TSTP Solution File: SWV421-1.405 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV421-1.405 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:13:07 EDT 2022
% Result : Unsatisfiable 7.43s 5.06s
% Output : Proof 18.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV421-1.405 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 03:15:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 7.43/5.06 % SZS status Unsatisfiable
% 7.43/5.06 % SZS output start Proof
% 7.43/5.06 tff(always19_type, type, (
% 7.43/5.06 always19: $i > $o)).
% 7.43/5.06 tff(s356_type, type, (
% 7.43/5.06 s356: $i)).
% 7.43/5.06 tff(s357_type, type, (
% 7.43/5.06 s357: $i)).
% 7.43/5.06 tff(s358_type, type, (
% 7.43/5.06 s358: $i)).
% 7.43/5.06 tff(m_main_v_state1_type, type, (
% 7.43/5.06 m_main_v_state1: ( $i * $i ) > $o)).
% 7.43/5.06 tff(c_c1_type, type, (
% 7.43/5.06 c_c1: $i)).
% 7.43/5.06 tff(node3_type, type, (
% 7.43/5.06 node3: $i > $o)).
% 7.43/5.06 tff(m_main_v_state2_type, type, (
% 7.43/5.06 m_main_v_state2: ( $i * $i ) > $o)).
% 7.43/5.06 tff(c_c2_type, type, (
% 7.43/5.06 c_c2: $i)).
% 7.43/5.06 tff(c_n2_type, type, (
% 7.43/5.06 c_n2: $i)).
% 7.43/5.06 tff(node12_type, type, (
% 7.43/5.06 node12: $i > $o)).
% 7.43/5.06 tff(c_t2_type, type, (
% 7.43/5.06 c_t2: $i)).
% 7.43/5.06 tff(node9_type, type, (
% 7.43/5.06 node9: $i > $o)).
% 7.43/5.06 tff(s355_type, type, (
% 7.43/5.06 s355: $i)).
% 7.43/5.06 tff(node13_type, type, (
% 7.43/5.06 node13: ( $i * $i ) > $o)).
% 7.43/5.06 tff(s354_type, type, (
% 7.43/5.06 s354: $i)).
% 7.43/5.06 tff(m_main_v_turn_type, type, (
% 7.43/5.06 m_main_v_turn: ( $i * $i ) > $o)).
% 7.43/5.06 tff(c_2_type, type, (
% 7.43/5.06 c_2: $i)).
% 7.43/5.06 tff(c_1_type, type, (
% 7.43/5.06 c_1: $i)).
% 7.43/5.06 tff(c_t1_type, type, (
% 7.43/5.06 c_t1: $i)).
% 7.43/5.06 tff(s353_type, type, (
% 7.43/5.06 s353: $i)).
% 7.43/5.06 tff(node6_type, type, (
% 7.43/5.06 node6: ( $i * $i ) > $o)).
% 7.43/5.06 tff(s352_type, type, (
% 7.43/5.06 s352: $i)).
% 7.43/5.06 tff(node1_type, type, (
% 7.43/5.06 node1: $i > $o)).
% 7.43/5.06 tff(c_n1_type, type, (
% 7.43/5.06 c_n1: $i)).
% 7.43/5.06 tff(s351_type, type, (
% 7.43/5.06 s351: $i)).
% 7.43/5.06 tff(node5_type, type, (
% 7.43/5.06 node5: $i > $o)).
% 7.43/5.06 tff(s350_type, type, (
% 7.43/5.06 s350: $i)).
% 7.43/5.06 tff(s349_type, type, (
% 7.43/5.06 s349: $i)).
% 7.43/5.06 tff(s348_type, type, (
% 7.43/5.06 s348: $i)).
% 7.43/5.06 tff(s347_type, type, (
% 7.43/5.06 s347: $i)).
% 7.43/5.06 tff(s346_type, type, (
% 7.43/5.06 s346: $i)).
% 7.43/5.06 tff(s345_type, type, (
% 7.43/5.06 s345: $i)).
% 7.43/5.06 tff(s344_type, type, (
% 7.43/5.06 s344: $i)).
% 7.43/5.06 tff(s343_type, type, (
% 7.43/5.06 s343: $i)).
% 7.43/5.06 tff(s342_type, type, (
% 7.43/5.06 s342: $i)).
% 7.43/5.06 tff(s341_type, type, (
% 7.43/5.06 s341: $i)).
% 7.43/5.06 tff(s340_type, type, (
% 7.43/5.06 s340: $i)).
% 7.43/5.06 tff(s339_type, type, (
% 7.43/5.06 s339: $i)).
% 7.43/5.06 tff(s338_type, type, (
% 7.43/5.06 s338: $i)).
% 7.43/5.06 tff(s337_type, type, (
% 7.43/5.06 s337: $i)).
% 7.43/5.06 tff(s336_type, type, (
% 7.43/5.06 s336: $i)).
% 7.43/5.06 tff(s335_type, type, (
% 7.43/5.06 s335: $i)).
% 7.43/5.06 tff(s334_type, type, (
% 7.43/5.06 s334: $i)).
% 7.43/5.06 tff(s333_type, type, (
% 7.43/5.06 s333: $i)).
% 7.43/5.06 tff(s332_type, type, (
% 7.43/5.06 s332: $i)).
% 7.43/5.06 tff(s331_type, type, (
% 7.43/5.06 s331: $i)).
% 7.43/5.06 tff(s330_type, type, (
% 7.43/5.06 s330: $i)).
% 7.43/5.06 tff(s329_type, type, (
% 7.43/5.06 s329: $i)).
% 7.43/5.06 tff(s328_type, type, (
% 7.43/5.06 s328: $i)).
% 7.43/5.06 tff(s327_type, type, (
% 7.43/5.06 s327: $i)).
% 7.43/5.06 tff(s326_type, type, (
% 7.43/5.06 s326: $i)).
% 7.43/5.06 tff(s325_type, type, (
% 7.43/5.06 s325: $i)).
% 7.43/5.06 tff(s324_type, type, (
% 7.43/5.06 s324: $i)).
% 7.43/5.06 tff(s323_type, type, (
% 7.43/5.06 s323: $i)).
% 7.43/5.06 tff(s322_type, type, (
% 7.43/5.06 s322: $i)).
% 7.43/5.06 tff(s321_type, type, (
% 7.43/5.06 s321: $i)).
% 7.43/5.06 tff(s320_type, type, (
% 7.43/5.06 s320: $i)).
% 7.43/5.06 tff(s319_type, type, (
% 7.43/5.06 s319: $i)).
% 7.43/5.06 tff(s318_type, type, (
% 7.43/5.06 s318: $i)).
% 7.43/5.06 tff(s317_type, type, (
% 7.43/5.06 s317: $i)).
% 7.43/5.06 tff(s316_type, type, (
% 7.43/5.06 s316: $i)).
% 7.43/5.06 tff(s315_type, type, (
% 7.43/5.06 s315: $i)).
% 7.43/5.06 tff(s314_type, type, (
% 7.43/5.06 s314: $i)).
% 7.43/5.06 tff(s313_type, type, (
% 7.43/5.06 s313: $i)).
% 7.43/5.06 tff(s312_type, type, (
% 7.43/5.06 s312: $i)).
% 7.43/5.06 tff(s311_type, type, (
% 7.43/5.06 s311: $i)).
% 7.43/5.06 tff(s310_type, type, (
% 7.43/5.06 s310: $i)).
% 7.43/5.06 tff(s309_type, type, (
% 7.43/5.06 s309: $i)).
% 7.43/5.06 tff(s308_type, type, (
% 7.43/5.06 s308: $i)).
% 7.43/5.06 tff(s307_type, type, (
% 7.43/5.06 s307: $i)).
% 7.43/5.06 tff(s306_type, type, (
% 7.43/5.06 s306: $i)).
% 7.43/5.06 tff(s305_type, type, (
% 7.43/5.06 s305: $i)).
% 7.43/5.06 tff(s304_type, type, (
% 7.43/5.06 s304: $i)).
% 7.43/5.06 tff(s303_type, type, (
% 7.43/5.06 s303: $i)).
% 7.43/5.06 tff(s302_type, type, (
% 7.43/5.06 s302: $i)).
% 7.43/5.06 tff(s301_type, type, (
% 7.43/5.06 s301: $i)).
% 7.43/5.06 tff(s300_type, type, (
% 7.43/5.06 s300: $i)).
% 7.43/5.06 tff(s299_type, type, (
% 7.43/5.06 s299: $i)).
% 7.43/5.06 tff(s298_type, type, (
% 7.43/5.06 s298: $i)).
% 7.43/5.06 tff(s297_type, type, (
% 7.43/5.06 s297: $i)).
% 7.43/5.06 tff(s296_type, type, (
% 7.43/5.06 s296: $i)).
% 7.43/5.06 tff(s295_type, type, (
% 7.43/5.06 s295: $i)).
% 7.43/5.06 tff(s294_type, type, (
% 7.43/5.06 s294: $i)).
% 7.43/5.06 tff(s293_type, type, (
% 7.43/5.06 s293: $i)).
% 7.43/5.06 tff(s292_type, type, (
% 7.43/5.06 s292: $i)).
% 7.43/5.06 tff(s291_type, type, (
% 7.43/5.06 s291: $i)).
% 7.43/5.06 tff(s290_type, type, (
% 7.43/5.06 s290: $i)).
% 7.43/5.06 tff(s289_type, type, (
% 7.43/5.06 s289: $i)).
% 7.43/5.06 tff(s288_type, type, (
% 7.43/5.06 s288: $i)).
% 7.43/5.06 tff(s287_type, type, (
% 7.43/5.06 s287: $i)).
% 7.43/5.06 tff(s286_type, type, (
% 7.43/5.06 s286: $i)).
% 7.43/5.06 tff(s285_type, type, (
% 7.43/5.06 s285: $i)).
% 7.43/5.06 tff(s284_type, type, (
% 7.43/5.06 s284: $i)).
% 7.43/5.06 tff(s283_type, type, (
% 7.43/5.06 s283: $i)).
% 7.43/5.06 tff(s282_type, type, (
% 7.43/5.06 s282: $i)).
% 7.43/5.06 tff(s281_type, type, (
% 7.43/5.06 s281: $i)).
% 7.43/5.06 tff(s280_type, type, (
% 7.43/5.06 s280: $i)).
% 7.43/5.06 tff(s279_type, type, (
% 7.43/5.06 s279: $i)).
% 7.43/5.06 tff(s278_type, type, (
% 7.43/5.06 s278: $i)).
% 7.43/5.06 tff(s277_type, type, (
% 7.43/5.06 s277: $i)).
% 7.43/5.06 tff(s276_type, type, (
% 7.43/5.07 s276: $i)).
% 7.43/5.07 tff(s275_type, type, (
% 7.43/5.07 s275: $i)).
% 7.43/5.07 tff(s274_type, type, (
% 7.43/5.07 s274: $i)).
% 7.43/5.07 tff(s273_type, type, (
% 7.43/5.07 s273: $i)).
% 7.43/5.07 tff(s272_type, type, (
% 7.43/5.07 s272: $i)).
% 7.43/5.07 tff(s271_type, type, (
% 7.43/5.07 s271: $i)).
% 7.43/5.07 tff(s270_type, type, (
% 7.43/5.07 s270: $i)).
% 7.43/5.07 tff(s269_type, type, (
% 7.43/5.07 s269: $i)).
% 7.43/5.07 tff(s268_type, type, (
% 7.43/5.07 s268: $i)).
% 7.43/5.07 tff(s267_type, type, (
% 7.43/5.07 s267: $i)).
% 7.43/5.07 tff(s266_type, type, (
% 7.43/5.07 s266: $i)).
% 7.43/5.07 tff(s265_type, type, (
% 7.43/5.07 s265: $i)).
% 7.43/5.07 tff(s264_type, type, (
% 7.43/5.07 s264: $i)).
% 7.43/5.07 tff(s263_type, type, (
% 7.43/5.07 s263: $i)).
% 7.43/5.07 tff(s262_type, type, (
% 7.43/5.07 s262: $i)).
% 7.43/5.07 tff(s261_type, type, (
% 7.43/5.07 s261: $i)).
% 7.43/5.07 tff(s260_type, type, (
% 7.43/5.07 s260: $i)).
% 7.43/5.07 tff(s259_type, type, (
% 7.43/5.07 s259: $i)).
% 7.43/5.07 tff(s258_type, type, (
% 7.43/5.07 s258: $i)).
% 7.43/5.07 tff(s257_type, type, (
% 7.43/5.07 s257: $i)).
% 7.43/5.07 tff(s256_type, type, (
% 7.43/5.07 s256: $i)).
% 7.43/5.07 tff(s255_type, type, (
% 7.43/5.07 s255: $i)).
% 7.43/5.07 tff(s254_type, type, (
% 7.43/5.07 s254: $i)).
% 7.43/5.07 tff(s253_type, type, (
% 7.43/5.07 s253: $i)).
% 7.43/5.07 tff(s252_type, type, (
% 7.43/5.07 s252: $i)).
% 7.43/5.07 tff(s251_type, type, (
% 7.43/5.07 s251: $i)).
% 7.43/5.07 tff(s250_type, type, (
% 7.43/5.07 s250: $i)).
% 7.43/5.07 tff(s249_type, type, (
% 7.43/5.07 s249: $i)).
% 7.43/5.07 tff(s248_type, type, (
% 7.43/5.07 s248: $i)).
% 7.43/5.07 tff(s247_type, type, (
% 7.43/5.07 s247: $i)).
% 7.43/5.07 tff(s246_type, type, (
% 7.43/5.07 s246: $i)).
% 7.43/5.07 tff(s245_type, type, (
% 7.43/5.07 s245: $i)).
% 7.43/5.07 tff(s244_type, type, (
% 7.43/5.07 s244: $i)).
% 7.43/5.07 tff(s243_type, type, (
% 7.43/5.07 s243: $i)).
% 7.43/5.07 tff(s242_type, type, (
% 7.43/5.07 s242: $i)).
% 7.43/5.07 tff(s241_type, type, (
% 7.43/5.07 s241: $i)).
% 7.43/5.07 tff(s240_type, type, (
% 7.43/5.07 s240: $i)).
% 7.43/5.07 tff(s239_type, type, (
% 7.43/5.07 s239: $i)).
% 7.43/5.07 tff(s238_type, type, (
% 7.43/5.07 s238: $i)).
% 7.43/5.07 tff(s237_type, type, (
% 7.43/5.07 s237: $i)).
% 7.43/5.07 tff(s236_type, type, (
% 7.43/5.07 s236: $i)).
% 7.43/5.07 tff(s235_type, type, (
% 7.43/5.07 s235: $i)).
% 7.43/5.07 tff(s234_type, type, (
% 7.43/5.07 s234: $i)).
% 7.43/5.07 tff(s233_type, type, (
% 7.43/5.07 s233: $i)).
% 7.43/5.07 tff(s232_type, type, (
% 7.43/5.07 s232: $i)).
% 7.43/5.07 tff(s231_type, type, (
% 7.43/5.07 s231: $i)).
% 7.43/5.07 tff(s230_type, type, (
% 7.43/5.07 s230: $i)).
% 7.43/5.07 tff(s229_type, type, (
% 7.43/5.07 s229: $i)).
% 7.43/5.07 tff(s228_type, type, (
% 7.43/5.07 s228: $i)).
% 7.43/5.07 tff(s227_type, type, (
% 7.43/5.07 s227: $i)).
% 7.43/5.07 tff(s226_type, type, (
% 7.43/5.07 s226: $i)).
% 7.43/5.07 tff(s225_type, type, (
% 7.43/5.07 s225: $i)).
% 7.43/5.07 tff(s224_type, type, (
% 7.43/5.07 s224: $i)).
% 7.43/5.07 tff(s223_type, type, (
% 7.43/5.07 s223: $i)).
% 7.43/5.07 tff(s222_type, type, (
% 7.43/5.07 s222: $i)).
% 7.43/5.07 tff(s221_type, type, (
% 7.43/5.07 s221: $i)).
% 7.43/5.07 tff(s220_type, type, (
% 7.43/5.07 s220: $i)).
% 7.43/5.07 tff(s219_type, type, (
% 7.43/5.07 s219: $i)).
% 7.43/5.07 tff(s218_type, type, (
% 7.43/5.07 s218: $i)).
% 7.43/5.07 tff(s217_type, type, (
% 7.43/5.07 s217: $i)).
% 7.43/5.07 tff(s216_type, type, (
% 7.43/5.07 s216: $i)).
% 7.43/5.07 tff(s215_type, type, (
% 7.43/5.07 s215: $i)).
% 7.43/5.07 tff(s214_type, type, (
% 7.43/5.07 s214: $i)).
% 7.43/5.07 tff(s213_type, type, (
% 7.43/5.07 s213: $i)).
% 7.43/5.07 tff(s212_type, type, (
% 7.43/5.07 s212: $i)).
% 7.43/5.07 tff(s211_type, type, (
% 7.43/5.07 s211: $i)).
% 7.43/5.07 tff(s210_type, type, (
% 7.43/5.07 s210: $i)).
% 7.43/5.07 tff(s209_type, type, (
% 7.43/5.07 s209: $i)).
% 7.43/5.07 tff(s208_type, type, (
% 7.43/5.07 s208: $i)).
% 7.43/5.07 tff(s207_type, type, (
% 7.43/5.07 s207: $i)).
% 7.43/5.07 tff(s206_type, type, (
% 7.43/5.07 s206: $i)).
% 7.43/5.07 tff(s205_type, type, (
% 7.43/5.07 s205: $i)).
% 7.43/5.07 tff(s204_type, type, (
% 7.43/5.07 s204: $i)).
% 7.43/5.07 tff(s203_type, type, (
% 7.43/5.07 s203: $i)).
% 7.43/5.07 tff(s202_type, type, (
% 7.43/5.07 s202: $i)).
% 7.43/5.07 tff(s201_type, type, (
% 7.43/5.07 s201: $i)).
% 7.43/5.07 tff(s200_type, type, (
% 7.43/5.07 s200: $i)).
% 7.43/5.07 tff(s199_type, type, (
% 7.43/5.07 s199: $i)).
% 7.43/5.07 tff(s198_type, type, (
% 7.43/5.07 s198: $i)).
% 7.43/5.07 tff(s197_type, type, (
% 7.43/5.07 s197: $i)).
% 7.43/5.07 tff(s196_type, type, (
% 7.43/5.07 s196: $i)).
% 7.43/5.07 tff(s195_type, type, (
% 7.43/5.07 s195: $i)).
% 7.43/5.07 tff(s194_type, type, (
% 7.43/5.07 s194: $i)).
% 7.43/5.07 tff(s193_type, type, (
% 7.43/5.07 s193: $i)).
% 7.43/5.07 tff(s192_type, type, (
% 7.43/5.07 s192: $i)).
% 7.43/5.07 tff(s191_type, type, (
% 7.43/5.07 s191: $i)).
% 7.43/5.07 tff(s190_type, type, (
% 7.43/5.07 s190: $i)).
% 7.43/5.07 tff(s189_type, type, (
% 7.43/5.07 s189: $i)).
% 7.43/5.07 tff(s188_type, type, (
% 7.43/5.07 s188: $i)).
% 7.43/5.07 tff(s187_type, type, (
% 7.43/5.07 s187: $i)).
% 7.43/5.07 tff(s186_type, type, (
% 7.43/5.07 s186: $i)).
% 7.43/5.07 tff(s185_type, type, (
% 7.43/5.07 s185: $i)).
% 7.43/5.07 tff(s184_type, type, (
% 7.43/5.07 s184: $i)).
% 7.43/5.07 tff(s183_type, type, (
% 7.43/5.07 s183: $i)).
% 7.43/5.07 tff(s182_type, type, (
% 7.43/5.07 s182: $i)).
% 7.43/5.07 tff(s181_type, type, (
% 7.43/5.07 s181: $i)).
% 7.43/5.07 tff(s180_type, type, (
% 7.43/5.07 s180: $i)).
% 7.43/5.07 tff(s179_type, type, (
% 7.43/5.07 s179: $i)).
% 7.43/5.07 tff(s178_type, type, (
% 7.43/5.07 s178: $i)).
% 7.43/5.07 tff(s177_type, type, (
% 7.43/5.07 s177: $i)).
% 7.43/5.07 tff(s176_type, type, (
% 7.43/5.07 s176: $i)).
% 7.43/5.07 tff(s175_type, type, (
% 7.43/5.07 s175: $i)).
% 7.43/5.07 tff(s174_type, type, (
% 7.43/5.07 s174: $i)).
% 7.43/5.07 tff(s173_type, type, (
% 7.43/5.07 s173: $i)).
% 7.43/5.07 tff(s172_type, type, (
% 7.43/5.07 s172: $i)).
% 7.43/5.07 tff(s171_type, type, (
% 7.43/5.07 s171: $i)).
% 7.43/5.07 tff(s170_type, type, (
% 7.43/5.07 s170: $i)).
% 7.43/5.07 tff(s169_type, type, (
% 7.43/5.07 s169: $i)).
% 7.43/5.07 tff(s168_type, type, (
% 7.44/5.07 s168: $i)).
% 7.44/5.07 tff(s167_type, type, (
% 7.44/5.07 s167: $i)).
% 7.44/5.07 tff(s166_type, type, (
% 7.44/5.07 s166: $i)).
% 7.44/5.07 tff(s165_type, type, (
% 7.44/5.07 s165: $i)).
% 7.44/5.07 tff(s164_type, type, (
% 7.44/5.07 s164: $i)).
% 7.44/5.07 tff(s163_type, type, (
% 7.44/5.07 s163: $i)).
% 7.44/5.07 tff(s162_type, type, (
% 7.44/5.07 s162: $i)).
% 7.44/5.07 tff(s161_type, type, (
% 7.44/5.07 s161: $i)).
% 7.44/5.07 tff(s160_type, type, (
% 7.44/5.07 s160: $i)).
% 7.44/5.07 tff(s159_type, type, (
% 7.44/5.07 s159: $i)).
% 7.44/5.07 tff(s158_type, type, (
% 7.44/5.07 s158: $i)).
% 7.44/5.07 tff(s157_type, type, (
% 7.44/5.07 s157: $i)).
% 7.44/5.07 tff(s156_type, type, (
% 7.44/5.07 s156: $i)).
% 7.44/5.07 tff(s155_type, type, (
% 7.44/5.07 s155: $i)).
% 7.44/5.07 tff(s154_type, type, (
% 7.44/5.07 s154: $i)).
% 7.44/5.07 tff(s153_type, type, (
% 7.44/5.07 s153: $i)).
% 7.44/5.07 tff(s152_type, type, (
% 7.44/5.07 s152: $i)).
% 7.44/5.07 tff(s151_type, type, (
% 7.44/5.07 s151: $i)).
% 7.44/5.07 tff(s150_type, type, (
% 7.44/5.07 s150: $i)).
% 7.44/5.07 tff(s149_type, type, (
% 7.44/5.07 s149: $i)).
% 7.44/5.07 tff(s148_type, type, (
% 7.44/5.07 s148: $i)).
% 7.44/5.07 tff(s147_type, type, (
% 7.44/5.07 s147: $i)).
% 7.44/5.07 tff(s146_type, type, (
% 7.44/5.07 s146: $i)).
% 7.44/5.07 tff(s145_type, type, (
% 7.44/5.07 s145: $i)).
% 7.44/5.07 tff(s144_type, type, (
% 7.44/5.07 s144: $i)).
% 7.44/5.07 tff(s143_type, type, (
% 7.44/5.07 s143: $i)).
% 7.44/5.07 tff(s142_type, type, (
% 7.44/5.07 s142: $i)).
% 7.44/5.07 tff(s141_type, type, (
% 7.44/5.07 s141: $i)).
% 7.44/5.07 tff(s140_type, type, (
% 7.44/5.07 s140: $i)).
% 7.44/5.07 tff(s139_type, type, (
% 7.44/5.07 s139: $i)).
% 7.44/5.07 tff(s138_type, type, (
% 7.44/5.07 s138: $i)).
% 7.44/5.07 tff(s137_type, type, (
% 7.44/5.07 s137: $i)).
% 7.44/5.07 tff(s136_type, type, (
% 7.44/5.07 s136: $i)).
% 7.44/5.07 tff(s135_type, type, (
% 7.44/5.07 s135: $i)).
% 7.44/5.07 tff(s134_type, type, (
% 7.44/5.07 s134: $i)).
% 7.44/5.07 tff(s133_type, type, (
% 7.44/5.07 s133: $i)).
% 7.44/5.07 tff(s132_type, type, (
% 7.44/5.07 s132: $i)).
% 7.44/5.07 tff(s131_type, type, (
% 7.44/5.07 s131: $i)).
% 7.44/5.07 tff(s130_type, type, (
% 7.44/5.07 s130: $i)).
% 7.44/5.07 tff(s129_type, type, (
% 7.44/5.07 s129: $i)).
% 7.44/5.07 tff(s128_type, type, (
% 7.44/5.07 s128: $i)).
% 7.44/5.07 tff(s127_type, type, (
% 7.44/5.07 s127: $i)).
% 7.44/5.07 tff(s126_type, type, (
% 7.44/5.07 s126: $i)).
% 7.44/5.07 tff(s125_type, type, (
% 7.44/5.07 s125: $i)).
% 7.44/5.07 tff(s124_type, type, (
% 7.44/5.07 s124: $i)).
% 7.44/5.07 tff(s123_type, type, (
% 7.44/5.07 s123: $i)).
% 7.44/5.07 tff(s122_type, type, (
% 7.44/5.07 s122: $i)).
% 7.44/5.07 tff(s121_type, type, (
% 7.44/5.07 s121: $i)).
% 7.44/5.07 tff(s120_type, type, (
% 7.44/5.07 s120: $i)).
% 7.44/5.07 tff(s119_type, type, (
% 7.44/5.07 s119: $i)).
% 7.44/5.07 tff(s118_type, type, (
% 7.44/5.07 s118: $i)).
% 7.44/5.07 tff(s117_type, type, (
% 7.44/5.07 s117: $i)).
% 7.44/5.07 tff(s116_type, type, (
% 7.44/5.07 s116: $i)).
% 7.44/5.07 tff(s115_type, type, (
% 7.44/5.07 s115: $i)).
% 7.44/5.07 tff(s114_type, type, (
% 7.44/5.07 s114: $i)).
% 7.44/5.07 tff(s113_type, type, (
% 7.44/5.07 s113: $i)).
% 7.44/5.07 tff(s112_type, type, (
% 7.44/5.07 s112: $i)).
% 7.44/5.07 tff(s111_type, type, (
% 7.44/5.07 s111: $i)).
% 7.44/5.07 tff(s110_type, type, (
% 7.44/5.07 s110: $i)).
% 7.44/5.07 tff(s109_type, type, (
% 7.44/5.07 s109: $i)).
% 7.44/5.07 tff(s108_type, type, (
% 7.44/5.07 s108: $i)).
% 7.44/5.07 tff(s107_type, type, (
% 7.44/5.07 s107: $i)).
% 7.44/5.07 tff(s106_type, type, (
% 7.44/5.07 s106: $i)).
% 7.44/5.07 tff(s105_type, type, (
% 7.44/5.07 s105: $i)).
% 7.44/5.07 tff(s104_type, type, (
% 7.44/5.07 s104: $i)).
% 7.44/5.07 tff(s103_type, type, (
% 7.44/5.07 s103: $i)).
% 7.44/5.07 tff(s102_type, type, (
% 7.44/5.07 s102: $i)).
% 7.44/5.07 tff(s101_type, type, (
% 7.44/5.07 s101: $i)).
% 7.44/5.07 tff(s100_type, type, (
% 7.44/5.07 s100: $i)).
% 7.44/5.07 tff(s99_type, type, (
% 7.44/5.07 s99: $i)).
% 7.44/5.07 tff(s98_type, type, (
% 7.44/5.07 s98: $i)).
% 7.44/5.07 tff(s97_type, type, (
% 7.44/5.07 s97: $i)).
% 7.44/5.07 tff(s96_type, type, (
% 7.44/5.07 s96: $i)).
% 7.44/5.07 tff(s95_type, type, (
% 7.44/5.07 s95: $i)).
% 7.44/5.07 tff(s94_type, type, (
% 7.44/5.07 s94: $i)).
% 7.44/5.07 tff(s93_type, type, (
% 7.44/5.07 s93: $i)).
% 7.44/5.07 tff(s92_type, type, (
% 7.44/5.07 s92: $i)).
% 7.44/5.07 tff(s91_type, type, (
% 7.44/5.07 s91: $i)).
% 7.44/5.07 tff(s90_type, type, (
% 7.44/5.07 s90: $i)).
% 7.44/5.07 tff(s89_type, type, (
% 7.44/5.07 s89: $i)).
% 7.44/5.07 tff(s88_type, type, (
% 7.44/5.07 s88: $i)).
% 7.44/5.07 tff(s87_type, type, (
% 7.44/5.07 s87: $i)).
% 7.44/5.07 tff(s86_type, type, (
% 7.44/5.07 s86: $i)).
% 7.44/5.07 tff(s85_type, type, (
% 7.44/5.07 s85: $i)).
% 7.44/5.07 tff(s84_type, type, (
% 7.44/5.07 s84: $i)).
% 7.44/5.07 tff(s83_type, type, (
% 7.44/5.07 s83: $i)).
% 7.44/5.07 tff(s82_type, type, (
% 7.44/5.07 s82: $i)).
% 7.44/5.07 tff(s81_type, type, (
% 7.44/5.07 s81: $i)).
% 7.44/5.07 tff(s80_type, type, (
% 7.44/5.07 s80: $i)).
% 7.44/5.07 tff(s79_type, type, (
% 7.44/5.07 s79: $i)).
% 7.44/5.07 tff(s78_type, type, (
% 7.44/5.07 s78: $i)).
% 7.44/5.07 tff(s77_type, type, (
% 7.44/5.07 s77: $i)).
% 7.44/5.07 tff(s76_type, type, (
% 7.44/5.07 s76: $i)).
% 7.44/5.07 tff(s75_type, type, (
% 7.44/5.07 s75: $i)).
% 7.44/5.07 tff(s74_type, type, (
% 7.44/5.07 s74: $i)).
% 7.44/5.07 tff(s73_type, type, (
% 7.44/5.07 s73: $i)).
% 7.44/5.07 tff(s72_type, type, (
% 7.44/5.07 s72: $i)).
% 7.44/5.07 tff(s71_type, type, (
% 7.44/5.07 s71: $i)).
% 7.44/5.07 tff(s70_type, type, (
% 7.44/5.07 s70: $i)).
% 7.44/5.07 tff(s69_type, type, (
% 7.44/5.07 s69: $i)).
% 7.44/5.07 tff(s68_type, type, (
% 7.44/5.07 s68: $i)).
% 7.44/5.07 tff(s67_type, type, (
% 7.44/5.07 s67: $i)).
% 7.44/5.07 tff(s66_type, type, (
% 7.44/5.07 s66: $i)).
% 7.44/5.07 tff(s65_type, type, (
% 7.44/5.07 s65: $i)).
% 7.44/5.07 tff(s64_type, type, (
% 7.44/5.07 s64: $i)).
% 7.44/5.07 tff(s63_type, type, (
% 7.44/5.07 s63: $i)).
% 7.44/5.07 tff(s62_type, type, (
% 7.44/5.07 s62: $i)).
% 7.44/5.07 tff(s61_type, type, (
% 7.44/5.07 s61: $i)).
% 7.44/5.07 tff(s60_type, type, (
% 7.44/5.07 s60: $i)).
% 7.44/5.07 tff(s59_type, type, (
% 7.44/5.07 s59: $i)).
% 7.44/5.07 tff(s58_type, type, (
% 7.44/5.07 s58: $i)).
% 7.44/5.07 tff(s57_type, type, (
% 7.44/5.07 s57: $i)).
% 7.44/5.07 tff(s56_type, type, (
% 7.44/5.07 s56: $i)).
% 7.44/5.07 tff(s55_type, type, (
% 7.44/5.07 s55: $i)).
% 7.44/5.07 tff(s54_type, type, (
% 7.44/5.07 s54: $i)).
% 7.44/5.07 tff(s53_type, type, (
% 7.44/5.07 s53: $i)).
% 7.44/5.07 tff(s52_type, type, (
% 7.44/5.07 s52: $i)).
% 7.44/5.07 tff(s51_type, type, (
% 7.44/5.07 s51: $i)).
% 7.44/5.07 tff(s50_type, type, (
% 7.44/5.07 s50: $i)).
% 7.44/5.07 tff(s49_type, type, (
% 7.44/5.07 s49: $i)).
% 7.44/5.07 tff(s48_type, type, (
% 7.44/5.07 s48: $i)).
% 7.44/5.07 tff(s47_type, type, (
% 7.44/5.07 s47: $i)).
% 7.44/5.07 tff(s46_type, type, (
% 7.44/5.07 s46: $i)).
% 7.44/5.07 tff(s45_type, type, (
% 7.44/5.07 s45: $i)).
% 7.44/5.07 tff(s44_type, type, (
% 7.44/5.07 s44: $i)).
% 7.44/5.07 tff(s43_type, type, (
% 7.44/5.07 s43: $i)).
% 7.44/5.07 tff(s42_type, type, (
% 7.44/5.07 s42: $i)).
% 7.44/5.07 tff(s41_type, type, (
% 7.44/5.07 s41: $i)).
% 7.44/5.07 tff(s40_type, type, (
% 7.44/5.07 s40: $i)).
% 7.44/5.07 tff(s39_type, type, (
% 7.44/5.07 s39: $i)).
% 7.44/5.07 tff(s38_type, type, (
% 7.44/5.07 s38: $i)).
% 7.44/5.07 tff(s37_type, type, (
% 7.44/5.07 s37: $i)).
% 7.44/5.07 tff(s36_type, type, (
% 7.44/5.07 s36: $i)).
% 7.44/5.07 tff(s35_type, type, (
% 7.44/5.07 s35: $i)).
% 7.44/5.07 tff(s34_type, type, (
% 7.44/5.07 s34: $i)).
% 7.44/5.07 tff(s33_type, type, (
% 7.44/5.07 s33: $i)).
% 7.44/5.07 tff(s32_type, type, (
% 7.44/5.07 s32: $i)).
% 7.44/5.07 tff(s31_type, type, (
% 7.44/5.07 s31: $i)).
% 7.44/5.07 tff(s30_type, type, (
% 7.44/5.07 s30: $i)).
% 7.44/5.07 tff(s29_type, type, (
% 7.44/5.07 s29: $i)).
% 7.44/5.07 tff(s28_type, type, (
% 7.44/5.07 s28: $i)).
% 7.44/5.07 tff(s27_type, type, (
% 7.44/5.07 s27: $i)).
% 7.44/5.07 tff(s26_type, type, (
% 7.44/5.07 s26: $i)).
% 7.44/5.07 tff(s25_type, type, (
% 7.44/5.07 s25: $i)).
% 7.44/5.07 tff(s24_type, type, (
% 7.44/5.07 s24: $i)).
% 7.44/5.07 tff(s23_type, type, (
% 7.44/5.07 s23: $i)).
% 7.44/5.07 tff(s22_type, type, (
% 7.44/5.07 s22: $i)).
% 7.44/5.07 tff(s21_type, type, (
% 7.44/5.07 s21: $i)).
% 7.44/5.07 tff(s20_type, type, (
% 7.44/5.07 s20: $i)).
% 7.44/5.07 tff(s19_type, type, (
% 7.44/5.07 s19: $i)).
% 7.44/5.07 tff(s18_type, type, (
% 7.44/5.07 s18: $i)).
% 7.44/5.07 tff(s17_type, type, (
% 7.44/5.07 s17: $i)).
% 7.44/5.07 tff(s16_type, type, (
% 7.44/5.07 s16: $i)).
% 7.44/5.07 tff(s15_type, type, (
% 7.44/5.07 s15: $i)).
% 7.44/5.07 tff(s14_type, type, (
% 7.44/5.07 s14: $i)).
% 7.44/5.07 tff(s13_type, type, (
% 7.44/5.07 s13: $i)).
% 7.44/5.07 tff(s12_type, type, (
% 7.44/5.07 s12: $i)).
% 7.44/5.07 tff(s11_type, type, (
% 7.44/5.07 s11: $i)).
% 7.44/5.07 tff(s10_type, type, (
% 7.44/5.07 s10: $i)).
% 7.44/5.07 tff(s9_type, type, (
% 7.44/5.07 s9: $i)).
% 7.44/5.07 tff(s8_type, type, (
% 7.44/5.07 s8: $i)).
% 7.44/5.07 tff(s7_type, type, (
% 7.44/5.07 s7: $i)).
% 7.44/5.07 tff(s6_type, type, (
% 7.44/5.07 s6: $i)).
% 7.44/5.07 tff(s5_type, type, (
% 7.44/5.07 s5: $i)).
% 7.44/5.07 tff(s4_type, type, (
% 7.44/5.07 s4: $i)).
% 7.44/5.07 tff(s3_type, type, (
% 7.44/5.07 s3: $i)).
% 7.44/5.07 tff(s2_type, type, (
% 7.44/5.07 s2: $i)).
% 7.44/5.07 tff(s1_type, type, (
% 7.44/5.07 s1: $i)).
% 7.44/5.07 tff(node8_type, type, (
% 7.44/5.07 node8: $i > $o)).
% 7.44/5.07 tff(s0_type, type, (
% 7.44/5.07 s0: $i)).
% 7.44/5.07 tff(node14_type, type, (
% 7.44/5.07 node14: ( $i * $i ) > $o)).
% 7.44/5.07 tff(trans_type, type, (
% 7.44/5.07 trans: ( $i * $i ) > $o)).
% 7.44/5.07 tff(succ_type, type, (
% 7.44/5.07 succ: ( $i * $i ) > $o)).
% 7.44/5.07 tff(node17_type, type, (
% 7.44/5.07 node17: ( $i * $i ) > $o)).
% 7.44/5.07 tff(node15_type, type, (
% 7.44/5.07 node15: $i > $o)).
% 7.44/5.07 tff(node16_type, type, (
% 7.44/5.07 node16: $i > $o)).
% 7.44/5.07 tff(node18_type, type, (
% 7.44/5.07 node18: ( $i * $i ) > $o)).
% 7.44/5.07 tff(node11_type, type, (
% 7.44/5.07 node11: $i > $o)).
% 7.44/5.07 tff(node7_type, type, (
% 7.44/5.07 node7: ( $i * $i ) > $o)).
% 7.44/5.07 tff(node10_type, type, (
% 7.44/5.07 node10: $i > $o)).
% 7.44/5.07 tff(node4_type, type, (
% 7.44/5.07 node4: $i > $o)).
% 7.44/5.07 tff(node2_type, type, (
% 7.44/5.07 node2: $i > $o)).
% 7.44/5.07 tff(s404_type, type, (
% 7.44/5.07 s404: $i)).
% 7.44/5.07 tff(node20_type, type, (
% 7.44/5.07 node20: $i > $o)).
% 7.44/5.07 tff(xuntil22_type, type, (
% 7.44/5.07 xuntil22: $i > $o)).
% 7.44/5.07 tff(until21_type, type, (
% 7.44/5.07 until21: $i > $o)).
% 7.44/5.07 tff(s403_type, type, (
% 7.44/5.07 s403: $i)).
% 7.44/5.07 tff(s402_type, type, (
% 7.44/5.07 s402: $i)).
% 7.44/5.07 tff(s401_type, type, (
% 7.44/5.07 s401: $i)).
% 7.44/5.07 tff(s400_type, type, (
% 7.44/5.07 s400: $i)).
% 7.44/5.07 tff(s399_type, type, (
% 7.44/5.07 s399: $i)).
% 7.44/5.07 tff(s398_type, type, (
% 7.44/5.07 s398: $i)).
% 7.44/5.07 tff(s397_type, type, (
% 7.44/5.07 s397: $i)).
% 7.44/5.07 tff(s396_type, type, (
% 7.44/5.07 s396: $i)).
% 7.44/5.07 tff(s395_type, type, (
% 7.44/5.07 s395: $i)).
% 7.44/5.07 tff(s394_type, type, (
% 7.44/5.07 s394: $i)).
% 7.44/5.07 tff(s393_type, type, (
% 7.44/5.07 s393: $i)).
% 7.44/5.07 tff(s392_type, type, (
% 7.44/5.07 s392: $i)).
% 7.44/5.07 tff(s391_type, type, (
% 7.44/5.07 s391: $i)).
% 7.44/5.07 tff(s390_type, type, (
% 7.44/5.07 s390: $i)).
% 7.44/5.07 tff(s389_type, type, (
% 7.44/5.07 s389: $i)).
% 7.44/5.07 tff(s388_type, type, (
% 7.44/5.07 s388: $i)).
% 7.44/5.07 tff(s387_type, type, (
% 7.44/5.07 s387: $i)).
% 7.44/5.07 tff(s386_type, type, (
% 7.44/5.07 s386: $i)).
% 7.44/5.07 tff(s385_type, type, (
% 7.44/5.07 s385: $i)).
% 7.44/5.07 tff(s384_type, type, (
% 7.44/5.07 s384: $i)).
% 7.44/5.07 tff(s383_type, type, (
% 7.44/5.07 s383: $i)).
% 7.44/5.07 tff(s382_type, type, (
% 7.44/5.07 s382: $i)).
% 7.44/5.07 tff(s381_type, type, (
% 7.44/5.07 s381: $i)).
% 7.44/5.07 tff(s380_type, type, (
% 7.44/5.07 s380: $i)).
% 7.44/5.07 tff(s379_type, type, (
% 7.44/5.07 s379: $i)).
% 7.44/5.07 tff(s378_type, type, (
% 7.44/5.07 s378: $i)).
% 7.44/5.07 tff(s377_type, type, (
% 7.44/5.07 s377: $i)).
% 7.44/5.07 tff(s376_type, type, (
% 7.44/5.07 s376: $i)).
% 7.44/5.07 tff(s375_type, type, (
% 7.44/5.07 s375: $i)).
% 7.44/5.07 tff(s374_type, type, (
% 7.44/5.07 s374: $i)).
% 7.44/5.07 tff(s373_type, type, (
% 7.44/5.07 s373: $i)).
% 7.44/5.07 tff(s372_type, type, (
% 7.44/5.07 s372: $i)).
% 7.44/5.07 tff(s371_type, type, (
% 7.44/5.07 s371: $i)).
% 7.44/5.07 tff(s370_type, type, (
% 7.44/5.07 s370: $i)).
% 7.44/5.07 tff(s369_type, type, (
% 7.44/5.07 s369: $i)).
% 7.44/5.07 tff(s368_type, type, (
% 7.44/5.07 s368: $i)).
% 7.44/5.07 tff(s367_type, type, (
% 7.44/5.07 s367: $i)).
% 7.44/5.07 tff(s366_type, type, (
% 7.44/5.07 s366: $i)).
% 7.44/5.07 tff(s365_type, type, (
% 7.44/5.07 s365: $i)).
% 7.44/5.07 tff(s364_type, type, (
% 7.44/5.07 s364: $i)).
% 7.44/5.07 tff(s363_type, type, (
% 7.44/5.07 s363: $i)).
% 7.44/5.07 tff(s362_type, type, (
% 7.44/5.07 s362: $i)).
% 7.44/5.07 tff(s361_type, type, (
% 7.44/5.07 s361: $i)).
% 7.44/5.07 tff(s360_type, type, (
% 7.44/5.07 s360: $i)).
% 7.44/5.07 tff(s359_type, type, (
% 7.44/5.07 s359: $i)).
% 7.44/5.07 tff(until2p23_type, type, (
% 7.44/5.07 until2p23: $i > $o)).
% 7.44/5.07 tff(xuntil2p24_type, type, (
% 7.44/5.07 xuntil2p24: $i > $o)).
% 7.44/5.07 tff(last_type, type, (
% 7.44/5.07 last: $i > $o)).
% 7.44/5.07 tff(loop_type, type, (
% 7.44/5.07 loop: $o)).
% 7.44/5.07 tff(1,plain,
% 7.44/5.07 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(2,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_11')).
% 7.44/5.07 tff(3,plain,
% 7.44/5.07 (m_main_v_state1(s0, c_n1)),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[2, 1])).
% 7.44/5.07 tff(4,plain,
% 7.44/5.07 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(5,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[4])).
% 7.44/5.07 tff(6,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(7,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 7.44/5.07 tff(8,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[7, 6])).
% 7.44/5.07 tff(9,plain,(
% 7.44/5.07 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[8])).
% 7.44/5.07 tff(10,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[9, 5])).
% 7.44/5.07 tff(11,plain,
% 7.44/5.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(12,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(13,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[12, 11])).
% 7.44/5.07 tff(14,plain,
% 7.44/5.07 (~m_main_v_state1(s0, c_t1)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 7.44/5.07 tff(15,plain,
% 7.44/5.07 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(16,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[15])).
% 7.44/5.07 tff(17,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(18,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_36')).
% 7.44/5.07 tff(19,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[18, 17])).
% 7.44/5.07 tff(20,plain,(
% 7.44/5.07 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[19])).
% 7.44/5.07 tff(21,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[20, 16])).
% 7.44/5.07 tff(22,plain,
% 7.44/5.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(23,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(24,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[23, 22])).
% 7.44/5.07 tff(25,plain,
% 7.44/5.07 (~node8(s0)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 7.44/5.07 tff(26,plain,
% 7.44/5.07 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(27,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[26])).
% 7.44/5.07 tff(28,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(29,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound406')).
% 7.44/5.07 tff(30,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[29, 28])).
% 7.44/5.07 tff(31,plain,(
% 7.44/5.07 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.44/5.07 inference(skolemize,[status(sab)],[30])).
% 7.44/5.07 tff(32,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[31, 27])).
% 7.44/5.07 tff(33,plain,
% 7.44/5.07 (succ(s0, s1) <=> succ(s0, s1)),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(34,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 7.44/5.07 tff(35,plain,
% 7.44/5.07 (succ(s0, s1)),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[34, 33])).
% 7.44/5.07 tff(36,plain,
% 7.44/5.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(37,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(38,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[37, 36])).
% 7.44/5.07 tff(39,plain,
% 7.44/5.07 (trans(s0, s1)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[38, 35, 32])).
% 7.44/5.07 tff(40,plain,
% 7.44/5.07 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(41,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[40])).
% 7.44/5.07 tff(42,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(43,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_55')).
% 7.44/5.07 tff(44,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[43, 42])).
% 7.44/5.07 tff(45,plain,(
% 7.44/5.07 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 7.44/5.07 inference(skolemize,[status(sab)],[44])).
% 7.44/5.07 tff(46,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[45, 41])).
% 7.44/5.07 tff(47,plain,
% 7.44/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(48,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(49,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[48, 47])).
% 7.44/5.07 tff(50,plain,
% 7.44/5.07 (node14(s0, s1)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 7.44/5.07 tff(51,plain,
% 7.44/5.07 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(52,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[51])).
% 7.44/5.07 tff(53,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(54,plain,
% 7.44/5.07 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(55,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[54])).
% 7.44/5.07 tff(56,axiom,(![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_49')).
% 7.44/5.07 tff(57,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[56, 55])).
% 7.44/5.07 tff(58,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[57, 53])).
% 7.44/5.07 tff(59,plain,(
% 7.44/5.07 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(skolemize,[status(sab)],[58])).
% 7.44/5.07 tff(60,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[59, 52])).
% 7.44/5.07 tff(61,plain,
% 7.44/5.07 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(62,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_12')).
% 7.44/5.07 tff(63,plain,
% 7.44/5.07 (m_main_v_state2(s0, c_n2)),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[62, 61])).
% 7.44/5.07 tff(64,plain,
% 7.44/5.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(65,plain,
% 7.44/5.07 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(66,plain,
% 7.44/5.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))))),
% 7.44/5.07 inference(monotonicity,[status(thm)],[65])).
% 7.44/5.07 tff(67,plain,
% 7.44/5.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 7.44/5.07 inference(transitivity,[status(thm)],[66, 64])).
% 7.44/5.07 tff(68,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(69,plain,
% 7.44/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[68, 67])).
% 7.44/5.07 tff(70,plain,
% 7.44/5.07 (m_main_v_state2(s1, c_t2)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[69, 3, 63, 60, 50, 25])).
% 7.44/5.07 tff(71,plain,
% 7.44/5.07 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(72,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[71])).
% 7.44/5.07 tff(73,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(74,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 7.44/5.07 tff(75,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[74, 73])).
% 7.44/5.07 tff(76,plain,(
% 7.44/5.07 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[75])).
% 7.44/5.07 tff(77,plain,
% 7.44/5.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[76, 72])).
% 7.44/5.07 tff(78,plain,
% 7.44/5.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(79,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(80,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[79, 78])).
% 7.44/5.07 tff(81,plain,
% 7.44/5.07 (~m_main_v_state2(s1, c_n2)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[80, 77, 70])).
% 7.44/5.07 tff(82,plain,
% 7.44/5.07 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(83,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[82])).
% 7.44/5.07 tff(84,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(85,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_37')).
% 7.44/5.07 tff(86,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[85, 84])).
% 7.44/5.07 tff(87,plain,(
% 7.44/5.07 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[86])).
% 7.44/5.07 tff(88,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[87, 83])).
% 7.44/5.07 tff(89,plain,
% 7.44/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(90,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(91,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[90, 89])).
% 7.44/5.07 tff(92,plain,
% 7.44/5.07 (~node9(s1)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[91, 88, 81])).
% 7.44/5.07 tff(93,plain,
% 7.44/5.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(94,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(95,plain,
% 7.44/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[94, 93])).
% 7.44/5.07 tff(96,plain,
% 7.44/5.07 (~m_main_v_state2(s0, c_t2)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[95, 77, 63])).
% 7.44/5.07 tff(97,plain,
% 7.44/5.07 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(98,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[97])).
% 7.44/5.07 tff(99,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(100,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_57')).
% 7.44/5.07 tff(101,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[100, 99])).
% 7.44/5.07 tff(102,plain,(
% 7.44/5.07 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[101])).
% 7.44/5.07 tff(103,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[102, 98])).
% 7.44/5.07 tff(104,plain,
% 7.44/5.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(105,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(106,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[105, 104])).
% 7.44/5.07 tff(107,plain,
% 7.44/5.07 (~node15(s0)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[106, 103, 96])).
% 7.44/5.07 tff(108,plain,
% 7.44/5.07 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(109,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[108])).
% 7.44/5.07 tff(110,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(111,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_59')).
% 7.44/5.07 tff(112,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[111, 110])).
% 7.44/5.07 tff(113,plain,(
% 7.44/5.07 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 7.44/5.07 inference(skolemize,[status(sab)],[112])).
% 7.44/5.07 tff(114,plain,
% 7.44/5.07 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[113, 109])).
% 7.44/5.07 tff(115,plain,
% 7.44/5.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(116,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 7.44/5.07 inference(quant_inst,[status(thm)],[])).
% 7.44/5.07 tff(117,plain,
% 7.44/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[116, 115])).
% 7.44/5.07 tff(118,plain,
% 7.44/5.07 (~node16(s0)),
% 7.44/5.07 inference(unit_resolution,[status(thm)],[117, 114, 14])).
% 7.44/5.07 tff(119,plain,
% 7.44/5.07 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 7.44/5.07 inference(bind,[status(th)],[])).
% 7.44/5.07 tff(120,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 7.44/5.07 inference(quant_intro,[status(thm)],[119])).
% 7.44/5.07 tff(121,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 7.44/5.07 inference(rewrite,[status(thm)],[])).
% 7.44/5.07 tff(122,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_65')).
% 7.44/5.07 tff(123,plain,
% 7.44/5.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 7.44/5.07 inference(modus_ponens,[status(thm)],[122, 121])).
% 7.44/5.08 tff(124,plain,(
% 7.44/5.08 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 7.44/5.08 inference(skolemize,[status(sab)],[123])).
% 7.44/5.08 tff(125,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[124, 120])).
% 7.44/5.08 tff(126,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(127,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(128,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[127, 126])).
% 7.44/5.08 tff(129,plain,
% 7.44/5.08 (node18(s0, s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[128, 125, 39])).
% 7.44/5.08 tff(130,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : refl((node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(131,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[130])).
% 7.44/5.08 tff(132,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(133,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((node15(X) | node16(X)) | node17(X, Y)) <=> (node15(X) | node16(X) | node17(X, Y))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))))), rewrite(((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(134,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[133])).
% 7.44/5.08 tff(135,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_64')).
% 7.44/5.08 tff(136,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[135, 134])).
% 7.44/5.08 tff(137,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[136, 132])).
% 7.44/5.08 tff(138,plain,(
% 7.44/5.08 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[137])).
% 7.44/5.08 tff(139,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[138, 131])).
% 7.44/5.08 tff(140,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(141,plain,
% 7.44/5.08 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(142,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))))),
% 7.44/5.08 inference(monotonicity,[status(thm)],[141])).
% 7.44/5.08 tff(143,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 7.44/5.08 inference(transitivity,[status(thm)],[142, 140])).
% 7.44/5.08 tff(144,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(145,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[144, 143])).
% 7.44/5.08 tff(146,plain,
% 7.44/5.08 (node17(s0, s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[145, 139, 129, 118, 107])).
% 7.44/5.08 tff(147,plain,
% 7.44/5.08 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(148,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_13')).
% 7.44/5.08 tff(149,plain,
% 7.44/5.08 (m_main_v_turn(s0, c_1)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[148, 147])).
% 7.44/5.08 tff(150,plain,
% 7.44/5.08 (^[X: $i] : refl(((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(151,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[150])).
% 7.44/5.08 tff(152,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(153,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_10')).
% 7.44/5.08 tff(154,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[153, 152])).
% 7.44/5.08 tff(155,plain,(
% 7.44/5.08 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[154])).
% 7.44/5.08 tff(156,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[155, 151])).
% 7.44/5.08 tff(157,plain,
% 7.44/5.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(158,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(159,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[158, 157])).
% 7.44/5.08 tff(160,plain,
% 7.44/5.08 (~m_main_v_turn(s0, c_2)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[159, 156, 149])).
% 7.44/5.08 tff(161,plain,
% 7.44/5.08 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(162,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[161])).
% 7.44/5.08 tff(163,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(164,plain,
% 7.44/5.08 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(165,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[164])).
% 7.44/5.08 tff(166,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_61')).
% 7.44/5.08 tff(167,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[166, 165])).
% 7.44/5.08 tff(168,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[167, 163])).
% 7.44/5.08 tff(169,plain,(
% 7.44/5.08 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[168])).
% 7.44/5.08 tff(170,plain,
% 7.44/5.08 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[169, 162])).
% 7.44/5.08 tff(171,plain,
% 7.44/5.08 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(172,plain,
% 7.44/5.08 (((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2))) <=> (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(173,plain,
% 7.44/5.08 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))))),
% 7.44/5.08 inference(monotonicity,[status(thm)],[172])).
% 7.44/5.08 tff(174,plain,
% 7.44/5.08 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 7.44/5.08 inference(transitivity,[status(thm)],[173, 171])).
% 7.44/5.08 tff(175,plain,
% 7.44/5.08 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(176,plain,
% 7.44/5.08 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[175, 174])).
% 7.44/5.08 tff(177,plain,
% 7.44/5.08 (~m_main_v_turn(s1, c_2)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[176, 170, 160, 146])).
% 7.44/5.08 tff(178,plain,
% 7.44/5.08 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(179,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[178])).
% 7.44/5.08 tff(180,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(181,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_45')).
% 7.44/5.08 tff(182,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[181, 180])).
% 7.44/5.08 tff(183,plain,(
% 7.44/5.08 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[182])).
% 7.44/5.08 tff(184,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[183, 179])).
% 7.44/5.08 tff(185,plain,
% 7.44/5.08 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(186,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(187,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[186, 185])).
% 7.44/5.08 tff(188,plain,
% 7.44/5.08 (~node12(s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 7.44/5.08 tff(189,plain,
% 7.44/5.08 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(190,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[189])).
% 7.44/5.08 tff(191,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_15')).
% 7.44/5.08 tff(193,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[192, 191])).
% 7.44/5.08 tff(194,plain,(
% 7.44/5.08 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[193])).
% 7.44/5.08 tff(195,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[194, 190])).
% 7.44/5.08 tff(196,plain,
% 7.44/5.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(197,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(198,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[197, 196])).
% 7.44/5.08 tff(199,plain,
% 7.44/5.08 (~node1(s0)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[198, 195, 96])).
% 7.44/5.08 tff(200,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(201,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[200])).
% 7.44/5.08 tff(202,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(203,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_34')).
% 7.44/5.08 tff(204,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[203, 202])).
% 7.44/5.08 tff(205,plain,(
% 7.44/5.08 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 7.44/5.08 inference(skolemize,[status(sab)],[204])).
% 7.44/5.08 tff(206,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[205, 201])).
% 7.44/5.08 tff(207,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(208,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(209,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[208, 207])).
% 7.44/5.08 tff(210,plain,
% 7.44/5.08 (node7(s0, s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[209, 206, 39])).
% 7.44/5.08 tff(211,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(212,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[211])).
% 7.44/5.08 tff(213,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(214,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(215,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[214])).
% 7.44/5.08 tff(216,axiom,(![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_28')).
% 7.44/5.08 tff(217,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[216, 215])).
% 7.44/5.08 tff(218,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[217, 213])).
% 7.44/5.08 tff(219,plain,(
% 7.44/5.08 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(skolemize,[status(sab)],[218])).
% 7.44/5.08 tff(220,plain,
% 7.44/5.08 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[219, 212])).
% 7.44/5.08 tff(221,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(222,plain,
% 7.44/5.08 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(223,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))))),
% 7.44/5.08 inference(monotonicity,[status(thm)],[222])).
% 7.44/5.08 tff(224,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 7.44/5.08 inference(transitivity,[status(thm)],[223, 221])).
% 7.44/5.08 tff(225,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(226,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[225, 224])).
% 7.44/5.08 tff(227,plain,
% 7.44/5.08 (m_main_v_state1(s1, c_t1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[226, 3, 63, 220, 210, 199])).
% 7.44/5.08 tff(228,plain,
% 7.44/5.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(229,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(230,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[229, 228])).
% 7.44/5.08 tff(231,plain,
% 7.44/5.08 (~m_main_v_state1(s1, c_n1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[230, 10, 227])).
% 7.44/5.08 tff(232,plain,
% 7.44/5.08 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(233,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[232])).
% 7.44/5.08 tff(234,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(235,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_42')).
% 7.44/5.08 tff(236,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[235, 234])).
% 7.44/5.08 tff(237,plain,(
% 7.44/5.08 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[236])).
% 7.44/5.08 tff(238,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[237, 233])).
% 7.44/5.08 tff(239,plain,
% 7.44/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(240,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(241,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[240, 239])).
% 7.44/5.08 tff(242,plain,
% 7.44/5.08 (~node11(s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[241, 238, 231])).
% 7.44/5.08 tff(243,plain,
% 7.44/5.08 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(244,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[243])).
% 7.44/5.08 tff(245,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(246,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_39')).
% 7.44/5.08 tff(247,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[246, 245])).
% 7.44/5.08 tff(248,plain,(
% 7.44/5.08 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[247])).
% 7.44/5.08 tff(249,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[248, 244])).
% 7.44/5.08 tff(250,plain,
% 7.44/5.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(251,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(252,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[251, 250])).
% 7.44/5.08 tff(253,plain,
% 7.44/5.08 (~node10(s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[252, 249, 81])).
% 7.44/5.08 tff(254,plain,
% 7.44/5.08 (^[X: $i] : refl(((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(255,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[254])).
% 7.44/5.08 tff(256,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(257,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 7.44/5.08 tff(258,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[257, 256])).
% 7.44/5.08 tff(259,plain,(
% 7.44/5.08 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[258])).
% 7.44/5.08 tff(260,plain,
% 7.44/5.08 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[259, 255])).
% 7.44/5.08 tff(261,plain,
% 7.44/5.08 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(262,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(263,plain,
% 7.44/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[262, 261])).
% 7.44/5.08 tff(264,plain,
% 7.44/5.08 (~m_main_v_state2(s1, c_c2)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[263, 260, 70])).
% 7.44/5.08 tff(265,plain,
% 7.44/5.08 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(266,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[265])).
% 7.44/5.08 tff(267,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(268,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_35')).
% 7.44/5.08 tff(269,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[268, 267])).
% 7.44/5.08 tff(270,plain,(
% 7.44/5.08 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 7.44/5.08 inference(skolemize,[status(sab)],[269])).
% 7.44/5.08 tff(271,plain,
% 7.44/5.08 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[270, 266])).
% 7.44/5.08 tff(272,plain,
% 7.44/5.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(273,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(274,plain,
% 7.44/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[273, 272])).
% 7.44/5.08 tff(275,plain,
% 7.44/5.08 (~node8(s1)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[274, 271, 81])).
% 7.44/5.08 tff(276,plain,
% 7.44/5.08 (succ(s1, s2) <=> succ(s1, s2)),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(277,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 7.44/5.08 tff(278,plain,
% 7.44/5.08 (succ(s1, s2)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[277, 276])).
% 7.44/5.08 tff(279,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(280,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(281,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[280, 279])).
% 7.44/5.08 tff(282,plain,
% 7.44/5.08 (trans(s1, s2)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[281, 278, 32])).
% 7.44/5.08 tff(283,plain,
% 7.44/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(284,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 7.44/5.08 inference(quant_inst,[status(thm)],[])).
% 7.44/5.08 tff(285,plain,
% 7.44/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 7.44/5.08 inference(modus_ponens,[status(thm)],[284, 283])).
% 7.44/5.08 tff(286,plain,
% 7.44/5.08 (node14(s1, s2)),
% 7.44/5.08 inference(unit_resolution,[status(thm)],[285, 46, 282])).
% 7.44/5.08 tff(287,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : refl((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))))),
% 7.44/5.08 inference(bind,[status(th)],[])).
% 7.44/5.08 tff(288,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.08 inference(quant_intro,[status(thm)],[287])).
% 7.44/5.08 tff(289,plain,
% 7.44/5.08 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.08 inference(rewrite,[status(thm)],[])).
% 7.44/5.08 tff(290,plain,
% 7.44/5.08 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(291,plain,
% 7.44/5.09 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[290])).
% 7.44/5.09 tff(292,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_54')).
% 7.44/5.09 tff(293,plain,
% 7.44/5.09 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[292, 291])).
% 7.44/5.09 tff(294,plain,
% 7.44/5.09 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[293, 289])).
% 7.44/5.09 tff(295,plain,(
% 7.44/5.09 ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[294])).
% 7.44/5.09 tff(296,plain,
% 7.44/5.09 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[295, 288])).
% 7.44/5.09 tff(297,plain,
% 7.44/5.09 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(298,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(299,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[298, 297])).
% 7.44/5.09 tff(300,plain,
% 7.44/5.09 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[299, 296, 286])).
% 7.44/5.09 tff(301,plain,
% 7.44/5.09 (node13(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[300, 275, 264, 253, 242, 188, 92])).
% 7.44/5.09 tff(302,plain,
% 7.44/5.09 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(303,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[302])).
% 7.44/5.09 tff(304,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(305,plain,
% 7.44/5.09 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(306,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[305])).
% 7.44/5.09 tff(307,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_47')).
% 7.44/5.09 tff(308,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[307, 306])).
% 7.44/5.09 tff(309,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[308, 304])).
% 7.44/5.09 tff(310,plain,(
% 7.44/5.09 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[309])).
% 7.44/5.09 tff(311,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[310, 303])).
% 7.44/5.09 tff(312,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(313,plain,
% 7.44/5.09 (((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2))) <=> (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(314,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))))),
% 7.44/5.09 inference(monotonicity,[status(thm)],[313])).
% 7.44/5.09 tff(315,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 7.44/5.09 inference(transitivity,[status(thm)],[314, 312])).
% 7.44/5.09 tff(316,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(317,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[316, 315])).
% 7.44/5.09 tff(318,plain,
% 7.44/5.09 (~m_main_v_state2(s2, c_n2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[317, 311, 81, 301])).
% 7.44/5.09 tff(319,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(320,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(321,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[320, 319])).
% 7.44/5.09 tff(322,plain,
% 7.44/5.09 (~node9(s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[321, 88, 318])).
% 7.44/5.09 tff(323,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(324,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[323])).
% 7.44/5.09 tff(325,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(326,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_58')).
% 7.44/5.09 tff(327,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[326, 325])).
% 7.44/5.09 tff(328,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[327])).
% 7.44/5.09 tff(329,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[328, 324])).
% 7.44/5.09 tff(330,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(331,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(332,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[331, 330])).
% 7.44/5.09 tff(333,plain,
% 7.44/5.09 (~node16(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[332, 329, 81])).
% 7.44/5.09 tff(334,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(335,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[334])).
% 7.44/5.09 tff(336,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(337,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_56')).
% 7.44/5.09 tff(338,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[337, 336])).
% 7.44/5.09 tff(339,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[338])).
% 7.44/5.09 tff(340,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[339, 335])).
% 7.44/5.09 tff(341,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(342,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(343,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[342, 341])).
% 7.44/5.09 tff(344,plain,
% 7.44/5.09 (~node15(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[343, 340, 231])).
% 7.44/5.09 tff(345,plain,
% 7.44/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(346,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(347,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[346, 345])).
% 7.44/5.09 tff(348,plain,
% 7.44/5.09 (node18(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[347, 125, 282])).
% 7.44/5.09 tff(349,plain,
% 7.44/5.09 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(350,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(351,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[350, 349])).
% 7.44/5.09 tff(352,plain,
% 7.44/5.09 (node15(s1) | node16(s1) | node17(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[351, 139, 348])).
% 7.44/5.09 tff(353,plain,
% 7.44/5.09 (node17(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[352, 344, 333])).
% 7.44/5.09 tff(354,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(355,plain,
% 7.44/5.09 (((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2))) <=> (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(356,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))))),
% 7.44/5.09 inference(monotonicity,[status(thm)],[355])).
% 7.44/5.09 tff(357,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 7.44/5.09 inference(transitivity,[status(thm)],[356, 354])).
% 7.44/5.09 tff(358,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(359,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[358, 357])).
% 7.44/5.09 tff(360,plain,
% 7.44/5.09 (~m_main_v_turn(s2, c_2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[359, 170, 353, 177])).
% 7.44/5.09 tff(361,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(362,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(363,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[362, 361])).
% 7.44/5.09 tff(364,plain,
% 7.44/5.09 (~node12(s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[363, 184, 360])).
% 7.44/5.09 tff(365,plain,
% 7.44/5.09 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(366,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[365])).
% 7.44/5.09 tff(367,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(368,plain,
% 7.44/5.09 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) <=> ((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> (((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))))), rewrite((((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(369,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[368])).
% 7.44/5.09 tff(370,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_60')).
% 7.44/5.09 tff(371,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[370, 369])).
% 7.44/5.09 tff(372,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[371, 367])).
% 7.44/5.09 tff(373,plain,(
% 7.44/5.09 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(skolemize,[status(sab)],[372])).
% 7.44/5.09 tff(374,plain,
% 7.44/5.09 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[373, 366])).
% 7.44/5.09 tff(375,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(376,plain,
% 7.44/5.09 (((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1)) <=> ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(377,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))))),
% 7.44/5.09 inference(monotonicity,[status(thm)],[376])).
% 7.44/5.09 tff(378,plain,
% 7.44/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 7.44/5.09 inference(transitivity,[status(thm)],[377, 375])).
% 7.44/5.09 tff(379,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(380,plain,
% 7.44/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[379, 378])).
% 7.44/5.09 tff(381,plain,
% 7.44/5.09 (m_main_v_turn(s1, c_1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[380, 149, 374, 146])).
% 7.44/5.09 tff(382,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(383,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[382])).
% 7.44/5.09 tff(384,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(385,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_21')).
% 7.44/5.09 tff(386,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[385, 384])).
% 7.44/5.09 tff(387,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[386])).
% 7.44/5.09 tff(388,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[387, 383])).
% 7.44/5.09 tff(389,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(390,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(391,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[390, 389])).
% 7.44/5.09 tff(392,plain,
% 7.44/5.09 (~node4(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[391, 388, 81])).
% 7.44/5.09 tff(393,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(394,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[393])).
% 7.44/5.09 tff(395,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(396,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_19')).
% 7.44/5.09 tff(397,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[396, 395])).
% 7.44/5.09 tff(398,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[397])).
% 7.44/5.09 tff(399,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[398, 394])).
% 7.44/5.09 tff(400,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(401,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(402,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[401, 400])).
% 7.44/5.09 tff(403,plain,
% 7.44/5.09 (~node3(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[402, 399, 264])).
% 7.44/5.09 tff(404,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(405,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[404])).
% 7.44/5.09 tff(406,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(407,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_17')).
% 7.44/5.09 tff(408,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[407, 406])).
% 7.44/5.09 tff(409,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[408])).
% 7.44/5.09 tff(410,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[409, 405])).
% 7.44/5.09 tff(411,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(412,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(413,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[412, 411])).
% 7.44/5.09 tff(414,plain,
% 7.44/5.09 (~node2(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[413, 410, 81])).
% 7.44/5.09 tff(415,plain,
% 7.44/5.09 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(416,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[415])).
% 7.44/5.09 tff(417,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(418,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_14')).
% 7.44/5.09 tff(419,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[418, 417])).
% 7.44/5.09 tff(420,plain,(
% 7.44/5.09 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 7.44/5.09 inference(skolemize,[status(sab)],[419])).
% 7.44/5.09 tff(421,plain,
% 7.44/5.09 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[420, 416])).
% 7.44/5.09 tff(422,plain,
% 7.44/5.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(423,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(424,plain,
% 7.44/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[423, 422])).
% 7.44/5.09 tff(425,plain,
% 7.44/5.09 (~node1(s1)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[424, 421, 231])).
% 7.44/5.09 tff(426,plain,
% 7.44/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(427,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 7.44/5.09 inference(quant_inst,[status(thm)],[])).
% 7.44/5.09 tff(428,plain,
% 7.44/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[427, 426])).
% 7.44/5.09 tff(429,plain,
% 7.44/5.09 (node7(s1, s2)),
% 7.44/5.09 inference(unit_resolution,[status(thm)],[428, 206, 282])).
% 7.44/5.09 tff(430,plain,
% 7.44/5.09 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(431,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[430])).
% 7.44/5.09 tff(432,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(rewrite,[status(thm)],[])).
% 7.44/5.09 tff(433,plain,
% 7.44/5.09 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 7.44/5.09 inference(bind,[status(th)],[])).
% 7.44/5.09 tff(434,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(quant_intro,[status(thm)],[433])).
% 7.44/5.09 tff(435,axiom,(![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_31')).
% 7.44/5.09 tff(436,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[435, 434])).
% 7.44/5.09 tff(437,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[436, 432])).
% 7.44/5.09 tff(438,plain,(
% 7.44/5.09 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(skolemize,[status(sab)],[437])).
% 7.44/5.09 tff(439,plain,
% 7.44/5.09 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.44/5.09 inference(modus_ponens,[status(thm)],[438, 431])).
% 7.44/5.09 tff(440,plain,
% 7.44/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(441,plain,
% 7.44/5.10 (((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1)) <=> ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(442,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))))),
% 7.44/5.10 inference(monotonicity,[status(thm)],[441])).
% 7.44/5.10 tff(443,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 7.44/5.10 inference(transitivity,[status(thm)],[442, 440])).
% 7.44/5.10 tff(444,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(445,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[444, 443])).
% 7.44/5.10 tff(446,plain,
% 7.44/5.10 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[445, 439, 429, 70, 227])).
% 7.44/5.10 tff(447,plain,
% 7.44/5.10 (m_main_v_state1(s2, c_c1)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[446, 425, 414, 403, 392, 381])).
% 7.44/5.10 tff(448,plain,
% 7.44/5.10 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(449,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[448])).
% 7.44/5.10 tff(450,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(451,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 7.44/5.10 tff(452,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[451, 450])).
% 7.44/5.10 tff(453,plain,(
% 7.44/5.10 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(skolemize,[status(sab)],[452])).
% 7.44/5.10 tff(454,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[453, 449])).
% 7.44/5.10 tff(455,plain,
% 7.44/5.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(456,plain,
% 7.44/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(457,plain,
% 7.44/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[456, 455])).
% 7.44/5.10 tff(458,plain,
% 7.44/5.10 (~m_main_v_state1(s2, c_n1)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[457, 454, 447])).
% 7.44/5.10 tff(459,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(460,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(461,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[460, 459])).
% 7.44/5.10 tff(462,plain,
% 7.44/5.10 (~node11(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[461, 238, 458])).
% 7.44/5.10 tff(463,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(464,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(465,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[464, 463])).
% 7.44/5.10 tff(466,plain,
% 7.44/5.10 (~node10(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[465, 249, 318])).
% 7.44/5.10 tff(467,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(468,plain,
% 7.44/5.10 (((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2))) <=> (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(469,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))))),
% 7.44/5.10 inference(monotonicity,[status(thm)],[468])).
% 7.44/5.10 tff(470,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 7.44/5.10 inference(transitivity,[status(thm)],[469, 467])).
% 7.44/5.10 tff(471,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(472,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[471, 470])).
% 7.44/5.10 tff(473,plain,
% 7.44/5.10 (~m_main_v_state2(s2, c_c2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[472, 311, 264, 301])).
% 7.44/5.10 tff(474,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(475,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(476,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[475, 474])).
% 7.44/5.10 tff(477,plain,
% 7.44/5.10 (~node8(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[476, 271, 318])).
% 7.44/5.10 tff(478,plain,
% 7.44/5.10 (succ(s2, s3) <=> succ(s2, s3)),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(479,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 7.44/5.10 tff(480,plain,
% 7.44/5.10 (succ(s2, s3)),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[479, 478])).
% 7.44/5.10 tff(481,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(482,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(483,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[482, 481])).
% 7.44/5.10 tff(484,plain,
% 7.44/5.10 (trans(s2, s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[483, 480, 32])).
% 7.44/5.10 tff(485,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(486,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(487,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[486, 485])).
% 7.44/5.10 tff(488,plain,
% 7.44/5.10 (node14(s2, s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[487, 46, 484])).
% 7.44/5.10 tff(489,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(490,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(491,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[490, 489])).
% 7.44/5.10 tff(492,plain,
% 7.44/5.10 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[491, 296, 488])).
% 7.44/5.10 tff(493,plain,
% 7.44/5.10 (node13(s2, s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[492, 477, 473, 466, 462, 364, 322])).
% 7.44/5.10 tff(494,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(495,plain,
% 7.44/5.10 (((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2))) <=> (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(496,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))))),
% 7.44/5.10 inference(monotonicity,[status(thm)],[495])).
% 7.44/5.10 tff(497,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 7.44/5.10 inference(transitivity,[status(thm)],[496, 494])).
% 7.44/5.10 tff(498,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(499,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[498, 497])).
% 7.44/5.10 tff(500,plain,
% 7.44/5.10 (~m_main_v_state2(s3, c_n2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[499, 311, 318, 493])).
% 7.44/5.10 tff(501,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(502,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(503,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[502, 501])).
% 7.44/5.10 tff(504,plain,
% 7.44/5.10 (~node9(s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[503, 88, 500])).
% 7.44/5.10 tff(505,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(506,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(507,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[506, 505])).
% 7.44/5.10 tff(508,plain,
% 7.44/5.10 (~node10(s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[507, 249, 500])).
% 7.44/5.10 tff(509,plain,
% 7.44/5.10 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(510,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[509])).
% 7.44/5.10 tff(511,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(512,plain,
% 7.44/5.10 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) <=> ((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> (((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))))), rewrite((((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(513,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[512])).
% 7.44/5.10 tff(514,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_46')).
% 7.44/5.10 tff(515,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[514, 513])).
% 7.44/5.10 tff(516,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[515, 511])).
% 7.44/5.10 tff(517,plain,(
% 7.44/5.10 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(skolemize,[status(sab)],[516])).
% 7.44/5.10 tff(518,plain,
% 7.44/5.10 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[517, 510])).
% 7.44/5.10 tff(519,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(520,plain,
% 7.44/5.10 (((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2)) <=> ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(521,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))))),
% 7.44/5.10 inference(monotonicity,[status(thm)],[520])).
% 7.44/5.10 tff(522,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 7.44/5.10 inference(transitivity,[status(thm)],[521, 519])).
% 7.44/5.10 tff(523,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(524,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[523, 522])).
% 7.44/5.10 tff(525,plain,
% 7.44/5.10 (m_main_v_state2(s2, c_t2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[524, 518, 70, 301])).
% 7.44/5.10 tff(526,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(527,plain,
% 7.44/5.10 (((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2)) <=> ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(528,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))))),
% 7.44/5.10 inference(monotonicity,[status(thm)],[527])).
% 7.44/5.10 tff(529,plain,
% 7.44/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 7.44/5.10 inference(transitivity,[status(thm)],[528, 526])).
% 7.44/5.10 tff(530,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(531,plain,
% 7.44/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[530, 529])).
% 7.44/5.10 tff(532,plain,
% 7.44/5.10 (m_main_v_state2(s3, c_t2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[531, 518, 525, 493])).
% 7.44/5.10 tff(533,plain,
% 7.44/5.10 (^[X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(534,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[533])).
% 7.44/5.10 tff(535,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(536,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 7.44/5.10 tff(537,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[536, 535])).
% 7.44/5.10 tff(538,plain,(
% 7.44/5.10 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(skolemize,[status(sab)],[537])).
% 7.44/5.10 tff(539,plain,
% 7.44/5.10 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[538, 534])).
% 7.44/5.10 tff(540,plain,
% 7.44/5.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(541,plain,
% 7.44/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(542,plain,
% 7.44/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[541, 540])).
% 7.44/5.10 tff(543,plain,
% 7.44/5.10 (~m_main_v_state1(s2, c_t1)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[542, 539, 447])).
% 7.44/5.10 tff(544,plain,
% 7.44/5.10 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(545,plain,
% 7.44/5.10 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[544])).
% 7.44/5.10 tff(546,plain,
% 7.44/5.10 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(547,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_22')).
% 7.44/5.10 tff(548,plain,
% 7.44/5.10 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[547, 546])).
% 7.44/5.10 tff(549,plain,(
% 7.44/5.10 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 7.44/5.10 inference(skolemize,[status(sab)],[548])).
% 7.44/5.10 tff(550,plain,
% 7.44/5.10 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[549, 545])).
% 7.44/5.10 tff(551,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(552,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(553,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[552, 551])).
% 7.44/5.10 tff(554,plain,
% 7.44/5.10 (~node5(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[553, 550, 543])).
% 7.44/5.10 tff(555,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(556,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(557,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[556, 555])).
% 7.44/5.10 tff(558,plain,
% 7.44/5.10 (~node4(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[557, 388, 318])).
% 7.44/5.10 tff(559,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(560,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(561,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[560, 559])).
% 7.44/5.10 tff(562,plain,
% 7.44/5.10 (~node3(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[561, 399, 473])).
% 7.44/5.10 tff(563,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(564,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(565,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[564, 563])).
% 7.44/5.10 tff(566,plain,
% 7.44/5.10 (~node2(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[565, 410, 318])).
% 7.44/5.10 tff(567,plain,
% 7.44/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(568,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(569,plain,
% 7.44/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[568, 567])).
% 7.44/5.10 tff(570,plain,
% 7.44/5.10 (~node1(s2)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[569, 421, 458])).
% 7.44/5.10 tff(571,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(572,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 7.44/5.10 inference(quant_inst,[status(thm)],[])).
% 7.44/5.10 tff(573,plain,
% 7.44/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[572, 571])).
% 7.44/5.10 tff(574,plain,
% 7.44/5.10 (node7(s2, s3)),
% 7.44/5.10 inference(unit_resolution,[status(thm)],[573, 206, 484])).
% 7.44/5.10 tff(575,plain,
% 7.44/5.10 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(576,plain,
% 7.44/5.10 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[575])).
% 7.44/5.10 tff(577,plain,
% 7.44/5.10 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(rewrite,[status(thm)],[])).
% 7.44/5.10 tff(578,plain,
% 7.44/5.10 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))))),
% 7.44/5.10 inference(bind,[status(th)],[])).
% 7.44/5.10 tff(579,plain,
% 7.44/5.10 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(quant_intro,[status(thm)],[578])).
% 7.44/5.10 tff(580,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_32')).
% 7.44/5.10 tff(581,plain,
% 7.44/5.10 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[580, 579])).
% 7.44/5.10 tff(582,plain,
% 7.44/5.10 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[581, 577])).
% 7.44/5.10 tff(583,plain,(
% 7.44/5.10 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(skolemize,[status(sab)],[582])).
% 7.44/5.10 tff(584,plain,
% 7.44/5.10 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 7.44/5.10 inference(modus_ponens,[status(thm)],[583, 576])).
% 7.44/5.10 tff(585,plain,
% 7.44/5.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(586,plain,
% 7.44/5.11 (((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1)) <=> (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(587,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))))),
% 7.44/5.11 inference(monotonicity,[status(thm)],[586])).
% 7.44/5.11 tff(588,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 7.44/5.11 inference(transitivity,[status(thm)],[587, 585])).
% 7.44/5.11 tff(589,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(590,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[589, 588])).
% 7.44/5.11 tff(591,plain,
% 7.44/5.11 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[590, 584, 574])).
% 7.44/5.11 tff(592,plain,
% 7.44/5.11 (m_main_v_state1(s3, c_n1)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[591, 570, 447, 566, 562, 558, 554])).
% 7.44/5.11 tff(593,plain,
% 7.44/5.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(594,plain,
% 7.44/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(595,plain,
% 7.44/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[594, 593])).
% 7.44/5.11 tff(596,plain,
% 7.44/5.11 (~node8(s3)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[595, 271, 500])).
% 7.44/5.11 tff(597,plain,
% 7.44/5.11 (succ(s3, s4) <=> succ(s3, s4)),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(598,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 7.44/5.11 tff(599,plain,
% 7.44/5.11 (succ(s3, s4)),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[598, 597])).
% 7.44/5.11 tff(600,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(601,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(602,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[601, 600])).
% 7.44/5.11 tff(603,plain,
% 7.44/5.11 (trans(s3, s4)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[602, 599, 32])).
% 7.44/5.11 tff(604,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(605,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(606,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[605, 604])).
% 7.44/5.11 tff(607,plain,
% 7.44/5.11 (node14(s3, s4)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[606, 46, 603])).
% 7.44/5.11 tff(608,plain,
% 7.44/5.11 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)))),
% 7.44/5.11 inference(bind,[status(th)],[])).
% 7.44/5.11 tff(609,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(quant_intro,[status(thm)],[608])).
% 7.44/5.11 tff(610,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(611,plain,
% 7.44/5.11 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))))), rewrite(((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> (((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))))), rewrite((((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))))),
% 7.44/5.11 inference(bind,[status(th)],[])).
% 7.44/5.11 tff(612,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(quant_intro,[status(thm)],[611])).
% 7.44/5.11 tff(613,axiom,(![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_51')).
% 7.44/5.11 tff(614,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[613, 612])).
% 7.44/5.11 tff(615,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[614, 610])).
% 7.44/5.11 tff(616,plain,(
% 7.44/5.11 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(skolemize,[status(sab)],[615])).
% 7.44/5.11 tff(617,plain,
% 7.44/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[616, 609])).
% 7.44/5.11 tff(618,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(619,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(620,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2)),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[619, 618])).
% 7.44/5.11 tff(621,plain,
% 7.44/5.11 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | m_main_v_state2(s4, c_c2)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[620, 617, 607])).
% 7.44/5.11 tff(622,plain,
% 7.44/5.11 (m_main_v_state2(s4, c_c2)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[621, 596, 592, 532, 508, 504])).
% 7.44/5.11 tff(623,plain,
% 7.44/5.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(624,plain,
% 7.44/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(625,plain,
% 7.44/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[624, 623])).
% 7.44/5.11 tff(626,plain,
% 7.44/5.11 (~m_main_v_state2(s4, c_t2)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[625, 260, 622])).
% 7.44/5.11 tff(627,plain,
% 7.44/5.11 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 7.44/5.11 inference(bind,[status(th)],[])).
% 7.44/5.11 tff(628,plain,
% 7.44/5.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 7.44/5.11 inference(quant_intro,[status(thm)],[627])).
% 7.44/5.11 tff(629,plain,
% 7.44/5.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(630,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_43')).
% 7.44/5.11 tff(631,plain,
% 7.44/5.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[630, 629])).
% 7.44/5.11 tff(632,plain,(
% 7.44/5.11 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 7.44/5.11 inference(skolemize,[status(sab)],[631])).
% 7.44/5.11 tff(633,plain,
% 7.44/5.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[632, 628])).
% 7.44/5.11 tff(634,plain,
% 7.44/5.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(635,plain,
% 7.44/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(636,plain,
% 7.44/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[635, 634])).
% 7.44/5.11 tff(637,plain,
% 7.44/5.11 (~node12(s4)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[636, 633, 626])).
% 7.44/5.11 tff(638,plain,
% 7.44/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4))),
% 7.44/5.11 inference(rewrite,[status(thm)],[])).
% 7.44/5.11 tff(639,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 7.44/5.11 inference(quant_inst,[status(thm)],[])).
% 7.44/5.11 tff(640,plain,
% 7.44/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 7.44/5.11 inference(modus_ponens,[status(thm)],[639, 638])).
% 7.44/5.11 tff(641,plain,
% 7.44/5.11 (node7(s3, s4)),
% 7.44/5.11 inference(unit_resolution,[status(thm)],[640, 206, 603])).
% 7.44/5.11 tff(642,plain,
% 7.44/5.11 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(643,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[642])).
% 7.49/5.11 tff(644,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(645,plain,
% 7.49/5.11 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(646,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[645])).
% 7.49/5.11 tff(647,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_27')).
% 7.49/5.11 tff(648,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[647, 646])).
% 7.49/5.11 tff(649,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[648, 644])).
% 7.49/5.11 tff(650,plain,(
% 7.49/5.11 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(skolemize,[status(sab)],[649])).
% 7.49/5.11 tff(651,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[650, 643])).
% 7.49/5.11 tff(652,plain,
% 7.49/5.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(653,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(654,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[653, 652])).
% 7.49/5.11 tff(655,plain,
% 7.49/5.11 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 7.49/5.11 tff(656,plain,
% 7.49/5.11 (m_main_v_state1(s4, c_t1)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[655, 532, 592])).
% 7.49/5.11 tff(657,plain,
% 7.49/5.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(658,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(659,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[658, 657])).
% 7.49/5.11 tff(660,plain,
% 7.49/5.11 (~m_main_v_state1(s4, c_n1)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[659, 10, 656])).
% 7.49/5.11 tff(661,plain,
% 7.49/5.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(662,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(663,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[662, 661])).
% 7.49/5.11 tff(664,plain,
% 7.49/5.11 (~node11(s4)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[663, 238, 660])).
% 7.49/5.11 tff(665,plain,
% 7.49/5.11 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(666,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(667,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[666, 665])).
% 7.49/5.11 tff(668,plain,
% 7.49/5.11 (~m_main_v_state1(s4, c_c1)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[667, 539, 656])).
% 7.49/5.11 tff(669,plain,
% 7.49/5.11 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(670,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[669])).
% 7.49/5.11 tff(671,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(672,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_40')).
% 7.49/5.11 tff(673,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[672, 671])).
% 7.49/5.11 tff(674,plain,(
% 7.49/5.11 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 7.49/5.11 inference(skolemize,[status(sab)],[673])).
% 7.49/5.11 tff(675,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[674, 670])).
% 7.49/5.11 tff(676,plain,
% 7.49/5.11 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(677,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(678,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[677, 676])).
% 7.49/5.11 tff(679,plain,
% 7.49/5.11 (~node10(s4)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[678, 675, 668])).
% 7.49/5.11 tff(680,plain,
% 7.49/5.11 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(681,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[680])).
% 7.49/5.11 tff(682,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(683,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_38')).
% 7.49/5.11 tff(684,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[683, 682])).
% 7.49/5.11 tff(685,plain,(
% 7.49/5.11 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 7.49/5.11 inference(skolemize,[status(sab)],[684])).
% 7.49/5.11 tff(686,plain,
% 7.49/5.11 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[685, 681])).
% 7.49/5.11 tff(687,plain,
% 7.49/5.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(688,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(689,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[688, 687])).
% 7.49/5.11 tff(690,plain,
% 7.49/5.11 (~node9(s4)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[689, 686, 660])).
% 7.49/5.11 tff(691,plain,
% 7.49/5.11 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(692,plain,
% 7.49/5.11 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[691])).
% 7.49/5.11 tff(693,plain,
% 7.49/5.11 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(694,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 7.49/5.11 tff(695,plain,
% 7.49/5.11 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[694, 693])).
% 7.49/5.11 tff(696,plain,(
% 7.49/5.11 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 7.49/5.11 inference(skolemize,[status(sab)],[695])).
% 7.49/5.11 tff(697,plain,
% 7.49/5.11 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[696, 692])).
% 7.49/5.11 tff(698,plain,
% 7.49/5.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(699,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(700,plain,
% 7.49/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[699, 698])).
% 7.49/5.11 tff(701,plain,
% 7.49/5.11 (~m_main_v_state2(s4, c_n2)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[700, 697, 622])).
% 7.49/5.11 tff(702,plain,
% 7.49/5.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(703,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(704,plain,
% 7.49/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[703, 702])).
% 7.49/5.11 tff(705,plain,
% 7.49/5.11 (~node8(s4)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[704, 271, 701])).
% 7.49/5.11 tff(706,plain,
% 7.49/5.11 (succ(s4, s5) <=> succ(s4, s5)),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(707,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 7.49/5.11 tff(708,plain,
% 7.49/5.11 (succ(s4, s5)),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[707, 706])).
% 7.49/5.11 tff(709,plain,
% 7.49/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(710,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(711,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[710, 709])).
% 7.49/5.11 tff(712,plain,
% 7.49/5.11 (trans(s4, s5)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[711, 708, 32])).
% 7.49/5.11 tff(713,plain,
% 7.49/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(714,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 7.49/5.11 inference(quant_inst,[status(thm)],[])).
% 7.49/5.11 tff(715,plain,
% 7.49/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 7.49/5.11 inference(modus_ponens,[status(thm)],[714, 713])).
% 7.49/5.11 tff(716,plain,
% 7.49/5.11 (node14(s4, s5)),
% 7.49/5.11 inference(unit_resolution,[status(thm)],[715, 46, 712])).
% 7.49/5.11 tff(717,plain,
% 7.49/5.11 (^[Y: $i, X: $i] : refl(((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)))),
% 7.49/5.11 inference(bind,[status(th)],[])).
% 7.49/5.11 tff(718,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.11 inference(quant_intro,[status(thm)],[717])).
% 7.49/5.11 tff(719,plain,
% 7.49/5.11 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.11 inference(rewrite,[status(thm)],[])).
% 7.49/5.11 tff(720,plain,
% 7.49/5.11 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(721,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[720])).
% 7.49/5.12 tff(722,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_53')).
% 7.49/5.12 tff(723,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[722, 721])).
% 7.49/5.12 tff(724,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[723, 719])).
% 7.49/5.12 tff(725,plain,(
% 7.49/5.12 ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.12 inference(skolemize,[status(sab)],[724])).
% 7.49/5.12 tff(726,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[725, 718])).
% 7.49/5.12 tff(727,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(728,plain,
% 7.49/5.12 (((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2)) <=> (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(729,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))))),
% 7.49/5.12 inference(monotonicity,[status(thm)],[728])).
% 7.49/5.12 tff(730,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 7.49/5.12 inference(transitivity,[status(thm)],[729, 727])).
% 7.49/5.12 tff(731,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(732,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[731, 730])).
% 7.49/5.12 tff(733,plain,
% 7.49/5.12 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[732, 726, 716])).
% 7.49/5.12 tff(734,plain,
% 7.49/5.12 (m_main_v_state2(s5, c_n2)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[733, 705, 622, 690, 679, 664, 637])).
% 7.49/5.12 tff(735,plain,
% 7.49/5.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(736,plain,
% 7.49/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(737,plain,
% 7.49/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[736, 735])).
% 7.49/5.12 tff(738,plain,
% 7.49/5.12 (~m_main_v_state2(s5, c_c2)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[737, 697, 734])).
% 7.49/5.12 tff(739,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(740,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(741,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[740, 739])).
% 7.49/5.12 tff(742,plain,
% 7.49/5.12 (~node3(s5)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[741, 399, 738])).
% 7.49/5.12 tff(743,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(744,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(745,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[744, 743])).
% 7.49/5.12 tff(746,plain,
% 7.49/5.12 (~node1(s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[745, 421, 660])).
% 7.49/5.12 tff(747,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(748,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(749,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[748, 747])).
% 7.49/5.12 tff(750,plain,
% 7.49/5.12 (node18(s3, s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[749, 125, 603])).
% 7.49/5.12 tff(751,plain,
% 7.49/5.12 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(752,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[751])).
% 7.49/5.12 tff(753,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(754,plain,
% 7.49/5.12 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(755,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[754])).
% 7.49/5.12 tff(756,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_62')).
% 7.49/5.12 tff(757,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[756, 755])).
% 7.49/5.12 tff(758,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[757, 753])).
% 7.49/5.12 tff(759,plain,(
% 7.49/5.12 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(skolemize,[status(sab)],[758])).
% 7.49/5.12 tff(760,plain,
% 7.49/5.12 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[759, 752])).
% 7.49/5.12 tff(761,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(762,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(763,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[762, 761])).
% 7.49/5.12 tff(764,plain,
% 7.49/5.12 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[763, 760, 750])).
% 7.49/5.12 tff(765,plain,
% 7.49/5.12 (m_main_v_turn(s4, c_2)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[764, 532, 592])).
% 7.49/5.12 tff(766,plain,
% 7.49/5.12 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(767,plain,
% 7.49/5.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(768,plain,
% 7.49/5.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[767, 766])).
% 7.49/5.12 tff(769,plain,
% 7.49/5.12 (~m_main_v_turn(s4, c_1)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[768, 156, 765])).
% 7.49/5.12 tff(770,plain,
% 7.49/5.12 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(771,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[770])).
% 7.49/5.12 tff(772,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(773,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_24')).
% 7.49/5.12 tff(774,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[773, 772])).
% 7.49/5.12 tff(775,plain,(
% 7.49/5.12 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 7.49/5.12 inference(skolemize,[status(sab)],[774])).
% 7.49/5.12 tff(776,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[775, 771])).
% 7.49/5.12 tff(777,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(778,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(779,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[778, 777])).
% 7.49/5.12 tff(780,plain,
% 7.49/5.12 (~node5(s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[779, 776, 769])).
% 7.49/5.12 tff(781,plain,
% 7.49/5.12 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(782,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[781])).
% 7.49/5.12 tff(783,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(784,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_16')).
% 7.49/5.12 tff(785,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[784, 783])).
% 7.49/5.12 tff(786,plain,(
% 7.49/5.12 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 7.49/5.12 inference(skolemize,[status(sab)],[785])).
% 7.49/5.12 tff(787,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[786, 782])).
% 7.49/5.12 tff(788,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(789,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(790,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[789, 788])).
% 7.49/5.12 tff(791,plain,
% 7.49/5.12 (~node2(s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[790, 787, 660])).
% 7.49/5.12 tff(792,plain,
% 7.49/5.12 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(793,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[792])).
% 7.49/5.12 tff(794,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(795,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_18')).
% 7.49/5.12 tff(796,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[795, 794])).
% 7.49/5.12 tff(797,plain,(
% 7.49/5.12 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 7.49/5.12 inference(skolemize,[status(sab)],[796])).
% 7.49/5.12 tff(798,plain,
% 7.49/5.12 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[797, 793])).
% 7.49/5.12 tff(799,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(800,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(801,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[800, 799])).
% 7.49/5.12 tff(802,plain,
% 7.49/5.12 (~node3(s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[801, 798, 660])).
% 7.49/5.12 tff(803,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(804,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(805,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[804, 803])).
% 7.49/5.12 tff(806,plain,
% 7.49/5.12 (~node4(s4)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[805, 388, 701])).
% 7.49/5.12 tff(807,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(808,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(809,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[808, 807])).
% 7.49/5.12 tff(810,plain,
% 7.49/5.12 (node7(s4, s5)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[809, 206, 712])).
% 7.49/5.12 tff(811,plain,
% 7.49/5.12 (^[Y: $i, X: $i] : refl((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(812,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[811])).
% 7.49/5.12 tff(813,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(814,plain,
% 7.49/5.12 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(815,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[814])).
% 7.49/5.12 tff(816,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_33')).
% 7.49/5.12 tff(817,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[816, 815])).
% 7.49/5.12 tff(818,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[817, 813])).
% 7.49/5.12 tff(819,plain,(
% 7.49/5.12 ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(skolemize,[status(sab)],[818])).
% 7.49/5.12 tff(820,plain,
% 7.49/5.12 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[819, 812])).
% 7.49/5.12 tff(821,plain,
% 7.49/5.12 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(822,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(823,plain,
% 7.49/5.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[822, 821])).
% 7.49/5.12 tff(824,plain,
% 7.49/5.12 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[823, 820, 810])).
% 7.49/5.12 tff(825,plain,
% 7.49/5.12 (node6(s4, s5)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[824, 806, 668, 802, 791, 780, 746])).
% 7.49/5.12 tff(826,plain,
% 7.49/5.12 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(827,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[826])).
% 7.49/5.12 tff(828,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(829,plain,
% 7.49/5.12 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(830,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[829])).
% 7.49/5.12 tff(831,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_26')).
% 7.49/5.12 tff(832,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[831, 830])).
% 7.49/5.12 tff(833,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[832, 828])).
% 7.49/5.12 tff(834,plain,(
% 7.49/5.12 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(skolemize,[status(sab)],[833])).
% 7.49/5.12 tff(835,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[834, 827])).
% 7.49/5.12 tff(836,plain,
% 7.49/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(837,plain,
% 7.49/5.12 (((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1))) <=> (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(838,plain,
% 7.49/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))))),
% 7.49/5.12 inference(monotonicity,[status(thm)],[837])).
% 7.49/5.12 tff(839,plain,
% 7.49/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 7.49/5.12 inference(transitivity,[status(thm)],[838, 836])).
% 7.49/5.12 tff(840,plain,
% 7.49/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(841,plain,
% 7.49/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[840, 839])).
% 7.49/5.12 tff(842,plain,
% 7.49/5.12 (~m_main_v_state1(s5, c_n1)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[841, 835, 660, 825])).
% 7.49/5.12 tff(843,plain,
% 7.49/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(844,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 7.49/5.12 inference(quant_inst,[status(thm)],[])).
% 7.49/5.12 tff(845,plain,
% 7.49/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[844, 843])).
% 7.49/5.12 tff(846,plain,
% 7.49/5.12 (~node2(s5)),
% 7.49/5.12 inference(unit_resolution,[status(thm)],[845, 787, 842])).
% 7.49/5.12 tff(847,plain,
% 7.49/5.12 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(848,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[847])).
% 7.49/5.12 tff(849,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(rewrite,[status(thm)],[])).
% 7.49/5.12 tff(850,plain,
% 7.49/5.12 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) <=> ((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> (((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))))), rewrite((((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))))),
% 7.49/5.12 inference(bind,[status(th)],[])).
% 7.49/5.12 tff(851,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(quant_intro,[status(thm)],[850])).
% 7.49/5.12 tff(852,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_25')).
% 7.49/5.12 tff(853,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[852, 851])).
% 7.49/5.12 tff(854,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(modus_ponens,[status(thm)],[853, 849])).
% 7.49/5.12 tff(855,plain,(
% 7.49/5.12 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.12 inference(skolemize,[status(sab)],[854])).
% 7.49/5.12 tff(856,plain,
% 7.49/5.12 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[855, 848])).
% 7.49/5.13 tff(857,plain,
% 7.49/5.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(858,plain,
% 7.49/5.13 (((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1)) <=> ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(859,plain,
% 7.49/5.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))))),
% 7.49/5.13 inference(monotonicity,[status(thm)],[858])).
% 7.49/5.13 tff(860,plain,
% 7.49/5.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 7.49/5.13 inference(transitivity,[status(thm)],[859, 857])).
% 7.49/5.13 tff(861,plain,
% 7.49/5.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(862,plain,
% 7.49/5.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[861, 860])).
% 7.49/5.13 tff(863,plain,
% 7.49/5.13 (m_main_v_state1(s5, c_t1)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[862, 856, 656, 825])).
% 7.49/5.13 tff(864,plain,
% 7.49/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(865,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(866,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[865, 864])).
% 7.49/5.13 tff(867,plain,
% 7.49/5.13 (~m_main_v_state2(s5, c_t2)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[866, 77, 734])).
% 7.49/5.13 tff(868,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(869,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(870,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[869, 868])).
% 7.49/5.13 tff(871,plain,
% 7.49/5.13 (~node1(s5)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[870, 195, 867])).
% 7.49/5.13 tff(872,plain,
% 7.49/5.13 (succ(s5, s6) <=> succ(s5, s6)),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(873,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 7.49/5.13 tff(874,plain,
% 7.49/5.13 (succ(s5, s6)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[873, 872])).
% 7.49/5.13 tff(875,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(876,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(877,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[876, 875])).
% 7.49/5.13 tff(878,plain,
% 7.49/5.13 (trans(s5, s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[877, 874, 32])).
% 7.49/5.13 tff(879,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(880,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(881,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[880, 879])).
% 7.49/5.13 tff(882,plain,
% 7.49/5.13 (node7(s5, s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[881, 206, 878])).
% 7.49/5.13 tff(883,plain,
% 7.49/5.13 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 7.49/5.13 inference(bind,[status(th)],[])).
% 7.49/5.13 tff(884,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(quant_intro,[status(thm)],[883])).
% 7.49/5.13 tff(885,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(886,plain,
% 7.49/5.13 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 7.49/5.13 inference(bind,[status(th)],[])).
% 7.49/5.13 tff(887,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(quant_intro,[status(thm)],[886])).
% 7.49/5.13 tff(888,axiom,(![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_30')).
% 7.49/5.13 tff(889,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[888, 887])).
% 7.49/5.13 tff(890,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[889, 885])).
% 7.49/5.13 tff(891,plain,(
% 7.49/5.13 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(skolemize,[status(sab)],[890])).
% 7.49/5.13 tff(892,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[891, 884])).
% 7.49/5.13 tff(893,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(894,plain,
% 7.49/5.13 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1)) <=> ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(895,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))))),
% 7.49/5.13 inference(monotonicity,[status(thm)],[894])).
% 7.49/5.13 tff(896,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 7.49/5.13 inference(transitivity,[status(thm)],[895, 893])).
% 7.49/5.13 tff(897,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(898,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[897, 896])).
% 7.49/5.13 tff(899,plain,
% 7.49/5.13 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[898, 892, 882])).
% 7.49/5.13 tff(900,plain,
% 7.49/5.13 (m_main_v_state1(s6, c_c1)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[899, 871, 734, 863, 846, 742])).
% 7.49/5.13 tff(901,plain,
% 7.49/5.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(902,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(903,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[902, 901])).
% 7.49/5.13 tff(904,plain,
% 7.49/5.13 (~m_main_v_state1(s6, c_t1)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[903, 539, 900])).
% 7.49/5.13 tff(905,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(906,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(907,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[906, 905])).
% 7.49/5.13 tff(908,plain,
% 7.49/5.13 (~node5(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[907, 550, 904])).
% 7.49/5.13 tff(909,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(910,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(911,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[910, 909])).
% 7.49/5.13 tff(912,plain,
% 7.49/5.13 (node14(s5, s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[911, 46, 878])).
% 7.49/5.13 tff(913,plain,
% 7.49/5.13 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 7.49/5.13 inference(bind,[status(th)],[])).
% 7.49/5.13 tff(914,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(quant_intro,[status(thm)],[913])).
% 7.49/5.13 tff(915,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(916,plain,
% 7.49/5.13 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 7.49/5.13 inference(bind,[status(th)],[])).
% 7.49/5.13 tff(917,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(quant_intro,[status(thm)],[916])).
% 7.49/5.13 tff(918,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_48')).
% 7.49/5.13 tff(919,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[918, 917])).
% 7.49/5.13 tff(920,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[919, 915])).
% 7.49/5.13 tff(921,plain,(
% 7.49/5.13 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(skolemize,[status(sab)],[920])).
% 7.49/5.13 tff(922,plain,
% 7.49/5.13 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[921, 914])).
% 7.49/5.13 tff(923,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(924,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(925,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[924, 923])).
% 7.49/5.13 tff(926,plain,
% 7.49/5.13 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[925, 922, 912])).
% 7.49/5.13 tff(927,plain,
% 7.49/5.13 (m_main_v_state2(s6, c_t2)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[926, 863, 734])).
% 7.49/5.13 tff(928,plain,
% 7.49/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(929,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(930,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[929, 928])).
% 7.49/5.13 tff(931,plain,
% 7.49/5.13 (~m_main_v_state2(s6, c_n2)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[930, 77, 927])).
% 7.49/5.13 tff(932,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(933,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(934,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[933, 932])).
% 7.49/5.13 tff(935,plain,
% 7.49/5.13 (~node4(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[934, 388, 931])).
% 7.49/5.13 tff(936,plain,
% 7.49/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(937,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(938,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[937, 936])).
% 7.49/5.13 tff(939,plain,
% 7.49/5.13 (~m_main_v_state2(s6, c_c2)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[938, 260, 927])).
% 7.49/5.13 tff(940,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(941,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(942,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[941, 940])).
% 7.49/5.13 tff(943,plain,
% 7.49/5.13 (~node3(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[942, 399, 939])).
% 7.49/5.13 tff(944,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(945,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(946,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[945, 944])).
% 7.49/5.13 tff(947,plain,
% 7.49/5.13 (~node2(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[946, 410, 931])).
% 7.49/5.13 tff(948,plain,
% 7.49/5.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(949,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(950,plain,
% 7.49/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[949, 948])).
% 7.49/5.13 tff(951,plain,
% 7.49/5.13 (~m_main_v_state1(s6, c_n1)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[950, 454, 900])).
% 7.49/5.13 tff(952,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(953,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(954,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[953, 952])).
% 7.49/5.13 tff(955,plain,
% 7.49/5.13 (~node1(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[954, 421, 951])).
% 7.49/5.13 tff(956,plain,
% 7.49/5.13 (succ(s6, s7) <=> succ(s6, s7)),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(957,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 7.49/5.13 tff(958,plain,
% 7.49/5.13 (succ(s6, s7)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[957, 956])).
% 7.49/5.13 tff(959,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(960,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(961,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[960, 959])).
% 7.49/5.13 tff(962,plain,
% 7.49/5.13 (trans(s6, s7)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[961, 958, 32])).
% 7.49/5.13 tff(963,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(964,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(965,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[964, 963])).
% 7.49/5.13 tff(966,plain,
% 7.49/5.13 (node7(s6, s7)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[965, 206, 962])).
% 7.49/5.13 tff(967,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(968,plain,
% 7.49/5.13 (((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1)) <=> (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(969,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))))),
% 7.49/5.13 inference(monotonicity,[status(thm)],[968])).
% 7.49/5.13 tff(970,plain,
% 7.49/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 7.49/5.13 inference(transitivity,[status(thm)],[969, 967])).
% 7.49/5.13 tff(971,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 7.49/5.13 inference(quant_inst,[status(thm)],[])).
% 7.49/5.13 tff(972,plain,
% 7.49/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 7.49/5.13 inference(modus_ponens,[status(thm)],[971, 970])).
% 7.49/5.13 tff(973,plain,
% 7.49/5.13 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[972, 584, 966])).
% 7.49/5.13 tff(974,plain,
% 7.49/5.13 (m_main_v_state1(s7, c_n1)),
% 7.49/5.13 inference(unit_resolution,[status(thm)],[973, 955, 900, 947, 943, 935, 908])).
% 7.49/5.13 tff(975,plain,
% 7.49/5.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 7.49/5.13 inference(rewrite,[status(thm)],[])).
% 7.49/5.13 tff(976,plain,
% 7.49/5.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(977,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[976, 975])).
% 7.49/5.14 tff(978,plain,
% 7.49/5.14 (~node15(s5)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[977, 103, 867])).
% 7.49/5.14 tff(979,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(980,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(981,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[980, 979])).
% 7.49/5.14 tff(982,plain,
% 7.49/5.14 (node18(s5, s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[981, 125, 878])).
% 7.49/5.14 tff(983,plain,
% 7.49/5.14 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)))),
% 7.49/5.14 inference(bind,[status(th)],[])).
% 7.49/5.14 tff(984,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(quant_intro,[status(thm)],[983])).
% 7.49/5.14 tff(985,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(986,plain,
% 7.49/5.14 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))))),
% 7.49/5.14 inference(bind,[status(th)],[])).
% 7.49/5.14 tff(987,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(quant_intro,[status(thm)],[986])).
% 7.49/5.14 tff(988,axiom,(![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_63')).
% 7.49/5.14 tff(989,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[988, 987])).
% 7.49/5.14 tff(990,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[989, 985])).
% 7.49/5.14 tff(991,plain,(
% 7.49/5.14 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(skolemize,[status(sab)],[990])).
% 7.49/5.14 tff(992,plain,
% 7.49/5.14 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[991, 984])).
% 7.49/5.14 tff(993,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(994,plain,
% 7.49/5.14 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1)) <=> (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(995,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)))),
% 7.49/5.14 inference(monotonicity,[status(thm)],[994])).
% 7.49/5.14 tff(996,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 7.49/5.14 inference(transitivity,[status(thm)],[995, 993])).
% 7.49/5.14 tff(997,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(998,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[997, 996])).
% 7.49/5.14 tff(999,plain,
% 7.49/5.14 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[998, 992, 982])).
% 7.49/5.14 tff(1000,plain,
% 7.49/5.14 (m_main_v_turn(s6, c_1)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[999, 978, 734, 863])).
% 7.49/5.14 tff(1001,plain,
% 7.49/5.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1002,plain,
% 7.49/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1003,plain,
% 7.49/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 7.49/5.14 tff(1004,plain,
% 7.49/5.14 (~m_main_v_turn(s6, c_2)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1003, 156, 1000])).
% 7.49/5.14 tff(1005,plain,
% 7.49/5.14 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1006,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1007,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 7.49/5.14 tff(1008,plain,
% 7.49/5.14 (~node12(s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1007, 184, 1004])).
% 7.49/5.14 tff(1009,plain,
% 7.49/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1010,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1011,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 7.49/5.14 tff(1012,plain,
% 7.49/5.14 (~node8(s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1011, 271, 931])).
% 7.49/5.14 tff(1013,plain,
% 7.49/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1014,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1015,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 7.49/5.14 tff(1016,plain,
% 7.49/5.14 (~node9(s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1015, 88, 931])).
% 7.49/5.14 tff(1017,plain,
% 7.49/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1018,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1019,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 7.49/5.14 tff(1020,plain,
% 7.49/5.14 (~node10(s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1019, 249, 931])).
% 7.49/5.14 tff(1021,plain,
% 7.49/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1022,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1023,plain,
% 7.49/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 7.49/5.14 tff(1024,plain,
% 7.49/5.14 (~node11(s6)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1023, 238, 951])).
% 7.49/5.14 tff(1025,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1026,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1027,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 7.49/5.14 tff(1028,plain,
% 7.49/5.14 (node14(s6, s7)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1027, 46, 962])).
% 7.49/5.14 tff(1029,plain,
% 7.49/5.14 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1030,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 7.49/5.14 inference(quant_inst,[status(thm)],[])).
% 7.49/5.14 tff(1031,plain,
% 7.49/5.14 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 7.49/5.14 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 7.49/5.14 tff(1032,plain,
% 7.49/5.14 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1031, 296, 1028])).
% 7.49/5.14 tff(1033,plain,
% 7.49/5.14 (node13(s6, s7)),
% 7.49/5.14 inference(unit_resolution,[status(thm)],[1032, 1024, 939, 1020, 1016, 1012, 1008])).
% 7.49/5.14 tff(1034,plain,
% 7.49/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1035,plain,
% 7.49/5.14 (((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2)) <=> ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 7.49/5.14 inference(rewrite,[status(thm)],[])).
% 7.49/5.14 tff(1036,plain,
% 7.49/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))))),
% 7.49/5.14 inference(monotonicity,[status(thm)],[1035])).
% 7.49/5.14 tff(1037,plain,
% 7.49/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 7.49/5.14 inference(transitivity,[status(thm)],[1036, 1034])).
% 7.49/5.14 tff(1038,plain,
% 7.49/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1039,plain,
% 7.52/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 7.52/5.14 tff(1040,plain,
% 7.52/5.14 (m_main_v_state2(s7, c_t2)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1039, 518, 927, 1033])).
% 7.52/5.14 tff(1041,plain,
% 7.52/5.14 (succ(s7, s8) <=> succ(s7, s8)),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1042,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 7.52/5.14 tff(1043,plain,
% 7.52/5.14 (succ(s7, s8)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 7.52/5.14 tff(1044,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1045,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1046,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 7.52/5.14 tff(1047,plain,
% 7.52/5.14 (trans(s7, s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1046, 1043, 32])).
% 7.52/5.14 tff(1048,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1049,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1050,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 7.52/5.14 tff(1051,plain,
% 7.52/5.14 (node7(s7, s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1050, 206, 1047])).
% 7.52/5.14 tff(1052,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1053,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1054,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 7.52/5.14 tff(1055,plain,
% 7.52/5.14 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1054, 651, 1051])).
% 7.52/5.14 tff(1056,plain,
% 7.52/5.14 (m_main_v_state1(s8, c_t1)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1055, 1040, 974])).
% 7.52/5.14 tff(1057,plain,
% 7.52/5.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1058,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1059,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 7.52/5.14 tff(1060,plain,
% 7.52/5.14 (~m_main_v_state1(s8, c_n1)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1059, 10, 1056])).
% 7.52/5.14 tff(1061,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1062,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1063,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 7.52/5.14 tff(1064,plain,
% 7.52/5.14 (~node1(s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1063, 421, 1060])).
% 7.52/5.14 tff(1065,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1066,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1067,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 7.52/5.14 tff(1068,plain,
% 7.52/5.14 (node18(s7, s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1067, 125, 1047])).
% 7.52/5.14 tff(1069,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1070,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1071,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 7.52/5.14 tff(1072,plain,
% 7.52/5.14 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1071, 760, 1068])).
% 7.52/5.14 tff(1073,plain,
% 7.52/5.14 (m_main_v_turn(s8, c_2)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1072, 1040, 974])).
% 7.52/5.14 tff(1074,plain,
% 7.52/5.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1075,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1076,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 7.52/5.14 tff(1077,plain,
% 7.52/5.14 (~m_main_v_turn(s8, c_1)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1076, 156, 1073])).
% 7.52/5.14 tff(1078,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1079,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1080,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 7.52/5.14 tff(1081,plain,
% 7.52/5.14 (~node5(s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1080, 776, 1077])).
% 7.52/5.14 tff(1082,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1083,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1084,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 7.52/5.14 tff(1085,plain,
% 7.52/5.14 (~node2(s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1084, 787, 1060])).
% 7.52/5.14 tff(1086,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1087,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1088,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 7.52/5.14 tff(1089,plain,
% 7.52/5.14 (~node3(s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1088, 798, 1060])).
% 7.52/5.14 tff(1090,plain,
% 7.52/5.14 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1091,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1092,plain,
% 7.52/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 7.52/5.14 tff(1093,plain,
% 7.52/5.14 (~m_main_v_state1(s8, c_c1)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1092, 539, 1056])).
% 7.52/5.14 tff(1094,plain,
% 7.52/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1095,plain,
% 7.52/5.14 (((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2))) <=> (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1096,plain,
% 7.52/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))))),
% 7.52/5.14 inference(monotonicity,[status(thm)],[1095])).
% 7.52/5.14 tff(1097,plain,
% 7.52/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 7.52/5.14 inference(transitivity,[status(thm)],[1096, 1094])).
% 7.52/5.14 tff(1098,plain,
% 7.52/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1099,plain,
% 7.52/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 7.52/5.14 tff(1100,plain,
% 7.52/5.14 (~m_main_v_state2(s7, c_n2)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1099, 311, 931, 1033])).
% 7.52/5.14 tff(1101,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1102,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1103,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 7.52/5.14 tff(1104,plain,
% 7.52/5.14 (~node9(s7)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1103, 88, 1100])).
% 7.52/5.14 tff(1105,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1106,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1107,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 7.52/5.14 tff(1108,plain,
% 7.52/5.14 (~node10(s7)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1107, 249, 1100])).
% 7.52/5.14 tff(1109,plain,
% 7.52/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1110,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1111,plain,
% 7.52/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 7.52/5.14 tff(1112,plain,
% 7.52/5.14 (~node8(s7)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1111, 271, 1100])).
% 7.52/5.14 tff(1113,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8))),
% 7.52/5.14 inference(rewrite,[status(thm)],[])).
% 7.52/5.14 tff(1114,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 7.52/5.14 inference(quant_inst,[status(thm)],[])).
% 7.52/5.14 tff(1115,plain,
% 7.52/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 7.52/5.14 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 7.52/5.14 tff(1116,plain,
% 7.52/5.14 (node14(s7, s8)),
% 7.52/5.14 inference(unit_resolution,[status(thm)],[1115, 46, 1047])).
% 7.52/5.14 tff(1117,plain,
% 7.52/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1118,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1119,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 7.52/5.15 tff(1120,plain,
% 7.52/5.15 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | m_main_v_state2(s8, c_c2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1119, 617, 1116])).
% 7.52/5.15 tff(1121,plain,
% 7.52/5.15 (m_main_v_state2(s8, c_c2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1120, 1112, 974, 1040, 1108, 1104])).
% 7.52/5.15 tff(1122,plain,
% 7.52/5.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1123,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1124,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 7.52/5.15 tff(1125,plain,
% 7.52/5.15 (~m_main_v_state2(s8, c_n2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1124, 697, 1121])).
% 7.52/5.15 tff(1126,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1127,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1128,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 7.52/5.15 tff(1129,plain,
% 7.52/5.15 (~node4(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1128, 388, 1125])).
% 7.52/5.15 tff(1130,plain,
% 7.52/5.15 (succ(s8, s9) <=> succ(s8, s9)),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1131,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 7.52/5.15 tff(1132,plain,
% 7.52/5.15 (succ(s8, s9)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 7.52/5.15 tff(1133,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1134,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1135,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 7.52/5.15 tff(1136,plain,
% 7.52/5.15 (trans(s8, s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1135, 1132, 32])).
% 7.52/5.15 tff(1137,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1138,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1139,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 7.52/5.15 tff(1140,plain,
% 7.52/5.15 (node7(s8, s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1139, 206, 1136])).
% 7.52/5.15 tff(1141,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1142,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1143,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 7.52/5.15 tff(1144,plain,
% 7.52/5.15 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1143, 820, 1140])).
% 7.52/5.15 tff(1145,plain,
% 7.52/5.15 (node6(s8, s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1144, 1129, 1093, 1089, 1085, 1081, 1064])).
% 7.52/5.15 tff(1146,plain,
% 7.52/5.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1147,plain,
% 7.52/5.15 (((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1)) <=> ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1148,plain,
% 7.52/5.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))))),
% 7.52/5.15 inference(monotonicity,[status(thm)],[1147])).
% 7.52/5.15 tff(1149,plain,
% 7.52/5.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 7.52/5.15 inference(transitivity,[status(thm)],[1148, 1146])).
% 7.52/5.15 tff(1150,plain,
% 7.52/5.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1151,plain,
% 7.52/5.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 7.52/5.15 tff(1152,plain,
% 7.52/5.15 (m_main_v_state1(s9, c_t1)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1151, 856, 1056, 1145])).
% 7.52/5.15 tff(1153,plain,
% 7.52/5.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1154,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1155,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 7.52/5.15 tff(1156,plain,
% 7.52/5.15 (~m_main_v_state2(s8, c_t2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1155, 260, 1121])).
% 7.52/5.15 tff(1157,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1158,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1159,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 7.52/5.15 tff(1160,plain,
% 7.52/5.15 (~node12(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1159, 633, 1156])).
% 7.52/5.15 tff(1161,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1162,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1163,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 7.52/5.15 tff(1164,plain,
% 7.52/5.15 (~node11(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1163, 238, 1060])).
% 7.52/5.15 tff(1165,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1166,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1167,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 7.52/5.15 tff(1168,plain,
% 7.52/5.15 (~node10(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1167, 675, 1093])).
% 7.52/5.15 tff(1169,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1170,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1171,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 7.52/5.15 tff(1172,plain,
% 7.52/5.15 (~node9(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1171, 686, 1060])).
% 7.52/5.15 tff(1173,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1174,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1175,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 7.52/5.15 tff(1176,plain,
% 7.52/5.15 (~node8(s8)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1175, 271, 1125])).
% 7.52/5.15 tff(1177,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1178,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1179,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 7.52/5.15 tff(1180,plain,
% 7.52/5.15 (node14(s8, s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1179, 46, 1136])).
% 7.52/5.15 tff(1181,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1182,plain,
% 7.52/5.15 (((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2)) <=> (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1183,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))))),
% 7.52/5.15 inference(monotonicity,[status(thm)],[1182])).
% 7.52/5.15 tff(1184,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 7.52/5.15 inference(transitivity,[status(thm)],[1183, 1181])).
% 7.52/5.15 tff(1185,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1186,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 7.52/5.15 tff(1187,plain,
% 7.52/5.15 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1186, 726, 1180])).
% 7.52/5.15 tff(1188,plain,
% 7.52/5.15 (m_main_v_state2(s9, c_n2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1187, 1176, 1121, 1172, 1168, 1164, 1160])).
% 7.52/5.15 tff(1189,plain,
% 7.52/5.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1190,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1191,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 7.52/5.15 tff(1192,plain,
% 7.52/5.15 (~m_main_v_state2(s9, c_t2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1191, 77, 1188])).
% 7.52/5.15 tff(1193,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1194,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1195,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 7.52/5.15 tff(1196,plain,
% 7.52/5.15 (~node15(s9)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1195, 103, 1192])).
% 7.52/5.15 tff(1197,plain,
% 7.52/5.15 (succ(s9, s10) <=> succ(s9, s10)),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1198,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 7.52/5.15 tff(1199,plain,
% 7.52/5.15 (succ(s9, s10)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 7.52/5.15 tff(1200,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1201,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1202,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 7.52/5.15 tff(1203,plain,
% 7.52/5.15 (trans(s9, s10)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1202, 1199, 32])).
% 7.52/5.15 tff(1204,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1205,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1206,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 7.52/5.15 tff(1207,plain,
% 7.52/5.15 (node18(s9, s10)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1206, 125, 1203])).
% 7.52/5.15 tff(1208,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1209,plain,
% 7.52/5.15 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1)) <=> (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1210,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)))),
% 7.52/5.15 inference(monotonicity,[status(thm)],[1209])).
% 7.52/5.15 tff(1211,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 7.52/5.15 inference(transitivity,[status(thm)],[1210, 1208])).
% 7.52/5.15 tff(1212,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1213,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 7.52/5.15 tff(1214,plain,
% 7.52/5.15 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1213, 992, 1207])).
% 7.52/5.15 tff(1215,plain,
% 7.52/5.15 (m_main_v_turn(s10, c_1)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1214, 1196, 1188, 1152])).
% 7.52/5.15 tff(1216,plain,
% 7.52/5.15 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1217,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1218,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 7.52/5.15 tff(1219,plain,
% 7.52/5.15 (~m_main_v_turn(s10, c_2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1218, 156, 1215])).
% 7.52/5.15 tff(1220,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1221,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1222,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 7.52/5.15 tff(1223,plain,
% 7.52/5.15 (~node12(s10)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1222, 184, 1219])).
% 7.52/5.15 tff(1224,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1225,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1226,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 7.52/5.15 tff(1227,plain,
% 7.52/5.15 (node14(s9, s10)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1226, 46, 1203])).
% 7.52/5.15 tff(1228,plain,
% 7.52/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1229,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1230,plain,
% 7.52/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 7.52/5.15 tff(1231,plain,
% 7.52/5.15 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1230, 922, 1227])).
% 7.52/5.15 tff(1232,plain,
% 7.52/5.15 (m_main_v_state2(s10, c_t2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1231, 1152, 1188])).
% 7.52/5.15 tff(1233,plain,
% 7.52/5.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1234,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1235,plain,
% 7.52/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2))),
% 7.52/5.15 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 7.52/5.15 tff(1236,plain,
% 7.52/5.15 (~m_main_v_state2(s10, c_n2)),
% 7.52/5.15 inference(unit_resolution,[status(thm)],[1235, 77, 1232])).
% 7.52/5.15 tff(1237,plain,
% 7.52/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 7.52/5.15 inference(rewrite,[status(thm)],[])).
% 7.52/5.15 tff(1238,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 7.52/5.15 inference(quant_inst,[status(thm)],[])).
% 7.52/5.15 tff(1239,plain,
% 7.52/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 7.52/5.16 tff(1240,plain,
% 7.52/5.16 (~node8(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1239, 271, 1236])).
% 7.52/5.16 tff(1241,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1242,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1243,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 7.52/5.16 tff(1244,plain,
% 7.52/5.16 (~node9(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1243, 88, 1236])).
% 7.52/5.16 tff(1245,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1246,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1247,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 7.52/5.16 tff(1248,plain,
% 7.52/5.16 (~node10(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1247, 249, 1236])).
% 7.52/5.16 tff(1249,plain,
% 7.52/5.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1250,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1251,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 7.52/5.16 tff(1252,plain,
% 7.52/5.16 (~m_main_v_state2(s10, c_c2)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1251, 260, 1232])).
% 7.52/5.16 tff(1253,plain,
% 7.52/5.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1254,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1255,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 7.52/5.16 tff(1256,plain,
% 7.52/5.16 (~m_main_v_state2(s9, c_c2)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1255, 697, 1188])).
% 7.52/5.16 tff(1257,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1258,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1259,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 7.52/5.16 tff(1260,plain,
% 7.52/5.16 (~node3(s9)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1259, 399, 1256])).
% 7.52/5.16 tff(1261,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1262,plain,
% 7.52/5.16 (((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1))) <=> (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1263,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))))),
% 7.52/5.16 inference(monotonicity,[status(thm)],[1262])).
% 7.52/5.16 tff(1264,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 7.52/5.16 inference(transitivity,[status(thm)],[1263, 1261])).
% 7.52/5.16 tff(1265,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1266,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 7.52/5.16 tff(1267,plain,
% 7.52/5.16 (~m_main_v_state1(s9, c_n1)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1266, 835, 1060, 1145])).
% 7.52/5.16 tff(1268,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1269,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1270,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 7.52/5.16 tff(1271,plain,
% 7.52/5.16 (~node2(s9)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1270, 787, 1267])).
% 7.52/5.16 tff(1272,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1273,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1274,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 7.52/5.16 tff(1275,plain,
% 7.52/5.16 (~node1(s9)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1274, 195, 1192])).
% 7.52/5.16 tff(1276,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1277,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1278,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 7.52/5.16 tff(1279,plain,
% 7.52/5.16 (node7(s9, s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1278, 206, 1203])).
% 7.52/5.16 tff(1280,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1281,plain,
% 7.52/5.16 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1)) <=> ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1282,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))))),
% 7.52/5.16 inference(monotonicity,[status(thm)],[1281])).
% 7.52/5.16 tff(1283,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 7.52/5.16 inference(transitivity,[status(thm)],[1282, 1280])).
% 7.52/5.16 tff(1284,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1285,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 7.52/5.16 tff(1286,plain,
% 7.52/5.16 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1285, 892, 1279])).
% 7.52/5.16 tff(1287,plain,
% 7.52/5.16 (m_main_v_state1(s10, c_c1)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1286, 1275, 1188, 1152, 1271, 1260])).
% 7.52/5.16 tff(1288,plain,
% 7.52/5.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1289,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1290,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 7.52/5.16 tff(1291,plain,
% 7.52/5.16 (~m_main_v_state1(s10, c_n1)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1290, 454, 1287])).
% 7.52/5.16 tff(1292,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1293,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1294,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 7.52/5.16 tff(1295,plain,
% 7.52/5.16 (~node11(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1294, 238, 1291])).
% 7.52/5.16 tff(1296,plain,
% 7.52/5.16 (succ(s10, s11) <=> succ(s10, s11)),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1297,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 7.52/5.16 tff(1298,plain,
% 7.52/5.16 (succ(s10, s11)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 7.52/5.16 tff(1299,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1300,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1301,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 7.52/5.16 tff(1302,plain,
% 7.52/5.16 (trans(s10, s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1301, 1298, 32])).
% 7.52/5.16 tff(1303,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1304,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1305,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 7.52/5.16 tff(1306,plain,
% 7.52/5.16 (node14(s10, s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1305, 46, 1302])).
% 7.52/5.16 tff(1307,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1308,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1309,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 7.52/5.16 tff(1310,plain,
% 7.52/5.16 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1309, 296, 1306])).
% 7.52/5.16 tff(1311,plain,
% 7.52/5.16 (node13(s10, s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1310, 1295, 1252, 1248, 1244, 1240, 1223])).
% 7.52/5.16 tff(1312,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1313,plain,
% 7.52/5.16 (((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2))) <=> (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1314,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))))),
% 7.52/5.16 inference(monotonicity,[status(thm)],[1313])).
% 7.52/5.16 tff(1315,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 7.52/5.16 inference(transitivity,[status(thm)],[1314, 1312])).
% 7.52/5.16 tff(1316,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1317,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 7.52/5.16 tff(1318,plain,
% 7.52/5.16 (~m_main_v_state2(s11, c_n2)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1317, 311, 1236, 1311])).
% 7.52/5.16 tff(1319,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1320,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1321,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 7.52/5.16 tff(1322,plain,
% 7.52/5.16 (~node9(s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1321, 88, 1318])).
% 7.52/5.16 tff(1323,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1324,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1325,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 7.52/5.16 tff(1326,plain,
% 7.52/5.16 (~node10(s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1325, 249, 1318])).
% 7.52/5.16 tff(1327,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1328,plain,
% 7.52/5.16 (((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2)) <=> ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1329,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))))),
% 7.52/5.16 inference(monotonicity,[status(thm)],[1328])).
% 7.52/5.16 tff(1330,plain,
% 7.52/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 7.52/5.16 inference(transitivity,[status(thm)],[1329, 1327])).
% 7.52/5.16 tff(1331,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1332,plain,
% 7.52/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 7.52/5.16 tff(1333,plain,
% 7.52/5.16 (m_main_v_state2(s11, c_t2)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1332, 518, 1232, 1311])).
% 7.52/5.16 tff(1334,plain,
% 7.52/5.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1335,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1336,plain,
% 7.52/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 7.52/5.16 tff(1337,plain,
% 7.52/5.16 (~m_main_v_state1(s10, c_t1)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1336, 539, 1287])).
% 7.52/5.16 tff(1338,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1339,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1340,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 7.52/5.16 tff(1341,plain,
% 7.52/5.16 (~node5(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1340, 550, 1337])).
% 7.52/5.16 tff(1342,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1343,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1344,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 7.52/5.16 tff(1345,plain,
% 7.52/5.16 (~node4(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1344, 388, 1236])).
% 7.52/5.16 tff(1346,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1347,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1348,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 7.52/5.16 tff(1349,plain,
% 7.52/5.16 (~node3(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1348, 399, 1252])).
% 7.52/5.16 tff(1350,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1351,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1352,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 7.52/5.16 tff(1353,plain,
% 7.52/5.16 (~node2(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1352, 410, 1236])).
% 7.52/5.16 tff(1354,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1355,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1356,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 7.52/5.16 tff(1357,plain,
% 7.52/5.16 (~node1(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1356, 421, 1291])).
% 7.52/5.16 tff(1358,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1359,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1360,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 7.52/5.16 tff(1361,plain,
% 7.52/5.16 (node7(s10, s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1360, 206, 1302])).
% 7.52/5.16 tff(1362,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1363,plain,
% 7.52/5.16 (((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1)) <=> (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1364,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))))),
% 7.52/5.16 inference(monotonicity,[status(thm)],[1363])).
% 7.52/5.16 tff(1365,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 7.52/5.16 inference(transitivity,[status(thm)],[1364, 1362])).
% 7.52/5.16 tff(1366,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1367,plain,
% 7.52/5.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 7.52/5.16 tff(1368,plain,
% 7.52/5.16 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1367, 584, 1361])).
% 7.52/5.16 tff(1369,plain,
% 7.52/5.16 (m_main_v_state1(s11, c_n1)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1368, 1357, 1287, 1353, 1349, 1345, 1341])).
% 7.52/5.16 tff(1370,plain,
% 7.52/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1371,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 7.52/5.16 inference(quant_inst,[status(thm)],[])).
% 7.52/5.16 tff(1372,plain,
% 7.52/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 7.52/5.16 tff(1373,plain,
% 7.52/5.16 (~node8(s11)),
% 7.52/5.16 inference(unit_resolution,[status(thm)],[1372, 271, 1318])).
% 7.52/5.16 tff(1374,plain,
% 7.52/5.16 (succ(s11, s12) <=> succ(s11, s12)),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.16 tff(1375,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 7.52/5.16 tff(1376,plain,
% 7.52/5.16 (succ(s11, s12)),
% 7.52/5.16 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 7.52/5.16 tff(1377,plain,
% 7.52/5.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12))),
% 7.52/5.16 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1378,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1379,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 7.52/5.17 tff(1380,plain,
% 7.52/5.17 (trans(s11, s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1379, 1376, 32])).
% 7.52/5.17 tff(1381,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1382,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1383,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 7.52/5.17 tff(1384,plain,
% 7.52/5.17 (node14(s11, s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1383, 46, 1380])).
% 7.52/5.17 tff(1385,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1386,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1387,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 7.52/5.17 tff(1388,plain,
% 7.52/5.17 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | m_main_v_state2(s12, c_c2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1387, 617, 1384])).
% 7.52/5.17 tff(1389,plain,
% 7.52/5.17 (m_main_v_state2(s12, c_c2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1388, 1373, 1369, 1333, 1326, 1322])).
% 7.52/5.17 tff(1390,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1391,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1392,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 7.52/5.17 tff(1393,plain,
% 7.52/5.17 (~m_main_v_state2(s12, c_t2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1392, 260, 1389])).
% 7.52/5.17 tff(1394,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1395,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1396,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 7.52/5.17 tff(1397,plain,
% 7.52/5.17 (~node12(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1396, 633, 1393])).
% 7.52/5.17 tff(1398,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1399,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1400,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 7.52/5.17 tff(1401,plain,
% 7.52/5.17 (node7(s11, s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1400, 206, 1380])).
% 7.52/5.17 tff(1402,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1403,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1404,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 7.52/5.17 tff(1405,plain,
% 7.52/5.17 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1404, 651, 1401])).
% 7.52/5.17 tff(1406,plain,
% 7.52/5.17 (m_main_v_state1(s12, c_t1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1405, 1333, 1369])).
% 7.52/5.17 tff(1407,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1408,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1409,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 7.52/5.17 tff(1410,plain,
% 7.52/5.17 (~m_main_v_state1(s12, c_n1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1409, 10, 1406])).
% 7.52/5.17 tff(1411,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1412,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1413,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 7.52/5.17 tff(1414,plain,
% 7.52/5.17 (~node11(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1413, 238, 1410])).
% 7.52/5.17 tff(1415,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1416,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1417,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 7.52/5.17 tff(1418,plain,
% 7.52/5.17 (~m_main_v_state1(s12, c_c1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1417, 539, 1406])).
% 7.52/5.17 tff(1419,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1420,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1421,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 7.52/5.17 tff(1422,plain,
% 7.52/5.17 (~node10(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1421, 675, 1418])).
% 7.52/5.17 tff(1423,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1424,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1425,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 7.52/5.17 tff(1426,plain,
% 7.52/5.17 (~node9(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1425, 686, 1410])).
% 7.52/5.17 tff(1427,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1428,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1429,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 7.52/5.17 tff(1430,plain,
% 7.52/5.17 (~m_main_v_state2(s12, c_n2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1429, 697, 1389])).
% 7.52/5.17 tff(1431,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1432,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1433,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 7.52/5.17 tff(1434,plain,
% 7.52/5.17 (~node8(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1433, 271, 1430])).
% 7.52/5.17 tff(1435,plain,
% 7.52/5.17 (succ(s12, s13) <=> succ(s12, s13)),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1436,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 7.52/5.17 tff(1437,plain,
% 7.52/5.17 (succ(s12, s13)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 7.52/5.17 tff(1438,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1439,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1440,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 7.52/5.17 tff(1441,plain,
% 7.52/5.17 (trans(s12, s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1440, 1437, 32])).
% 7.52/5.17 tff(1442,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1443,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1444,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 7.52/5.17 tff(1445,plain,
% 7.52/5.17 (node14(s12, s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1444, 46, 1441])).
% 7.52/5.17 tff(1446,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1447,plain,
% 7.52/5.17 (((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2)) <=> (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1448,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))))),
% 7.52/5.17 inference(monotonicity,[status(thm)],[1447])).
% 7.52/5.17 tff(1449,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 7.52/5.17 inference(transitivity,[status(thm)],[1448, 1446])).
% 7.52/5.17 tff(1450,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1451,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 7.52/5.17 tff(1452,plain,
% 7.52/5.17 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1451, 726, 1445])).
% 7.52/5.17 tff(1453,plain,
% 7.52/5.17 (m_main_v_state2(s13, c_n2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1452, 1434, 1389, 1426, 1422, 1414, 1397])).
% 7.52/5.17 tff(1454,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1455,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1456,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 7.52/5.17 tff(1457,plain,
% 7.52/5.17 (~m_main_v_state2(s13, c_c2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1456, 697, 1453])).
% 7.52/5.17 tff(1458,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1459,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1460,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 7.52/5.17 tff(1461,plain,
% 7.52/5.17 (~node3(s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1460, 399, 1457])).
% 7.52/5.17 tff(1462,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1463,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1464,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 7.52/5.17 tff(1465,plain,
% 7.52/5.17 (~node1(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1464, 421, 1410])).
% 7.52/5.17 tff(1466,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1467,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1468,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 7.52/5.17 tff(1469,plain,
% 7.52/5.17 (node18(s11, s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1468, 125, 1380])).
% 7.52/5.17 tff(1470,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1471,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1472,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 7.52/5.17 tff(1473,plain,
% 7.52/5.17 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1472, 760, 1469])).
% 7.52/5.17 tff(1474,plain,
% 7.52/5.17 (m_main_v_turn(s12, c_2)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1473, 1333, 1369])).
% 7.52/5.17 tff(1475,plain,
% 7.52/5.17 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1476,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1477,plain,
% 7.52/5.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 7.52/5.17 tff(1478,plain,
% 7.52/5.17 (~m_main_v_turn(s12, c_1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1477, 156, 1474])).
% 7.52/5.17 tff(1479,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1480,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1481,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 7.52/5.17 tff(1482,plain,
% 7.52/5.17 (~node5(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1481, 776, 1478])).
% 7.52/5.17 tff(1483,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1484,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1485,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 7.52/5.17 tff(1486,plain,
% 7.52/5.17 (~node2(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1485, 787, 1410])).
% 7.52/5.17 tff(1487,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1488,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1489,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 7.52/5.17 tff(1490,plain,
% 7.52/5.17 (~node3(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1489, 798, 1410])).
% 7.52/5.17 tff(1491,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1492,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1493,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 7.52/5.17 tff(1494,plain,
% 7.52/5.17 (~node4(s12)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1493, 388, 1430])).
% 7.52/5.17 tff(1495,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1496,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1497,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 7.52/5.17 tff(1498,plain,
% 7.52/5.17 (node7(s12, s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1497, 206, 1441])).
% 7.52/5.17 tff(1499,plain,
% 7.52/5.17 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1500,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1501,plain,
% 7.52/5.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 7.52/5.17 tff(1502,plain,
% 7.52/5.17 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1501, 820, 1498])).
% 7.52/5.17 tff(1503,plain,
% 7.52/5.17 (node6(s12, s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1502, 1494, 1418, 1490, 1486, 1482, 1465])).
% 7.52/5.17 tff(1504,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1505,plain,
% 7.52/5.17 (((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1))) <=> (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1506,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))))),
% 7.52/5.17 inference(monotonicity,[status(thm)],[1505])).
% 7.52/5.17 tff(1507,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 7.52/5.17 inference(transitivity,[status(thm)],[1506, 1504])).
% 7.52/5.17 tff(1508,plain,
% 7.52/5.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1509,plain,
% 7.52/5.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 7.52/5.17 tff(1510,plain,
% 7.52/5.17 (~m_main_v_state1(s13, c_n1)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1509, 835, 1410, 1503])).
% 7.52/5.17 tff(1511,plain,
% 7.52/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1512,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 7.52/5.17 inference(quant_inst,[status(thm)],[])).
% 7.52/5.17 tff(1513,plain,
% 7.52/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 7.52/5.17 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 7.52/5.17 tff(1514,plain,
% 7.52/5.17 (~node2(s13)),
% 7.52/5.17 inference(unit_resolution,[status(thm)],[1513, 787, 1510])).
% 7.52/5.17 tff(1515,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1516,plain,
% 7.52/5.17 (((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1)) <=> ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 7.52/5.17 inference(rewrite,[status(thm)],[])).
% 7.52/5.17 tff(1517,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))))),
% 7.52/5.17 inference(monotonicity,[status(thm)],[1516])).
% 7.52/5.17 tff(1518,plain,
% 7.52/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 7.52/5.17 inference(transitivity,[status(thm)],[1517, 1515])).
% 7.52/5.17 tff(1519,plain,
% 7.52/5.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1520,plain,
% 7.52/5.18 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 7.52/5.18 tff(1521,plain,
% 7.52/5.18 (m_main_v_state1(s13, c_t1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1520, 856, 1406, 1503])).
% 7.52/5.18 tff(1522,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1523,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1524,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 7.52/5.18 tff(1525,plain,
% 7.52/5.18 (~m_main_v_state2(s13, c_t2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1524, 77, 1453])).
% 7.52/5.18 tff(1526,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1527,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1528,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 7.52/5.18 tff(1529,plain,
% 7.52/5.18 (~node1(s13)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1528, 195, 1525])).
% 7.52/5.18 tff(1530,plain,
% 7.52/5.18 (succ(s13, s14) <=> succ(s13, s14)),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1531,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 7.52/5.18 tff(1532,plain,
% 7.52/5.18 (succ(s13, s14)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 7.52/5.18 tff(1533,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1534,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1535,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 7.52/5.18 tff(1536,plain,
% 7.52/5.18 (trans(s13, s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1535, 1532, 32])).
% 7.52/5.18 tff(1537,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1538,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1539,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 7.52/5.18 tff(1540,plain,
% 7.52/5.18 (node7(s13, s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1539, 206, 1536])).
% 7.52/5.18 tff(1541,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1542,plain,
% 7.52/5.18 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1)) <=> ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1543,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))))),
% 7.52/5.18 inference(monotonicity,[status(thm)],[1542])).
% 7.52/5.18 tff(1544,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 7.52/5.18 inference(transitivity,[status(thm)],[1543, 1541])).
% 7.52/5.18 tff(1545,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1546,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 7.52/5.18 tff(1547,plain,
% 7.52/5.18 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1546, 892, 1540])).
% 7.52/5.18 tff(1548,plain,
% 7.52/5.18 (m_main_v_state1(s14, c_c1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1547, 1529, 1453, 1521, 1514, 1461])).
% 7.52/5.18 tff(1549,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1550,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1551,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 7.52/5.18 tff(1552,plain,
% 7.52/5.18 (~m_main_v_state1(s14, c_t1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1551, 539, 1548])).
% 7.52/5.18 tff(1553,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1554,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1555,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 7.52/5.18 tff(1556,plain,
% 7.52/5.18 (~node5(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1555, 550, 1552])).
% 7.52/5.18 tff(1557,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1558,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1559,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 7.52/5.18 tff(1560,plain,
% 7.52/5.18 (node14(s13, s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1559, 46, 1536])).
% 7.52/5.18 tff(1561,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1562,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1563,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 7.52/5.18 tff(1564,plain,
% 7.52/5.18 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1563, 922, 1560])).
% 7.52/5.18 tff(1565,plain,
% 7.52/5.18 (m_main_v_state2(s14, c_t2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1564, 1521, 1453])).
% 7.52/5.18 tff(1566,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1567,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1568,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 7.52/5.18 tff(1569,plain,
% 7.52/5.18 (~m_main_v_state2(s14, c_n2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1568, 77, 1565])).
% 7.52/5.18 tff(1570,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1571,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1572,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 7.52/5.18 tff(1573,plain,
% 7.52/5.18 (~node4(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1572, 388, 1569])).
% 7.52/5.18 tff(1574,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1575,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1576,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 7.52/5.18 tff(1577,plain,
% 7.52/5.18 (~m_main_v_state2(s14, c_c2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1576, 260, 1565])).
% 7.52/5.18 tff(1578,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1579,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1580,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 7.52/5.18 tff(1581,plain,
% 7.52/5.18 (~node3(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1580, 399, 1577])).
% 7.52/5.18 tff(1582,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1583,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1584,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 7.52/5.18 tff(1585,plain,
% 7.52/5.18 (~node2(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1584, 410, 1569])).
% 7.52/5.18 tff(1586,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1587,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1588,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 7.52/5.18 tff(1589,plain,
% 7.52/5.18 (~m_main_v_state1(s14, c_n1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1588, 454, 1548])).
% 7.52/5.18 tff(1590,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1591,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1592,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 7.52/5.18 tff(1593,plain,
% 7.52/5.18 (~node1(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1592, 421, 1589])).
% 7.52/5.18 tff(1594,plain,
% 7.52/5.18 (succ(s14, s15) <=> succ(s14, s15)),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1595,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 7.52/5.18 tff(1596,plain,
% 7.52/5.18 (succ(s14, s15)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 7.52/5.18 tff(1597,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1598,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1599,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 7.52/5.18 tff(1600,plain,
% 7.52/5.18 (trans(s14, s15)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1599, 1596, 32])).
% 7.52/5.18 tff(1601,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1602,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1603,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 7.52/5.18 tff(1604,plain,
% 7.52/5.18 (node7(s14, s15)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1603, 206, 1600])).
% 7.52/5.18 tff(1605,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1606,plain,
% 7.52/5.18 (((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1)) <=> (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1607,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))))),
% 7.52/5.18 inference(monotonicity,[status(thm)],[1606])).
% 7.52/5.18 tff(1608,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 7.52/5.18 inference(transitivity,[status(thm)],[1607, 1605])).
% 7.52/5.18 tff(1609,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1610,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 7.52/5.18 tff(1611,plain,
% 7.52/5.18 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1610, 584, 1604])).
% 7.52/5.18 tff(1612,plain,
% 7.52/5.18 (m_main_v_state1(s15, c_n1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1611, 1593, 1548, 1585, 1581, 1573, 1556])).
% 7.52/5.18 tff(1613,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1614,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1615,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 7.52/5.18 tff(1616,plain,
% 7.52/5.18 (~node15(s13)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1615, 103, 1525])).
% 7.52/5.18 tff(1617,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1618,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1619,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 7.52/5.18 tff(1620,plain,
% 7.52/5.18 (node18(s13, s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1619, 125, 1536])).
% 7.52/5.18 tff(1621,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1622,plain,
% 7.52/5.18 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1)) <=> (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1623,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)))),
% 7.52/5.18 inference(monotonicity,[status(thm)],[1622])).
% 7.52/5.18 tff(1624,plain,
% 7.52/5.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 7.52/5.18 inference(transitivity,[status(thm)],[1623, 1621])).
% 7.52/5.18 tff(1625,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1626,plain,
% 7.52/5.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 7.52/5.18 tff(1627,plain,
% 7.52/5.18 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1626, 992, 1620])).
% 7.52/5.18 tff(1628,plain,
% 7.52/5.18 (m_main_v_turn(s14, c_1)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1627, 1616, 1453, 1521])).
% 7.52/5.18 tff(1629,plain,
% 7.52/5.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1630,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1631,plain,
% 7.52/5.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 7.52/5.18 tff(1632,plain,
% 7.52/5.18 (~m_main_v_turn(s14, c_2)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1631, 156, 1628])).
% 7.52/5.18 tff(1633,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1634,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1635,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 7.52/5.18 tff(1636,plain,
% 7.52/5.18 (~node12(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1635, 184, 1632])).
% 7.52/5.18 tff(1637,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1638,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1639,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 7.52/5.18 tff(1640,plain,
% 7.52/5.18 (~node8(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1639, 271, 1569])).
% 7.52/5.18 tff(1641,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 7.52/5.18 inference(rewrite,[status(thm)],[])).
% 7.52/5.18 tff(1642,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 7.52/5.18 inference(quant_inst,[status(thm)],[])).
% 7.52/5.18 tff(1643,plain,
% 7.52/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 7.52/5.18 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 7.52/5.18 tff(1644,plain,
% 7.52/5.18 (~node9(s14)),
% 7.52/5.18 inference(unit_resolution,[status(thm)],[1643, 88, 1569])).
% 7.52/5.18 tff(1645,plain,
% 7.52/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1646,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1647,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 7.52/5.19 tff(1648,plain,
% 7.52/5.19 (~node10(s14)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1647, 249, 1569])).
% 7.52/5.19 tff(1649,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1650,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1651,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 7.52/5.19 tff(1652,plain,
% 7.52/5.19 (~node11(s14)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1651, 238, 1589])).
% 7.52/5.19 tff(1653,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1654,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1655,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 7.52/5.19 tff(1656,plain,
% 7.52/5.19 (node14(s14, s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1655, 46, 1600])).
% 7.52/5.19 tff(1657,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1658,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1659,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 7.52/5.19 tff(1660,plain,
% 7.52/5.19 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1659, 296, 1656])).
% 7.52/5.19 tff(1661,plain,
% 7.52/5.19 (node13(s14, s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1660, 1652, 1577, 1648, 1644, 1640, 1636])).
% 7.52/5.19 tff(1662,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1663,plain,
% 7.52/5.19 (((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2)) <=> ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1664,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))))),
% 7.52/5.19 inference(monotonicity,[status(thm)],[1663])).
% 7.52/5.19 tff(1665,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 7.52/5.19 inference(transitivity,[status(thm)],[1664, 1662])).
% 7.52/5.19 tff(1666,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1667,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 7.52/5.19 tff(1668,plain,
% 7.52/5.19 (m_main_v_state2(s15, c_t2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1667, 518, 1565, 1661])).
% 7.52/5.19 tff(1669,plain,
% 7.52/5.19 (succ(s15, s16) <=> succ(s15, s16)),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1670,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 7.52/5.19 tff(1671,plain,
% 7.52/5.19 (succ(s15, s16)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 7.52/5.19 tff(1672,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1673,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1674,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 7.52/5.19 tff(1675,plain,
% 7.52/5.19 (trans(s15, s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1674, 1671, 32])).
% 7.52/5.19 tff(1676,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1677,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1678,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 7.52/5.19 tff(1679,plain,
% 7.52/5.19 (node7(s15, s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1678, 206, 1675])).
% 7.52/5.19 tff(1680,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1681,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1682,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 7.52/5.19 tff(1683,plain,
% 7.52/5.19 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1682, 651, 1679])).
% 7.52/5.19 tff(1684,plain,
% 7.52/5.19 (m_main_v_state1(s16, c_t1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1683, 1668, 1612])).
% 7.52/5.19 tff(1685,plain,
% 7.52/5.19 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1686,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1687,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 7.52/5.19 tff(1688,plain,
% 7.52/5.19 (~m_main_v_state1(s16, c_n1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1687, 10, 1684])).
% 7.52/5.19 tff(1689,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1690,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1691,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 7.52/5.19 tff(1692,plain,
% 7.52/5.19 (~node1(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1691, 421, 1688])).
% 7.52/5.19 tff(1693,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1694,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1695,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 7.52/5.19 tff(1696,plain,
% 7.52/5.19 (node18(s15, s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1695, 125, 1675])).
% 7.52/5.19 tff(1697,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1698,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1699,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 7.52/5.19 tff(1700,plain,
% 7.52/5.19 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1699, 760, 1696])).
% 7.52/5.19 tff(1701,plain,
% 7.52/5.19 (m_main_v_turn(s16, c_2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1700, 1668, 1612])).
% 7.52/5.19 tff(1702,plain,
% 7.52/5.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1703,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1704,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 7.52/5.19 tff(1705,plain,
% 7.52/5.19 (~m_main_v_turn(s16, c_1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1704, 156, 1701])).
% 7.52/5.19 tff(1706,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1707,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1708,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 7.52/5.19 tff(1709,plain,
% 7.52/5.19 (~node5(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1708, 776, 1705])).
% 7.52/5.19 tff(1710,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1711,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1712,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 7.52/5.19 tff(1713,plain,
% 7.52/5.19 (~node2(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1712, 787, 1688])).
% 7.52/5.19 tff(1714,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1715,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1716,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 7.52/5.19 tff(1717,plain,
% 7.52/5.19 (~node3(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1716, 798, 1688])).
% 7.52/5.19 tff(1718,plain,
% 7.52/5.19 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1719,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1720,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 7.52/5.19 tff(1721,plain,
% 7.52/5.19 (~m_main_v_state1(s16, c_c1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1720, 539, 1684])).
% 7.52/5.19 tff(1722,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1723,plain,
% 7.52/5.19 (((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2))) <=> (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1724,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))))),
% 7.52/5.19 inference(monotonicity,[status(thm)],[1723])).
% 7.52/5.19 tff(1725,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 7.52/5.19 inference(transitivity,[status(thm)],[1724, 1722])).
% 7.52/5.19 tff(1726,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1727,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 7.52/5.19 tff(1728,plain,
% 7.52/5.19 (~m_main_v_state2(s15, c_n2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1727, 311, 1569, 1661])).
% 7.52/5.19 tff(1729,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1730,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1731,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 7.52/5.19 tff(1732,plain,
% 7.52/5.19 (~node9(s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1731, 88, 1728])).
% 7.52/5.19 tff(1733,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1734,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1735,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 7.52/5.19 tff(1736,plain,
% 7.52/5.19 (~node10(s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1735, 249, 1728])).
% 7.52/5.19 tff(1737,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1738,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1739,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 7.52/5.19 tff(1740,plain,
% 7.52/5.19 (~node8(s15)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1739, 271, 1728])).
% 7.52/5.19 tff(1741,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1742,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1743,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 7.52/5.19 tff(1744,plain,
% 7.52/5.19 (node14(s15, s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1743, 46, 1675])).
% 7.52/5.19 tff(1745,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1746,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1747,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 7.52/5.19 tff(1748,plain,
% 7.52/5.19 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | m_main_v_state2(s16, c_c2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1747, 617, 1744])).
% 7.52/5.19 tff(1749,plain,
% 7.52/5.19 (m_main_v_state2(s16, c_c2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1748, 1740, 1612, 1668, 1736, 1732])).
% 7.52/5.19 tff(1750,plain,
% 7.52/5.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1751,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1752,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 7.52/5.19 tff(1753,plain,
% 7.52/5.19 (~m_main_v_state2(s16, c_n2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1752, 697, 1749])).
% 7.52/5.19 tff(1754,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1755,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1756,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 7.52/5.19 tff(1757,plain,
% 7.52/5.19 (~node4(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1756, 388, 1753])).
% 7.52/5.19 tff(1758,plain,
% 7.52/5.19 (succ(s16, s17) <=> succ(s16, s17)),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1759,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 7.52/5.19 tff(1760,plain,
% 7.52/5.19 (succ(s16, s17)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 7.52/5.19 tff(1761,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1762,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1763,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 7.52/5.19 tff(1764,plain,
% 7.52/5.19 (trans(s16, s17)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1763, 1760, 32])).
% 7.52/5.19 tff(1765,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1766,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1767,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 7.52/5.19 tff(1768,plain,
% 7.52/5.19 (node7(s16, s17)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1767, 206, 1764])).
% 7.52/5.19 tff(1769,plain,
% 7.52/5.19 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1770,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1771,plain,
% 7.52/5.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 7.52/5.19 tff(1772,plain,
% 7.52/5.19 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1771, 820, 1768])).
% 7.52/5.19 tff(1773,plain,
% 7.52/5.19 (node6(s16, s17)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1772, 1757, 1721, 1717, 1713, 1709, 1692])).
% 7.52/5.19 tff(1774,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1775,plain,
% 7.52/5.19 (((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1)) <=> ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1776,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))))),
% 7.52/5.19 inference(monotonicity,[status(thm)],[1775])).
% 7.52/5.19 tff(1777,plain,
% 7.52/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 7.52/5.19 inference(transitivity,[status(thm)],[1776, 1774])).
% 7.52/5.19 tff(1778,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1779,plain,
% 7.52/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 7.52/5.19 tff(1780,plain,
% 7.52/5.19 (m_main_v_state1(s17, c_t1)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1779, 856, 1684, 1773])).
% 7.52/5.19 tff(1781,plain,
% 7.52/5.19 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1782,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1783,plain,
% 7.52/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 7.52/5.19 tff(1784,plain,
% 7.52/5.19 (~m_main_v_state2(s16, c_t2)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1783, 260, 1749])).
% 7.52/5.19 tff(1785,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1786,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1787,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 7.52/5.19 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 7.52/5.19 tff(1788,plain,
% 7.52/5.19 (~node12(s16)),
% 7.52/5.19 inference(unit_resolution,[status(thm)],[1787, 633, 1784])).
% 7.52/5.19 tff(1789,plain,
% 7.52/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 7.52/5.19 inference(rewrite,[status(thm)],[])).
% 7.52/5.19 tff(1790,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 7.52/5.19 inference(quant_inst,[status(thm)],[])).
% 7.52/5.19 tff(1791,plain,
% 7.52/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 7.52/5.20 tff(1792,plain,
% 7.52/5.20 (~node11(s16)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1791, 238, 1688])).
% 7.52/5.20 tff(1793,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1794,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1795,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 7.52/5.20 tff(1796,plain,
% 7.52/5.20 (~node10(s16)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1795, 675, 1721])).
% 7.52/5.20 tff(1797,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1798,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1799,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 7.52/5.20 tff(1800,plain,
% 7.52/5.20 (~node9(s16)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1799, 686, 1688])).
% 7.52/5.20 tff(1801,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1802,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1803,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 7.52/5.20 tff(1804,plain,
% 7.52/5.20 (~node8(s16)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1803, 271, 1753])).
% 7.52/5.20 tff(1805,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1806,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1807,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 7.52/5.20 tff(1808,plain,
% 7.52/5.20 (node14(s16, s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1807, 46, 1764])).
% 7.52/5.20 tff(1809,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1810,plain,
% 7.52/5.20 (((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2)) <=> (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1811,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))))),
% 7.52/5.20 inference(monotonicity,[status(thm)],[1810])).
% 7.52/5.20 tff(1812,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 7.52/5.20 inference(transitivity,[status(thm)],[1811, 1809])).
% 7.52/5.20 tff(1813,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1814,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 7.52/5.20 tff(1815,plain,
% 7.52/5.20 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1814, 726, 1808])).
% 7.52/5.20 tff(1816,plain,
% 7.52/5.20 (m_main_v_state2(s17, c_n2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1815, 1804, 1749, 1800, 1796, 1792, 1788])).
% 7.52/5.20 tff(1817,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1818,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1819,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 7.52/5.20 tff(1820,plain,
% 7.52/5.20 (~m_main_v_state2(s17, c_t2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1819, 77, 1816])).
% 7.52/5.20 tff(1821,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1822,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1823,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 7.52/5.20 tff(1824,plain,
% 7.52/5.20 (~node15(s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1823, 103, 1820])).
% 7.52/5.20 tff(1825,plain,
% 7.52/5.20 (succ(s17, s18) <=> succ(s17, s18)),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1826,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 7.52/5.20 tff(1827,plain,
% 7.52/5.20 (succ(s17, s18)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 7.52/5.20 tff(1828,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1829,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1830,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 7.52/5.20 tff(1831,plain,
% 7.52/5.20 (trans(s17, s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1830, 1827, 32])).
% 7.52/5.20 tff(1832,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1833,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1834,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 7.52/5.20 tff(1835,plain,
% 7.52/5.20 (node18(s17, s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1834, 125, 1831])).
% 7.52/5.20 tff(1836,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1837,plain,
% 7.52/5.20 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1)) <=> (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1838,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)))),
% 7.52/5.20 inference(monotonicity,[status(thm)],[1837])).
% 7.52/5.20 tff(1839,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 7.52/5.20 inference(transitivity,[status(thm)],[1838, 1836])).
% 7.52/5.20 tff(1840,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1841,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 7.52/5.20 tff(1842,plain,
% 7.52/5.20 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1841, 992, 1835])).
% 7.52/5.20 tff(1843,plain,
% 7.52/5.20 (m_main_v_turn(s18, c_1)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1842, 1824, 1816, 1780])).
% 7.52/5.20 tff(1844,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1845,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1846,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 7.52/5.20 tff(1847,plain,
% 7.52/5.20 (~m_main_v_turn(s18, c_2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1846, 156, 1843])).
% 7.52/5.20 tff(1848,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1849,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1850,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 7.52/5.20 tff(1851,plain,
% 7.52/5.20 (~node12(s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1850, 184, 1847])).
% 7.52/5.20 tff(1852,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1853,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1854,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 7.52/5.20 tff(1855,plain,
% 7.52/5.20 (node14(s17, s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1854, 46, 1831])).
% 7.52/5.20 tff(1856,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1857,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1858,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 7.52/5.20 tff(1859,plain,
% 7.52/5.20 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1858, 922, 1855])).
% 7.52/5.20 tff(1860,plain,
% 7.52/5.20 (m_main_v_state2(s18, c_t2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1859, 1780, 1816])).
% 7.52/5.20 tff(1861,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1862,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1863,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 7.52/5.20 tff(1864,plain,
% 7.52/5.20 (~m_main_v_state2(s18, c_n2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1863, 77, 1860])).
% 7.52/5.20 tff(1865,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1866,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1867,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 7.52/5.20 tff(1868,plain,
% 7.52/5.20 (~node8(s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1867, 271, 1864])).
% 7.52/5.20 tff(1869,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1870,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1871,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 7.52/5.20 tff(1872,plain,
% 7.52/5.20 (~node9(s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1871, 88, 1864])).
% 7.52/5.20 tff(1873,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1874,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1875,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 7.52/5.20 tff(1876,plain,
% 7.52/5.20 (~node10(s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1875, 249, 1864])).
% 7.52/5.20 tff(1877,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1878,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1879,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 7.52/5.20 tff(1880,plain,
% 7.52/5.20 (~m_main_v_state2(s18, c_c2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1879, 260, 1860])).
% 7.52/5.20 tff(1881,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1882,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1883,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 7.52/5.20 tff(1884,plain,
% 7.52/5.20 (~m_main_v_state2(s17, c_c2)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1883, 697, 1816])).
% 7.52/5.20 tff(1885,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1886,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1887,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 7.52/5.20 tff(1888,plain,
% 7.52/5.20 (~node3(s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1887, 399, 1884])).
% 7.52/5.20 tff(1889,plain,
% 7.52/5.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1890,plain,
% 7.52/5.20 (((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1))) <=> (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1891,plain,
% 7.52/5.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))))),
% 7.52/5.20 inference(monotonicity,[status(thm)],[1890])).
% 7.52/5.20 tff(1892,plain,
% 7.52/5.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 7.52/5.20 inference(transitivity,[status(thm)],[1891, 1889])).
% 7.52/5.20 tff(1893,plain,
% 7.52/5.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1894,plain,
% 7.52/5.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 7.52/5.20 tff(1895,plain,
% 7.52/5.20 (~m_main_v_state1(s17, c_n1)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1894, 835, 1688, 1773])).
% 7.52/5.20 tff(1896,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1897,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1898,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 7.52/5.20 tff(1899,plain,
% 7.52/5.20 (~node2(s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1898, 787, 1895])).
% 7.52/5.20 tff(1900,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1901,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1902,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 7.52/5.20 tff(1903,plain,
% 7.52/5.20 (~node1(s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1902, 195, 1820])).
% 7.52/5.20 tff(1904,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1905,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1906,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 7.52/5.20 tff(1907,plain,
% 7.52/5.20 (node7(s17, s18)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1906, 206, 1831])).
% 7.52/5.20 tff(1908,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1909,plain,
% 7.52/5.20 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1)) <=> ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1910,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))))),
% 7.52/5.20 inference(monotonicity,[status(thm)],[1909])).
% 7.52/5.20 tff(1911,plain,
% 7.52/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 7.52/5.20 inference(transitivity,[status(thm)],[1910, 1908])).
% 7.52/5.20 tff(1912,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1913,plain,
% 7.52/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 7.52/5.20 tff(1914,plain,
% 7.52/5.20 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1913, 892, 1907])).
% 7.52/5.20 tff(1915,plain,
% 7.52/5.20 (m_main_v_state1(s18, c_c1)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1914, 1903, 1816, 1780, 1899, 1888])).
% 7.52/5.20 tff(1916,plain,
% 7.52/5.20 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1917,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1918,plain,
% 7.52/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1))),
% 7.52/5.20 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 7.52/5.20 tff(1919,plain,
% 7.52/5.20 (~m_main_v_state1(s18, c_n1)),
% 7.52/5.20 inference(unit_resolution,[status(thm)],[1918, 454, 1915])).
% 7.52/5.20 tff(1920,plain,
% 7.52/5.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 7.52/5.20 inference(rewrite,[status(thm)],[])).
% 7.52/5.20 tff(1921,plain,
% 7.52/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 7.52/5.20 inference(quant_inst,[status(thm)],[])).
% 7.52/5.20 tff(1922,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 7.52/5.21 tff(1923,plain,
% 7.52/5.21 (~node11(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1922, 238, 1919])).
% 7.52/5.21 tff(1924,plain,
% 7.52/5.21 (succ(s18, s19) <=> succ(s18, s19)),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1925,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 7.52/5.21 tff(1926,plain,
% 7.52/5.21 (succ(s18, s19)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 7.52/5.21 tff(1927,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1928,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1929,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 7.52/5.21 tff(1930,plain,
% 7.52/5.21 (trans(s18, s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1929, 1926, 32])).
% 7.52/5.21 tff(1931,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1932,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1933,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 7.52/5.21 tff(1934,plain,
% 7.52/5.21 (node14(s18, s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1933, 46, 1930])).
% 7.52/5.21 tff(1935,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1936,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1937,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 7.52/5.21 tff(1938,plain,
% 7.52/5.21 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1937, 296, 1934])).
% 7.52/5.21 tff(1939,plain,
% 7.52/5.21 (node13(s18, s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1938, 1923, 1880, 1876, 1872, 1868, 1851])).
% 7.52/5.21 tff(1940,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1941,plain,
% 7.52/5.21 (((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2))) <=> (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1942,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))))),
% 7.52/5.21 inference(monotonicity,[status(thm)],[1941])).
% 7.52/5.21 tff(1943,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 7.52/5.21 inference(transitivity,[status(thm)],[1942, 1940])).
% 7.52/5.21 tff(1944,plain,
% 7.52/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1945,plain,
% 7.52/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 7.52/5.21 tff(1946,plain,
% 7.52/5.21 (~m_main_v_state2(s19, c_n2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1945, 311, 1864, 1939])).
% 7.52/5.21 tff(1947,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1948,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1949,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 7.52/5.21 tff(1950,plain,
% 7.52/5.21 (~node9(s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1949, 88, 1946])).
% 7.52/5.21 tff(1951,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1952,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1953,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 7.52/5.21 tff(1954,plain,
% 7.52/5.21 (~node10(s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1953, 249, 1946])).
% 7.52/5.21 tff(1955,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1956,plain,
% 7.52/5.21 (((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2)) <=> ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1957,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))))),
% 7.52/5.21 inference(monotonicity,[status(thm)],[1956])).
% 7.52/5.21 tff(1958,plain,
% 7.52/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 7.52/5.21 inference(transitivity,[status(thm)],[1957, 1955])).
% 7.52/5.21 tff(1959,plain,
% 7.52/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1960,plain,
% 7.52/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 7.52/5.21 tff(1961,plain,
% 7.52/5.21 (m_main_v_state2(s19, c_t2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1960, 518, 1860, 1939])).
% 7.52/5.21 tff(1962,plain,
% 7.52/5.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1963,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1964,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 7.52/5.21 tff(1965,plain,
% 7.52/5.21 (~m_main_v_state1(s18, c_t1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1964, 539, 1915])).
% 7.52/5.21 tff(1966,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1967,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1968,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 7.52/5.21 tff(1969,plain,
% 7.52/5.21 (~node5(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1968, 550, 1965])).
% 7.52/5.21 tff(1970,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1971,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1972,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 7.52/5.21 tff(1973,plain,
% 7.52/5.21 (~node4(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1972, 388, 1864])).
% 7.52/5.21 tff(1974,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1975,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1976,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 7.52/5.21 tff(1977,plain,
% 7.52/5.21 (~node3(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1976, 399, 1880])).
% 7.52/5.21 tff(1978,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1979,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1980,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 7.52/5.21 tff(1981,plain,
% 7.52/5.21 (~node2(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1980, 410, 1864])).
% 7.52/5.21 tff(1982,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1983,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1984,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 7.52/5.21 tff(1985,plain,
% 7.52/5.21 (~node1(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1984, 421, 1919])).
% 7.52/5.21 tff(1986,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1987,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1988,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 7.52/5.21 tff(1989,plain,
% 7.52/5.21 (node7(s18, s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1988, 206, 1930])).
% 7.52/5.21 tff(1990,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1991,plain,
% 7.52/5.21 (((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1)) <=> (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1992,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))))),
% 7.52/5.21 inference(monotonicity,[status(thm)],[1991])).
% 7.52/5.21 tff(1993,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 7.52/5.21 inference(transitivity,[status(thm)],[1992, 1990])).
% 7.52/5.21 tff(1994,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(1995,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 7.52/5.21 tff(1996,plain,
% 7.52/5.21 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1995, 584, 1989])).
% 7.52/5.21 tff(1997,plain,
% 7.52/5.21 (m_main_v_state1(s19, c_n1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[1996, 1985, 1915, 1981, 1977, 1973, 1969])).
% 7.52/5.21 tff(1998,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(1999,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2000,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 7.52/5.21 tff(2001,plain,
% 7.52/5.21 (~node8(s19)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2000, 271, 1946])).
% 7.52/5.21 tff(2002,plain,
% 7.52/5.21 (succ(s19, s20) <=> succ(s19, s20)),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2003,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 7.52/5.21 tff(2004,plain,
% 7.52/5.21 (succ(s19, s20)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 7.52/5.21 tff(2005,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2006,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2007,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 7.52/5.21 tff(2008,plain,
% 7.52/5.21 (trans(s19, s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2007, 2004, 32])).
% 7.52/5.21 tff(2009,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2010,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2011,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 7.52/5.21 tff(2012,plain,
% 7.52/5.21 (node14(s19, s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2011, 46, 2008])).
% 7.52/5.21 tff(2013,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2014,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2015,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 7.52/5.21 tff(2016,plain,
% 7.52/5.21 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | m_main_v_state2(s20, c_c2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2015, 617, 2012])).
% 7.52/5.21 tff(2017,plain,
% 7.52/5.21 (m_main_v_state2(s20, c_c2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2016, 2001, 1997, 1961, 1954, 1950])).
% 7.52/5.21 tff(2018,plain,
% 7.52/5.21 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2019,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2020,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 7.52/5.21 tff(2021,plain,
% 7.52/5.21 (~m_main_v_state2(s20, c_t2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2020, 260, 2017])).
% 7.52/5.21 tff(2022,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2023,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2024,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 7.52/5.21 tff(2025,plain,
% 7.52/5.21 (~node12(s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2024, 633, 2021])).
% 7.52/5.21 tff(2026,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2027,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2028,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 7.52/5.21 tff(2029,plain,
% 7.52/5.21 (node7(s19, s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2028, 206, 2008])).
% 7.52/5.21 tff(2030,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2031,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2032,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 7.52/5.21 tff(2033,plain,
% 7.52/5.21 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2032, 651, 2029])).
% 7.52/5.21 tff(2034,plain,
% 7.52/5.21 (m_main_v_state1(s20, c_t1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2033, 1961, 1997])).
% 7.52/5.21 tff(2035,plain,
% 7.52/5.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2036,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2037,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 7.52/5.21 tff(2038,plain,
% 7.52/5.21 (~m_main_v_state1(s20, c_n1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2037, 10, 2034])).
% 7.52/5.21 tff(2039,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2040,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2041,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 7.52/5.21 tff(2042,plain,
% 7.52/5.21 (~node11(s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2041, 238, 2038])).
% 7.52/5.21 tff(2043,plain,
% 7.52/5.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2044,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2045,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 7.52/5.21 tff(2046,plain,
% 7.52/5.21 (~m_main_v_state1(s20, c_c1)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2045, 539, 2034])).
% 7.52/5.21 tff(2047,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2048,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2049,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 7.52/5.21 tff(2050,plain,
% 7.52/5.21 (~node10(s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2049, 675, 2046])).
% 7.52/5.21 tff(2051,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2052,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2053,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 7.52/5.21 tff(2054,plain,
% 7.52/5.21 (~node9(s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2053, 686, 2038])).
% 7.52/5.21 tff(2055,plain,
% 7.52/5.21 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2056,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2057,plain,
% 7.52/5.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 7.52/5.21 tff(2058,plain,
% 7.52/5.21 (~m_main_v_state2(s20, c_n2)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2057, 697, 2017])).
% 7.52/5.21 tff(2059,plain,
% 7.52/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2060,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2061,plain,
% 7.52/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 7.52/5.21 tff(2062,plain,
% 7.52/5.21 (~node8(s20)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2061, 271, 2058])).
% 7.52/5.21 tff(2063,plain,
% 7.52/5.21 (succ(s20, s21) <=> succ(s20, s21)),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2064,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 7.52/5.21 tff(2065,plain,
% 7.52/5.21 (succ(s20, s21)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 7.52/5.21 tff(2066,plain,
% 7.52/5.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21))),
% 7.52/5.21 inference(rewrite,[status(thm)],[])).
% 7.52/5.21 tff(2067,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 7.52/5.21 inference(quant_inst,[status(thm)],[])).
% 7.52/5.21 tff(2068,plain,
% 7.52/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 7.52/5.21 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 7.52/5.21 tff(2069,plain,
% 7.52/5.21 (trans(s20, s21)),
% 7.52/5.21 inference(unit_resolution,[status(thm)],[2068, 2065, 32])).
% 7.52/5.22 tff(2070,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2071,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2072,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 7.52/5.22 tff(2073,plain,
% 7.52/5.22 (node14(s20, s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2072, 46, 2069])).
% 7.52/5.22 tff(2074,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2075,plain,
% 7.52/5.22 (((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2)) <=> (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2076,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))))),
% 7.52/5.22 inference(monotonicity,[status(thm)],[2075])).
% 7.52/5.22 tff(2077,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 7.52/5.22 inference(transitivity,[status(thm)],[2076, 2074])).
% 7.52/5.22 tff(2078,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2079,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 7.52/5.22 tff(2080,plain,
% 7.52/5.22 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2079, 726, 2073])).
% 7.52/5.22 tff(2081,plain,
% 7.52/5.22 (m_main_v_state2(s21, c_n2)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2080, 2062, 2017, 2054, 2050, 2042, 2025])).
% 7.52/5.22 tff(2082,plain,
% 7.52/5.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2083,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2084,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 7.52/5.22 tff(2085,plain,
% 7.52/5.22 (~m_main_v_state2(s21, c_c2)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2084, 697, 2081])).
% 7.52/5.22 tff(2086,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2087,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2088,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 7.52/5.22 tff(2089,plain,
% 7.52/5.22 (~node3(s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2088, 399, 2085])).
% 7.52/5.22 tff(2090,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2091,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2092,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 7.52/5.22 tff(2093,plain,
% 7.52/5.22 (~node1(s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2092, 421, 2038])).
% 7.52/5.22 tff(2094,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2095,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2096,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 7.52/5.22 tff(2097,plain,
% 7.52/5.22 (node18(s19, s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2096, 125, 2008])).
% 7.52/5.22 tff(2098,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2099,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2100,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 7.52/5.22 tff(2101,plain,
% 7.52/5.22 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2100, 760, 2097])).
% 7.52/5.22 tff(2102,plain,
% 7.52/5.22 (m_main_v_turn(s20, c_2)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2101, 1961, 1997])).
% 7.52/5.22 tff(2103,plain,
% 7.52/5.22 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2104,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2105,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 7.52/5.22 tff(2106,plain,
% 7.52/5.22 (~m_main_v_turn(s20, c_1)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2105, 156, 2102])).
% 7.52/5.22 tff(2107,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2108,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2109,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 7.52/5.22 tff(2110,plain,
% 7.52/5.22 (~node5(s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2109, 776, 2106])).
% 7.52/5.22 tff(2111,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2112,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2113,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 7.52/5.22 tff(2114,plain,
% 7.52/5.22 (~node2(s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2113, 787, 2038])).
% 7.52/5.22 tff(2115,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2116,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2117,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 7.52/5.22 tff(2118,plain,
% 7.52/5.22 (~node3(s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2117, 798, 2038])).
% 7.52/5.22 tff(2119,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2120,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2121,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 7.52/5.22 tff(2122,plain,
% 7.52/5.22 (~node4(s20)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2121, 388, 2058])).
% 7.52/5.22 tff(2123,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2124,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2125,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 7.52/5.22 tff(2126,plain,
% 7.52/5.22 (node7(s20, s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2125, 206, 2069])).
% 7.52/5.22 tff(2127,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2128,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2129,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 7.52/5.22 tff(2130,plain,
% 7.52/5.22 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2129, 820, 2126])).
% 7.52/5.22 tff(2131,plain,
% 7.52/5.22 (node6(s20, s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2130, 2122, 2046, 2118, 2114, 2110, 2093])).
% 7.52/5.22 tff(2132,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2133,plain,
% 7.52/5.22 (((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1))) <=> (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2134,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))))),
% 7.52/5.22 inference(monotonicity,[status(thm)],[2133])).
% 7.52/5.22 tff(2135,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 7.52/5.22 inference(transitivity,[status(thm)],[2134, 2132])).
% 7.52/5.22 tff(2136,plain,
% 7.52/5.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2137,plain,
% 7.52/5.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 7.52/5.22 tff(2138,plain,
% 7.52/5.22 (~m_main_v_state1(s21, c_n1)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2137, 835, 2038, 2131])).
% 7.52/5.22 tff(2139,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2140,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2141,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 7.52/5.22 tff(2142,plain,
% 7.52/5.22 (~node2(s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2141, 787, 2138])).
% 7.52/5.22 tff(2143,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2144,plain,
% 7.52/5.22 (((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1)) <=> ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2145,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))))),
% 7.52/5.22 inference(monotonicity,[status(thm)],[2144])).
% 7.52/5.22 tff(2146,plain,
% 7.52/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 7.52/5.22 inference(transitivity,[status(thm)],[2145, 2143])).
% 7.52/5.22 tff(2147,plain,
% 7.52/5.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2148,plain,
% 7.52/5.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 7.52/5.22 tff(2149,plain,
% 7.52/5.22 (m_main_v_state1(s21, c_t1)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2148, 856, 2034, 2131])).
% 7.52/5.22 tff(2150,plain,
% 7.52/5.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2151,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2152,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 7.52/5.22 tff(2153,plain,
% 7.52/5.22 (~m_main_v_state2(s21, c_t2)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2152, 77, 2081])).
% 7.52/5.22 tff(2154,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2155,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2156,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 7.52/5.22 tff(2157,plain,
% 7.52/5.22 (~node1(s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2156, 195, 2153])).
% 7.52/5.22 tff(2158,plain,
% 7.52/5.22 (succ(s21, s22) <=> succ(s21, s22)),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2159,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 7.52/5.22 tff(2160,plain,
% 7.52/5.22 (succ(s21, s22)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 7.52/5.22 tff(2161,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2162,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2163,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 7.52/5.22 tff(2164,plain,
% 7.52/5.22 (trans(s21, s22)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2163, 2160, 32])).
% 7.52/5.22 tff(2165,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2166,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2167,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 7.52/5.22 tff(2168,plain,
% 7.52/5.22 (node7(s21, s22)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2167, 206, 2164])).
% 7.52/5.22 tff(2169,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2170,plain,
% 7.52/5.22 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1)) <=> ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2171,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))))),
% 7.52/5.22 inference(monotonicity,[status(thm)],[2170])).
% 7.52/5.22 tff(2172,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 7.52/5.22 inference(transitivity,[status(thm)],[2171, 2169])).
% 7.52/5.22 tff(2173,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2174,plain,
% 7.52/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 7.52/5.22 tff(2175,plain,
% 7.52/5.22 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2174, 892, 2168])).
% 7.52/5.22 tff(2176,plain,
% 7.52/5.22 (m_main_v_state1(s22, c_c1)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2175, 2157, 2081, 2149, 2142, 2089])).
% 7.52/5.22 tff(2177,plain,
% 7.52/5.22 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2178,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2179,plain,
% 7.52/5.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 7.52/5.22 tff(2180,plain,
% 7.52/5.22 (~m_main_v_state1(s22, c_t1)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2179, 539, 2176])).
% 7.52/5.22 tff(2181,plain,
% 7.52/5.22 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.22 tff(2182,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 7.52/5.22 inference(quant_inst,[status(thm)],[])).
% 7.52/5.22 tff(2183,plain,
% 7.52/5.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 7.52/5.22 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 7.52/5.22 tff(2184,plain,
% 7.52/5.22 (~node5(s22)),
% 7.52/5.22 inference(unit_resolution,[status(thm)],[2183, 550, 2180])).
% 7.52/5.22 tff(2185,plain,
% 7.52/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22))),
% 7.52/5.22 inference(rewrite,[status(thm)],[])).
% 7.52/5.23 tff(2186,plain,
% 7.52/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 7.52/5.23 inference(quant_inst,[status(thm)],[])).
% 7.52/5.23 tff(2187,plain,
% 7.52/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 7.52/5.23 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 7.52/5.23 tff(2188,plain,
% 7.52/5.23 (node14(s21, s22)),
% 7.52/5.23 inference(unit_resolution,[status(thm)],[2187, 46, 2164])).
% 7.52/5.23 tff(2189,plain,
% 7.52/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 7.52/5.23 inference(rewrite,[status(thm)],[])).
% 7.52/5.23 tff(2190,plain,
% 7.52/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 7.52/5.23 inference(quant_inst,[status(thm)],[])).
% 7.52/5.23 tff(2191,plain,
% 7.52/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2)),
% 7.52/5.23 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 7.52/5.23 tff(2192,plain,
% 7.52/5.23 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 7.52/5.23 inference(unit_resolution,[status(thm)],[2191, 922, 2188])).
% 7.52/5.23 tff(2193,plain,
% 7.52/5.23 (m_main_v_state2(s22, c_t2)),
% 7.52/5.23 inference(unit_resolution,[status(thm)],[2192, 2149, 2081])).
% 7.52/5.23 tff(2194,plain,
% 7.52/5.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 7.52/5.23 inference(rewrite,[status(thm)],[])).
% 7.52/5.23 tff(2195,plain,
% 7.52/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 7.52/5.23 inference(quant_inst,[status(thm)],[])).
% 7.52/5.23 tff(2196,plain,
% 7.52/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2))),
% 7.52/5.23 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 7.52/5.23 tff(2197,plain,
% 7.52/5.23 (~m_main_v_state2(s22, c_n2)),
% 7.52/5.23 inference(unit_resolution,[status(thm)],[2196, 77, 2193])).
% 7.52/5.23 tff(2198,plain,
% 7.52/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 7.52/5.23 inference(rewrite,[status(thm)],[])).
% 7.52/5.23 tff(2199,plain,
% 7.52/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 7.52/5.23 inference(quant_inst,[status(thm)],[])).
% 7.52/5.23 tff(2200,plain,
% 7.52/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 7.52/5.23 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 7.52/5.23 tff(2201,plain,
% 7.52/5.23 (~node4(s22)),
% 7.52/5.23 inference(unit_resolution,[status(thm)],[2200, 388, 2197])).
% 7.52/5.23 tff(2202,plain,
% 7.52/5.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 7.52/5.23 inference(rewrite,[status(thm)],[])).
% 7.52/5.23 tff(2203,plain,
% 7.52/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 7.52/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2204,plain,
% 7.60/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 7.60/5.23 tff(2205,plain,
% 7.60/5.23 (~m_main_v_state2(s22, c_c2)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2204, 260, 2193])).
% 7.60/5.23 tff(2206,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2207,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2208,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 7.60/5.23 tff(2209,plain,
% 7.60/5.23 (~node3(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2208, 399, 2205])).
% 7.60/5.23 tff(2210,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2211,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2212,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 7.60/5.23 tff(2213,plain,
% 7.60/5.23 (~node2(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2212, 410, 2197])).
% 7.60/5.23 tff(2214,plain,
% 7.60/5.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2215,plain,
% 7.60/5.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2216,plain,
% 7.60/5.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 7.60/5.23 tff(2217,plain,
% 7.60/5.23 (~m_main_v_state1(s22, c_n1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2216, 454, 2176])).
% 7.60/5.23 tff(2218,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2219,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2220,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 7.60/5.23 tff(2221,plain,
% 7.60/5.23 (~node1(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2220, 421, 2217])).
% 7.60/5.23 tff(2222,plain,
% 7.60/5.23 (succ(s22, s23) <=> succ(s22, s23)),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2223,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 7.60/5.23 tff(2224,plain,
% 7.60/5.23 (succ(s22, s23)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 7.60/5.23 tff(2225,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2226,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2227,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 7.60/5.23 tff(2228,plain,
% 7.60/5.23 (trans(s22, s23)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2227, 2224, 32])).
% 7.60/5.23 tff(2229,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2230,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2231,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 7.60/5.23 tff(2232,plain,
% 7.60/5.23 (node7(s22, s23)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2231, 206, 2228])).
% 7.60/5.23 tff(2233,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2234,plain,
% 7.60/5.23 (((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1)) <=> (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2235,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))))),
% 7.60/5.23 inference(monotonicity,[status(thm)],[2234])).
% 7.60/5.23 tff(2236,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 7.60/5.23 inference(transitivity,[status(thm)],[2235, 2233])).
% 7.60/5.23 tff(2237,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2238,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 7.60/5.23 tff(2239,plain,
% 7.60/5.23 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2238, 584, 2232])).
% 7.60/5.23 tff(2240,plain,
% 7.60/5.23 (m_main_v_state1(s23, c_n1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2239, 2221, 2176, 2213, 2209, 2201, 2184])).
% 7.60/5.23 tff(2241,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2242,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2243,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 7.60/5.23 tff(2244,plain,
% 7.60/5.23 (~node15(s21)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2243, 103, 2153])).
% 7.60/5.23 tff(2245,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2246,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2247,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 7.60/5.23 tff(2248,plain,
% 7.60/5.23 (node18(s21, s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2247, 125, 2164])).
% 7.60/5.23 tff(2249,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2250,plain,
% 7.60/5.23 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1)) <=> (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2251,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)))),
% 7.60/5.23 inference(monotonicity,[status(thm)],[2250])).
% 7.60/5.23 tff(2252,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 7.60/5.23 inference(transitivity,[status(thm)],[2251, 2249])).
% 7.60/5.23 tff(2253,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2254,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 7.60/5.23 tff(2255,plain,
% 7.60/5.23 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2254, 992, 2248])).
% 7.60/5.23 tff(2256,plain,
% 7.60/5.23 (m_main_v_turn(s22, c_1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2255, 2244, 2081, 2149])).
% 7.60/5.23 tff(2257,plain,
% 7.60/5.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2258,plain,
% 7.60/5.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2259,plain,
% 7.60/5.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 7.60/5.23 tff(2260,plain,
% 7.60/5.23 (~m_main_v_turn(s22, c_2)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2259, 156, 2256])).
% 7.60/5.23 tff(2261,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2262,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2263,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 7.60/5.23 tff(2264,plain,
% 7.60/5.23 (~node12(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2263, 184, 2260])).
% 7.60/5.23 tff(2265,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2266,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2267,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 7.60/5.23 tff(2268,plain,
% 7.60/5.23 (~node8(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2267, 271, 2197])).
% 7.60/5.23 tff(2269,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2270,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2271,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 7.60/5.23 tff(2272,plain,
% 7.60/5.23 (~node9(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2271, 88, 2197])).
% 7.60/5.23 tff(2273,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2274,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2275,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 7.60/5.23 tff(2276,plain,
% 7.60/5.23 (~node10(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2275, 249, 2197])).
% 7.60/5.23 tff(2277,plain,
% 7.60/5.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2278,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2279,plain,
% 7.60/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 7.60/5.23 tff(2280,plain,
% 7.60/5.23 (~node11(s22)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2279, 238, 2217])).
% 7.60/5.23 tff(2281,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2282,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2283,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 7.60/5.23 tff(2284,plain,
% 7.60/5.23 (node14(s22, s23)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2283, 46, 2228])).
% 7.60/5.23 tff(2285,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2286,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2287,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 7.60/5.23 tff(2288,plain,
% 7.60/5.23 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2287, 296, 2284])).
% 7.60/5.23 tff(2289,plain,
% 7.60/5.23 (node13(s22, s23)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2288, 2280, 2205, 2276, 2272, 2268, 2264])).
% 7.60/5.23 tff(2290,plain,
% 7.60/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2291,plain,
% 7.60/5.23 (((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2)) <=> ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2292,plain,
% 7.60/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))))),
% 7.60/5.23 inference(monotonicity,[status(thm)],[2291])).
% 7.60/5.23 tff(2293,plain,
% 7.60/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 7.60/5.23 inference(transitivity,[status(thm)],[2292, 2290])).
% 7.60/5.23 tff(2294,plain,
% 7.60/5.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2295,plain,
% 7.60/5.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 7.60/5.23 tff(2296,plain,
% 7.60/5.23 (m_main_v_state2(s23, c_t2)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2295, 518, 2193, 2289])).
% 7.60/5.23 tff(2297,plain,
% 7.60/5.23 (succ(s23, s24) <=> succ(s23, s24)),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2298,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 7.60/5.23 tff(2299,plain,
% 7.60/5.23 (succ(s23, s24)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 7.60/5.23 tff(2300,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2301,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2302,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 7.60/5.23 tff(2303,plain,
% 7.60/5.23 (trans(s23, s24)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2302, 2299, 32])).
% 7.60/5.23 tff(2304,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2305,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2306,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 7.60/5.23 tff(2307,plain,
% 7.60/5.23 (node7(s23, s24)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2306, 206, 2303])).
% 7.60/5.23 tff(2308,plain,
% 7.60/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 7.60/5.23 inference(rewrite,[status(thm)],[])).
% 7.60/5.23 tff(2309,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 7.60/5.23 inference(quant_inst,[status(thm)],[])).
% 7.60/5.23 tff(2310,plain,
% 7.60/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1)),
% 7.60/5.23 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 7.60/5.23 tff(2311,plain,
% 7.60/5.23 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2310, 651, 2307])).
% 7.60/5.23 tff(2312,plain,
% 7.60/5.23 (m_main_v_state1(s24, c_t1)),
% 7.60/5.23 inference(unit_resolution,[status(thm)],[2311, 2296, 2240])).
% 7.60/5.23 tff(2313,plain,
% 7.60/5.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2314,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2315,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 7.60/5.24 tff(2316,plain,
% 7.60/5.24 (~m_main_v_state1(s24, c_n1)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2315, 10, 2312])).
% 7.60/5.24 tff(2317,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2318,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2319,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 7.60/5.24 tff(2320,plain,
% 7.60/5.24 (~node1(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2319, 421, 2316])).
% 7.60/5.24 tff(2321,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2322,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2323,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 7.60/5.24 tff(2324,plain,
% 7.60/5.24 (node18(s23, s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2323, 125, 2303])).
% 7.60/5.24 tff(2325,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2326,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2327,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 7.60/5.24 tff(2328,plain,
% 7.60/5.24 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2327, 760, 2324])).
% 7.60/5.24 tff(2329,plain,
% 7.60/5.24 (m_main_v_turn(s24, c_2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2328, 2296, 2240])).
% 7.60/5.24 tff(2330,plain,
% 7.60/5.24 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2331,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2332,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 7.60/5.24 tff(2333,plain,
% 7.60/5.24 (~m_main_v_turn(s24, c_1)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2332, 156, 2329])).
% 7.60/5.24 tff(2334,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2335,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2336,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 7.60/5.24 tff(2337,plain,
% 7.60/5.24 (~node5(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2336, 776, 2333])).
% 7.60/5.24 tff(2338,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2339,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2340,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 7.60/5.24 tff(2341,plain,
% 7.60/5.24 (~node2(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2340, 787, 2316])).
% 7.60/5.24 tff(2342,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2343,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2344,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 7.60/5.24 tff(2345,plain,
% 7.60/5.24 (~node3(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2344, 798, 2316])).
% 7.60/5.24 tff(2346,plain,
% 7.60/5.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2347,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2348,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 7.60/5.24 tff(2349,plain,
% 7.60/5.24 (~m_main_v_state1(s24, c_c1)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2348, 539, 2312])).
% 7.60/5.24 tff(2350,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2351,plain,
% 7.60/5.24 (((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2))) <=> (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2352,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))))),
% 7.60/5.24 inference(monotonicity,[status(thm)],[2351])).
% 7.60/5.24 tff(2353,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 7.60/5.24 inference(transitivity,[status(thm)],[2352, 2350])).
% 7.60/5.24 tff(2354,plain,
% 7.60/5.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2355,plain,
% 7.60/5.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 7.60/5.24 tff(2356,plain,
% 7.60/5.24 (~m_main_v_state2(s23, c_n2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2355, 311, 2197, 2289])).
% 7.60/5.24 tff(2357,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2358,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2359,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 7.60/5.24 tff(2360,plain,
% 7.60/5.24 (~node9(s23)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2359, 88, 2356])).
% 7.60/5.24 tff(2361,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2362,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2363,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 7.60/5.24 tff(2364,plain,
% 7.60/5.24 (~node10(s23)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2363, 249, 2356])).
% 7.60/5.24 tff(2365,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2366,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2367,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 7.60/5.24 tff(2368,plain,
% 7.60/5.24 (~node8(s23)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2367, 271, 2356])).
% 7.60/5.24 tff(2369,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2370,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2371,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 7.60/5.24 tff(2372,plain,
% 7.60/5.24 (node14(s23, s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2371, 46, 2303])).
% 7.60/5.24 tff(2373,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2374,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2375,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 7.60/5.24 tff(2376,plain,
% 7.60/5.24 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | m_main_v_state2(s24, c_c2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2375, 617, 2372])).
% 7.60/5.24 tff(2377,plain,
% 7.60/5.24 (m_main_v_state2(s24, c_c2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2376, 2368, 2240, 2296, 2364, 2360])).
% 7.60/5.24 tff(2378,plain,
% 7.60/5.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2379,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2380,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 7.60/5.24 tff(2381,plain,
% 7.60/5.24 (~m_main_v_state2(s24, c_n2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2380, 697, 2377])).
% 7.60/5.24 tff(2382,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2383,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2384,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 7.60/5.24 tff(2385,plain,
% 7.60/5.24 (~node4(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2384, 388, 2381])).
% 7.60/5.24 tff(2386,plain,
% 7.60/5.24 (succ(s24, s25) <=> succ(s24, s25)),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2387,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 7.60/5.24 tff(2388,plain,
% 7.60/5.24 (succ(s24, s25)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 7.60/5.24 tff(2389,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2390,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2391,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 7.60/5.24 tff(2392,plain,
% 7.60/5.24 (trans(s24, s25)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2391, 2388, 32])).
% 7.60/5.24 tff(2393,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2394,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2395,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 7.60/5.24 tff(2396,plain,
% 7.60/5.24 (node7(s24, s25)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2395, 206, 2392])).
% 7.60/5.24 tff(2397,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2398,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2399,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 7.60/5.24 tff(2400,plain,
% 7.60/5.24 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2399, 820, 2396])).
% 7.60/5.24 tff(2401,plain,
% 7.60/5.24 (node6(s24, s25)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2400, 2385, 2349, 2345, 2341, 2337, 2320])).
% 7.60/5.24 tff(2402,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2403,plain,
% 7.60/5.24 (((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1)) <=> ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2404,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))))),
% 7.60/5.24 inference(monotonicity,[status(thm)],[2403])).
% 7.60/5.24 tff(2405,plain,
% 7.60/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 7.60/5.24 inference(transitivity,[status(thm)],[2404, 2402])).
% 7.60/5.24 tff(2406,plain,
% 7.60/5.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2407,plain,
% 7.60/5.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 7.60/5.24 tff(2408,plain,
% 7.60/5.24 (m_main_v_state1(s25, c_t1)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2407, 856, 2312, 2401])).
% 7.60/5.24 tff(2409,plain,
% 7.60/5.24 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2410,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2411,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 7.60/5.24 tff(2412,plain,
% 7.60/5.24 (~m_main_v_state2(s24, c_t2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2411, 260, 2377])).
% 7.60/5.24 tff(2413,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2414,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2415,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 7.60/5.24 tff(2416,plain,
% 7.60/5.24 (~node12(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2415, 633, 2412])).
% 7.60/5.24 tff(2417,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2418,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2419,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 7.60/5.24 tff(2420,plain,
% 7.60/5.24 (~node11(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2419, 238, 2316])).
% 7.60/5.24 tff(2421,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2422,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2423,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 7.60/5.24 tff(2424,plain,
% 7.60/5.24 (~node10(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2423, 675, 2349])).
% 7.60/5.24 tff(2425,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2426,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2427,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 7.60/5.24 tff(2428,plain,
% 7.60/5.24 (~node9(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2427, 686, 2316])).
% 7.60/5.24 tff(2429,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2430,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2431,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 7.60/5.24 tff(2432,plain,
% 7.60/5.24 (~node8(s24)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2431, 271, 2381])).
% 7.60/5.24 tff(2433,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2434,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2435,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 7.60/5.24 tff(2436,plain,
% 7.60/5.24 (node14(s24, s25)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2435, 46, 2392])).
% 7.60/5.24 tff(2437,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2438,plain,
% 7.60/5.24 (((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2)) <=> (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2439,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))))),
% 7.60/5.24 inference(monotonicity,[status(thm)],[2438])).
% 7.60/5.24 tff(2440,plain,
% 7.60/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 7.60/5.24 inference(transitivity,[status(thm)],[2439, 2437])).
% 7.60/5.24 tff(2441,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2442,plain,
% 7.60/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 7.60/5.24 tff(2443,plain,
% 7.60/5.24 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2442, 726, 2436])).
% 7.60/5.24 tff(2444,plain,
% 7.60/5.24 (m_main_v_state2(s25, c_n2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2443, 2432, 2377, 2428, 2424, 2420, 2416])).
% 7.60/5.24 tff(2445,plain,
% 7.60/5.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2446,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2447,plain,
% 7.60/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 7.60/5.24 tff(2448,plain,
% 7.60/5.24 (~m_main_v_state2(s25, c_t2)),
% 7.60/5.24 inference(unit_resolution,[status(thm)],[2447, 77, 2444])).
% 7.60/5.24 tff(2449,plain,
% 7.60/5.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 7.60/5.24 inference(rewrite,[status(thm)],[])).
% 7.60/5.24 tff(2450,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 7.60/5.24 inference(quant_inst,[status(thm)],[])).
% 7.60/5.24 tff(2451,plain,
% 7.60/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 7.60/5.24 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 7.60/5.24 tff(2452,plain,
% 7.60/5.25 (~node15(s25)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2451, 103, 2448])).
% 7.60/5.25 tff(2453,plain,
% 7.60/5.25 (succ(s25, s26) <=> succ(s25, s26)),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2454,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 7.60/5.25 tff(2455,plain,
% 7.60/5.25 (succ(s25, s26)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 7.60/5.25 tff(2456,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2457,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2458,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 7.60/5.25 tff(2459,plain,
% 7.60/5.25 (trans(s25, s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2458, 2455, 32])).
% 7.60/5.25 tff(2460,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2461,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2462,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 7.60/5.25 tff(2463,plain,
% 7.60/5.25 (node18(s25, s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2462, 125, 2459])).
% 7.60/5.25 tff(2464,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2465,plain,
% 7.60/5.25 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1)) <=> (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2466,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)))),
% 7.60/5.25 inference(monotonicity,[status(thm)],[2465])).
% 7.60/5.25 tff(2467,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 7.60/5.25 inference(transitivity,[status(thm)],[2466, 2464])).
% 7.60/5.25 tff(2468,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2469,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 7.60/5.25 tff(2470,plain,
% 7.60/5.25 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2469, 992, 2463])).
% 7.60/5.25 tff(2471,plain,
% 7.60/5.25 (m_main_v_turn(s26, c_1)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2470, 2452, 2444, 2408])).
% 7.60/5.25 tff(2472,plain,
% 7.60/5.25 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2473,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2474,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 7.60/5.25 tff(2475,plain,
% 7.60/5.25 (~m_main_v_turn(s26, c_2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2474, 156, 2471])).
% 7.60/5.25 tff(2476,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2477,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2478,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 7.60/5.25 tff(2479,plain,
% 7.60/5.25 (~node12(s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2478, 184, 2475])).
% 7.60/5.25 tff(2480,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2481,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2482,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 7.60/5.25 tff(2483,plain,
% 7.60/5.25 (node14(s25, s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2482, 46, 2459])).
% 7.60/5.25 tff(2484,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2485,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2486,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 7.60/5.25 tff(2487,plain,
% 7.60/5.25 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2486, 922, 2483])).
% 7.60/5.25 tff(2488,plain,
% 7.60/5.25 (m_main_v_state2(s26, c_t2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2487, 2408, 2444])).
% 7.60/5.25 tff(2489,plain,
% 7.60/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2490,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2491,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 7.60/5.25 tff(2492,plain,
% 7.60/5.25 (~m_main_v_state2(s26, c_n2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2491, 77, 2488])).
% 7.60/5.25 tff(2493,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2494,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2495,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 7.60/5.25 tff(2496,plain,
% 7.60/5.25 (~node8(s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2495, 271, 2492])).
% 7.60/5.25 tff(2497,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2498,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2499,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 7.60/5.25 tff(2500,plain,
% 7.60/5.25 (~node9(s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2499, 88, 2492])).
% 7.60/5.25 tff(2501,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2502,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2503,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 7.60/5.25 tff(2504,plain,
% 7.60/5.25 (~node10(s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2503, 249, 2492])).
% 7.60/5.25 tff(2505,plain,
% 7.60/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2506,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2507,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 7.60/5.25 tff(2508,plain,
% 7.60/5.25 (~m_main_v_state2(s26, c_c2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2507, 260, 2488])).
% 7.60/5.25 tff(2509,plain,
% 7.60/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2510,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2511,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 7.60/5.25 tff(2512,plain,
% 7.60/5.25 (~m_main_v_state2(s25, c_c2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2511, 697, 2444])).
% 7.60/5.25 tff(2513,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2514,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2515,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 7.60/5.25 tff(2516,plain,
% 7.60/5.25 (~node3(s25)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2515, 399, 2512])).
% 7.60/5.25 tff(2517,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2518,plain,
% 7.60/5.25 (((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1))) <=> (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2519,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))))),
% 7.60/5.25 inference(monotonicity,[status(thm)],[2518])).
% 7.60/5.25 tff(2520,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 7.60/5.25 inference(transitivity,[status(thm)],[2519, 2517])).
% 7.60/5.25 tff(2521,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2522,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 7.60/5.25 tff(2523,plain,
% 7.60/5.25 (~m_main_v_state1(s25, c_n1)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2522, 835, 2316, 2401])).
% 7.60/5.25 tff(2524,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2525,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2526,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 7.60/5.25 tff(2527,plain,
% 7.60/5.25 (~node2(s25)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2526, 787, 2523])).
% 7.60/5.25 tff(2528,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2529,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2530,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 7.60/5.25 tff(2531,plain,
% 7.60/5.25 (~node1(s25)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2530, 195, 2448])).
% 7.60/5.25 tff(2532,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2533,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2534,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 7.60/5.25 tff(2535,plain,
% 7.60/5.25 (node7(s25, s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2534, 206, 2459])).
% 7.60/5.25 tff(2536,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2537,plain,
% 7.60/5.25 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1)) <=> ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2538,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))))),
% 7.60/5.25 inference(monotonicity,[status(thm)],[2537])).
% 7.60/5.25 tff(2539,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 7.60/5.25 inference(transitivity,[status(thm)],[2538, 2536])).
% 7.60/5.25 tff(2540,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2541,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 7.60/5.25 tff(2542,plain,
% 7.60/5.25 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2541, 892, 2535])).
% 7.60/5.25 tff(2543,plain,
% 7.60/5.25 (m_main_v_state1(s26, c_c1)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2542, 2531, 2444, 2408, 2527, 2516])).
% 7.60/5.25 tff(2544,plain,
% 7.60/5.25 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2545,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2546,plain,
% 7.60/5.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 7.60/5.25 tff(2547,plain,
% 7.60/5.25 (~m_main_v_state1(s26, c_n1)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2546, 454, 2543])).
% 7.60/5.25 tff(2548,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2549,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2550,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 7.60/5.25 tff(2551,plain,
% 7.60/5.25 (~node11(s26)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2550, 238, 2547])).
% 7.60/5.25 tff(2552,plain,
% 7.60/5.25 (succ(s26, s27) <=> succ(s26, s27)),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2553,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 7.60/5.25 tff(2554,plain,
% 7.60/5.25 (succ(s26, s27)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 7.60/5.25 tff(2555,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2556,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2557,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 7.60/5.25 tff(2558,plain,
% 7.60/5.25 (trans(s26, s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2557, 2554, 32])).
% 7.60/5.25 tff(2559,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2560,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2561,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 7.60/5.25 tff(2562,plain,
% 7.60/5.25 (node14(s26, s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2561, 46, 2558])).
% 7.60/5.25 tff(2563,plain,
% 7.60/5.25 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2564,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2565,plain,
% 7.60/5.25 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 7.60/5.25 tff(2566,plain,
% 7.60/5.25 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2565, 296, 2562])).
% 7.60/5.25 tff(2567,plain,
% 7.60/5.25 (node13(s26, s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2566, 2551, 2508, 2504, 2500, 2496, 2479])).
% 7.60/5.25 tff(2568,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2569,plain,
% 7.60/5.25 (((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2))) <=> (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2570,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))))),
% 7.60/5.25 inference(monotonicity,[status(thm)],[2569])).
% 7.60/5.25 tff(2571,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 7.60/5.25 inference(transitivity,[status(thm)],[2570, 2568])).
% 7.60/5.25 tff(2572,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2573,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 7.60/5.25 tff(2574,plain,
% 7.60/5.25 (~m_main_v_state2(s27, c_n2)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2573, 311, 2492, 2567])).
% 7.60/5.25 tff(2575,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2576,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2577,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 7.60/5.25 tff(2578,plain,
% 7.60/5.25 (~node9(s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2577, 88, 2574])).
% 7.60/5.25 tff(2579,plain,
% 7.60/5.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2580,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2581,plain,
% 7.60/5.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 7.60/5.25 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 7.60/5.25 tff(2582,plain,
% 7.60/5.25 (~node10(s27)),
% 7.60/5.25 inference(unit_resolution,[status(thm)],[2581, 249, 2574])).
% 7.60/5.25 tff(2583,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2584,plain,
% 7.60/5.25 (((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2)) <=> ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 7.60/5.25 inference(rewrite,[status(thm)],[])).
% 7.60/5.25 tff(2585,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))))),
% 7.60/5.25 inference(monotonicity,[status(thm)],[2584])).
% 7.60/5.25 tff(2586,plain,
% 7.60/5.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 7.60/5.25 inference(transitivity,[status(thm)],[2585, 2583])).
% 7.60/5.25 tff(2587,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))),
% 7.60/5.25 inference(quant_inst,[status(thm)],[])).
% 7.60/5.25 tff(2588,plain,
% 7.60/5.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 7.60/5.26 tff(2589,plain,
% 7.60/5.26 (m_main_v_state2(s27, c_t2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2588, 518, 2488, 2567])).
% 7.60/5.26 tff(2590,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2591,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2592,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 7.60/5.26 tff(2593,plain,
% 7.60/5.26 (~m_main_v_state1(s26, c_t1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2592, 539, 2543])).
% 7.60/5.26 tff(2594,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2595,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2596,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 7.60/5.26 tff(2597,plain,
% 7.60/5.26 (~node5(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2596, 550, 2593])).
% 7.60/5.26 tff(2598,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2599,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2600,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 7.60/5.26 tff(2601,plain,
% 7.60/5.26 (~node4(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2600, 388, 2492])).
% 7.60/5.26 tff(2602,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2603,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2604,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 7.60/5.26 tff(2605,plain,
% 7.60/5.26 (~node3(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2604, 399, 2508])).
% 7.60/5.26 tff(2606,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2607,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2608,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 7.60/5.26 tff(2609,plain,
% 7.60/5.26 (~node2(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2608, 410, 2492])).
% 7.60/5.26 tff(2610,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2611,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2612,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 7.60/5.26 tff(2613,plain,
% 7.60/5.26 (~node1(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2612, 421, 2547])).
% 7.60/5.26 tff(2614,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2615,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2616,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 7.60/5.26 tff(2617,plain,
% 7.60/5.26 (node7(s26, s27)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2616, 206, 2558])).
% 7.60/5.26 tff(2618,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2619,plain,
% 7.60/5.26 (((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1)) <=> (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2620,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))))),
% 7.60/5.26 inference(monotonicity,[status(thm)],[2619])).
% 7.60/5.26 tff(2621,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 7.60/5.26 inference(transitivity,[status(thm)],[2620, 2618])).
% 7.60/5.26 tff(2622,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2623,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 7.60/5.26 tff(2624,plain,
% 7.60/5.26 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2623, 584, 2617])).
% 7.60/5.26 tff(2625,plain,
% 7.60/5.26 (m_main_v_state1(s27, c_n1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2624, 2613, 2543, 2609, 2605, 2601, 2597])).
% 7.60/5.26 tff(2626,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2627,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2628,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 7.60/5.26 tff(2629,plain,
% 7.60/5.26 (~node8(s27)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2628, 271, 2574])).
% 7.60/5.26 tff(2630,plain,
% 7.60/5.26 (succ(s27, s28) <=> succ(s27, s28)),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2631,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 7.60/5.26 tff(2632,plain,
% 7.60/5.26 (succ(s27, s28)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 7.60/5.26 tff(2633,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2634,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2635,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 7.60/5.26 tff(2636,plain,
% 7.60/5.26 (trans(s27, s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2635, 2632, 32])).
% 7.60/5.26 tff(2637,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2638,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2639,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 7.60/5.26 tff(2640,plain,
% 7.60/5.26 (node14(s27, s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2639, 46, 2636])).
% 7.60/5.26 tff(2641,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2642,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2643,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 7.60/5.26 tff(2644,plain,
% 7.60/5.26 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | m_main_v_state2(s28, c_c2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2643, 617, 2640])).
% 7.60/5.26 tff(2645,plain,
% 7.60/5.26 (m_main_v_state2(s28, c_c2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2644, 2629, 2625, 2589, 2582, 2578])).
% 7.60/5.26 tff(2646,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2647,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2648,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 7.60/5.26 tff(2649,plain,
% 7.60/5.26 (~m_main_v_state2(s28, c_t2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2648, 260, 2645])).
% 7.60/5.26 tff(2650,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2651,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2652,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 7.60/5.26 tff(2653,plain,
% 7.60/5.26 (~node12(s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2652, 633, 2649])).
% 7.60/5.26 tff(2654,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2655,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2656,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 7.60/5.26 tff(2657,plain,
% 7.60/5.26 (node7(s27, s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2656, 206, 2636])).
% 7.60/5.26 tff(2658,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2659,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2660,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 7.60/5.26 tff(2661,plain,
% 7.60/5.26 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2660, 651, 2657])).
% 7.60/5.26 tff(2662,plain,
% 7.60/5.26 (m_main_v_state1(s28, c_t1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2661, 2589, 2625])).
% 7.60/5.26 tff(2663,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2664,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2665,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 7.60/5.26 tff(2666,plain,
% 7.60/5.26 (~m_main_v_state1(s28, c_n1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2665, 10, 2662])).
% 7.60/5.26 tff(2667,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2668,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2669,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 7.60/5.26 tff(2670,plain,
% 7.60/5.26 (~node11(s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2669, 238, 2666])).
% 7.60/5.26 tff(2671,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2672,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2673,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 7.60/5.26 tff(2674,plain,
% 7.60/5.26 (~m_main_v_state1(s28, c_c1)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2673, 539, 2662])).
% 7.60/5.26 tff(2675,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2676,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2677,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 7.60/5.26 tff(2678,plain,
% 7.60/5.26 (~node10(s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2677, 675, 2674])).
% 7.60/5.26 tff(2679,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2680,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2681,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 7.60/5.26 tff(2682,plain,
% 7.60/5.26 (~node9(s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2681, 686, 2666])).
% 7.60/5.26 tff(2683,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2684,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2685,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 7.60/5.26 tff(2686,plain,
% 7.60/5.26 (~m_main_v_state2(s28, c_n2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2685, 697, 2645])).
% 7.60/5.26 tff(2687,plain,
% 7.60/5.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2688,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2689,plain,
% 7.60/5.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 7.60/5.26 tff(2690,plain,
% 7.60/5.26 (~node8(s28)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2689, 271, 2686])).
% 7.60/5.26 tff(2691,plain,
% 7.60/5.26 (succ(s28, s29) <=> succ(s28, s29)),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2692,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 7.60/5.26 tff(2693,plain,
% 7.60/5.26 (succ(s28, s29)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2692, 2691])).
% 7.60/5.26 tff(2694,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2695,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2696,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 7.60/5.26 tff(2697,plain,
% 7.60/5.26 (trans(s28, s29)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2696, 2693, 32])).
% 7.60/5.26 tff(2698,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2699,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2700,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 7.60/5.26 tff(2701,plain,
% 7.60/5.26 (node14(s28, s29)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2700, 46, 2697])).
% 7.60/5.26 tff(2702,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2703,plain,
% 7.60/5.26 (((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2)) <=> (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2704,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))))),
% 7.60/5.26 inference(monotonicity,[status(thm)],[2703])).
% 7.60/5.26 tff(2705,plain,
% 7.60/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 7.60/5.26 inference(transitivity,[status(thm)],[2704, 2702])).
% 7.60/5.26 tff(2706,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2707,plain,
% 7.60/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 7.60/5.26 tff(2708,plain,
% 7.60/5.26 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2707, 726, 2701])).
% 7.60/5.26 tff(2709,plain,
% 7.60/5.26 (m_main_v_state2(s29, c_n2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2708, 2690, 2645, 2682, 2678, 2670, 2653])).
% 7.60/5.26 tff(2710,plain,
% 7.60/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 7.60/5.26 inference(rewrite,[status(thm)],[])).
% 7.60/5.26 tff(2711,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 7.60/5.26 inference(quant_inst,[status(thm)],[])).
% 7.60/5.26 tff(2712,plain,
% 7.60/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2))),
% 7.60/5.26 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 7.60/5.26 tff(2713,plain,
% 7.60/5.26 (~m_main_v_state2(s29, c_c2)),
% 7.60/5.26 inference(unit_resolution,[status(thm)],[2712, 697, 2709])).
% 7.60/5.27 tff(2714,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2715,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2716,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 7.60/5.27 tff(2717,plain,
% 7.60/5.27 (~node3(s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2716, 399, 2713])).
% 7.60/5.27 tff(2718,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2719,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2720,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 7.60/5.27 tff(2721,plain,
% 7.60/5.27 (~node1(s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2720, 421, 2666])).
% 7.60/5.27 tff(2722,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2723,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2724,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 7.60/5.27 tff(2725,plain,
% 7.60/5.27 (node18(s27, s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2724, 125, 2636])).
% 7.60/5.27 tff(2726,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2727,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2728,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 7.60/5.27 tff(2729,plain,
% 7.60/5.27 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2728, 760, 2725])).
% 7.60/5.27 tff(2730,plain,
% 7.60/5.27 (m_main_v_turn(s28, c_2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2729, 2589, 2625])).
% 7.60/5.27 tff(2731,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2732,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2733,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 7.60/5.27 tff(2734,plain,
% 7.60/5.27 (~m_main_v_turn(s28, c_1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2733, 156, 2730])).
% 7.60/5.27 tff(2735,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2736,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2737,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 7.60/5.27 tff(2738,plain,
% 7.60/5.27 (~node5(s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2737, 776, 2734])).
% 7.60/5.27 tff(2739,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2740,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2741,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 7.60/5.27 tff(2742,plain,
% 7.60/5.27 (~node2(s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2741, 787, 2666])).
% 7.60/5.27 tff(2743,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2744,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2745,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 7.60/5.27 tff(2746,plain,
% 7.60/5.27 (~node3(s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2745, 798, 2666])).
% 7.60/5.27 tff(2747,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2748,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2749,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 7.60/5.27 tff(2750,plain,
% 7.60/5.27 (~node4(s28)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2749, 388, 2686])).
% 7.60/5.27 tff(2751,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2752,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2753,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 7.60/5.27 tff(2754,plain,
% 7.60/5.27 (node7(s28, s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2753, 206, 2697])).
% 7.60/5.27 tff(2755,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2756,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2757,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 7.60/5.27 tff(2758,plain,
% 7.60/5.27 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2757, 820, 2754])).
% 7.60/5.27 tff(2759,plain,
% 7.60/5.27 (node6(s28, s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2758, 2750, 2674, 2746, 2742, 2738, 2721])).
% 7.60/5.27 tff(2760,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2761,plain,
% 7.60/5.27 (((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1))) <=> (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2762,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))))),
% 7.60/5.27 inference(monotonicity,[status(thm)],[2761])).
% 7.60/5.27 tff(2763,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 7.60/5.27 inference(transitivity,[status(thm)],[2762, 2760])).
% 7.60/5.27 tff(2764,plain,
% 7.60/5.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2765,plain,
% 7.60/5.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 7.60/5.27 tff(2766,plain,
% 7.60/5.27 (~m_main_v_state1(s29, c_n1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2765, 835, 2666, 2759])).
% 7.60/5.27 tff(2767,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2768,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2769,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 7.60/5.27 tff(2770,plain,
% 7.60/5.27 (~node2(s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2769, 787, 2766])).
% 7.60/5.27 tff(2771,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2772,plain,
% 7.60/5.27 (((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1)) <=> ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2773,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))))),
% 7.60/5.27 inference(monotonicity,[status(thm)],[2772])).
% 7.60/5.27 tff(2774,plain,
% 7.60/5.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 7.60/5.27 inference(transitivity,[status(thm)],[2773, 2771])).
% 7.60/5.27 tff(2775,plain,
% 7.60/5.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2776,plain,
% 7.60/5.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 7.60/5.27 tff(2777,plain,
% 7.60/5.27 (m_main_v_state1(s29, c_t1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2776, 856, 2662, 2759])).
% 7.60/5.27 tff(2778,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2779,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2780,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 7.60/5.27 tff(2781,plain,
% 7.60/5.27 (~m_main_v_state2(s29, c_t2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2780, 77, 2709])).
% 7.60/5.27 tff(2782,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2783,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2784,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 7.60/5.27 tff(2785,plain,
% 7.60/5.27 (~node1(s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2784, 195, 2781])).
% 7.60/5.27 tff(2786,plain,
% 7.60/5.27 (succ(s29, s30) <=> succ(s29, s30)),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2787,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 7.60/5.27 tff(2788,plain,
% 7.60/5.27 (succ(s29, s30)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 7.60/5.27 tff(2789,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2790,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2791,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 7.60/5.27 tff(2792,plain,
% 7.60/5.27 (trans(s29, s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2791, 2788, 32])).
% 7.60/5.27 tff(2793,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2794,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2795,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 7.60/5.27 tff(2796,plain,
% 7.60/5.27 (node7(s29, s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2795, 206, 2792])).
% 7.60/5.27 tff(2797,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2798,plain,
% 7.60/5.27 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1)) <=> ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2799,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))))),
% 7.60/5.27 inference(monotonicity,[status(thm)],[2798])).
% 7.60/5.27 tff(2800,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 7.60/5.27 inference(transitivity,[status(thm)],[2799, 2797])).
% 7.60/5.27 tff(2801,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2802,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 7.60/5.27 tff(2803,plain,
% 7.60/5.27 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2802, 892, 2796])).
% 7.60/5.27 tff(2804,plain,
% 7.60/5.27 (m_main_v_state1(s30, c_c1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2803, 2785, 2709, 2777, 2770, 2717])).
% 7.60/5.27 tff(2805,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2806,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2807,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 7.60/5.27 tff(2808,plain,
% 7.60/5.27 (~m_main_v_state1(s30, c_t1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2807, 539, 2804])).
% 7.60/5.27 tff(2809,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2810,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2811,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 7.60/5.27 tff(2812,plain,
% 7.60/5.27 (~node5(s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2811, 550, 2808])).
% 7.60/5.27 tff(2813,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2814,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2815,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 7.60/5.27 tff(2816,plain,
% 7.60/5.27 (node14(s29, s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2815, 46, 2792])).
% 7.60/5.27 tff(2817,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2818,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2819,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 7.60/5.27 tff(2820,plain,
% 7.60/5.27 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2819, 922, 2816])).
% 7.60/5.27 tff(2821,plain,
% 7.60/5.27 (m_main_v_state2(s30, c_t2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2820, 2777, 2709])).
% 7.60/5.27 tff(2822,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2823,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2824,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 7.60/5.27 tff(2825,plain,
% 7.60/5.27 (~m_main_v_state2(s30, c_n2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2824, 77, 2821])).
% 7.60/5.27 tff(2826,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2827,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2828,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 7.60/5.27 tff(2829,plain,
% 7.60/5.27 (~node4(s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2828, 388, 2825])).
% 7.60/5.27 tff(2830,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2831,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2832,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 7.60/5.27 tff(2833,plain,
% 7.60/5.27 (~m_main_v_state2(s30, c_c2)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2832, 260, 2821])).
% 7.60/5.27 tff(2834,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2835,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2836,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 7.60/5.27 tff(2837,plain,
% 7.60/5.27 (~node3(s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2836, 399, 2833])).
% 7.60/5.27 tff(2838,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2839,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2840,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 7.60/5.27 tff(2841,plain,
% 7.60/5.27 (~node2(s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2840, 410, 2825])).
% 7.60/5.27 tff(2842,plain,
% 7.60/5.27 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2843,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2844,plain,
% 7.60/5.27 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 7.60/5.27 tff(2845,plain,
% 7.60/5.27 (~m_main_v_state1(s30, c_n1)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2844, 454, 2804])).
% 7.60/5.27 tff(2846,plain,
% 7.60/5.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2847,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2848,plain,
% 7.60/5.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 7.60/5.27 tff(2849,plain,
% 7.60/5.27 (~node1(s30)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2848, 421, 2845])).
% 7.60/5.27 tff(2850,plain,
% 7.60/5.27 (succ(s30, s31) <=> succ(s30, s31)),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2851,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 7.60/5.27 tff(2852,plain,
% 7.60/5.27 (succ(s30, s31)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 7.60/5.27 tff(2853,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2854,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2855,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 7.60/5.27 tff(2856,plain,
% 7.60/5.27 (trans(s30, s31)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2855, 2852, 32])).
% 7.60/5.27 tff(2857,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31))),
% 7.60/5.27 inference(rewrite,[status(thm)],[])).
% 7.60/5.27 tff(2858,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 7.60/5.27 inference(quant_inst,[status(thm)],[])).
% 7.60/5.27 tff(2859,plain,
% 7.60/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 7.60/5.27 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 7.60/5.27 tff(2860,plain,
% 7.60/5.27 (node7(s30, s31)),
% 7.60/5.27 inference(unit_resolution,[status(thm)],[2859, 206, 2856])).
% 7.60/5.27 tff(2861,plain,
% 7.60/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2862,plain,
% 7.60/5.28 (((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1)) <=> (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2863,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))))),
% 7.60/5.28 inference(monotonicity,[status(thm)],[2862])).
% 7.60/5.28 tff(2864,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 7.60/5.28 inference(transitivity,[status(thm)],[2863, 2861])).
% 7.60/5.28 tff(2865,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2866,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 7.60/5.28 tff(2867,plain,
% 7.60/5.28 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2866, 584, 2860])).
% 7.60/5.28 tff(2868,plain,
% 7.60/5.28 (m_main_v_state1(s31, c_n1)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2867, 2849, 2804, 2841, 2837, 2829, 2812])).
% 7.60/5.28 tff(2869,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2870,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2871,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 7.60/5.28 tff(2872,plain,
% 7.60/5.28 (~node15(s29)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2871, 103, 2781])).
% 7.60/5.28 tff(2873,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2874,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2875,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 7.60/5.28 tff(2876,plain,
% 7.60/5.28 (node18(s29, s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2875, 125, 2792])).
% 7.60/5.28 tff(2877,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2878,plain,
% 7.60/5.28 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1)) <=> (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2879,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)))),
% 7.60/5.28 inference(monotonicity,[status(thm)],[2878])).
% 7.60/5.28 tff(2880,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 7.60/5.28 inference(transitivity,[status(thm)],[2879, 2877])).
% 7.60/5.28 tff(2881,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2882,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 7.60/5.28 tff(2883,plain,
% 7.60/5.28 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2882, 992, 2876])).
% 7.60/5.28 tff(2884,plain,
% 7.60/5.28 (m_main_v_turn(s30, c_1)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2883, 2872, 2709, 2777])).
% 7.60/5.28 tff(2885,plain,
% 7.60/5.28 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2886,plain,
% 7.60/5.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2887,plain,
% 7.60/5.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 7.60/5.28 tff(2888,plain,
% 7.60/5.28 (~m_main_v_turn(s30, c_2)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2887, 156, 2884])).
% 7.60/5.28 tff(2889,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2890,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2891,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 7.60/5.28 tff(2892,plain,
% 7.60/5.28 (~node12(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2891, 184, 2888])).
% 7.60/5.28 tff(2893,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2894,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2895,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 7.60/5.28 tff(2896,plain,
% 7.60/5.28 (~node8(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2895, 271, 2825])).
% 7.60/5.28 tff(2897,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2898,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2899,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 7.60/5.28 tff(2900,plain,
% 7.60/5.28 (~node9(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2899, 88, 2825])).
% 7.60/5.28 tff(2901,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2902,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2903,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 7.60/5.28 tff(2904,plain,
% 7.60/5.28 (~node10(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2903, 249, 2825])).
% 7.60/5.28 tff(2905,plain,
% 7.60/5.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2906,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2907,plain,
% 7.60/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 7.60/5.28 tff(2908,plain,
% 7.60/5.28 (~node11(s30)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2907, 238, 2845])).
% 7.60/5.28 tff(2909,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2910,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2911,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 7.60/5.28 tff(2912,plain,
% 7.60/5.28 (node14(s30, s31)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2911, 46, 2856])).
% 7.60/5.28 tff(2913,plain,
% 7.60/5.28 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2914,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 7.60/5.28 inference(quant_inst,[status(thm)],[])).
% 7.60/5.28 tff(2915,plain,
% 7.60/5.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 7.60/5.28 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 7.60/5.28 tff(2916,plain,
% 7.60/5.28 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2915, 296, 2912])).
% 7.60/5.28 tff(2917,plain,
% 7.60/5.28 (node13(s30, s31)),
% 7.60/5.28 inference(unit_resolution,[status(thm)],[2916, 2908, 2833, 2904, 2900, 2896, 2892])).
% 7.60/5.28 tff(2918,plain,
% 7.60/5.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2919,plain,
% 7.60/5.28 (((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2)) <=> ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 7.60/5.28 inference(rewrite,[status(thm)],[])).
% 7.60/5.28 tff(2920,plain,
% 7.60/5.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))))),
% 7.60/5.28 inference(monotonicity,[status(thm)],[2919])).
% 7.60/5.28 tff(2921,plain,
% 7.60/5.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 7.60/5.28 inference(transitivity,[status(thm)],[2920, 2918])).
% 7.66/5.28 tff(2922,plain,
% 7.66/5.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2923,plain,
% 7.66/5.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 7.66/5.28 tff(2924,plain,
% 7.66/5.28 (m_main_v_state2(s31, c_t2)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2923, 518, 2821, 2917])).
% 7.66/5.28 tff(2925,plain,
% 7.66/5.28 (succ(s31, s32) <=> succ(s31, s32)),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2926,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 7.66/5.28 tff(2927,plain,
% 7.66/5.28 (succ(s31, s32)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 7.66/5.28 tff(2928,plain,
% 7.66/5.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2929,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2930,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 7.66/5.28 tff(2931,plain,
% 7.66/5.28 (trans(s31, s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2930, 2927, 32])).
% 7.66/5.28 tff(2932,plain,
% 7.66/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2933,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2934,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 7.66/5.28 tff(2935,plain,
% 7.66/5.28 (node7(s31, s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2934, 206, 2931])).
% 7.66/5.28 tff(2936,plain,
% 7.66/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2937,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2938,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 7.66/5.28 tff(2939,plain,
% 7.66/5.28 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2938, 651, 2935])).
% 7.66/5.28 tff(2940,plain,
% 7.66/5.28 (m_main_v_state1(s32, c_t1)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2939, 2924, 2868])).
% 7.66/5.28 tff(2941,plain,
% 7.66/5.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2942,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2943,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 7.66/5.28 tff(2944,plain,
% 7.66/5.28 (~m_main_v_state1(s32, c_n1)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2943, 10, 2940])).
% 7.66/5.28 tff(2945,plain,
% 7.66/5.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2946,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2947,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 7.66/5.28 tff(2948,plain,
% 7.66/5.28 (~node1(s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2947, 421, 2944])).
% 7.66/5.28 tff(2949,plain,
% 7.66/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2950,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2951,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 7.66/5.28 tff(2952,plain,
% 7.66/5.28 (node18(s31, s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2951, 125, 2931])).
% 7.66/5.28 tff(2953,plain,
% 7.66/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2954,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2955,plain,
% 7.66/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 7.66/5.28 tff(2956,plain,
% 7.66/5.28 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2955, 760, 2952])).
% 7.66/5.28 tff(2957,plain,
% 7.66/5.28 (m_main_v_turn(s32, c_2)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2956, 2924, 2868])).
% 7.66/5.28 tff(2958,plain,
% 7.66/5.28 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2959,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2960,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 7.66/5.28 tff(2961,plain,
% 7.66/5.28 (~m_main_v_turn(s32, c_1)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2960, 156, 2957])).
% 7.66/5.28 tff(2962,plain,
% 7.66/5.28 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2963,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2964,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 7.66/5.28 tff(2965,plain,
% 7.66/5.28 (~node5(s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2964, 776, 2961])).
% 7.66/5.28 tff(2966,plain,
% 7.66/5.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2967,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2968,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 7.66/5.28 tff(2969,plain,
% 7.66/5.28 (~node2(s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2968, 787, 2944])).
% 7.66/5.28 tff(2970,plain,
% 7.66/5.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2971,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2972,plain,
% 7.66/5.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 7.66/5.28 tff(2973,plain,
% 7.66/5.28 (~node3(s32)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2972, 798, 2944])).
% 7.66/5.28 tff(2974,plain,
% 7.66/5.28 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2975,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 7.66/5.28 inference(quant_inst,[status(thm)],[])).
% 7.66/5.28 tff(2976,plain,
% 7.66/5.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1))),
% 7.66/5.28 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 7.66/5.28 tff(2977,plain,
% 7.66/5.28 (~m_main_v_state1(s32, c_c1)),
% 7.66/5.28 inference(unit_resolution,[status(thm)],[2976, 539, 2940])).
% 7.66/5.28 tff(2978,plain,
% 7.66/5.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2979,plain,
% 7.66/5.28 (((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2))) <=> (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 7.66/5.28 inference(rewrite,[status(thm)],[])).
% 7.66/5.28 tff(2980,plain,
% 7.66/5.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))))),
% 7.66/5.29 inference(monotonicity,[status(thm)],[2979])).
% 7.66/5.29 tff(2981,plain,
% 7.66/5.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 7.66/5.29 inference(transitivity,[status(thm)],[2980, 2978])).
% 7.66/5.29 tff(2982,plain,
% 7.66/5.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(2983,plain,
% 7.66/5.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 7.66/5.29 tff(2984,plain,
% 7.66/5.29 (~m_main_v_state2(s31, c_n2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[2983, 311, 2825, 2917])).
% 7.66/5.29 tff(2985,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(2986,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(2987,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 7.66/5.29 tff(2988,plain,
% 7.66/5.29 (~node9(s31)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[2987, 88, 2984])).
% 7.66/5.29 tff(2989,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(2990,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(2991,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 7.66/5.29 tff(2992,plain,
% 7.66/5.29 (~node10(s31)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[2991, 249, 2984])).
% 7.66/5.29 tff(2993,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(2994,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(2995,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 7.66/5.29 tff(2996,plain,
% 7.66/5.29 (~node8(s31)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[2995, 271, 2984])).
% 7.66/5.29 tff(2997,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(2998,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(2999,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 7.66/5.29 tff(3000,plain,
% 7.66/5.29 (node14(s31, s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[2999, 46, 2931])).
% 7.66/5.29 tff(3001,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3002,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3003,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 7.66/5.29 tff(3004,plain,
% 7.66/5.29 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | m_main_v_state2(s32, c_c2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3003, 617, 3000])).
% 7.66/5.29 tff(3005,plain,
% 7.66/5.29 (m_main_v_state2(s32, c_c2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3004, 2996, 2868, 2924, 2992, 2988])).
% 7.66/5.29 tff(3006,plain,
% 7.66/5.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3007,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3008,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 7.66/5.29 tff(3009,plain,
% 7.66/5.29 (~m_main_v_state2(s32, c_n2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3008, 697, 3005])).
% 7.66/5.29 tff(3010,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3011,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3012,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 7.66/5.29 tff(3013,plain,
% 7.66/5.29 (~node4(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3012, 388, 3009])).
% 7.66/5.29 tff(3014,plain,
% 7.66/5.29 (succ(s32, s33) <=> succ(s32, s33)),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3015,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 7.66/5.29 tff(3016,plain,
% 7.66/5.29 (succ(s32, s33)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 7.66/5.29 tff(3017,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3018,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3019,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 7.66/5.29 tff(3020,plain,
% 7.66/5.29 (trans(s32, s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3019, 3016, 32])).
% 7.66/5.29 tff(3021,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3022,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3023,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 7.66/5.29 tff(3024,plain,
% 7.66/5.29 (node7(s32, s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3023, 206, 3020])).
% 7.66/5.29 tff(3025,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3026,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3027,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 7.66/5.29 tff(3028,plain,
% 7.66/5.29 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3027, 820, 3024])).
% 7.66/5.29 tff(3029,plain,
% 7.66/5.29 (node6(s32, s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3028, 3013, 2977, 2973, 2969, 2965, 2948])).
% 7.66/5.29 tff(3030,plain,
% 7.66/5.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3031,plain,
% 7.66/5.29 (((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1)) <=> ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3032,plain,
% 7.66/5.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))))),
% 7.66/5.29 inference(monotonicity,[status(thm)],[3031])).
% 7.66/5.29 tff(3033,plain,
% 7.66/5.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 7.66/5.29 inference(transitivity,[status(thm)],[3032, 3030])).
% 7.66/5.29 tff(3034,plain,
% 7.66/5.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3035,plain,
% 7.66/5.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 7.66/5.29 tff(3036,plain,
% 7.66/5.29 (m_main_v_state1(s33, c_t1)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3035, 856, 2940, 3029])).
% 7.66/5.29 tff(3037,plain,
% 7.66/5.29 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3038,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3039,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 7.66/5.29 tff(3040,plain,
% 7.66/5.29 (~m_main_v_state2(s32, c_t2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3039, 260, 3005])).
% 7.66/5.29 tff(3041,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3042,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3043,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 7.66/5.29 tff(3044,plain,
% 7.66/5.29 (~node12(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3043, 633, 3040])).
% 7.66/5.29 tff(3045,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3046,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3047,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 7.66/5.29 tff(3048,plain,
% 7.66/5.29 (~node11(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3047, 238, 2944])).
% 7.66/5.29 tff(3049,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3050,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3051,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 7.66/5.29 tff(3052,plain,
% 7.66/5.29 (~node10(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3051, 675, 2977])).
% 7.66/5.29 tff(3053,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3054,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3055,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 7.66/5.29 tff(3056,plain,
% 7.66/5.29 (~node9(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3055, 686, 2944])).
% 7.66/5.29 tff(3057,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3058,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3059,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 7.66/5.29 tff(3060,plain,
% 7.66/5.29 (~node8(s32)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3059, 271, 3009])).
% 7.66/5.29 tff(3061,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3062,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3063,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 7.66/5.29 tff(3064,plain,
% 7.66/5.29 (node14(s32, s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3063, 46, 3020])).
% 7.66/5.29 tff(3065,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3066,plain,
% 7.66/5.29 (((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2)) <=> (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3067,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))))),
% 7.66/5.29 inference(monotonicity,[status(thm)],[3066])).
% 7.66/5.29 tff(3068,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 7.66/5.29 inference(transitivity,[status(thm)],[3067, 3065])).
% 7.66/5.29 tff(3069,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3070,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 7.66/5.29 tff(3071,plain,
% 7.66/5.29 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3070, 726, 3064])).
% 7.66/5.29 tff(3072,plain,
% 7.66/5.29 (m_main_v_state2(s33, c_n2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3071, 3060, 3005, 3056, 3052, 3048, 3044])).
% 7.66/5.29 tff(3073,plain,
% 7.66/5.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3074,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3075,plain,
% 7.66/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 7.66/5.29 tff(3076,plain,
% 7.66/5.29 (~m_main_v_state2(s33, c_t2)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3075, 77, 3072])).
% 7.66/5.29 tff(3077,plain,
% 7.66/5.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3078,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3079,plain,
% 7.66/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 7.66/5.29 tff(3080,plain,
% 7.66/5.29 (~node15(s33)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3079, 103, 3076])).
% 7.66/5.29 tff(3081,plain,
% 7.66/5.29 (succ(s33, s34) <=> succ(s33, s34)),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3082,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 7.66/5.29 tff(3083,plain,
% 7.66/5.29 (succ(s33, s34)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 7.66/5.29 tff(3084,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3085,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3086,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 7.66/5.29 tff(3087,plain,
% 7.66/5.29 (trans(s33, s34)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3086, 3083, 32])).
% 7.66/5.29 tff(3088,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3089,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3090,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 7.66/5.29 tff(3091,plain,
% 7.66/5.29 (node18(s33, s34)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3090, 125, 3087])).
% 7.66/5.29 tff(3092,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3093,plain,
% 7.66/5.29 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1)) <=> (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 7.66/5.29 inference(rewrite,[status(thm)],[])).
% 7.66/5.29 tff(3094,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)))),
% 7.66/5.29 inference(monotonicity,[status(thm)],[3093])).
% 7.66/5.29 tff(3095,plain,
% 7.66/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 7.66/5.29 inference(transitivity,[status(thm)],[3094, 3092])).
% 7.66/5.29 tff(3096,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 7.66/5.29 inference(quant_inst,[status(thm)],[])).
% 7.66/5.29 tff(3097,plain,
% 7.66/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 7.66/5.29 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 7.66/5.29 tff(3098,plain,
% 7.66/5.29 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3097, 992, 3091])).
% 7.66/5.29 tff(3099,plain,
% 7.66/5.29 (m_main_v_turn(s34, c_1)),
% 7.66/5.29 inference(unit_resolution,[status(thm)],[3098, 3080, 3072, 3036])).
% 7.66/5.29 tff(3100,plain,
% 7.66/5.29 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3101,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3102,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 7.66/5.30 tff(3103,plain,
% 7.66/5.30 (~m_main_v_turn(s34, c_2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3102, 156, 3099])).
% 7.66/5.30 tff(3104,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3105,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3106,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 7.66/5.30 tff(3107,plain,
% 7.66/5.30 (~node12(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3106, 184, 3103])).
% 7.66/5.30 tff(3108,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3109,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3110,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 7.66/5.30 tff(3111,plain,
% 7.66/5.30 (node14(s33, s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3110, 46, 3087])).
% 7.66/5.30 tff(3112,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3113,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3114,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 7.66/5.30 tff(3115,plain,
% 7.66/5.30 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3114, 922, 3111])).
% 7.66/5.30 tff(3116,plain,
% 7.66/5.30 (m_main_v_state2(s34, c_t2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3115, 3036, 3072])).
% 7.66/5.30 tff(3117,plain,
% 7.66/5.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3118,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3119,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 7.66/5.30 tff(3120,plain,
% 7.66/5.30 (~m_main_v_state2(s34, c_n2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3119, 77, 3116])).
% 7.66/5.30 tff(3121,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3122,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3123,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 7.66/5.30 tff(3124,plain,
% 7.66/5.30 (~node8(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3123, 271, 3120])).
% 7.66/5.30 tff(3125,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3126,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3127,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 7.66/5.30 tff(3128,plain,
% 7.66/5.30 (~node9(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3127, 88, 3120])).
% 7.66/5.30 tff(3129,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3130,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3131,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 7.66/5.30 tff(3132,plain,
% 7.66/5.30 (~node10(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3131, 249, 3120])).
% 7.66/5.30 tff(3133,plain,
% 7.66/5.30 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3134,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3135,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 7.66/5.30 tff(3136,plain,
% 7.66/5.30 (~m_main_v_state2(s34, c_c2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3135, 260, 3116])).
% 7.66/5.30 tff(3137,plain,
% 7.66/5.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3138,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3139,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 7.66/5.30 tff(3140,plain,
% 7.66/5.30 (~m_main_v_state2(s33, c_c2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3139, 697, 3072])).
% 7.66/5.30 tff(3141,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3142,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3143,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 7.66/5.30 tff(3144,plain,
% 7.66/5.30 (~node3(s33)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3143, 399, 3140])).
% 7.66/5.30 tff(3145,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3146,plain,
% 7.66/5.30 (((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1))) <=> (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3147,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))))),
% 7.66/5.30 inference(monotonicity,[status(thm)],[3146])).
% 7.66/5.30 tff(3148,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 7.66/5.30 inference(transitivity,[status(thm)],[3147, 3145])).
% 7.66/5.30 tff(3149,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3150,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 7.66/5.30 tff(3151,plain,
% 7.66/5.30 (~m_main_v_state1(s33, c_n1)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3150, 835, 2944, 3029])).
% 7.66/5.30 tff(3152,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3153,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3154,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 7.66/5.30 tff(3155,plain,
% 7.66/5.30 (~node2(s33)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3154, 787, 3151])).
% 7.66/5.30 tff(3156,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3157,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3158,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 7.66/5.30 tff(3159,plain,
% 7.66/5.30 (~node1(s33)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3158, 195, 3076])).
% 7.66/5.30 tff(3160,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3161,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3162,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 7.66/5.30 tff(3163,plain,
% 7.66/5.30 (node7(s33, s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3162, 206, 3087])).
% 7.66/5.30 tff(3164,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3165,plain,
% 7.66/5.30 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1)) <=> ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3166,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))))),
% 7.66/5.30 inference(monotonicity,[status(thm)],[3165])).
% 7.66/5.30 tff(3167,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 7.66/5.30 inference(transitivity,[status(thm)],[3166, 3164])).
% 7.66/5.30 tff(3168,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3169,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 7.66/5.30 tff(3170,plain,
% 7.66/5.30 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3169, 892, 3163])).
% 7.66/5.30 tff(3171,plain,
% 7.66/5.30 (m_main_v_state1(s34, c_c1)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3170, 3159, 3072, 3036, 3155, 3144])).
% 7.66/5.30 tff(3172,plain,
% 7.66/5.30 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3173,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3174,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 7.66/5.30 tff(3175,plain,
% 7.66/5.30 (~m_main_v_state1(s34, c_n1)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3174, 454, 3171])).
% 7.66/5.30 tff(3176,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3177,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3178,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 7.66/5.30 tff(3179,plain,
% 7.66/5.30 (~node11(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3178, 238, 3175])).
% 7.66/5.30 tff(3180,plain,
% 7.66/5.30 (succ(s34, s35) <=> succ(s34, s35)),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3181,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 7.66/5.30 tff(3182,plain,
% 7.66/5.30 (succ(s34, s35)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 7.66/5.30 tff(3183,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3184,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3185,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 7.66/5.30 tff(3186,plain,
% 7.66/5.30 (trans(s34, s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3185, 3182, 32])).
% 7.66/5.30 tff(3187,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3188,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3189,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 7.66/5.30 tff(3190,plain,
% 7.66/5.30 (node14(s34, s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3189, 46, 3186])).
% 7.66/5.30 tff(3191,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3192,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3193,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 7.66/5.30 tff(3194,plain,
% 7.66/5.30 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3193, 296, 3190])).
% 7.66/5.30 tff(3195,plain,
% 7.66/5.30 (node13(s34, s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3194, 3179, 3136, 3132, 3128, 3124, 3107])).
% 7.66/5.30 tff(3196,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3197,plain,
% 7.66/5.30 (((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2))) <=> (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3198,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))))),
% 7.66/5.30 inference(monotonicity,[status(thm)],[3197])).
% 7.66/5.30 tff(3199,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 7.66/5.30 inference(transitivity,[status(thm)],[3198, 3196])).
% 7.66/5.30 tff(3200,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3201,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 7.66/5.30 tff(3202,plain,
% 7.66/5.30 (~m_main_v_state2(s35, c_n2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3201, 311, 3120, 3195])).
% 7.66/5.30 tff(3203,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3204,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3205,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 7.66/5.30 tff(3206,plain,
% 7.66/5.30 (~node9(s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3205, 88, 3202])).
% 7.66/5.30 tff(3207,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3208,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3209,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 7.66/5.30 tff(3210,plain,
% 7.66/5.30 (~node10(s35)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3209, 249, 3202])).
% 7.66/5.30 tff(3211,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3212,plain,
% 7.66/5.30 (((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2)) <=> ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3213,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))))),
% 7.66/5.30 inference(monotonicity,[status(thm)],[3212])).
% 7.66/5.30 tff(3214,plain,
% 7.66/5.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 7.66/5.30 inference(transitivity,[status(thm)],[3213, 3211])).
% 7.66/5.30 tff(3215,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3216,plain,
% 7.66/5.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 7.66/5.30 tff(3217,plain,
% 7.66/5.30 (m_main_v_state2(s35, c_t2)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3216, 518, 3116, 3195])).
% 7.66/5.30 tff(3218,plain,
% 7.66/5.30 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3219,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3220,plain,
% 7.66/5.30 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 7.66/5.30 tff(3221,plain,
% 7.66/5.30 (~m_main_v_state1(s34, c_t1)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3220, 539, 3171])).
% 7.66/5.30 tff(3222,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3223,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3224,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 7.66/5.30 tff(3225,plain,
% 7.66/5.30 (~node5(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3224, 550, 3221])).
% 7.66/5.30 tff(3226,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3227,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3228,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 7.66/5.30 tff(3229,plain,
% 7.66/5.30 (~node4(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3228, 388, 3120])).
% 7.66/5.30 tff(3230,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3231,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3232,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 7.66/5.30 tff(3233,plain,
% 7.66/5.30 (~node3(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3232, 399, 3136])).
% 7.66/5.30 tff(3234,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3235,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3236,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 7.66/5.30 tff(3237,plain,
% 7.66/5.30 (~node2(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3236, 410, 3120])).
% 7.66/5.30 tff(3238,plain,
% 7.66/5.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3239,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.30 tff(3240,plain,
% 7.66/5.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 7.66/5.30 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 7.66/5.30 tff(3241,plain,
% 7.66/5.30 (~node1(s34)),
% 7.66/5.30 inference(unit_resolution,[status(thm)],[3240, 421, 3175])).
% 7.66/5.30 tff(3242,plain,
% 7.66/5.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35))),
% 7.66/5.30 inference(rewrite,[status(thm)],[])).
% 7.66/5.30 tff(3243,plain,
% 7.66/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 7.66/5.30 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3244,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 7.66/5.31 tff(3245,plain,
% 7.66/5.31 (node7(s34, s35)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3244, 206, 3186])).
% 7.66/5.31 tff(3246,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3247,plain,
% 7.66/5.31 (((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1)) <=> (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3248,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))))),
% 7.66/5.31 inference(monotonicity,[status(thm)],[3247])).
% 7.66/5.31 tff(3249,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 7.66/5.31 inference(transitivity,[status(thm)],[3248, 3246])).
% 7.66/5.31 tff(3250,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3251,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 7.66/5.31 tff(3252,plain,
% 7.66/5.31 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3251, 584, 3245])).
% 7.66/5.31 tff(3253,plain,
% 7.66/5.31 (m_main_v_state1(s35, c_n1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3252, 3241, 3171, 3237, 3233, 3229, 3225])).
% 7.66/5.31 tff(3254,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3255,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3256,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 7.66/5.31 tff(3257,plain,
% 7.66/5.31 (~node8(s35)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3256, 271, 3202])).
% 7.66/5.31 tff(3258,plain,
% 7.66/5.31 (succ(s35, s36) <=> succ(s35, s36)),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3259,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 7.66/5.31 tff(3260,plain,
% 7.66/5.31 (succ(s35, s36)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 7.66/5.31 tff(3261,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3262,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3263,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 7.66/5.31 tff(3264,plain,
% 7.66/5.31 (trans(s35, s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3263, 3260, 32])).
% 7.66/5.31 tff(3265,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3266,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3267,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 7.66/5.31 tff(3268,plain,
% 7.66/5.31 (node14(s35, s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3267, 46, 3264])).
% 7.66/5.31 tff(3269,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3270,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3271,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 7.66/5.31 tff(3272,plain,
% 7.66/5.31 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | m_main_v_state2(s36, c_c2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3271, 617, 3268])).
% 7.66/5.31 tff(3273,plain,
% 7.66/5.31 (m_main_v_state2(s36, c_c2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3272, 3257, 3253, 3217, 3210, 3206])).
% 7.66/5.31 tff(3274,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3275,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3276,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 7.66/5.31 tff(3277,plain,
% 7.66/5.31 (~m_main_v_state2(s36, c_t2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3276, 260, 3273])).
% 7.66/5.31 tff(3278,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3279,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3280,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 7.66/5.31 tff(3281,plain,
% 7.66/5.31 (~node12(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3280, 633, 3277])).
% 7.66/5.31 tff(3282,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3283,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3284,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 7.66/5.31 tff(3285,plain,
% 7.66/5.31 (node7(s35, s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3284, 206, 3264])).
% 7.66/5.31 tff(3286,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3287,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3288,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 7.66/5.31 tff(3289,plain,
% 7.66/5.31 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3288, 651, 3285])).
% 7.66/5.31 tff(3290,plain,
% 7.66/5.31 (m_main_v_state1(s36, c_t1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3289, 3217, 3253])).
% 7.66/5.31 tff(3291,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3292,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3293,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 7.66/5.31 tff(3294,plain,
% 7.66/5.31 (~m_main_v_state1(s36, c_n1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3293, 10, 3290])).
% 7.66/5.31 tff(3295,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3296,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3297,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 7.66/5.31 tff(3298,plain,
% 7.66/5.31 (~node11(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3297, 238, 3294])).
% 7.66/5.31 tff(3299,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3300,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3301,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 7.66/5.31 tff(3302,plain,
% 7.66/5.31 (~m_main_v_state1(s36, c_c1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3301, 539, 3290])).
% 7.66/5.31 tff(3303,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3304,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3305,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 7.66/5.31 tff(3306,plain,
% 7.66/5.31 (~node10(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3305, 675, 3302])).
% 7.66/5.31 tff(3307,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3308,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3309,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 7.66/5.31 tff(3310,plain,
% 7.66/5.31 (~node9(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3309, 686, 3294])).
% 7.66/5.31 tff(3311,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3312,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3313,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 7.66/5.31 tff(3314,plain,
% 7.66/5.31 (~m_main_v_state2(s36, c_n2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3313, 697, 3273])).
% 7.66/5.31 tff(3315,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3316,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3317,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 7.66/5.31 tff(3318,plain,
% 7.66/5.31 (~node8(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3317, 271, 3314])).
% 7.66/5.31 tff(3319,plain,
% 7.66/5.31 (succ(s36, s37) <=> succ(s36, s37)),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3320,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 7.66/5.31 tff(3321,plain,
% 7.66/5.31 (succ(s36, s37)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 7.66/5.31 tff(3322,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3323,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3324,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 7.66/5.31 tff(3325,plain,
% 7.66/5.31 (trans(s36, s37)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3324, 3321, 32])).
% 7.66/5.31 tff(3326,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3327,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3328,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 7.66/5.31 tff(3329,plain,
% 7.66/5.31 (node14(s36, s37)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3328, 46, 3325])).
% 7.66/5.31 tff(3330,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3331,plain,
% 7.66/5.31 (((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2)) <=> (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3332,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))))),
% 7.66/5.31 inference(monotonicity,[status(thm)],[3331])).
% 7.66/5.31 tff(3333,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 7.66/5.31 inference(transitivity,[status(thm)],[3332, 3330])).
% 7.66/5.31 tff(3334,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3335,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 7.66/5.31 tff(3336,plain,
% 7.66/5.31 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3335, 726, 3329])).
% 7.66/5.31 tff(3337,plain,
% 7.66/5.31 (m_main_v_state2(s37, c_n2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3336, 3318, 3273, 3310, 3306, 3298, 3281])).
% 7.66/5.31 tff(3338,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3339,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3340,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 7.66/5.31 tff(3341,plain,
% 7.66/5.31 (~m_main_v_state2(s37, c_c2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3340, 697, 3337])).
% 7.66/5.31 tff(3342,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3343,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3344,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 7.66/5.31 tff(3345,plain,
% 7.66/5.31 (~node3(s37)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3344, 399, 3341])).
% 7.66/5.31 tff(3346,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3347,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3348,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 7.66/5.31 tff(3349,plain,
% 7.66/5.31 (~node1(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3348, 421, 3294])).
% 7.66/5.31 tff(3350,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3351,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3352,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 7.66/5.31 tff(3353,plain,
% 7.66/5.31 (node18(s35, s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3352, 125, 3264])).
% 7.66/5.31 tff(3354,plain,
% 7.66/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3355,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3356,plain,
% 7.66/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 7.66/5.31 tff(3357,plain,
% 7.66/5.31 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3356, 760, 3353])).
% 7.66/5.31 tff(3358,plain,
% 7.66/5.31 (m_main_v_turn(s36, c_2)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3357, 3217, 3253])).
% 7.66/5.31 tff(3359,plain,
% 7.66/5.31 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3360,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3361,plain,
% 7.66/5.31 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 7.66/5.31 tff(3362,plain,
% 7.66/5.31 (~m_main_v_turn(s36, c_1)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3361, 156, 3358])).
% 7.66/5.31 tff(3363,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3364,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3365,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 7.66/5.31 tff(3366,plain,
% 7.66/5.31 (~node5(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3365, 776, 3362])).
% 7.66/5.31 tff(3367,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3368,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3369,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 7.66/5.31 tff(3370,plain,
% 7.66/5.31 (~node2(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3369, 787, 3294])).
% 7.66/5.31 tff(3371,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3372,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3373,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 7.66/5.31 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 7.66/5.31 tff(3374,plain,
% 7.66/5.31 (~node3(s36)),
% 7.66/5.31 inference(unit_resolution,[status(thm)],[3373, 798, 3294])).
% 7.66/5.31 tff(3375,plain,
% 7.66/5.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 7.66/5.31 inference(rewrite,[status(thm)],[])).
% 7.66/5.31 tff(3376,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 7.66/5.31 inference(quant_inst,[status(thm)],[])).
% 7.66/5.31 tff(3377,plain,
% 7.66/5.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 7.66/5.32 tff(3378,plain,
% 7.66/5.32 (~node4(s36)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3377, 388, 3314])).
% 7.66/5.32 tff(3379,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3380,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3381,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 7.66/5.32 tff(3382,plain,
% 7.66/5.32 (node7(s36, s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3381, 206, 3325])).
% 7.66/5.32 tff(3383,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3384,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3385,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 7.66/5.32 tff(3386,plain,
% 7.66/5.32 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3385, 820, 3382])).
% 7.66/5.32 tff(3387,plain,
% 7.66/5.32 (node6(s36, s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3386, 3378, 3302, 3374, 3370, 3366, 3349])).
% 7.66/5.32 tff(3388,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3389,plain,
% 7.66/5.32 (((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1))) <=> (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3390,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))))),
% 7.66/5.32 inference(monotonicity,[status(thm)],[3389])).
% 7.66/5.32 tff(3391,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 7.66/5.32 inference(transitivity,[status(thm)],[3390, 3388])).
% 7.66/5.32 tff(3392,plain,
% 7.66/5.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3393,plain,
% 7.66/5.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 7.66/5.32 tff(3394,plain,
% 7.66/5.32 (~m_main_v_state1(s37, c_n1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3393, 835, 3294, 3387])).
% 7.66/5.32 tff(3395,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3396,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3397,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 7.66/5.32 tff(3398,plain,
% 7.66/5.32 (~node2(s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3397, 787, 3394])).
% 7.66/5.32 tff(3399,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3400,plain,
% 7.66/5.32 (((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1)) <=> ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3401,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))))),
% 7.66/5.32 inference(monotonicity,[status(thm)],[3400])).
% 7.66/5.32 tff(3402,plain,
% 7.66/5.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 7.66/5.32 inference(transitivity,[status(thm)],[3401, 3399])).
% 7.66/5.32 tff(3403,plain,
% 7.66/5.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3404,plain,
% 7.66/5.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 7.66/5.32 tff(3405,plain,
% 7.66/5.32 (m_main_v_state1(s37, c_t1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3404, 856, 3290, 3387])).
% 7.66/5.32 tff(3406,plain,
% 7.66/5.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3407,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3408,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 7.66/5.32 tff(3409,plain,
% 7.66/5.32 (~m_main_v_state2(s37, c_t2)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3408, 77, 3337])).
% 7.66/5.32 tff(3410,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3411,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3412,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 7.66/5.32 tff(3413,plain,
% 7.66/5.32 (~node1(s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3412, 195, 3409])).
% 7.66/5.32 tff(3414,plain,
% 7.66/5.32 (succ(s37, s38) <=> succ(s37, s38)),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3415,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 7.66/5.32 tff(3416,plain,
% 7.66/5.32 (succ(s37, s38)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 7.66/5.32 tff(3417,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3418,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3419,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 7.66/5.32 tff(3420,plain,
% 7.66/5.32 (trans(s37, s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3419, 3416, 32])).
% 7.66/5.32 tff(3421,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3422,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3423,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 7.66/5.32 tff(3424,plain,
% 7.66/5.32 (node7(s37, s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3423, 206, 3420])).
% 7.66/5.32 tff(3425,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3426,plain,
% 7.66/5.32 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1)) <=> ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3427,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))))),
% 7.66/5.32 inference(monotonicity,[status(thm)],[3426])).
% 7.66/5.32 tff(3428,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 7.66/5.32 inference(transitivity,[status(thm)],[3427, 3425])).
% 7.66/5.32 tff(3429,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3430,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 7.66/5.32 tff(3431,plain,
% 7.66/5.32 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3430, 892, 3424])).
% 7.66/5.32 tff(3432,plain,
% 7.66/5.32 (m_main_v_state1(s38, c_c1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3431, 3413, 3337, 3405, 3398, 3345])).
% 7.66/5.32 tff(3433,plain,
% 7.66/5.32 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3434,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3435,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 7.66/5.32 tff(3436,plain,
% 7.66/5.32 (~m_main_v_state1(s38, c_t1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3435, 539, 3432])).
% 7.66/5.32 tff(3437,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3438,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3439,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 7.66/5.32 tff(3440,plain,
% 7.66/5.32 (~node5(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3439, 550, 3436])).
% 7.66/5.32 tff(3441,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3442,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3443,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3442, 3441])).
% 7.66/5.32 tff(3444,plain,
% 7.66/5.32 (node14(s37, s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3443, 46, 3420])).
% 7.66/5.32 tff(3445,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3446,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3447,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 7.66/5.32 tff(3448,plain,
% 7.66/5.32 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3447, 922, 3444])).
% 7.66/5.32 tff(3449,plain,
% 7.66/5.32 (m_main_v_state2(s38, c_t2)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3448, 3405, 3337])).
% 7.66/5.32 tff(3450,plain,
% 7.66/5.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3451,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3452,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 7.66/5.32 tff(3453,plain,
% 7.66/5.32 (~m_main_v_state2(s38, c_n2)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3452, 77, 3449])).
% 7.66/5.32 tff(3454,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3455,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3456,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 7.66/5.32 tff(3457,plain,
% 7.66/5.32 (~node4(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3456, 388, 3453])).
% 7.66/5.32 tff(3458,plain,
% 7.66/5.32 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3459,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3460,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 7.66/5.32 tff(3461,plain,
% 7.66/5.32 (~m_main_v_state2(s38, c_c2)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3460, 260, 3449])).
% 7.66/5.32 tff(3462,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3463,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3464,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 7.66/5.32 tff(3465,plain,
% 7.66/5.32 (~node3(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3464, 399, 3461])).
% 7.66/5.32 tff(3466,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3467,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3468,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 7.66/5.32 tff(3469,plain,
% 7.66/5.32 (~node2(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3468, 410, 3453])).
% 7.66/5.32 tff(3470,plain,
% 7.66/5.32 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3471,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3472,plain,
% 7.66/5.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 7.66/5.32 tff(3473,plain,
% 7.66/5.32 (~m_main_v_state1(s38, c_n1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3472, 454, 3432])).
% 7.66/5.32 tff(3474,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3475,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3476,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 7.66/5.32 tff(3477,plain,
% 7.66/5.32 (~node1(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3476, 421, 3473])).
% 7.66/5.32 tff(3478,plain,
% 7.66/5.32 (succ(s38, s39) <=> succ(s38, s39)),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3479,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 7.66/5.32 tff(3480,plain,
% 7.66/5.32 (succ(s38, s39)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 7.66/5.32 tff(3481,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3482,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3483,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 7.66/5.32 tff(3484,plain,
% 7.66/5.32 (trans(s38, s39)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3483, 3480, 32])).
% 7.66/5.32 tff(3485,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3486,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3487,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 7.66/5.32 tff(3488,plain,
% 7.66/5.32 (node7(s38, s39)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3487, 206, 3484])).
% 7.66/5.32 tff(3489,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3490,plain,
% 7.66/5.32 (((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1)) <=> (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3491,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))))),
% 7.66/5.32 inference(monotonicity,[status(thm)],[3490])).
% 7.66/5.32 tff(3492,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 7.66/5.32 inference(transitivity,[status(thm)],[3491, 3489])).
% 7.66/5.32 tff(3493,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3494,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 7.66/5.32 tff(3495,plain,
% 7.66/5.32 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3494, 584, 3488])).
% 7.66/5.32 tff(3496,plain,
% 7.66/5.32 (m_main_v_state1(s39, c_n1)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3495, 3477, 3432, 3469, 3465, 3457, 3440])).
% 7.66/5.32 tff(3497,plain,
% 7.66/5.32 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3498,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3499,plain,
% 7.66/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 7.66/5.32 tff(3500,plain,
% 7.66/5.32 (~node15(s37)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3499, 103, 3409])).
% 7.66/5.32 tff(3501,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38))),
% 7.66/5.32 inference(rewrite,[status(thm)],[])).
% 7.66/5.32 tff(3502,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 7.66/5.32 inference(quant_inst,[status(thm)],[])).
% 7.66/5.32 tff(3503,plain,
% 7.66/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 7.66/5.32 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 7.66/5.32 tff(3504,plain,
% 7.66/5.32 (node18(s37, s38)),
% 7.66/5.32 inference(unit_resolution,[status(thm)],[3503, 125, 3420])).
% 7.66/5.32 tff(3505,plain,
% 7.66/5.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3506,plain,
% 7.66/5.33 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1)) <=> (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3507,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)))),
% 7.66/5.33 inference(monotonicity,[status(thm)],[3506])).
% 7.66/5.33 tff(3508,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 7.66/5.33 inference(transitivity,[status(thm)],[3507, 3505])).
% 7.66/5.33 tff(3509,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3510,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 7.66/5.33 tff(3511,plain,
% 7.66/5.33 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3510, 992, 3504])).
% 7.66/5.33 tff(3512,plain,
% 7.66/5.33 (m_main_v_turn(s38, c_1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3511, 3500, 3337, 3405])).
% 7.66/5.33 tff(3513,plain,
% 7.66/5.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3514,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3515,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 7.66/5.33 tff(3516,plain,
% 7.66/5.33 (~m_main_v_turn(s38, c_2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3515, 156, 3512])).
% 7.66/5.33 tff(3517,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3518,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3519,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 7.66/5.33 tff(3520,plain,
% 7.66/5.33 (~node12(s38)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3519, 184, 3516])).
% 7.66/5.33 tff(3521,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3522,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3523,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 7.66/5.33 tff(3524,plain,
% 7.66/5.33 (~node8(s38)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3523, 271, 3453])).
% 7.66/5.33 tff(3525,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3526,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3527,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 7.66/5.33 tff(3528,plain,
% 7.66/5.33 (~node9(s38)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3527, 88, 3453])).
% 7.66/5.33 tff(3529,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3530,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3531,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 7.66/5.33 tff(3532,plain,
% 7.66/5.33 (~node10(s38)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3531, 249, 3453])).
% 7.66/5.33 tff(3533,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3534,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3535,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 7.66/5.33 tff(3536,plain,
% 7.66/5.33 (~node11(s38)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3535, 238, 3473])).
% 7.66/5.33 tff(3537,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3538,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3539,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 7.66/5.33 tff(3540,plain,
% 7.66/5.33 (node14(s38, s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3539, 46, 3484])).
% 7.66/5.33 tff(3541,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3542,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3543,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 7.66/5.33 tff(3544,plain,
% 7.66/5.33 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3543, 296, 3540])).
% 7.66/5.33 tff(3545,plain,
% 7.66/5.33 (node13(s38, s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3544, 3536, 3461, 3532, 3528, 3524, 3520])).
% 7.66/5.33 tff(3546,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3547,plain,
% 7.66/5.33 (((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2)) <=> ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3548,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))))),
% 7.66/5.33 inference(monotonicity,[status(thm)],[3547])).
% 7.66/5.33 tff(3549,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 7.66/5.33 inference(transitivity,[status(thm)],[3548, 3546])).
% 7.66/5.33 tff(3550,plain,
% 7.66/5.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3551,plain,
% 7.66/5.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 7.66/5.33 tff(3552,plain,
% 7.66/5.33 (m_main_v_state2(s39, c_t2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3551, 518, 3449, 3545])).
% 7.66/5.33 tff(3553,plain,
% 7.66/5.33 (succ(s39, s40) <=> succ(s39, s40)),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3554,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 7.66/5.33 tff(3555,plain,
% 7.66/5.33 (succ(s39, s40)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 7.66/5.33 tff(3556,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3557,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3558,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 7.66/5.33 tff(3559,plain,
% 7.66/5.33 (trans(s39, s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3558, 3555, 32])).
% 7.66/5.33 tff(3560,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3561,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3562,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 7.66/5.33 tff(3563,plain,
% 7.66/5.33 (node7(s39, s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3562, 206, 3559])).
% 7.66/5.33 tff(3564,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3565,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3566,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 7.66/5.33 tff(3567,plain,
% 7.66/5.33 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3566, 651, 3563])).
% 7.66/5.33 tff(3568,plain,
% 7.66/5.33 (m_main_v_state1(s40, c_t1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3567, 3552, 3496])).
% 7.66/5.33 tff(3569,plain,
% 7.66/5.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3570,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3571,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 7.66/5.33 tff(3572,plain,
% 7.66/5.33 (~m_main_v_state1(s40, c_n1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3571, 10, 3568])).
% 7.66/5.33 tff(3573,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3574,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3575,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 7.66/5.33 tff(3576,plain,
% 7.66/5.33 (~node1(s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3575, 421, 3572])).
% 7.66/5.33 tff(3577,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3578,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3579,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 7.66/5.33 tff(3580,plain,
% 7.66/5.33 (node18(s39, s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3579, 125, 3559])).
% 7.66/5.33 tff(3581,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3582,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3583,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 7.66/5.33 tff(3584,plain,
% 7.66/5.33 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3583, 760, 3580])).
% 7.66/5.33 tff(3585,plain,
% 7.66/5.33 (m_main_v_turn(s40, c_2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3584, 3552, 3496])).
% 7.66/5.33 tff(3586,plain,
% 7.66/5.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3587,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3588,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 7.66/5.33 tff(3589,plain,
% 7.66/5.33 (~m_main_v_turn(s40, c_1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3588, 156, 3585])).
% 7.66/5.33 tff(3590,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3591,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3592,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 7.66/5.33 tff(3593,plain,
% 7.66/5.33 (~node5(s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3592, 776, 3589])).
% 7.66/5.33 tff(3594,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3595,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3596,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 7.66/5.33 tff(3597,plain,
% 7.66/5.33 (~node2(s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3596, 787, 3572])).
% 7.66/5.33 tff(3598,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3599,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3600,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 7.66/5.33 tff(3601,plain,
% 7.66/5.33 (~node3(s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3600, 798, 3572])).
% 7.66/5.33 tff(3602,plain,
% 7.66/5.33 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3603,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3604,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 7.66/5.33 tff(3605,plain,
% 7.66/5.33 (~m_main_v_state1(s40, c_c1)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3604, 539, 3568])).
% 7.66/5.33 tff(3606,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3607,plain,
% 7.66/5.33 (((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2))) <=> (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3608,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))))),
% 7.66/5.33 inference(monotonicity,[status(thm)],[3607])).
% 7.66/5.33 tff(3609,plain,
% 7.66/5.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 7.66/5.33 inference(transitivity,[status(thm)],[3608, 3606])).
% 7.66/5.33 tff(3610,plain,
% 7.66/5.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3611,plain,
% 7.66/5.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 7.66/5.33 tff(3612,plain,
% 7.66/5.33 (~m_main_v_state2(s39, c_n2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3611, 311, 3453, 3545])).
% 7.66/5.33 tff(3613,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3614,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3615,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 7.66/5.33 tff(3616,plain,
% 7.66/5.33 (~node9(s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3615, 88, 3612])).
% 7.66/5.33 tff(3617,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3618,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3619,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 7.66/5.33 tff(3620,plain,
% 7.66/5.33 (~node10(s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3619, 249, 3612])).
% 7.66/5.33 tff(3621,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3622,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3623,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 7.66/5.33 tff(3624,plain,
% 7.66/5.33 (~node8(s39)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3623, 271, 3612])).
% 7.66/5.33 tff(3625,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3626,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3627,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 7.66/5.33 tff(3628,plain,
% 7.66/5.33 (node14(s39, s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3627, 46, 3559])).
% 7.66/5.33 tff(3629,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3630,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3631,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 7.66/5.33 tff(3632,plain,
% 7.66/5.33 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | m_main_v_state2(s40, c_c2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3631, 617, 3628])).
% 7.66/5.33 tff(3633,plain,
% 7.66/5.33 (m_main_v_state2(s40, c_c2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3632, 3624, 3496, 3552, 3620, 3616])).
% 7.66/5.33 tff(3634,plain,
% 7.66/5.33 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3635,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3636,plain,
% 7.66/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 7.66/5.33 tff(3637,plain,
% 7.66/5.33 (~m_main_v_state2(s40, c_n2)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3636, 697, 3633])).
% 7.66/5.33 tff(3638,plain,
% 7.66/5.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3639,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3640,plain,
% 7.66/5.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 7.66/5.33 tff(3641,plain,
% 7.66/5.33 (~node4(s40)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3640, 388, 3637])).
% 7.66/5.33 tff(3642,plain,
% 7.66/5.33 (succ(s40, s41) <=> succ(s40, s41)),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3643,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 7.66/5.33 tff(3644,plain,
% 7.66/5.33 (succ(s40, s41)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 7.66/5.33 tff(3645,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3646,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3647,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 7.66/5.33 tff(3648,plain,
% 7.66/5.33 (trans(s40, s41)),
% 7.66/5.33 inference(unit_resolution,[status(thm)],[3647, 3644, 32])).
% 7.66/5.33 tff(3649,plain,
% 7.66/5.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41))),
% 7.66/5.33 inference(rewrite,[status(thm)],[])).
% 7.66/5.33 tff(3650,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 7.66/5.33 inference(quant_inst,[status(thm)],[])).
% 7.66/5.33 tff(3651,plain,
% 7.66/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 7.66/5.33 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 7.66/5.34 tff(3652,plain,
% 7.66/5.34 (node7(s40, s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3651, 206, 3648])).
% 7.66/5.34 tff(3653,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3654,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3655,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 7.66/5.34 tff(3656,plain,
% 7.66/5.34 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3655, 820, 3652])).
% 7.66/5.34 tff(3657,plain,
% 7.66/5.34 (node6(s40, s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3656, 3641, 3605, 3601, 3597, 3593, 3576])).
% 7.66/5.34 tff(3658,plain,
% 7.66/5.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3659,plain,
% 7.66/5.34 (((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1)) <=> ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3660,plain,
% 7.66/5.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))))),
% 7.66/5.34 inference(monotonicity,[status(thm)],[3659])).
% 7.66/5.34 tff(3661,plain,
% 7.66/5.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 7.66/5.34 inference(transitivity,[status(thm)],[3660, 3658])).
% 7.66/5.34 tff(3662,plain,
% 7.66/5.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3663,plain,
% 7.66/5.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 7.66/5.34 tff(3664,plain,
% 7.66/5.34 (m_main_v_state1(s41, c_t1)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3663, 856, 3568, 3657])).
% 7.66/5.34 tff(3665,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3666,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3667,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 7.66/5.34 tff(3668,plain,
% 7.66/5.34 (~m_main_v_state2(s40, c_t2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3667, 260, 3633])).
% 7.66/5.34 tff(3669,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3670,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3671,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 7.66/5.34 tff(3672,plain,
% 7.66/5.34 (~node12(s40)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3671, 633, 3668])).
% 7.66/5.34 tff(3673,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3674,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3675,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 7.66/5.34 tff(3676,plain,
% 7.66/5.34 (~node11(s40)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3675, 238, 3572])).
% 7.66/5.34 tff(3677,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3678,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3679,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 7.66/5.34 tff(3680,plain,
% 7.66/5.34 (~node10(s40)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3679, 675, 3605])).
% 7.66/5.34 tff(3681,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3682,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3683,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 7.66/5.34 tff(3684,plain,
% 7.66/5.34 (~node9(s40)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3683, 686, 3572])).
% 7.66/5.34 tff(3685,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3686,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3687,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 7.66/5.34 tff(3688,plain,
% 7.66/5.34 (~node8(s40)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3687, 271, 3637])).
% 7.66/5.34 tff(3689,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3690,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3691,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 7.66/5.34 tff(3692,plain,
% 7.66/5.34 (node14(s40, s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3691, 46, 3648])).
% 7.66/5.34 tff(3693,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3694,plain,
% 7.66/5.34 (((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2)) <=> (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3695,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))))),
% 7.66/5.34 inference(monotonicity,[status(thm)],[3694])).
% 7.66/5.34 tff(3696,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 7.66/5.34 inference(transitivity,[status(thm)],[3695, 3693])).
% 7.66/5.34 tff(3697,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3698,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 7.66/5.34 tff(3699,plain,
% 7.66/5.34 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3698, 726, 3692])).
% 7.66/5.34 tff(3700,plain,
% 7.66/5.34 (m_main_v_state2(s41, c_n2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3699, 3688, 3633, 3684, 3680, 3676, 3672])).
% 7.66/5.34 tff(3701,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3702,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3703,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 7.66/5.34 tff(3704,plain,
% 7.66/5.34 (~m_main_v_state2(s41, c_t2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3703, 77, 3700])).
% 7.66/5.34 tff(3705,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3706,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3707,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 7.66/5.34 tff(3708,plain,
% 7.66/5.34 (~node15(s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3707, 103, 3704])).
% 7.66/5.34 tff(3709,plain,
% 7.66/5.34 (succ(s41, s42) <=> succ(s41, s42)),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3710,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 7.66/5.34 tff(3711,plain,
% 7.66/5.34 (succ(s41, s42)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 7.66/5.34 tff(3712,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3713,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3714,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 7.66/5.34 tff(3715,plain,
% 7.66/5.34 (trans(s41, s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3714, 3711, 32])).
% 7.66/5.34 tff(3716,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3717,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3718,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 7.66/5.34 tff(3719,plain,
% 7.66/5.34 (node18(s41, s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3718, 125, 3715])).
% 7.66/5.34 tff(3720,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3721,plain,
% 7.66/5.34 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1)) <=> (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3722,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)))),
% 7.66/5.34 inference(monotonicity,[status(thm)],[3721])).
% 7.66/5.34 tff(3723,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 7.66/5.34 inference(transitivity,[status(thm)],[3722, 3720])).
% 7.66/5.34 tff(3724,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3725,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 7.66/5.34 tff(3726,plain,
% 7.66/5.34 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3725, 992, 3719])).
% 7.66/5.34 tff(3727,plain,
% 7.66/5.34 (m_main_v_turn(s42, c_1)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3726, 3708, 3700, 3664])).
% 7.66/5.34 tff(3728,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3729,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3730,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 7.66/5.34 tff(3731,plain,
% 7.66/5.34 (~m_main_v_turn(s42, c_2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3730, 156, 3727])).
% 7.66/5.34 tff(3732,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3733,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3734,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 7.66/5.34 tff(3735,plain,
% 7.66/5.34 (~node12(s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3734, 184, 3731])).
% 7.66/5.34 tff(3736,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3737,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3738,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 7.66/5.34 tff(3739,plain,
% 7.66/5.34 (node14(s41, s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3738, 46, 3715])).
% 7.66/5.34 tff(3740,plain,
% 7.66/5.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3741,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3742,plain,
% 7.66/5.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 7.66/5.34 tff(3743,plain,
% 7.66/5.34 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3742, 922, 3739])).
% 7.66/5.34 tff(3744,plain,
% 7.66/5.34 (m_main_v_state2(s42, c_t2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3743, 3664, 3700])).
% 7.66/5.34 tff(3745,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3746,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3747,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 7.66/5.34 tff(3748,plain,
% 7.66/5.34 (~m_main_v_state2(s42, c_n2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3747, 77, 3744])).
% 7.66/5.34 tff(3749,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3750,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3751,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 7.66/5.34 tff(3752,plain,
% 7.66/5.34 (~node8(s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3751, 271, 3748])).
% 7.66/5.34 tff(3753,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3754,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3755,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 7.66/5.34 tff(3756,plain,
% 7.66/5.34 (~node9(s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3755, 88, 3748])).
% 7.66/5.34 tff(3757,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3758,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3759,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 7.66/5.34 tff(3760,plain,
% 7.66/5.34 (~node10(s42)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3759, 249, 3748])).
% 7.66/5.34 tff(3761,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3762,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3763,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 7.66/5.34 tff(3764,plain,
% 7.66/5.34 (~m_main_v_state2(s42, c_c2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3763, 260, 3744])).
% 7.66/5.34 tff(3765,plain,
% 7.66/5.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3766,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3767,plain,
% 7.66/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 7.66/5.34 tff(3768,plain,
% 7.66/5.34 (~m_main_v_state2(s41, c_c2)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3767, 697, 3700])).
% 7.66/5.34 tff(3769,plain,
% 7.66/5.34 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 7.66/5.34 inference(rewrite,[status(thm)],[])).
% 7.66/5.34 tff(3770,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 7.66/5.34 inference(quant_inst,[status(thm)],[])).
% 7.66/5.34 tff(3771,plain,
% 7.66/5.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 7.66/5.34 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 7.66/5.34 tff(3772,plain,
% 7.66/5.34 (~node3(s41)),
% 7.66/5.34 inference(unit_resolution,[status(thm)],[3771, 399, 3768])).
% 7.66/5.34 tff(3773,plain,
% 7.66/5.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3774,plain,
% 7.66/5.35 (((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1))) <=> (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3775,plain,
% 7.66/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))))),
% 7.66/5.35 inference(monotonicity,[status(thm)],[3774])).
% 7.66/5.35 tff(3776,plain,
% 7.66/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 7.66/5.35 inference(transitivity,[status(thm)],[3775, 3773])).
% 7.66/5.35 tff(3777,plain,
% 7.66/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3778,plain,
% 7.66/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 7.66/5.35 tff(3779,plain,
% 7.66/5.35 (~m_main_v_state1(s41, c_n1)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3778, 835, 3572, 3657])).
% 7.66/5.35 tff(3780,plain,
% 7.66/5.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3781,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3782,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 7.66/5.35 tff(3783,plain,
% 7.66/5.35 (~node2(s41)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3782, 787, 3779])).
% 7.66/5.35 tff(3784,plain,
% 7.66/5.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3785,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3786,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 7.66/5.35 tff(3787,plain,
% 7.66/5.35 (~node1(s41)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3786, 195, 3704])).
% 7.66/5.35 tff(3788,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3789,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3790,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 7.66/5.35 tff(3791,plain,
% 7.66/5.35 (node7(s41, s42)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3790, 206, 3715])).
% 7.66/5.35 tff(3792,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3793,plain,
% 7.66/5.35 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1)) <=> ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3794,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))))),
% 7.66/5.35 inference(monotonicity,[status(thm)],[3793])).
% 7.66/5.35 tff(3795,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 7.66/5.35 inference(transitivity,[status(thm)],[3794, 3792])).
% 7.66/5.35 tff(3796,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3797,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 7.66/5.35 tff(3798,plain,
% 7.66/5.35 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3797, 892, 3791])).
% 7.66/5.35 tff(3799,plain,
% 7.66/5.35 (m_main_v_state1(s42, c_c1)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3798, 3787, 3700, 3664, 3783, 3772])).
% 7.66/5.35 tff(3800,plain,
% 7.66/5.35 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3801,plain,
% 7.66/5.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3802,plain,
% 7.66/5.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 7.66/5.35 tff(3803,plain,
% 7.66/5.35 (~m_main_v_state1(s42, c_n1)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3802, 454, 3799])).
% 7.66/5.35 tff(3804,plain,
% 7.66/5.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3805,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3806,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 7.66/5.35 tff(3807,plain,
% 7.66/5.35 (~node11(s42)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3806, 238, 3803])).
% 7.66/5.35 tff(3808,plain,
% 7.66/5.35 (succ(s42, s43) <=> succ(s42, s43)),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3809,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 7.66/5.35 tff(3810,plain,
% 7.66/5.35 (succ(s42, s43)),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 7.66/5.35 tff(3811,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3812,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3813,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 7.66/5.35 tff(3814,plain,
% 7.66/5.35 (trans(s42, s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3813, 3810, 32])).
% 7.66/5.35 tff(3815,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3816,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3817,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 7.66/5.35 tff(3818,plain,
% 7.66/5.35 (node14(s42, s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3817, 46, 3814])).
% 7.66/5.35 tff(3819,plain,
% 7.66/5.35 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3820,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3821,plain,
% 7.66/5.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 7.66/5.35 tff(3822,plain,
% 7.66/5.35 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3821, 296, 3818])).
% 7.66/5.35 tff(3823,plain,
% 7.66/5.35 (node13(s42, s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3822, 3807, 3764, 3760, 3756, 3752, 3735])).
% 7.66/5.35 tff(3824,plain,
% 7.66/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3825,plain,
% 7.66/5.35 (((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2))) <=> (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3826,plain,
% 7.66/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))))),
% 7.66/5.35 inference(monotonicity,[status(thm)],[3825])).
% 7.66/5.35 tff(3827,plain,
% 7.66/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 7.66/5.35 inference(transitivity,[status(thm)],[3826, 3824])).
% 7.66/5.35 tff(3828,plain,
% 7.66/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3829,plain,
% 7.66/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 7.66/5.35 tff(3830,plain,
% 7.66/5.35 (~m_main_v_state2(s43, c_n2)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3829, 311, 3748, 3823])).
% 7.66/5.35 tff(3831,plain,
% 7.66/5.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3832,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3833,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 7.66/5.35 tff(3834,plain,
% 7.66/5.35 (~node9(s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3833, 88, 3830])).
% 7.66/5.35 tff(3835,plain,
% 7.66/5.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 7.66/5.35 inference(rewrite,[status(thm)],[])).
% 7.66/5.35 tff(3836,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 7.66/5.35 inference(quant_inst,[status(thm)],[])).
% 7.66/5.35 tff(3837,plain,
% 7.66/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 7.66/5.35 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 7.66/5.35 tff(3838,plain,
% 7.66/5.35 (~node10(s43)),
% 7.66/5.35 inference(unit_resolution,[status(thm)],[3837, 249, 3830])).
% 7.73/5.35 tff(3839,plain,
% 7.73/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3840,plain,
% 7.73/5.35 (((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2)) <=> ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3841,plain,
% 7.73/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))))),
% 7.73/5.35 inference(monotonicity,[status(thm)],[3840])).
% 7.73/5.35 tff(3842,plain,
% 7.73/5.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 7.73/5.35 inference(transitivity,[status(thm)],[3841, 3839])).
% 7.73/5.35 tff(3843,plain,
% 7.73/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3844,plain,
% 7.73/5.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 7.73/5.35 tff(3845,plain,
% 7.73/5.35 (m_main_v_state2(s43, c_t2)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3844, 518, 3744, 3823])).
% 7.73/5.35 tff(3846,plain,
% 7.73/5.35 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3847,plain,
% 7.73/5.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3848,plain,
% 7.73/5.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 7.73/5.35 tff(3849,plain,
% 7.73/5.35 (~m_main_v_state1(s42, c_t1)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3848, 539, 3799])).
% 7.73/5.35 tff(3850,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3851,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3852,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 7.73/5.35 tff(3853,plain,
% 7.73/5.35 (~node5(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3852, 550, 3849])).
% 7.73/5.35 tff(3854,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3855,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3856,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 7.73/5.35 tff(3857,plain,
% 7.73/5.35 (~node4(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3856, 388, 3748])).
% 7.73/5.35 tff(3858,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3859,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3860,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 7.73/5.35 tff(3861,plain,
% 7.73/5.35 (~node3(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3860, 399, 3764])).
% 7.73/5.35 tff(3862,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3863,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3864,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 7.73/5.35 tff(3865,plain,
% 7.73/5.35 (~node2(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3864, 410, 3748])).
% 7.73/5.35 tff(3866,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3867,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3868,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 7.73/5.35 tff(3869,plain,
% 7.73/5.35 (~node1(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3868, 421, 3803])).
% 7.73/5.35 tff(3870,plain,
% 7.73/5.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3871,plain,
% 7.73/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3872,plain,
% 7.73/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 7.73/5.35 tff(3873,plain,
% 7.73/5.35 (node7(s42, s43)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3872, 206, 3814])).
% 7.73/5.35 tff(3874,plain,
% 7.73/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3875,plain,
% 7.73/5.35 (((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1)) <=> (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3876,plain,
% 7.73/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))))),
% 7.73/5.35 inference(monotonicity,[status(thm)],[3875])).
% 7.73/5.35 tff(3877,plain,
% 7.73/5.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 7.73/5.35 inference(transitivity,[status(thm)],[3876, 3874])).
% 7.73/5.35 tff(3878,plain,
% 7.73/5.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3879,plain,
% 7.73/5.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 7.73/5.35 tff(3880,plain,
% 7.73/5.35 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3879, 584, 3873])).
% 7.73/5.35 tff(3881,plain,
% 7.73/5.35 (m_main_v_state1(s43, c_n1)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3880, 3869, 3799, 3865, 3861, 3857, 3853])).
% 7.73/5.35 tff(3882,plain,
% 7.73/5.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3883,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 7.73/5.35 inference(quant_inst,[status(thm)],[])).
% 7.73/5.35 tff(3884,plain,
% 7.73/5.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 7.73/5.35 tff(3885,plain,
% 7.73/5.35 (~node8(s43)),
% 7.73/5.35 inference(unit_resolution,[status(thm)],[3884, 271, 3830])).
% 7.73/5.35 tff(3886,plain,
% 7.73/5.35 (succ(s43, s44) <=> succ(s43, s44)),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3887,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 7.73/5.35 tff(3888,plain,
% 7.73/5.35 (succ(s43, s44)),
% 7.73/5.35 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 7.73/5.35 tff(3889,plain,
% 7.73/5.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44))),
% 7.73/5.35 inference(rewrite,[status(thm)],[])).
% 7.73/5.35 tff(3890,plain,
% 7.73/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3891,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 7.73/5.36 tff(3892,plain,
% 7.73/5.36 (trans(s43, s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3891, 3888, 32])).
% 7.73/5.36 tff(3893,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3894,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3895,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 7.73/5.36 tff(3896,plain,
% 7.73/5.36 (node14(s43, s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3895, 46, 3892])).
% 7.73/5.36 tff(3897,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3898,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3899,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 7.73/5.36 tff(3900,plain,
% 7.73/5.36 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | m_main_v_state2(s44, c_c2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3899, 617, 3896])).
% 7.73/5.36 tff(3901,plain,
% 7.73/5.36 (m_main_v_state2(s44, c_c2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3900, 3885, 3881, 3845, 3838, 3834])).
% 7.73/5.36 tff(3902,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3903,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3904,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 7.73/5.36 tff(3905,plain,
% 7.73/5.36 (~m_main_v_state2(s44, c_t2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3904, 260, 3901])).
% 7.73/5.36 tff(3906,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3907,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3908,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 7.73/5.36 tff(3909,plain,
% 7.73/5.36 (~node12(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3908, 633, 3905])).
% 7.73/5.36 tff(3910,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3911,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3912,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 7.73/5.36 tff(3913,plain,
% 7.73/5.36 (node7(s43, s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3912, 206, 3892])).
% 7.73/5.36 tff(3914,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3915,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3916,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 7.73/5.36 tff(3917,plain,
% 7.73/5.36 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3916, 651, 3913])).
% 7.73/5.36 tff(3918,plain,
% 7.73/5.36 (m_main_v_state1(s44, c_t1)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3917, 3845, 3881])).
% 7.73/5.36 tff(3919,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3920,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3921,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 7.73/5.36 tff(3922,plain,
% 7.73/5.36 (~m_main_v_state1(s44, c_n1)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3921, 10, 3918])).
% 7.73/5.36 tff(3923,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3924,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3925,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 7.73/5.36 tff(3926,plain,
% 7.73/5.36 (~node11(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3925, 238, 3922])).
% 7.73/5.36 tff(3927,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3928,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3929,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 7.73/5.36 tff(3930,plain,
% 7.73/5.36 (~m_main_v_state1(s44, c_c1)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3929, 539, 3918])).
% 7.73/5.36 tff(3931,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3932,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3933,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 7.73/5.36 tff(3934,plain,
% 7.73/5.36 (~node10(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3933, 675, 3930])).
% 7.73/5.36 tff(3935,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3936,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3937,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 7.73/5.36 tff(3938,plain,
% 7.73/5.36 (~node9(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3937, 686, 3922])).
% 7.73/5.36 tff(3939,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3940,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3941,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 7.73/5.36 tff(3942,plain,
% 7.73/5.36 (~m_main_v_state2(s44, c_n2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3941, 697, 3901])).
% 7.73/5.36 tff(3943,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3944,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3945,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 7.73/5.36 tff(3946,plain,
% 7.73/5.36 (~node8(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3945, 271, 3942])).
% 7.73/5.36 tff(3947,plain,
% 7.73/5.36 (succ(s44, s45) <=> succ(s44, s45)),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3948,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 7.73/5.36 tff(3949,plain,
% 7.73/5.36 (succ(s44, s45)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 7.73/5.36 tff(3950,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3951,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3952,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 7.73/5.36 tff(3953,plain,
% 7.73/5.36 (trans(s44, s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3952, 3949, 32])).
% 7.73/5.36 tff(3954,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3955,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3956,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 7.73/5.36 tff(3957,plain,
% 7.73/5.36 (node14(s44, s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3956, 46, 3953])).
% 7.73/5.36 tff(3958,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3959,plain,
% 7.73/5.36 (((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2)) <=> (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3960,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))))),
% 7.73/5.36 inference(monotonicity,[status(thm)],[3959])).
% 7.73/5.36 tff(3961,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 7.73/5.36 inference(transitivity,[status(thm)],[3960, 3958])).
% 7.73/5.36 tff(3962,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3963,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 7.73/5.36 tff(3964,plain,
% 7.73/5.36 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3963, 726, 3957])).
% 7.73/5.36 tff(3965,plain,
% 7.73/5.36 (m_main_v_state2(s45, c_n2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3964, 3946, 3901, 3938, 3934, 3926, 3909])).
% 7.73/5.36 tff(3966,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3967,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3968,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 7.73/5.36 tff(3969,plain,
% 7.73/5.36 (~m_main_v_state2(s45, c_c2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3968, 697, 3965])).
% 7.73/5.36 tff(3970,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3971,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3972,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 7.73/5.36 tff(3973,plain,
% 7.73/5.36 (~node3(s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3972, 399, 3969])).
% 7.73/5.36 tff(3974,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3975,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3976,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 7.73/5.36 tff(3977,plain,
% 7.73/5.36 (~node1(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3976, 421, 3922])).
% 7.73/5.36 tff(3978,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3979,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3980,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 7.73/5.36 tff(3981,plain,
% 7.73/5.36 (node18(s43, s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3980, 125, 3892])).
% 7.73/5.36 tff(3982,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3983,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3984,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 7.73/5.36 tff(3985,plain,
% 7.73/5.36 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3984, 760, 3981])).
% 7.73/5.36 tff(3986,plain,
% 7.73/5.36 (m_main_v_turn(s44, c_2)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3985, 3845, 3881])).
% 7.73/5.36 tff(3987,plain,
% 7.73/5.36 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3988,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3989,plain,
% 7.73/5.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 7.73/5.36 tff(3990,plain,
% 7.73/5.36 (~m_main_v_turn(s44, c_1)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3989, 156, 3986])).
% 7.73/5.36 tff(3991,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3992,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3993,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 7.73/5.36 tff(3994,plain,
% 7.73/5.36 (~node5(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3993, 776, 3990])).
% 7.73/5.36 tff(3995,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(3996,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(3997,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 7.73/5.36 tff(3998,plain,
% 7.73/5.36 (~node2(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[3997, 787, 3922])).
% 7.73/5.36 tff(3999,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(4000,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(4001,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 7.73/5.36 tff(4002,plain,
% 7.73/5.36 (~node3(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[4001, 798, 3922])).
% 7.73/5.36 tff(4003,plain,
% 7.73/5.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(4004,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(4005,plain,
% 7.73/5.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 7.73/5.36 tff(4006,plain,
% 7.73/5.36 (~node4(s44)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[4005, 388, 3942])).
% 7.73/5.36 tff(4007,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(4008,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(4009,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 7.73/5.36 tff(4010,plain,
% 7.73/5.36 (node7(s44, s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[4009, 206, 3953])).
% 7.73/5.36 tff(4011,plain,
% 7.73/5.36 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(4012,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 7.73/5.36 inference(quant_inst,[status(thm)],[])).
% 7.73/5.36 tff(4013,plain,
% 7.73/5.36 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45))),
% 7.73/5.36 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 7.73/5.36 tff(4014,plain,
% 7.73/5.36 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[4013, 820, 4010])).
% 7.73/5.36 tff(4015,plain,
% 7.73/5.36 (node6(s44, s45)),
% 7.73/5.36 inference(unit_resolution,[status(thm)],[4014, 4006, 3930, 4002, 3998, 3994, 3977])).
% 7.73/5.36 tff(4016,plain,
% 7.73/5.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.36 tff(4017,plain,
% 7.73/5.36 (((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1))) <=> (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 7.73/5.36 inference(rewrite,[status(thm)],[])).
% 7.73/5.37 tff(4018,plain,
% 7.73/5.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))))),
% 7.73/5.37 inference(monotonicity,[status(thm)],[4017])).
% 7.73/5.37 tff(4019,plain,
% 7.73/5.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 7.73/5.37 inference(transitivity,[status(thm)],[4018, 4016])).
% 7.73/5.37 tff(4020,plain,
% 7.73/5.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))),
% 7.73/5.37 inference(quant_inst,[status(thm)],[])).
% 7.73/5.37 tff(4021,plain,
% 7.73/5.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))),
% 7.73/5.37 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 7.73/5.37 tff(4022,plain,
% 7.73/5.37 (~m_main_v_state1(s45, c_n1)),
% 7.73/5.37 inference(unit_resolution,[status(thm)],[4021, 835, 3922, 4015])).
% 7.73/5.37 tff(4023,plain,
% 7.73/5.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 7.73/5.37 inference(rewrite,[status(thm)],[])).
% 7.73/5.37 tff(4024,plain,
% 7.73/5.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 7.73/5.37 inference(quant_inst,[status(thm)],[])).
% 7.73/5.37 tff(4025,plain,
% 7.73/5.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 7.73/5.37 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 7.73/5.37 tff(4026,plain,
% 7.73/5.37 (~node2(s45)),
% 7.73/5.37 inference(unit_resolution,[status(thm)],[4025, 787, 4022])).
% 7.73/5.37 tff(4027,plain,
% 7.73/5.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 7.73/5.37 inference(rewrite,[status(thm)],[])).
% 7.73/5.37 tff(4028,plain,
% 7.73/5.37 (((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1)) <=> ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 7.73/5.37 inference(rewrite,[status(thm)],[])).
% 7.73/5.37 tff(4029,plain,
% 7.73/5.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))))),
% 7.73/5.37 inference(monotonicity,[status(thm)],[4028])).
% 7.73/5.37 tff(4030,plain,
% 7.73/5.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 7.73/5.37 inference(transitivity,[status(thm)],[4029, 4027])).
% 7.73/5.37 tff(4031,plain,
% 7.73/5.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))),
% 7.73/5.37 inference(quant_inst,[status(thm)],[])).
% 7.73/5.37 tff(4032,plain,
% 7.73/5.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 7.74/5.37 tff(4033,plain,
% 7.74/5.37 (m_main_v_state1(s45, c_t1)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4032, 856, 3918, 4015])).
% 7.74/5.37 tff(4034,plain,
% 7.74/5.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4035,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4036,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 7.74/5.37 tff(4037,plain,
% 7.74/5.37 (~m_main_v_state2(s45, c_t2)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4036, 77, 3965])).
% 7.74/5.37 tff(4038,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4039,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4040,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 7.74/5.37 tff(4041,plain,
% 7.74/5.37 (~node1(s45)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4040, 195, 4037])).
% 7.74/5.37 tff(4042,plain,
% 7.74/5.37 (succ(s45, s46) <=> succ(s45, s46)),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4043,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 7.74/5.37 tff(4044,plain,
% 7.74/5.37 (succ(s45, s46)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 7.74/5.37 tff(4045,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4046,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4047,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 7.74/5.37 tff(4048,plain,
% 7.74/5.37 (trans(s45, s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4047, 4044, 32])).
% 7.74/5.37 tff(4049,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4050,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4051,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 7.74/5.37 tff(4052,plain,
% 7.74/5.37 (node7(s45, s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4051, 206, 4048])).
% 7.74/5.37 tff(4053,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4054,plain,
% 7.74/5.37 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1)) <=> ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4055,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))))),
% 7.74/5.37 inference(monotonicity,[status(thm)],[4054])).
% 7.74/5.37 tff(4056,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 7.74/5.37 inference(transitivity,[status(thm)],[4055, 4053])).
% 7.74/5.37 tff(4057,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4058,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 7.74/5.37 tff(4059,plain,
% 7.74/5.37 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4058, 892, 4052])).
% 7.74/5.37 tff(4060,plain,
% 7.74/5.37 (m_main_v_state1(s46, c_c1)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4059, 4041, 3965, 4033, 4026, 3973])).
% 7.74/5.37 tff(4061,plain,
% 7.74/5.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4062,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4063,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4062, 4061])).
% 7.74/5.37 tff(4064,plain,
% 7.74/5.37 (~m_main_v_state1(s46, c_t1)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4063, 539, 4060])).
% 7.74/5.37 tff(4065,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4066,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4067,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4066, 4065])).
% 7.74/5.37 tff(4068,plain,
% 7.74/5.37 (~node5(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4067, 550, 4064])).
% 7.74/5.37 tff(4069,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4070,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4071,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 7.74/5.37 tff(4072,plain,
% 7.74/5.37 (node14(s45, s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4071, 46, 4048])).
% 7.74/5.37 tff(4073,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4074,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4075,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 7.74/5.37 tff(4076,plain,
% 7.74/5.37 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4075, 922, 4072])).
% 7.74/5.37 tff(4077,plain,
% 7.74/5.37 (m_main_v_state2(s46, c_t2)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4076, 4033, 3965])).
% 7.74/5.37 tff(4078,plain,
% 7.74/5.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4079,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4080,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 7.74/5.37 tff(4081,plain,
% 7.74/5.37 (~m_main_v_state2(s46, c_n2)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4080, 77, 4077])).
% 7.74/5.37 tff(4082,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4083,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4084,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 7.74/5.37 tff(4085,plain,
% 7.74/5.37 (~node4(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4084, 388, 4081])).
% 7.74/5.37 tff(4086,plain,
% 7.74/5.37 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4087,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4088,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 7.74/5.37 tff(4089,plain,
% 7.74/5.37 (~m_main_v_state2(s46, c_c2)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4088, 260, 4077])).
% 7.74/5.37 tff(4090,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4091,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4092,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 7.74/5.37 tff(4093,plain,
% 7.74/5.37 (~node3(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4092, 399, 4089])).
% 7.74/5.37 tff(4094,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4095,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4096,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 7.74/5.37 tff(4097,plain,
% 7.74/5.37 (~node2(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4096, 410, 4081])).
% 7.74/5.37 tff(4098,plain,
% 7.74/5.37 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4099,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4100,plain,
% 7.74/5.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 7.74/5.37 tff(4101,plain,
% 7.74/5.37 (~m_main_v_state1(s46, c_n1)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4100, 454, 4060])).
% 7.74/5.37 tff(4102,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4103,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4104,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 7.74/5.37 tff(4105,plain,
% 7.74/5.37 (~node1(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4104, 421, 4101])).
% 7.74/5.37 tff(4106,plain,
% 7.74/5.37 (succ(s46, s47) <=> succ(s46, s47)),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4107,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 7.74/5.37 tff(4108,plain,
% 7.74/5.37 (succ(s46, s47)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 7.74/5.37 tff(4109,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4110,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4111,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 7.74/5.37 tff(4112,plain,
% 7.74/5.37 (trans(s46, s47)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4111, 4108, 32])).
% 7.74/5.37 tff(4113,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4114,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4115,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 7.74/5.37 tff(4116,plain,
% 7.74/5.37 (node7(s46, s47)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4115, 206, 4112])).
% 7.74/5.37 tff(4117,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4118,plain,
% 7.74/5.37 (((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1)) <=> (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4119,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))))),
% 7.74/5.37 inference(monotonicity,[status(thm)],[4118])).
% 7.74/5.37 tff(4120,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 7.74/5.37 inference(transitivity,[status(thm)],[4119, 4117])).
% 7.74/5.37 tff(4121,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4122,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 7.74/5.37 tff(4123,plain,
% 7.74/5.37 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4122, 584, 4116])).
% 7.74/5.37 tff(4124,plain,
% 7.74/5.37 (m_main_v_state1(s47, c_n1)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4123, 4105, 4060, 4097, 4093, 4085, 4068])).
% 7.74/5.37 tff(4125,plain,
% 7.74/5.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4126,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4127,plain,
% 7.74/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 7.74/5.37 tff(4128,plain,
% 7.74/5.37 (~node15(s45)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4127, 103, 4037])).
% 7.74/5.37 tff(4129,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4130,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 7.74/5.37 inference(quant_inst,[status(thm)],[])).
% 7.74/5.37 tff(4131,plain,
% 7.74/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 7.74/5.37 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 7.74/5.37 tff(4132,plain,
% 7.74/5.37 (node18(s45, s46)),
% 7.74/5.37 inference(unit_resolution,[status(thm)],[4131, 125, 4048])).
% 7.74/5.37 tff(4133,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4134,plain,
% 7.74/5.37 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1)) <=> (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 7.74/5.37 inference(rewrite,[status(thm)],[])).
% 7.74/5.37 tff(4135,plain,
% 7.74/5.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)))),
% 7.74/5.38 inference(monotonicity,[status(thm)],[4134])).
% 7.74/5.38 tff(4136,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 7.74/5.38 inference(transitivity,[status(thm)],[4135, 4133])).
% 7.74/5.38 tff(4137,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4138,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 7.74/5.38 tff(4139,plain,
% 7.74/5.38 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4138, 992, 4132])).
% 7.74/5.38 tff(4140,plain,
% 7.74/5.38 (m_main_v_turn(s46, c_1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4139, 4128, 3965, 4033])).
% 7.74/5.38 tff(4141,plain,
% 7.74/5.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4142,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4143,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 7.74/5.38 tff(4144,plain,
% 7.74/5.38 (~m_main_v_turn(s46, c_2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4143, 156, 4140])).
% 7.74/5.38 tff(4145,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4146,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4147,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 7.74/5.38 tff(4148,plain,
% 7.74/5.38 (~node12(s46)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4147, 184, 4144])).
% 7.74/5.38 tff(4149,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4150,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4151,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 7.74/5.38 tff(4152,plain,
% 7.74/5.38 (~node8(s46)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4151, 271, 4081])).
% 7.74/5.38 tff(4153,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4154,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4155,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 7.74/5.38 tff(4156,plain,
% 7.74/5.38 (~node9(s46)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4155, 88, 4081])).
% 7.74/5.38 tff(4157,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4158,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4159,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 7.74/5.38 tff(4160,plain,
% 7.74/5.38 (~node10(s46)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4159, 249, 4081])).
% 7.74/5.38 tff(4161,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4162,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4163,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 7.74/5.38 tff(4164,plain,
% 7.74/5.38 (~node11(s46)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4163, 238, 4101])).
% 7.74/5.38 tff(4165,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4166,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4167,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 7.74/5.38 tff(4168,plain,
% 7.74/5.38 (node14(s46, s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4167, 46, 4112])).
% 7.74/5.38 tff(4169,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4170,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4171,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 7.74/5.38 tff(4172,plain,
% 7.74/5.38 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4171, 296, 4168])).
% 7.74/5.38 tff(4173,plain,
% 7.74/5.38 (node13(s46, s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4172, 4164, 4089, 4160, 4156, 4152, 4148])).
% 7.74/5.38 tff(4174,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4175,plain,
% 7.74/5.38 (((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2)) <=> ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4176,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))))),
% 7.74/5.38 inference(monotonicity,[status(thm)],[4175])).
% 7.74/5.38 tff(4177,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 7.74/5.38 inference(transitivity,[status(thm)],[4176, 4174])).
% 7.74/5.38 tff(4178,plain,
% 7.74/5.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4179,plain,
% 7.74/5.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 7.74/5.38 tff(4180,plain,
% 7.74/5.38 (m_main_v_state2(s47, c_t2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4179, 518, 4077, 4173])).
% 7.74/5.38 tff(4181,plain,
% 7.74/5.38 (succ(s47, s48) <=> succ(s47, s48)),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4182,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 7.74/5.38 tff(4183,plain,
% 7.74/5.38 (succ(s47, s48)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 7.74/5.38 tff(4184,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4185,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4186,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 7.74/5.38 tff(4187,plain,
% 7.74/5.38 (trans(s47, s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4186, 4183, 32])).
% 7.74/5.38 tff(4188,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4189,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4190,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 7.74/5.38 tff(4191,plain,
% 7.74/5.38 (node7(s47, s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4190, 206, 4187])).
% 7.74/5.38 tff(4192,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4193,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4194,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 7.74/5.38 tff(4195,plain,
% 7.74/5.38 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4194, 651, 4191])).
% 7.74/5.38 tff(4196,plain,
% 7.74/5.38 (m_main_v_state1(s48, c_t1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4195, 4180, 4124])).
% 7.74/5.38 tff(4197,plain,
% 7.74/5.38 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4198,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4199,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 7.74/5.38 tff(4200,plain,
% 7.74/5.38 (~m_main_v_state1(s48, c_n1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4199, 10, 4196])).
% 7.74/5.38 tff(4201,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4202,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4203,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 7.74/5.38 tff(4204,plain,
% 7.74/5.38 (~node1(s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4203, 421, 4200])).
% 7.74/5.38 tff(4205,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4206,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4207,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 7.74/5.38 tff(4208,plain,
% 7.74/5.38 (node18(s47, s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4207, 125, 4187])).
% 7.74/5.38 tff(4209,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4210,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4211,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 7.74/5.38 tff(4212,plain,
% 7.74/5.38 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4211, 760, 4208])).
% 7.74/5.38 tff(4213,plain,
% 7.74/5.38 (m_main_v_turn(s48, c_2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4212, 4180, 4124])).
% 7.74/5.38 tff(4214,plain,
% 7.74/5.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4215,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4216,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 7.74/5.38 tff(4217,plain,
% 7.74/5.38 (~m_main_v_turn(s48, c_1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4216, 156, 4213])).
% 7.74/5.38 tff(4218,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4219,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4220,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 7.74/5.38 tff(4221,plain,
% 7.74/5.38 (~node5(s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4220, 776, 4217])).
% 7.74/5.38 tff(4222,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4223,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4224,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 7.74/5.38 tff(4225,plain,
% 7.74/5.38 (~node2(s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4224, 787, 4200])).
% 7.74/5.38 tff(4226,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4227,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4228,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 7.74/5.38 tff(4229,plain,
% 7.74/5.38 (~node3(s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4228, 798, 4200])).
% 7.74/5.38 tff(4230,plain,
% 7.74/5.38 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4231,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4232,plain,
% 7.74/5.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 7.74/5.38 tff(4233,plain,
% 7.74/5.38 (~m_main_v_state1(s48, c_c1)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4232, 539, 4196])).
% 7.74/5.38 tff(4234,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4235,plain,
% 7.74/5.38 (((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2))) <=> (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4236,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))))),
% 7.74/5.38 inference(monotonicity,[status(thm)],[4235])).
% 7.74/5.38 tff(4237,plain,
% 7.74/5.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 7.74/5.38 inference(transitivity,[status(thm)],[4236, 4234])).
% 7.74/5.38 tff(4238,plain,
% 7.74/5.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4239,plain,
% 7.74/5.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 7.74/5.38 tff(4240,plain,
% 7.74/5.38 (~m_main_v_state2(s47, c_n2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4239, 311, 4081, 4173])).
% 7.74/5.38 tff(4241,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4242,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4243,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 7.74/5.38 tff(4244,plain,
% 7.74/5.38 (~node9(s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4243, 88, 4240])).
% 7.74/5.38 tff(4245,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4246,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4247,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 7.74/5.38 tff(4248,plain,
% 7.74/5.38 (~node10(s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4247, 249, 4240])).
% 7.74/5.38 tff(4249,plain,
% 7.74/5.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4250,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4251,plain,
% 7.74/5.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 7.74/5.38 tff(4252,plain,
% 7.74/5.38 (~node8(s47)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4251, 271, 4240])).
% 7.74/5.38 tff(4253,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4254,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4255,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 7.74/5.38 tff(4256,plain,
% 7.74/5.38 (node14(s47, s48)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4255, 46, 4187])).
% 7.74/5.38 tff(4257,plain,
% 7.74/5.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 7.74/5.38 inference(rewrite,[status(thm)],[])).
% 7.74/5.38 tff(4258,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 7.74/5.38 inference(quant_inst,[status(thm)],[])).
% 7.74/5.38 tff(4259,plain,
% 7.74/5.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2)),
% 7.74/5.38 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 7.74/5.38 tff(4260,plain,
% 7.74/5.38 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | m_main_v_state2(s48, c_c2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4259, 617, 4256])).
% 7.74/5.38 tff(4261,plain,
% 7.74/5.38 (m_main_v_state2(s48, c_c2)),
% 7.74/5.38 inference(unit_resolution,[status(thm)],[4260, 4252, 4124, 4180, 4248, 4244])).
% 7.74/5.38 tff(4262,plain,
% 7.74/5.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4263,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4264,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 7.74/5.39 tff(4265,plain,
% 7.74/5.39 (~m_main_v_state2(s48, c_n2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4264, 697, 4261])).
% 7.74/5.39 tff(4266,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4267,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4268,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 7.74/5.39 tff(4269,plain,
% 7.74/5.39 (~node4(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4268, 388, 4265])).
% 7.74/5.39 tff(4270,plain,
% 7.74/5.39 (succ(s48, s49) <=> succ(s48, s49)),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4271,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 7.74/5.39 tff(4272,plain,
% 7.74/5.39 (succ(s48, s49)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 7.74/5.39 tff(4273,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4274,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4275,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 7.74/5.39 tff(4276,plain,
% 7.74/5.39 (trans(s48, s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4275, 4272, 32])).
% 7.74/5.39 tff(4277,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4278,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4279,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 7.74/5.39 tff(4280,plain,
% 7.74/5.39 (node7(s48, s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4279, 206, 4276])).
% 7.74/5.39 tff(4281,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4282,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4283,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 7.74/5.39 tff(4284,plain,
% 7.74/5.39 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4283, 820, 4280])).
% 7.74/5.39 tff(4285,plain,
% 7.74/5.39 (node6(s48, s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4284, 4269, 4233, 4229, 4225, 4221, 4204])).
% 7.74/5.39 tff(4286,plain,
% 7.74/5.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4287,plain,
% 7.74/5.39 (((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1)) <=> ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4288,plain,
% 7.74/5.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))))),
% 7.74/5.39 inference(monotonicity,[status(thm)],[4287])).
% 7.74/5.39 tff(4289,plain,
% 7.74/5.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 7.74/5.39 inference(transitivity,[status(thm)],[4288, 4286])).
% 7.74/5.39 tff(4290,plain,
% 7.74/5.39 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4291,plain,
% 7.74/5.39 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 7.74/5.39 tff(4292,plain,
% 7.74/5.39 (m_main_v_state1(s49, c_t1)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4291, 856, 4196, 4285])).
% 7.74/5.39 tff(4293,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4294,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4295,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4294, 4293])).
% 7.74/5.39 tff(4296,plain,
% 7.74/5.39 (~m_main_v_state2(s48, c_t2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4295, 260, 4261])).
% 7.74/5.39 tff(4297,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4298,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4299,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 7.74/5.39 tff(4300,plain,
% 7.74/5.39 (~node12(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4299, 633, 4296])).
% 7.74/5.39 tff(4301,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4302,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4303,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 7.74/5.39 tff(4304,plain,
% 7.74/5.39 (~node11(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4303, 238, 4200])).
% 7.74/5.39 tff(4305,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4306,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4307,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 7.74/5.39 tff(4308,plain,
% 7.74/5.39 (~node10(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4307, 675, 4233])).
% 7.74/5.39 tff(4309,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4310,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4311,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 7.74/5.39 tff(4312,plain,
% 7.74/5.39 (~node9(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4311, 686, 4200])).
% 7.74/5.39 tff(4313,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4314,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4315,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 7.74/5.39 tff(4316,plain,
% 7.74/5.39 (~node8(s48)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4315, 271, 4265])).
% 7.74/5.39 tff(4317,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4318,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4319,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 7.74/5.39 tff(4320,plain,
% 7.74/5.39 (node14(s48, s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4319, 46, 4276])).
% 7.74/5.39 tff(4321,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4322,plain,
% 7.74/5.39 (((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2)) <=> (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4323,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))))),
% 7.74/5.39 inference(monotonicity,[status(thm)],[4322])).
% 7.74/5.39 tff(4324,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 7.74/5.39 inference(transitivity,[status(thm)],[4323, 4321])).
% 7.74/5.39 tff(4325,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4326,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 7.74/5.39 tff(4327,plain,
% 7.74/5.39 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4326, 726, 4320])).
% 7.74/5.39 tff(4328,plain,
% 7.74/5.39 (m_main_v_state2(s49, c_n2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4327, 4316, 4261, 4312, 4308, 4304, 4300])).
% 7.74/5.39 tff(4329,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4330,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4331,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 7.74/5.39 tff(4332,plain,
% 7.74/5.39 (~m_main_v_state2(s49, c_t2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4331, 77, 4328])).
% 7.74/5.39 tff(4333,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4334,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4335,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 7.74/5.39 tff(4336,plain,
% 7.74/5.39 (~node15(s49)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4335, 103, 4332])).
% 7.74/5.39 tff(4337,plain,
% 7.74/5.39 (succ(s49, s50) <=> succ(s49, s50)),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4338,axiom,(succ(s49, s50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 7.74/5.39 tff(4339,plain,
% 7.74/5.39 (succ(s49, s50)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 7.74/5.39 tff(4340,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4341,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4342,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 7.74/5.39 tff(4343,plain,
% 7.74/5.39 (trans(s49, s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4342, 4339, 32])).
% 7.74/5.39 tff(4344,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4345,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4346,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 7.74/5.39 tff(4347,plain,
% 7.74/5.39 (node18(s49, s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4346, 125, 4343])).
% 7.74/5.39 tff(4348,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4349,plain,
% 7.74/5.39 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1)) <=> (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4350,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)))),
% 7.74/5.39 inference(monotonicity,[status(thm)],[4349])).
% 7.74/5.39 tff(4351,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 7.74/5.39 inference(transitivity,[status(thm)],[4350, 4348])).
% 7.74/5.39 tff(4352,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4353,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 7.74/5.39 tff(4354,plain,
% 7.74/5.39 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4353, 992, 4347])).
% 7.74/5.39 tff(4355,plain,
% 7.74/5.39 (m_main_v_turn(s50, c_1)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4354, 4336, 4328, 4292])).
% 7.74/5.39 tff(4356,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4357,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4358,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 7.74/5.39 tff(4359,plain,
% 7.74/5.39 (~m_main_v_turn(s50, c_2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4358, 156, 4355])).
% 7.74/5.39 tff(4360,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4361,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4362,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 7.74/5.39 tff(4363,plain,
% 7.74/5.39 (~node12(s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4362, 184, 4359])).
% 7.74/5.39 tff(4364,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4365,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4366,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 7.74/5.39 tff(4367,plain,
% 7.74/5.39 (node14(s49, s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4366, 46, 4343])).
% 7.74/5.39 tff(4368,plain,
% 7.74/5.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4369,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4370,plain,
% 7.74/5.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 7.74/5.39 tff(4371,plain,
% 7.74/5.39 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4370, 922, 4367])).
% 7.74/5.39 tff(4372,plain,
% 7.74/5.39 (m_main_v_state2(s50, c_t2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4371, 4292, 4328])).
% 7.74/5.39 tff(4373,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4374,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4375,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 7.74/5.39 tff(4376,plain,
% 7.74/5.39 (~m_main_v_state2(s50, c_n2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4375, 77, 4372])).
% 7.74/5.39 tff(4377,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4378,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4379,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 7.74/5.39 tff(4380,plain,
% 7.74/5.39 (~node8(s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4379, 271, 4376])).
% 7.74/5.39 tff(4381,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4382,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4383,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 7.74/5.39 tff(4384,plain,
% 7.74/5.39 (~node9(s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4383, 88, 4376])).
% 7.74/5.39 tff(4385,plain,
% 7.74/5.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4386,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4387,plain,
% 7.74/5.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 7.74/5.39 tff(4388,plain,
% 7.74/5.39 (~node10(s50)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4387, 249, 4376])).
% 7.74/5.39 tff(4389,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4390,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4391,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 7.74/5.39 tff(4392,plain,
% 7.74/5.39 (~m_main_v_state2(s50, c_c2)),
% 7.74/5.39 inference(unit_resolution,[status(thm)],[4391, 260, 4372])).
% 7.74/5.39 tff(4393,plain,
% 7.74/5.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 7.74/5.39 inference(rewrite,[status(thm)],[])).
% 7.74/5.39 tff(4394,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 7.74/5.39 inference(quant_inst,[status(thm)],[])).
% 7.74/5.39 tff(4395,plain,
% 7.74/5.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2))),
% 7.74/5.39 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 7.74/5.39 tff(4396,plain,
% 7.74/5.39 (~m_main_v_state2(s49, c_c2)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4395, 697, 4328])).
% 7.74/5.40 tff(4397,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4398,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4399,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 7.74/5.40 tff(4400,plain,
% 7.74/5.40 (~node3(s49)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4399, 399, 4396])).
% 7.74/5.40 tff(4401,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4402,plain,
% 7.74/5.40 (((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1))) <=> (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4403,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))))),
% 7.74/5.40 inference(monotonicity,[status(thm)],[4402])).
% 7.74/5.40 tff(4404,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 7.74/5.40 inference(transitivity,[status(thm)],[4403, 4401])).
% 7.74/5.40 tff(4405,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4406,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 7.74/5.40 tff(4407,plain,
% 7.74/5.40 (~m_main_v_state1(s49, c_n1)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4406, 835, 4200, 4285])).
% 7.74/5.40 tff(4408,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4409,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4410,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 7.74/5.40 tff(4411,plain,
% 7.74/5.40 (~node2(s49)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4410, 787, 4407])).
% 7.74/5.40 tff(4412,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4413,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4414,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 7.74/5.40 tff(4415,plain,
% 7.74/5.40 (~node1(s49)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4414, 195, 4332])).
% 7.74/5.40 tff(4416,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4417,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4418,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 7.74/5.40 tff(4419,plain,
% 7.74/5.40 (node7(s49, s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4418, 206, 4343])).
% 7.74/5.40 tff(4420,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4421,plain,
% 7.74/5.40 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1)) <=> ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4422,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))))),
% 7.74/5.40 inference(monotonicity,[status(thm)],[4421])).
% 7.74/5.40 tff(4423,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 7.74/5.40 inference(transitivity,[status(thm)],[4422, 4420])).
% 7.74/5.40 tff(4424,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4425,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 7.74/5.40 tff(4426,plain,
% 7.74/5.40 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4425, 892, 4419])).
% 7.74/5.40 tff(4427,plain,
% 7.74/5.40 (m_main_v_state1(s50, c_c1)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4426, 4415, 4328, 4292, 4411, 4400])).
% 7.74/5.40 tff(4428,plain,
% 7.74/5.40 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4429,plain,
% 7.74/5.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4430,plain,
% 7.74/5.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 7.74/5.40 tff(4431,plain,
% 7.74/5.40 (~m_main_v_state1(s50, c_n1)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4430, 454, 4427])).
% 7.74/5.40 tff(4432,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4433,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4434,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 7.74/5.40 tff(4435,plain,
% 7.74/5.40 (~node11(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4434, 238, 4431])).
% 7.74/5.40 tff(4436,plain,
% 7.74/5.40 (succ(s50, s51) <=> succ(s50, s51)),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4437,axiom,(succ(s50, s51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 7.74/5.40 tff(4438,plain,
% 7.74/5.40 (succ(s50, s51)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 7.74/5.40 tff(4439,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4440,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4441,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 7.74/5.40 tff(4442,plain,
% 7.74/5.40 (trans(s50, s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4441, 4438, 32])).
% 7.74/5.40 tff(4443,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4444,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4445,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 7.74/5.40 tff(4446,plain,
% 7.74/5.40 (node14(s50, s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4445, 46, 4442])).
% 7.74/5.40 tff(4447,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4448,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4449,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 7.74/5.40 tff(4450,plain,
% 7.74/5.40 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4449, 296, 4446])).
% 7.74/5.40 tff(4451,plain,
% 7.74/5.40 (node13(s50, s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4450, 4435, 4392, 4388, 4384, 4380, 4363])).
% 7.74/5.40 tff(4452,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4453,plain,
% 7.74/5.40 (((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2))) <=> (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4454,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))))),
% 7.74/5.40 inference(monotonicity,[status(thm)],[4453])).
% 7.74/5.40 tff(4455,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 7.74/5.40 inference(transitivity,[status(thm)],[4454, 4452])).
% 7.74/5.40 tff(4456,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4457,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 7.74/5.40 tff(4458,plain,
% 7.74/5.40 (~m_main_v_state2(s51, c_n2)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4457, 311, 4376, 4451])).
% 7.74/5.40 tff(4459,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4460,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4461,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 7.74/5.40 tff(4462,plain,
% 7.74/5.40 (~node9(s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4461, 88, 4458])).
% 7.74/5.40 tff(4463,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4464,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4465,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 7.74/5.40 tff(4466,plain,
% 7.74/5.40 (~node10(s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4465, 249, 4458])).
% 7.74/5.40 tff(4467,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4468,plain,
% 7.74/5.40 (((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2)) <=> ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4469,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))))),
% 7.74/5.40 inference(monotonicity,[status(thm)],[4468])).
% 7.74/5.40 tff(4470,plain,
% 7.74/5.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 7.74/5.40 inference(transitivity,[status(thm)],[4469, 4467])).
% 7.74/5.40 tff(4471,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4472,plain,
% 7.74/5.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 7.74/5.40 tff(4473,plain,
% 7.74/5.40 (m_main_v_state2(s51, c_t2)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4472, 518, 4372, 4451])).
% 7.74/5.40 tff(4474,plain,
% 7.74/5.40 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4475,plain,
% 7.74/5.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4476,plain,
% 7.74/5.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 7.74/5.40 tff(4477,plain,
% 7.74/5.40 (~m_main_v_state1(s50, c_t1)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4476, 539, 4427])).
% 7.74/5.40 tff(4478,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4479,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4480,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 7.74/5.40 tff(4481,plain,
% 7.74/5.40 (~node5(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4480, 550, 4477])).
% 7.74/5.40 tff(4482,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4483,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4484,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 7.74/5.40 tff(4485,plain,
% 7.74/5.40 (~node4(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4484, 388, 4376])).
% 7.74/5.40 tff(4486,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4487,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4488,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 7.74/5.40 tff(4489,plain,
% 7.74/5.40 (~node3(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4488, 399, 4392])).
% 7.74/5.40 tff(4490,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4491,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4492,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 7.74/5.40 tff(4493,plain,
% 7.74/5.40 (~node2(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4492, 410, 4376])).
% 7.74/5.40 tff(4494,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4495,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4496,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 7.74/5.40 tff(4497,plain,
% 7.74/5.40 (~node1(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4496, 421, 4431])).
% 7.74/5.40 tff(4498,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4499,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4500,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 7.74/5.40 tff(4501,plain,
% 7.74/5.40 (node7(s50, s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4500, 206, 4442])).
% 7.74/5.40 tff(4502,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4503,plain,
% 7.74/5.40 (((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1)) <=> (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4504,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))))),
% 7.74/5.40 inference(monotonicity,[status(thm)],[4503])).
% 7.74/5.40 tff(4505,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 7.74/5.40 inference(transitivity,[status(thm)],[4504, 4502])).
% 7.74/5.40 tff(4506,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4507,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 7.74/5.40 tff(4508,plain,
% 7.74/5.40 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4507, 584, 4501])).
% 7.74/5.40 tff(4509,plain,
% 7.74/5.40 (m_main_v_state1(s51, c_n1)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4508, 4497, 4427, 4493, 4489, 4485, 4481])).
% 7.74/5.40 tff(4510,plain,
% 7.74/5.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4511,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4512,plain,
% 7.74/5.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 7.74/5.40 tff(4513,plain,
% 7.74/5.40 (~node8(s51)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4512, 271, 4458])).
% 7.74/5.40 tff(4514,plain,
% 7.74/5.40 (succ(s51, s52) <=> succ(s51, s52)),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4515,axiom,(succ(s51, s52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 7.74/5.40 tff(4516,plain,
% 7.74/5.40 (succ(s51, s52)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 7.74/5.40 tff(4517,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4518,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4519,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 7.74/5.40 tff(4520,plain,
% 7.74/5.40 (trans(s51, s52)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4519, 4516, 32])).
% 7.74/5.40 tff(4521,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52))),
% 7.74/5.40 inference(rewrite,[status(thm)],[])).
% 7.74/5.40 tff(4522,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 7.74/5.40 inference(quant_inst,[status(thm)],[])).
% 7.74/5.40 tff(4523,plain,
% 7.74/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 7.74/5.40 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 7.74/5.40 tff(4524,plain,
% 7.74/5.40 (node14(s51, s52)),
% 7.74/5.40 inference(unit_resolution,[status(thm)],[4523, 46, 4520])).
% 7.74/5.40 tff(4525,plain,
% 7.74/5.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4526,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4527,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 7.74/5.41 tff(4528,plain,
% 7.74/5.41 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | m_main_v_state2(s52, c_c2)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4527, 617, 4524])).
% 7.74/5.41 tff(4529,plain,
% 7.74/5.41 (m_main_v_state2(s52, c_c2)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4528, 4513, 4509, 4473, 4466, 4462])).
% 7.74/5.41 tff(4530,plain,
% 7.74/5.41 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4531,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4532,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 7.74/5.41 tff(4533,plain,
% 7.74/5.41 (~m_main_v_state2(s52, c_t2)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4532, 260, 4529])).
% 7.74/5.41 tff(4534,plain,
% 7.74/5.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4535,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4536,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 7.74/5.41 tff(4537,plain,
% 7.74/5.41 (~node12(s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4536, 633, 4533])).
% 7.74/5.41 tff(4538,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4539,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4540,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 7.74/5.41 tff(4541,plain,
% 7.74/5.41 (node7(s51, s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4540, 206, 4520])).
% 7.74/5.41 tff(4542,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4543,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4544,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 7.74/5.41 tff(4545,plain,
% 7.74/5.41 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4544, 651, 4541])).
% 7.74/5.41 tff(4546,plain,
% 7.74/5.41 (m_main_v_state1(s52, c_t1)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4545, 4473, 4509])).
% 7.74/5.41 tff(4547,plain,
% 7.74/5.41 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4548,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4549,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 7.74/5.41 tff(4550,plain,
% 7.74/5.41 (~m_main_v_state1(s52, c_n1)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4549, 10, 4546])).
% 7.74/5.41 tff(4551,plain,
% 7.74/5.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4552,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4553,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 7.74/5.41 tff(4554,plain,
% 7.74/5.41 (~node11(s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4553, 238, 4550])).
% 7.74/5.41 tff(4555,plain,
% 7.74/5.41 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4556,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4557,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 7.74/5.41 tff(4558,plain,
% 7.74/5.41 (~m_main_v_state1(s52, c_c1)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4557, 539, 4546])).
% 7.74/5.41 tff(4559,plain,
% 7.74/5.41 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4560,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4561,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 7.74/5.41 tff(4562,plain,
% 7.74/5.41 (~node10(s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4561, 675, 4558])).
% 7.74/5.41 tff(4563,plain,
% 7.74/5.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4564,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4565,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 7.74/5.41 tff(4566,plain,
% 7.74/5.41 (~node9(s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4565, 686, 4550])).
% 7.74/5.41 tff(4567,plain,
% 7.74/5.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4568,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4569,plain,
% 7.74/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 7.74/5.41 tff(4570,plain,
% 7.74/5.41 (~m_main_v_state2(s52, c_n2)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4569, 697, 4529])).
% 7.74/5.41 tff(4571,plain,
% 7.74/5.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4572,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4573,plain,
% 7.74/5.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 7.74/5.41 tff(4574,plain,
% 7.74/5.41 (~node8(s52)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4573, 271, 4570])).
% 7.74/5.41 tff(4575,plain,
% 7.74/5.41 (succ(s52, s53) <=> succ(s52, s53)),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4576,axiom,(succ(s52, s53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound53')).
% 7.74/5.41 tff(4577,plain,
% 7.74/5.41 (succ(s52, s53)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 7.74/5.41 tff(4578,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4579,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4580,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 7.74/5.41 tff(4581,plain,
% 7.74/5.41 (trans(s52, s53)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4580, 4577, 32])).
% 7.74/5.41 tff(4582,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4583,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4584,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 7.74/5.41 tff(4585,plain,
% 7.74/5.41 (node14(s52, s53)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4584, 46, 4581])).
% 7.74/5.41 tff(4586,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4587,plain,
% 7.74/5.41 (((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2)) <=> (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(rewrite,[status(thm)],[])).
% 7.74/5.41 tff(4588,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))))),
% 7.74/5.41 inference(monotonicity,[status(thm)],[4587])).
% 7.74/5.41 tff(4589,plain,
% 7.74/5.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 7.74/5.41 inference(transitivity,[status(thm)],[4588, 4586])).
% 7.74/5.41 tff(4590,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 7.74/5.41 inference(quant_inst,[status(thm)],[])).
% 7.74/5.41 tff(4591,plain,
% 7.74/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 7.74/5.41 tff(4592,plain,
% 7.74/5.41 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4591, 726, 4585])).
% 7.74/5.41 tff(4593,plain,
% 7.74/5.41 (m_main_v_state2(s53, c_n2)),
% 7.74/5.41 inference(unit_resolution,[status(thm)],[4592, 4574, 4529, 4566, 4562, 4554, 4537])).
% 7.79/5.41 tff(4594,plain,
% 7.79/5.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4595,plain,
% 7.79/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4596,plain,
% 7.79/5.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 7.79/5.41 tff(4597,plain,
% 7.79/5.41 (~m_main_v_state2(s53, c_c2)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4596, 697, 4593])).
% 7.79/5.41 tff(4598,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4599,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4600,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 7.79/5.41 tff(4601,plain,
% 7.79/5.41 (~node3(s53)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4600, 399, 4597])).
% 7.79/5.41 tff(4602,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4603,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4604,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 7.79/5.41 tff(4605,plain,
% 7.79/5.41 (~node1(s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4604, 421, 4550])).
% 7.79/5.41 tff(4606,plain,
% 7.79/5.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4607,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4608,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 7.79/5.41 tff(4609,plain,
% 7.79/5.41 (node18(s51, s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4608, 125, 4520])).
% 7.79/5.41 tff(4610,plain,
% 7.79/5.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4611,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4612,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2)),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 7.79/5.41 tff(4613,plain,
% 7.79/5.41 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4612, 760, 4609])).
% 7.79/5.41 tff(4614,plain,
% 7.79/5.41 (m_main_v_turn(s52, c_2)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4613, 4473, 4509])).
% 7.79/5.41 tff(4615,plain,
% 7.79/5.41 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4616,plain,
% 7.79/5.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4617,plain,
% 7.79/5.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 7.79/5.41 tff(4618,plain,
% 7.79/5.41 (~m_main_v_turn(s52, c_1)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4617, 156, 4614])).
% 7.79/5.41 tff(4619,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4620,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4621,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 7.79/5.41 tff(4622,plain,
% 7.79/5.41 (~node5(s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4621, 776, 4618])).
% 7.79/5.41 tff(4623,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4624,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4625,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 7.79/5.41 tff(4626,plain,
% 7.79/5.41 (~node2(s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4625, 787, 4550])).
% 7.79/5.41 tff(4627,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4628,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4629,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 7.79/5.41 tff(4630,plain,
% 7.79/5.41 (~node3(s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4629, 798, 4550])).
% 7.79/5.41 tff(4631,plain,
% 7.79/5.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4632,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4633,plain,
% 7.79/5.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 7.79/5.41 tff(4634,plain,
% 7.79/5.41 (~node4(s52)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4633, 388, 4570])).
% 7.79/5.41 tff(4635,plain,
% 7.79/5.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4636,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4637,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 7.79/5.41 tff(4638,plain,
% 7.79/5.41 (node7(s52, s53)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4637, 206, 4581])).
% 7.79/5.41 tff(4639,plain,
% 7.79/5.41 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4640,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 7.79/5.41 inference(quant_inst,[status(thm)],[])).
% 7.79/5.41 tff(4641,plain,
% 7.79/5.41 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 7.79/5.41 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 7.79/5.41 tff(4642,plain,
% 7.79/5.41 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4641, 820, 4638])).
% 7.79/5.41 tff(4643,plain,
% 7.79/5.41 (node6(s52, s53)),
% 7.79/5.41 inference(unit_resolution,[status(thm)],[4642, 4634, 4558, 4630, 4626, 4622, 4605])).
% 7.79/5.41 tff(4644,plain,
% 7.79/5.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4645,plain,
% 7.79/5.41 (((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1))) <=> (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 7.79/5.41 inference(rewrite,[status(thm)],[])).
% 7.79/5.41 tff(4646,plain,
% 7.79/5.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))))),
% 7.79/5.41 inference(monotonicity,[status(thm)],[4645])).
% 7.79/5.41 tff(4647,plain,
% 7.79/5.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 7.79/5.41 inference(transitivity,[status(thm)],[4646, 4644])).
% 7.79/5.41 tff(4648,plain,
% 7.79/5.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4649,plain,
% 7.79/5.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 7.79/5.42 tff(4650,plain,
% 7.79/5.42 (~m_main_v_state1(s53, c_n1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4649, 835, 4550, 4643])).
% 7.79/5.42 tff(4651,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4652,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4653,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 7.79/5.42 tff(4654,plain,
% 7.79/5.42 (~node2(s53)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4653, 787, 4650])).
% 7.79/5.42 tff(4655,plain,
% 7.79/5.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4656,plain,
% 7.79/5.42 (((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1)) <=> ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4657,plain,
% 7.79/5.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))))),
% 7.79/5.42 inference(monotonicity,[status(thm)],[4656])).
% 7.79/5.42 tff(4658,plain,
% 7.79/5.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 7.79/5.42 inference(transitivity,[status(thm)],[4657, 4655])).
% 7.79/5.42 tff(4659,plain,
% 7.79/5.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4660,plain,
% 7.79/5.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 7.79/5.42 tff(4661,plain,
% 7.79/5.42 (m_main_v_state1(s53, c_t1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4660, 856, 4546, 4643])).
% 7.79/5.42 tff(4662,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4663,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4664,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 7.79/5.42 tff(4665,plain,
% 7.79/5.42 (~m_main_v_state2(s53, c_t2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4664, 77, 4593])).
% 7.79/5.42 tff(4666,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4667,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4668,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4667, 4666])).
% 7.79/5.42 tff(4669,plain,
% 7.79/5.42 (~node1(s53)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4668, 195, 4665])).
% 7.79/5.42 tff(4670,plain,
% 7.79/5.42 (succ(s53, s54) <=> succ(s53, s54)),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4671,axiom,(succ(s53, s54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound54')).
% 7.79/5.42 tff(4672,plain,
% 7.79/5.42 (succ(s53, s54)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 7.79/5.42 tff(4673,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4674,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4675,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 7.79/5.42 tff(4676,plain,
% 7.79/5.42 (trans(s53, s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4675, 4672, 32])).
% 7.79/5.42 tff(4677,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4678,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4679,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4678, 4677])).
% 7.79/5.42 tff(4680,plain,
% 7.79/5.42 (node7(s53, s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4679, 206, 4676])).
% 7.79/5.42 tff(4681,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4682,plain,
% 7.79/5.42 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1)) <=> ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4683,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))))),
% 7.79/5.42 inference(monotonicity,[status(thm)],[4682])).
% 7.79/5.42 tff(4684,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 7.79/5.42 inference(transitivity,[status(thm)],[4683, 4681])).
% 7.79/5.42 tff(4685,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4686,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 7.79/5.42 tff(4687,plain,
% 7.79/5.42 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4686, 892, 4680])).
% 7.79/5.42 tff(4688,plain,
% 7.79/5.42 (m_main_v_state1(s54, c_c1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4687, 4669, 4593, 4661, 4654, 4601])).
% 7.79/5.42 tff(4689,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4690,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4691,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 7.79/5.42 tff(4692,plain,
% 7.79/5.42 (~m_main_v_state1(s54, c_t1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4691, 539, 4688])).
% 7.79/5.42 tff(4693,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4694,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4695,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 7.79/5.42 tff(4696,plain,
% 7.79/5.42 (~node5(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4695, 550, 4692])).
% 7.79/5.42 tff(4697,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4698,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4699,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 7.79/5.42 tff(4700,plain,
% 7.79/5.42 (node14(s53, s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4699, 46, 4676])).
% 7.79/5.42 tff(4701,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4702,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4703,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 7.79/5.42 tff(4704,plain,
% 7.79/5.42 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4703, 922, 4700])).
% 7.79/5.42 tff(4705,plain,
% 7.79/5.42 (m_main_v_state2(s54, c_t2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4704, 4661, 4593])).
% 7.79/5.42 tff(4706,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4707,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4708,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 7.79/5.42 tff(4709,plain,
% 7.79/5.42 (~m_main_v_state2(s54, c_n2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4708, 77, 4705])).
% 7.79/5.42 tff(4710,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4711,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4712,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 7.79/5.42 tff(4713,plain,
% 7.79/5.42 (~node4(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4712, 388, 4709])).
% 7.79/5.42 tff(4714,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4715,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4716,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 7.79/5.42 tff(4717,plain,
% 7.79/5.42 (~m_main_v_state2(s54, c_c2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4716, 260, 4705])).
% 7.79/5.42 tff(4718,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4719,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4720,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 7.79/5.42 tff(4721,plain,
% 7.79/5.42 (~node3(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4720, 399, 4717])).
% 7.79/5.42 tff(4722,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4723,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4724,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 7.79/5.42 tff(4725,plain,
% 7.79/5.42 (~node2(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4724, 410, 4709])).
% 7.79/5.42 tff(4726,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4727,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4728,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 7.79/5.42 tff(4729,plain,
% 7.79/5.42 (~m_main_v_state1(s54, c_n1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4728, 454, 4688])).
% 7.79/5.42 tff(4730,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4731,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4732,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 7.79/5.42 tff(4733,plain,
% 7.79/5.42 (~node1(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4732, 421, 4729])).
% 7.79/5.42 tff(4734,plain,
% 7.79/5.42 (succ(s54, s55) <=> succ(s54, s55)),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4735,axiom,(succ(s54, s55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound55')).
% 7.79/5.42 tff(4736,plain,
% 7.79/5.42 (succ(s54, s55)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 7.79/5.42 tff(4737,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4738,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4739,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 7.79/5.42 tff(4740,plain,
% 7.79/5.42 (trans(s54, s55)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4739, 4736, 32])).
% 7.79/5.42 tff(4741,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4742,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4743,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 7.79/5.42 tff(4744,plain,
% 7.79/5.42 (node7(s54, s55)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4743, 206, 4740])).
% 7.79/5.42 tff(4745,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4746,plain,
% 7.79/5.42 (((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1)) <=> (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4747,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))))),
% 7.79/5.42 inference(monotonicity,[status(thm)],[4746])).
% 7.79/5.42 tff(4748,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 7.79/5.42 inference(transitivity,[status(thm)],[4747, 4745])).
% 7.79/5.42 tff(4749,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4750,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 7.79/5.42 tff(4751,plain,
% 7.79/5.42 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4750, 584, 4744])).
% 7.79/5.42 tff(4752,plain,
% 7.79/5.42 (m_main_v_state1(s55, c_n1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4751, 4733, 4688, 4725, 4721, 4713, 4696])).
% 7.79/5.42 tff(4753,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4754,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4755,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 7.79/5.42 tff(4756,plain,
% 7.79/5.42 (~node15(s53)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4755, 103, 4665])).
% 7.79/5.42 tff(4757,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4758,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4759,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 7.79/5.42 tff(4760,plain,
% 7.79/5.42 (node18(s53, s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4759, 125, 4676])).
% 7.79/5.42 tff(4761,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4762,plain,
% 7.79/5.42 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1)) <=> (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4763,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)))),
% 7.79/5.42 inference(monotonicity,[status(thm)],[4762])).
% 7.79/5.42 tff(4764,plain,
% 7.79/5.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 7.79/5.42 inference(transitivity,[status(thm)],[4763, 4761])).
% 7.79/5.42 tff(4765,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4766,plain,
% 7.79/5.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 7.79/5.42 tff(4767,plain,
% 7.79/5.42 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4766, 992, 4760])).
% 7.79/5.42 tff(4768,plain,
% 7.79/5.42 (m_main_v_turn(s54, c_1)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4767, 4756, 4593, 4661])).
% 7.79/5.42 tff(4769,plain,
% 7.79/5.42 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4770,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4771,plain,
% 7.79/5.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 7.79/5.42 tff(4772,plain,
% 7.79/5.42 (~m_main_v_turn(s54, c_2)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4771, 156, 4768])).
% 7.79/5.42 tff(4773,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4774,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4775,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 7.79/5.42 tff(4776,plain,
% 7.79/5.42 (~node12(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4775, 184, 4772])).
% 7.79/5.42 tff(4777,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4778,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4779,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 7.79/5.42 tff(4780,plain,
% 7.79/5.42 (~node8(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4779, 271, 4709])).
% 7.79/5.42 tff(4781,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4782,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 7.79/5.42 inference(quant_inst,[status(thm)],[])).
% 7.79/5.42 tff(4783,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 7.79/5.42 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 7.79/5.42 tff(4784,plain,
% 7.79/5.42 (~node9(s54)),
% 7.79/5.42 inference(unit_resolution,[status(thm)],[4783, 88, 4709])).
% 7.79/5.42 tff(4785,plain,
% 7.79/5.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 7.79/5.42 inference(rewrite,[status(thm)],[])).
% 7.79/5.42 tff(4786,plain,
% 7.79/5.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4787,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 7.79/5.43 tff(4788,plain,
% 7.79/5.43 (~node10(s54)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4787, 249, 4709])).
% 7.79/5.43 tff(4789,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4790,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4791,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 7.79/5.43 tff(4792,plain,
% 7.79/5.43 (~node11(s54)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4791, 238, 4729])).
% 7.79/5.43 tff(4793,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4794,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4795,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 7.79/5.43 tff(4796,plain,
% 7.79/5.43 (node14(s54, s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4795, 46, 4740])).
% 7.79/5.43 tff(4797,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4798,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4799,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 7.79/5.43 tff(4800,plain,
% 7.79/5.43 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4799, 296, 4796])).
% 7.79/5.43 tff(4801,plain,
% 7.79/5.43 (node13(s54, s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4800, 4792, 4717, 4788, 4784, 4780, 4776])).
% 7.79/5.43 tff(4802,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4803,plain,
% 7.79/5.43 (((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2)) <=> ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4804,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))))),
% 7.79/5.43 inference(monotonicity,[status(thm)],[4803])).
% 7.79/5.43 tff(4805,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 7.79/5.43 inference(transitivity,[status(thm)],[4804, 4802])).
% 7.79/5.43 tff(4806,plain,
% 7.79/5.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4807,plain,
% 7.79/5.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 7.79/5.43 tff(4808,plain,
% 7.79/5.43 (m_main_v_state2(s55, c_t2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4807, 518, 4705, 4801])).
% 7.79/5.43 tff(4809,plain,
% 7.79/5.43 (succ(s55, s56) <=> succ(s55, s56)),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4810,axiom,(succ(s55, s56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound56')).
% 7.79/5.43 tff(4811,plain,
% 7.79/5.43 (succ(s55, s56)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 7.79/5.43 tff(4812,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4813,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4814,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 7.79/5.43 tff(4815,plain,
% 7.79/5.43 (trans(s55, s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4814, 4811, 32])).
% 7.79/5.43 tff(4816,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4817,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4818,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 7.79/5.43 tff(4819,plain,
% 7.79/5.43 (node7(s55, s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4818, 206, 4815])).
% 7.79/5.43 tff(4820,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4821,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4822,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 7.79/5.43 tff(4823,plain,
% 7.79/5.43 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4822, 651, 4819])).
% 7.79/5.43 tff(4824,plain,
% 7.79/5.43 (m_main_v_state1(s56, c_t1)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4823, 4808, 4752])).
% 7.79/5.43 tff(4825,plain,
% 7.79/5.43 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4826,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4827,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 7.79/5.43 tff(4828,plain,
% 7.79/5.43 (~m_main_v_state1(s56, c_n1)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4827, 10, 4824])).
% 7.79/5.43 tff(4829,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4830,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4831,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 7.79/5.43 tff(4832,plain,
% 7.79/5.43 (~node1(s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4831, 421, 4828])).
% 7.79/5.43 tff(4833,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4834,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4835,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 7.79/5.43 tff(4836,plain,
% 7.79/5.43 (node18(s55, s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4835, 125, 4815])).
% 7.79/5.43 tff(4837,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4838,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4839,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 7.79/5.43 tff(4840,plain,
% 7.79/5.43 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4839, 760, 4836])).
% 7.79/5.43 tff(4841,plain,
% 7.79/5.43 (m_main_v_turn(s56, c_2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4840, 4808, 4752])).
% 7.79/5.43 tff(4842,plain,
% 7.79/5.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4843,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4844,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 7.79/5.43 tff(4845,plain,
% 7.79/5.43 (~m_main_v_turn(s56, c_1)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4844, 156, 4841])).
% 7.79/5.43 tff(4846,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4847,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4848,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 7.79/5.43 tff(4849,plain,
% 7.79/5.43 (~node5(s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4848, 776, 4845])).
% 7.79/5.43 tff(4850,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4851,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4852,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 7.79/5.43 tff(4853,plain,
% 7.79/5.43 (~node2(s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4852, 787, 4828])).
% 7.79/5.43 tff(4854,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4855,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4856,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 7.79/5.43 tff(4857,plain,
% 7.79/5.43 (~node3(s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4856, 798, 4828])).
% 7.79/5.43 tff(4858,plain,
% 7.79/5.43 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4859,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4860,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 7.79/5.43 tff(4861,plain,
% 7.79/5.43 (~m_main_v_state1(s56, c_c1)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4860, 539, 4824])).
% 7.79/5.43 tff(4862,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4863,plain,
% 7.79/5.43 (((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2))) <=> (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4864,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))))),
% 7.79/5.43 inference(monotonicity,[status(thm)],[4863])).
% 7.79/5.43 tff(4865,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 7.79/5.43 inference(transitivity,[status(thm)],[4864, 4862])).
% 7.79/5.43 tff(4866,plain,
% 7.79/5.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4867,plain,
% 7.79/5.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 7.79/5.43 tff(4868,plain,
% 7.79/5.43 (~m_main_v_state2(s55, c_n2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4867, 311, 4709, 4801])).
% 7.79/5.43 tff(4869,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4870,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4871,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 7.79/5.43 tff(4872,plain,
% 7.79/5.43 (~node9(s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4871, 88, 4868])).
% 7.79/5.43 tff(4873,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4874,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4875,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 7.79/5.43 tff(4876,plain,
% 7.79/5.43 (~node10(s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4875, 249, 4868])).
% 7.79/5.43 tff(4877,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4878,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4879,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 7.79/5.43 tff(4880,plain,
% 7.79/5.43 (~node8(s55)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4879, 271, 4868])).
% 7.79/5.43 tff(4881,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4882,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4883,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 7.79/5.43 tff(4884,plain,
% 7.79/5.43 (node14(s55, s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4883, 46, 4815])).
% 7.79/5.43 tff(4885,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4886,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4887,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 7.79/5.43 tff(4888,plain,
% 7.79/5.43 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | m_main_v_state2(s56, c_c2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4887, 617, 4884])).
% 7.79/5.43 tff(4889,plain,
% 7.79/5.43 (m_main_v_state2(s56, c_c2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4888, 4880, 4752, 4808, 4876, 4872])).
% 7.79/5.43 tff(4890,plain,
% 7.79/5.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4891,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4892,plain,
% 7.79/5.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 7.79/5.43 tff(4893,plain,
% 7.79/5.43 (~m_main_v_state2(s56, c_n2)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4892, 697, 4889])).
% 7.79/5.43 tff(4894,plain,
% 7.79/5.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4895,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4896,plain,
% 7.79/5.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 7.79/5.43 tff(4897,plain,
% 7.79/5.43 (~node4(s56)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4896, 388, 4893])).
% 7.79/5.43 tff(4898,plain,
% 7.79/5.43 (succ(s56, s57) <=> succ(s56, s57)),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4899,axiom,(succ(s56, s57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound57')).
% 7.79/5.43 tff(4900,plain,
% 7.79/5.43 (succ(s56, s57)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 7.79/5.43 tff(4901,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4902,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4903,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 7.79/5.43 tff(4904,plain,
% 7.79/5.43 (trans(s56, s57)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4903, 4900, 32])).
% 7.79/5.43 tff(4905,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4906,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4907,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 7.79/5.43 tff(4908,plain,
% 7.79/5.43 (node7(s56, s57)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4907, 206, 4904])).
% 7.79/5.43 tff(4909,plain,
% 7.79/5.43 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 7.79/5.43 inference(rewrite,[status(thm)],[])).
% 7.79/5.43 tff(4910,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 7.79/5.43 inference(quant_inst,[status(thm)],[])).
% 7.79/5.43 tff(4911,plain,
% 7.79/5.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 7.79/5.43 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 7.79/5.43 tff(4912,plain,
% 7.79/5.43 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4911, 820, 4908])).
% 7.79/5.43 tff(4913,plain,
% 7.79/5.43 (node6(s56, s57)),
% 7.79/5.43 inference(unit_resolution,[status(thm)],[4912, 4897, 4861, 4857, 4853, 4849, 4832])).
% 7.79/5.43 tff(4914,plain,
% 7.79/5.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4915,plain,
% 7.79/5.44 (((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1)) <=> ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4916,plain,
% 7.79/5.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))))),
% 7.79/5.44 inference(monotonicity,[status(thm)],[4915])).
% 7.79/5.44 tff(4917,plain,
% 7.79/5.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 7.79/5.44 inference(transitivity,[status(thm)],[4916, 4914])).
% 7.79/5.44 tff(4918,plain,
% 7.79/5.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4919,plain,
% 7.79/5.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 7.79/5.44 tff(4920,plain,
% 7.79/5.44 (m_main_v_state1(s57, c_t1)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4919, 856, 4824, 4913])).
% 7.79/5.44 tff(4921,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4922,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4923,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 7.79/5.44 tff(4924,plain,
% 7.79/5.44 (~m_main_v_state2(s56, c_t2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4923, 260, 4889])).
% 7.79/5.44 tff(4925,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4926,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4927,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 7.79/5.44 tff(4928,plain,
% 7.79/5.44 (~node12(s56)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4927, 633, 4924])).
% 7.79/5.44 tff(4929,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4930,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4931,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 7.79/5.44 tff(4932,plain,
% 7.79/5.44 (~node11(s56)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4931, 238, 4828])).
% 7.79/5.44 tff(4933,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4934,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4935,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 7.79/5.44 tff(4936,plain,
% 7.79/5.44 (~node10(s56)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4935, 675, 4861])).
% 7.79/5.44 tff(4937,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4938,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4939,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 7.79/5.44 tff(4940,plain,
% 7.79/5.44 (~node9(s56)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4939, 686, 4828])).
% 7.79/5.44 tff(4941,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4942,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4943,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 7.79/5.44 tff(4944,plain,
% 7.79/5.44 (~node8(s56)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4943, 271, 4893])).
% 7.79/5.44 tff(4945,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4946,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4947,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 7.79/5.44 tff(4948,plain,
% 7.79/5.44 (node14(s56, s57)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4947, 46, 4904])).
% 7.79/5.44 tff(4949,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4950,plain,
% 7.79/5.44 (((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2)) <=> (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4951,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))))),
% 7.79/5.44 inference(monotonicity,[status(thm)],[4950])).
% 7.79/5.44 tff(4952,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 7.79/5.44 inference(transitivity,[status(thm)],[4951, 4949])).
% 7.79/5.44 tff(4953,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4954,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 7.79/5.44 tff(4955,plain,
% 7.79/5.44 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4954, 726, 4948])).
% 7.79/5.44 tff(4956,plain,
% 7.79/5.44 (m_main_v_state2(s57, c_n2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4955, 4944, 4889, 4940, 4936, 4932, 4928])).
% 7.79/5.44 tff(4957,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4958,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4959,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 7.79/5.44 tff(4960,plain,
% 7.79/5.44 (~m_main_v_state2(s57, c_t2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4959, 77, 4956])).
% 7.79/5.44 tff(4961,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4962,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4963,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 7.79/5.44 tff(4964,plain,
% 7.79/5.44 (~node15(s57)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4963, 103, 4960])).
% 7.79/5.44 tff(4965,plain,
% 7.79/5.44 (succ(s57, s58) <=> succ(s57, s58)),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4966,axiom,(succ(s57, s58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound58')).
% 7.79/5.44 tff(4967,plain,
% 7.79/5.44 (succ(s57, s58)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 7.79/5.44 tff(4968,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4969,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4970,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 7.79/5.44 tff(4971,plain,
% 7.79/5.44 (trans(s57, s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4970, 4967, 32])).
% 7.79/5.44 tff(4972,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4973,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4974,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 7.79/5.44 tff(4975,plain,
% 7.79/5.44 (node18(s57, s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4974, 125, 4971])).
% 7.79/5.44 tff(4976,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4977,plain,
% 7.79/5.44 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1)) <=> (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4978,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)))),
% 7.79/5.44 inference(monotonicity,[status(thm)],[4977])).
% 7.79/5.44 tff(4979,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 7.79/5.44 inference(transitivity,[status(thm)],[4978, 4976])).
% 7.79/5.44 tff(4980,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4981,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 7.79/5.44 tff(4982,plain,
% 7.79/5.44 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4981, 992, 4975])).
% 7.79/5.44 tff(4983,plain,
% 7.79/5.44 (m_main_v_turn(s58, c_1)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4982, 4964, 4956, 4920])).
% 7.79/5.44 tff(4984,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4985,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4986,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 7.79/5.44 tff(4987,plain,
% 7.79/5.44 (~m_main_v_turn(s58, c_2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4986, 156, 4983])).
% 7.79/5.44 tff(4988,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4989,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4990,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 7.79/5.44 tff(4991,plain,
% 7.79/5.44 (~node12(s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4990, 184, 4987])).
% 7.79/5.44 tff(4992,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4993,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4994,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 7.79/5.44 tff(4995,plain,
% 7.79/5.44 (node14(s57, s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4994, 46, 4971])).
% 7.79/5.44 tff(4996,plain,
% 7.79/5.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(4997,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(4998,plain,
% 7.79/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2)),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 7.79/5.44 tff(4999,plain,
% 7.79/5.44 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4998, 922, 4995])).
% 7.79/5.44 tff(5000,plain,
% 7.79/5.44 (m_main_v_state2(s58, c_t2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[4999, 4920, 4956])).
% 7.79/5.44 tff(5001,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5002,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5003,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 7.79/5.44 tff(5004,plain,
% 7.79/5.44 (~m_main_v_state2(s58, c_n2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5003, 77, 5000])).
% 7.79/5.44 tff(5005,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5006,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5007,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 7.79/5.44 tff(5008,plain,
% 7.79/5.44 (~node8(s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5007, 271, 5004])).
% 7.79/5.44 tff(5009,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5010,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5011,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 7.79/5.44 tff(5012,plain,
% 7.79/5.44 (~node9(s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5011, 88, 5004])).
% 7.79/5.44 tff(5013,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5014,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5015,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 7.79/5.44 tff(5016,plain,
% 7.79/5.44 (~node10(s58)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5015, 249, 5004])).
% 7.79/5.44 tff(5017,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5018,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5019,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 7.79/5.44 tff(5020,plain,
% 7.79/5.44 (~m_main_v_state2(s58, c_c2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5019, 260, 5000])).
% 7.79/5.44 tff(5021,plain,
% 7.79/5.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5022,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5023,plain,
% 7.79/5.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 7.79/5.44 tff(5024,plain,
% 7.79/5.44 (~m_main_v_state2(s57, c_c2)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5023, 697, 4956])).
% 7.79/5.44 tff(5025,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5026,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5027,plain,
% 7.79/5.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 7.79/5.44 tff(5028,plain,
% 7.79/5.44 (~node3(s57)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5027, 399, 5024])).
% 7.79/5.44 tff(5029,plain,
% 7.79/5.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5030,plain,
% 7.79/5.44 (((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1))) <=> (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 7.79/5.44 inference(rewrite,[status(thm)],[])).
% 7.79/5.44 tff(5031,plain,
% 7.79/5.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))))),
% 7.79/5.44 inference(monotonicity,[status(thm)],[5030])).
% 7.79/5.44 tff(5032,plain,
% 7.79/5.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 7.79/5.44 inference(transitivity,[status(thm)],[5031, 5029])).
% 7.79/5.44 tff(5033,plain,
% 7.79/5.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))),
% 7.79/5.44 inference(quant_inst,[status(thm)],[])).
% 7.79/5.44 tff(5034,plain,
% 7.79/5.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 7.79/5.44 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 7.79/5.44 tff(5035,plain,
% 7.79/5.44 (~m_main_v_state1(s57, c_n1)),
% 7.79/5.44 inference(unit_resolution,[status(thm)],[5034, 835, 4828, 4913])).
% 7.79/5.44 tff(5036,plain,
% 7.79/5.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5037,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5038,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 7.79/5.45 tff(5039,plain,
% 7.79/5.45 (~node2(s57)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5038, 787, 5035])).
% 7.79/5.45 tff(5040,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5041,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5042,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 7.79/5.45 tff(5043,plain,
% 7.79/5.45 (~node1(s57)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5042, 195, 4960])).
% 7.79/5.45 tff(5044,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5045,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5046,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 7.79/5.45 tff(5047,plain,
% 7.79/5.45 (node7(s57, s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5046, 206, 4971])).
% 7.79/5.45 tff(5048,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5049,plain,
% 7.79/5.45 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1)) <=> ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5050,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))))),
% 7.79/5.45 inference(monotonicity,[status(thm)],[5049])).
% 7.79/5.45 tff(5051,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 7.79/5.45 inference(transitivity,[status(thm)],[5050, 5048])).
% 7.79/5.45 tff(5052,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5053,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 7.79/5.45 tff(5054,plain,
% 7.79/5.45 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5053, 892, 5047])).
% 7.79/5.45 tff(5055,plain,
% 7.79/5.45 (m_main_v_state1(s58, c_c1)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5054, 5043, 4956, 4920, 5039, 5028])).
% 7.79/5.45 tff(5056,plain,
% 7.79/5.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5057,plain,
% 7.79/5.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5058,plain,
% 7.79/5.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 7.79/5.45 tff(5059,plain,
% 7.79/5.45 (~m_main_v_state1(s58, c_n1)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5058, 454, 5055])).
% 7.79/5.45 tff(5060,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5061,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5062,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 7.79/5.45 tff(5063,plain,
% 7.79/5.45 (~node11(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5062, 238, 5059])).
% 7.79/5.45 tff(5064,plain,
% 7.79/5.45 (succ(s58, s59) <=> succ(s58, s59)),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5065,axiom,(succ(s58, s59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound59')).
% 7.79/5.45 tff(5066,plain,
% 7.79/5.45 (succ(s58, s59)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 7.79/5.45 tff(5067,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5068,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5069,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 7.79/5.45 tff(5070,plain,
% 7.79/5.45 (trans(s58, s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5069, 5066, 32])).
% 7.79/5.45 tff(5071,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5072,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5073,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 7.79/5.45 tff(5074,plain,
% 7.79/5.45 (node14(s58, s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5073, 46, 5070])).
% 7.79/5.45 tff(5075,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5076,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5077,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 7.79/5.45 tff(5078,plain,
% 7.79/5.45 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5077, 296, 5074])).
% 7.79/5.45 tff(5079,plain,
% 7.79/5.45 (node13(s58, s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5078, 5063, 5020, 5016, 5012, 5008, 4991])).
% 7.79/5.45 tff(5080,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5081,plain,
% 7.79/5.45 (((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2))) <=> (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5082,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))))),
% 7.79/5.45 inference(monotonicity,[status(thm)],[5081])).
% 7.79/5.45 tff(5083,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 7.79/5.45 inference(transitivity,[status(thm)],[5082, 5080])).
% 7.79/5.45 tff(5084,plain,
% 7.79/5.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5085,plain,
% 7.79/5.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 7.79/5.45 tff(5086,plain,
% 7.79/5.45 (~m_main_v_state2(s59, c_n2)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5085, 311, 5004, 5079])).
% 7.79/5.45 tff(5087,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5088,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5089,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 7.79/5.45 tff(5090,plain,
% 7.79/5.45 (~node9(s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5089, 88, 5086])).
% 7.79/5.45 tff(5091,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5092,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5093,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 7.79/5.45 tff(5094,plain,
% 7.79/5.45 (~node10(s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5093, 249, 5086])).
% 7.79/5.45 tff(5095,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5096,plain,
% 7.79/5.45 (((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2)) <=> ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5097,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))))),
% 7.79/5.45 inference(monotonicity,[status(thm)],[5096])).
% 7.79/5.45 tff(5098,plain,
% 7.79/5.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 7.79/5.45 inference(transitivity,[status(thm)],[5097, 5095])).
% 7.79/5.45 tff(5099,plain,
% 7.79/5.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5100,plain,
% 7.79/5.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 7.79/5.45 tff(5101,plain,
% 7.79/5.45 (m_main_v_state2(s59, c_t2)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5100, 518, 5000, 5079])).
% 7.79/5.45 tff(5102,plain,
% 7.79/5.45 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5103,plain,
% 7.79/5.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5104,plain,
% 7.79/5.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 7.79/5.45 tff(5105,plain,
% 7.79/5.45 (~m_main_v_state1(s58, c_t1)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5104, 539, 5055])).
% 7.79/5.45 tff(5106,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5107,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5108,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 7.79/5.45 tff(5109,plain,
% 7.79/5.45 (~node5(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5108, 550, 5105])).
% 7.79/5.45 tff(5110,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5111,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5112,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 7.79/5.45 tff(5113,plain,
% 7.79/5.45 (~node4(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5112, 388, 5004])).
% 7.79/5.45 tff(5114,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5115,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5116,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 7.79/5.45 tff(5117,plain,
% 7.79/5.45 (~node3(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5116, 399, 5020])).
% 7.79/5.45 tff(5118,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5119,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5120,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 7.79/5.45 tff(5121,plain,
% 7.79/5.45 (~node2(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5120, 410, 5004])).
% 7.79/5.45 tff(5122,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5123,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5124,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 7.79/5.45 tff(5125,plain,
% 7.79/5.45 (~node1(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5124, 421, 5059])).
% 7.79/5.45 tff(5126,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5127,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5128,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 7.79/5.45 tff(5129,plain,
% 7.79/5.45 (node7(s58, s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5128, 206, 5070])).
% 7.79/5.45 tff(5130,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5131,plain,
% 7.79/5.45 (((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1)) <=> (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5132,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))))),
% 7.79/5.45 inference(monotonicity,[status(thm)],[5131])).
% 7.79/5.45 tff(5133,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 7.79/5.45 inference(transitivity,[status(thm)],[5132, 5130])).
% 7.79/5.45 tff(5134,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5135,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 7.79/5.45 tff(5136,plain,
% 7.79/5.45 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5135, 584, 5129])).
% 7.79/5.45 tff(5137,plain,
% 7.79/5.45 (m_main_v_state1(s59, c_n1)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5136, 5125, 5055, 5121, 5117, 5113, 5109])).
% 7.79/5.45 tff(5138,plain,
% 7.79/5.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5139,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5140,plain,
% 7.79/5.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 7.79/5.45 tff(5141,plain,
% 7.79/5.45 (~node8(s59)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5140, 271, 5086])).
% 7.79/5.45 tff(5142,plain,
% 7.79/5.45 (succ(s59, s60) <=> succ(s59, s60)),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5143,axiom,(succ(s59, s60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound60')).
% 7.79/5.45 tff(5144,plain,
% 7.79/5.45 (succ(s59, s60)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 7.79/5.45 tff(5145,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5146,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5147,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 7.79/5.45 tff(5148,plain,
% 7.79/5.45 (trans(s59, s60)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5147, 5144, 32])).
% 7.79/5.45 tff(5149,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5150,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.79/5.45 tff(5151,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 7.79/5.45 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 7.79/5.45 tff(5152,plain,
% 7.79/5.45 (node14(s59, s60)),
% 7.79/5.45 inference(unit_resolution,[status(thm)],[5151, 46, 5148])).
% 7.79/5.45 tff(5153,plain,
% 7.79/5.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 7.79/5.45 inference(rewrite,[status(thm)],[])).
% 7.79/5.45 tff(5154,plain,
% 7.79/5.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 7.79/5.45 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5155,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 7.83/5.46 tff(5156,plain,
% 7.83/5.46 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | m_main_v_state2(s60, c_c2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5155, 617, 5152])).
% 7.83/5.46 tff(5157,plain,
% 7.83/5.46 (m_main_v_state2(s60, c_c2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5156, 5141, 5137, 5101, 5094, 5090])).
% 7.83/5.46 tff(5158,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5159,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5160,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5159, 5158])).
% 7.83/5.46 tff(5161,plain,
% 7.83/5.46 (~m_main_v_state2(s60, c_t2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5160, 260, 5157])).
% 7.83/5.46 tff(5162,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5163,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5164,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 7.83/5.46 tff(5165,plain,
% 7.83/5.46 (~node12(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5164, 633, 5161])).
% 7.83/5.46 tff(5166,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5167,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5168,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 7.83/5.46 tff(5169,plain,
% 7.83/5.46 (node7(s59, s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5168, 206, 5148])).
% 7.83/5.46 tff(5170,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5171,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5172,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 7.83/5.46 tff(5173,plain,
% 7.83/5.46 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5172, 651, 5169])).
% 7.83/5.46 tff(5174,plain,
% 7.83/5.46 (m_main_v_state1(s60, c_t1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5173, 5101, 5137])).
% 7.83/5.46 tff(5175,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5176,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5177,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 7.83/5.46 tff(5178,plain,
% 7.83/5.46 (~m_main_v_state1(s60, c_n1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5177, 10, 5174])).
% 7.83/5.46 tff(5179,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5180,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5181,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 7.83/5.46 tff(5182,plain,
% 7.83/5.46 (~node11(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5181, 238, 5178])).
% 7.83/5.46 tff(5183,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5184,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5185,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 7.83/5.46 tff(5186,plain,
% 7.83/5.46 (~m_main_v_state1(s60, c_c1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5185, 539, 5174])).
% 7.83/5.46 tff(5187,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5188,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5189,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 7.83/5.46 tff(5190,plain,
% 7.83/5.46 (~node10(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5189, 675, 5186])).
% 7.83/5.46 tff(5191,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5192,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5193,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 7.83/5.46 tff(5194,plain,
% 7.83/5.46 (~node9(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5193, 686, 5178])).
% 7.83/5.46 tff(5195,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5196,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5197,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 7.83/5.46 tff(5198,plain,
% 7.83/5.46 (~m_main_v_state2(s60, c_n2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5197, 697, 5157])).
% 7.83/5.46 tff(5199,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5200,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5201,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 7.83/5.46 tff(5202,plain,
% 7.83/5.46 (~node8(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5201, 271, 5198])).
% 7.83/5.46 tff(5203,plain,
% 7.83/5.46 (succ(s60, s61) <=> succ(s60, s61)),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5204,axiom,(succ(s60, s61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound61')).
% 7.83/5.46 tff(5205,plain,
% 7.83/5.46 (succ(s60, s61)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 7.83/5.46 tff(5206,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5207,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5208,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 7.83/5.46 tff(5209,plain,
% 7.83/5.46 (trans(s60, s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5208, 5205, 32])).
% 7.83/5.46 tff(5210,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5211,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5212,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 7.83/5.46 tff(5213,plain,
% 7.83/5.46 (node14(s60, s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5212, 46, 5209])).
% 7.83/5.46 tff(5214,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5215,plain,
% 7.83/5.46 (((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2)) <=> (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5216,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))))),
% 7.83/5.46 inference(monotonicity,[status(thm)],[5215])).
% 7.83/5.46 tff(5217,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 7.83/5.46 inference(transitivity,[status(thm)],[5216, 5214])).
% 7.83/5.46 tff(5218,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5219,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 7.83/5.46 tff(5220,plain,
% 7.83/5.46 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5219, 726, 5213])).
% 7.83/5.46 tff(5221,plain,
% 7.83/5.46 (m_main_v_state2(s61, c_n2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5220, 5202, 5157, 5194, 5190, 5182, 5165])).
% 7.83/5.46 tff(5222,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5223,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5224,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 7.83/5.46 tff(5225,plain,
% 7.83/5.46 (~m_main_v_state2(s61, c_c2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5224, 697, 5221])).
% 7.83/5.46 tff(5226,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5227,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5228,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 7.83/5.46 tff(5229,plain,
% 7.83/5.46 (~node3(s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5228, 399, 5225])).
% 7.83/5.46 tff(5230,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5231,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5232,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 7.83/5.46 tff(5233,plain,
% 7.83/5.46 (~node1(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5232, 421, 5178])).
% 7.83/5.46 tff(5234,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5235,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5236,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 7.83/5.46 tff(5237,plain,
% 7.83/5.46 (node18(s59, s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5236, 125, 5148])).
% 7.83/5.46 tff(5238,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5239,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5240,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 7.83/5.46 tff(5241,plain,
% 7.83/5.46 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5240, 760, 5237])).
% 7.83/5.46 tff(5242,plain,
% 7.83/5.46 (m_main_v_turn(s60, c_2)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5241, 5101, 5137])).
% 7.83/5.46 tff(5243,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5244,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5245,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 7.83/5.46 tff(5246,plain,
% 7.83/5.46 (~m_main_v_turn(s60, c_1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5245, 156, 5242])).
% 7.83/5.46 tff(5247,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5248,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5249,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 7.83/5.46 tff(5250,plain,
% 7.83/5.46 (~node5(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5249, 776, 5246])).
% 7.83/5.46 tff(5251,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5252,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5253,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 7.83/5.46 tff(5254,plain,
% 7.83/5.46 (~node2(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5253, 787, 5178])).
% 7.83/5.46 tff(5255,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5256,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5257,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 7.83/5.46 tff(5258,plain,
% 7.83/5.46 (~node3(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5257, 798, 5178])).
% 7.83/5.46 tff(5259,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5260,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5261,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 7.83/5.46 tff(5262,plain,
% 7.83/5.46 (~node4(s60)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5261, 388, 5198])).
% 7.83/5.46 tff(5263,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5264,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5265,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 7.83/5.46 tff(5266,plain,
% 7.83/5.46 (node7(s60, s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5265, 206, 5209])).
% 7.83/5.46 tff(5267,plain,
% 7.83/5.46 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5268,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5269,plain,
% 7.83/5.46 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 7.83/5.46 tff(5270,plain,
% 7.83/5.46 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5269, 820, 5266])).
% 7.83/5.46 tff(5271,plain,
% 7.83/5.46 (node6(s60, s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5270, 5262, 5186, 5258, 5254, 5250, 5233])).
% 7.83/5.46 tff(5272,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5273,plain,
% 7.83/5.46 (((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1))) <=> (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5274,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))))),
% 7.83/5.46 inference(monotonicity,[status(thm)],[5273])).
% 7.83/5.46 tff(5275,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 7.83/5.46 inference(transitivity,[status(thm)],[5274, 5272])).
% 7.83/5.46 tff(5276,plain,
% 7.83/5.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5277,plain,
% 7.83/5.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 7.83/5.46 tff(5278,plain,
% 7.83/5.46 (~m_main_v_state1(s61, c_n1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5277, 835, 5178, 5271])).
% 7.83/5.46 tff(5279,plain,
% 7.83/5.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5280,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5281,plain,
% 7.83/5.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 7.83/5.46 tff(5282,plain,
% 7.83/5.46 (~node2(s61)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5281, 787, 5278])).
% 7.83/5.46 tff(5283,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5284,plain,
% 7.83/5.46 (((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1)) <=> ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5285,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))))),
% 7.83/5.46 inference(monotonicity,[status(thm)],[5284])).
% 7.83/5.46 tff(5286,plain,
% 7.83/5.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 7.83/5.46 inference(transitivity,[status(thm)],[5285, 5283])).
% 7.83/5.46 tff(5287,plain,
% 7.83/5.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5288,plain,
% 7.83/5.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 7.83/5.46 tff(5289,plain,
% 7.83/5.46 (m_main_v_state1(s61, c_t1)),
% 7.83/5.46 inference(unit_resolution,[status(thm)],[5288, 856, 5174, 5271])).
% 7.83/5.46 tff(5290,plain,
% 7.83/5.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 7.83/5.46 inference(rewrite,[status(thm)],[])).
% 7.83/5.46 tff(5291,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 7.83/5.46 inference(quant_inst,[status(thm)],[])).
% 7.83/5.46 tff(5292,plain,
% 7.83/5.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2))),
% 7.83/5.46 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 7.83/5.47 tff(5293,plain,
% 7.83/5.47 (~m_main_v_state2(s61, c_t2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5292, 77, 5221])).
% 7.83/5.47 tff(5294,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5295,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5296,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 7.83/5.47 tff(5297,plain,
% 7.83/5.47 (~node1(s61)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5296, 195, 5293])).
% 7.83/5.47 tff(5298,plain,
% 7.83/5.47 (succ(s61, s62) <=> succ(s61, s62)),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5299,axiom,(succ(s61, s62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound62')).
% 7.83/5.47 tff(5300,plain,
% 7.83/5.47 (succ(s61, s62)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 7.83/5.47 tff(5301,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5302,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5303,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 7.83/5.47 tff(5304,plain,
% 7.83/5.47 (trans(s61, s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5303, 5300, 32])).
% 7.83/5.47 tff(5305,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5306,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5307,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 7.83/5.47 tff(5308,plain,
% 7.83/5.47 (node7(s61, s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5307, 206, 5304])).
% 7.83/5.47 tff(5309,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5310,plain,
% 7.83/5.47 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1)) <=> ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5311,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))))),
% 7.83/5.47 inference(monotonicity,[status(thm)],[5310])).
% 7.83/5.47 tff(5312,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 7.83/5.47 inference(transitivity,[status(thm)],[5311, 5309])).
% 7.83/5.47 tff(5313,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5314,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 7.83/5.47 tff(5315,plain,
% 7.83/5.47 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5314, 892, 5308])).
% 7.83/5.47 tff(5316,plain,
% 7.83/5.47 (m_main_v_state1(s62, c_c1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5315, 5297, 5221, 5289, 5282, 5229])).
% 7.83/5.47 tff(5317,plain,
% 7.83/5.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5318,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5319,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 7.83/5.47 tff(5320,plain,
% 7.83/5.47 (~m_main_v_state1(s62, c_t1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5319, 539, 5316])).
% 7.83/5.47 tff(5321,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5322,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5323,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 7.83/5.47 tff(5324,plain,
% 7.83/5.47 (~node5(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5323, 550, 5320])).
% 7.83/5.47 tff(5325,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5326,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5327,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 7.83/5.47 tff(5328,plain,
% 7.83/5.47 (node14(s61, s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5327, 46, 5304])).
% 7.83/5.47 tff(5329,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5330,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5331,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 7.83/5.47 tff(5332,plain,
% 7.83/5.47 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5331, 922, 5328])).
% 7.83/5.47 tff(5333,plain,
% 7.83/5.47 (m_main_v_state2(s62, c_t2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5332, 5289, 5221])).
% 7.83/5.47 tff(5334,plain,
% 7.83/5.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5335,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5336,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 7.83/5.47 tff(5337,plain,
% 7.83/5.47 (~m_main_v_state2(s62, c_n2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5336, 77, 5333])).
% 7.83/5.47 tff(5338,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5339,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5340,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 7.83/5.47 tff(5341,plain,
% 7.83/5.47 (~node4(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5340, 388, 5337])).
% 7.83/5.47 tff(5342,plain,
% 7.83/5.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5343,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5344,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 7.83/5.47 tff(5345,plain,
% 7.83/5.47 (~m_main_v_state2(s62, c_c2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5344, 260, 5333])).
% 7.83/5.47 tff(5346,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5347,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5348,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 7.83/5.47 tff(5349,plain,
% 7.83/5.47 (~node3(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5348, 399, 5345])).
% 7.83/5.47 tff(5350,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5351,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5352,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 7.83/5.47 tff(5353,plain,
% 7.83/5.47 (~node2(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5352, 410, 5337])).
% 7.83/5.47 tff(5354,plain,
% 7.83/5.47 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5355,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5356,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 7.83/5.47 tff(5357,plain,
% 7.83/5.47 (~m_main_v_state1(s62, c_n1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5356, 454, 5316])).
% 7.83/5.47 tff(5358,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5359,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5360,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 7.83/5.47 tff(5361,plain,
% 7.83/5.47 (~node1(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5360, 421, 5357])).
% 7.83/5.47 tff(5362,plain,
% 7.83/5.47 (succ(s62, s63) <=> succ(s62, s63)),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5363,axiom,(succ(s62, s63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound63')).
% 7.83/5.47 tff(5364,plain,
% 7.83/5.47 (succ(s62, s63)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 7.83/5.47 tff(5365,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5366,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5367,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 7.83/5.47 tff(5368,plain,
% 7.83/5.47 (trans(s62, s63)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5367, 5364, 32])).
% 7.83/5.47 tff(5369,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5370,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5371,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 7.83/5.47 tff(5372,plain,
% 7.83/5.47 (node7(s62, s63)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5371, 206, 5368])).
% 7.83/5.47 tff(5373,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5374,plain,
% 7.83/5.47 (((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1)) <=> (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5375,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))))),
% 7.83/5.47 inference(monotonicity,[status(thm)],[5374])).
% 7.83/5.47 tff(5376,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 7.83/5.47 inference(transitivity,[status(thm)],[5375, 5373])).
% 7.83/5.47 tff(5377,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5378,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 7.83/5.47 tff(5379,plain,
% 7.83/5.47 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5378, 584, 5372])).
% 7.83/5.47 tff(5380,plain,
% 7.83/5.47 (m_main_v_state1(s63, c_n1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5379, 5361, 5316, 5353, 5349, 5341, 5324])).
% 7.83/5.47 tff(5381,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5382,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5383,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 7.83/5.47 tff(5384,plain,
% 7.83/5.47 (~node15(s61)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5383, 103, 5293])).
% 7.83/5.47 tff(5385,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5386,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5387,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 7.83/5.47 tff(5388,plain,
% 7.83/5.47 (node18(s61, s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5387, 125, 5304])).
% 7.83/5.47 tff(5389,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5390,plain,
% 7.83/5.47 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1)) <=> (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5391,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)))),
% 7.83/5.47 inference(monotonicity,[status(thm)],[5390])).
% 7.83/5.47 tff(5392,plain,
% 7.83/5.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 7.83/5.47 inference(transitivity,[status(thm)],[5391, 5389])).
% 7.83/5.47 tff(5393,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5394,plain,
% 7.83/5.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 7.83/5.47 tff(5395,plain,
% 7.83/5.47 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5394, 992, 5388])).
% 7.83/5.47 tff(5396,plain,
% 7.83/5.47 (m_main_v_turn(s62, c_1)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5395, 5384, 5221, 5289])).
% 7.83/5.47 tff(5397,plain,
% 7.83/5.47 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5398,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5399,plain,
% 7.83/5.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 7.83/5.47 tff(5400,plain,
% 7.83/5.47 (~m_main_v_turn(s62, c_2)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5399, 156, 5396])).
% 7.83/5.47 tff(5401,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5402,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5403,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 7.83/5.47 tff(5404,plain,
% 7.83/5.47 (~node12(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5403, 184, 5400])).
% 7.83/5.47 tff(5405,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5406,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5407,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 7.83/5.47 tff(5408,plain,
% 7.83/5.47 (~node8(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5407, 271, 5337])).
% 7.83/5.47 tff(5409,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5410,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5411,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 7.83/5.47 tff(5412,plain,
% 7.83/5.47 (~node9(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5411, 88, 5337])).
% 7.83/5.47 tff(5413,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5414,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5415,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 7.83/5.47 tff(5416,plain,
% 7.83/5.47 (~node10(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5415, 249, 5337])).
% 7.83/5.47 tff(5417,plain,
% 7.83/5.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 7.83/5.47 inference(rewrite,[status(thm)],[])).
% 7.83/5.47 tff(5418,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 7.83/5.47 inference(quant_inst,[status(thm)],[])).
% 7.83/5.47 tff(5419,plain,
% 7.83/5.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 7.83/5.47 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 7.83/5.47 tff(5420,plain,
% 7.83/5.47 (~node11(s62)),
% 7.83/5.47 inference(unit_resolution,[status(thm)],[5419, 238, 5357])).
% 7.83/5.48 tff(5421,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5422,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5423,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 7.83/5.48 tff(5424,plain,
% 7.83/5.48 (node14(s62, s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5423, 46, 5368])).
% 7.83/5.48 tff(5425,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5426,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5427,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 7.83/5.48 tff(5428,plain,
% 7.83/5.48 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5427, 296, 5424])).
% 7.83/5.48 tff(5429,plain,
% 7.83/5.48 (node13(s62, s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5428, 5420, 5345, 5416, 5412, 5408, 5404])).
% 7.83/5.48 tff(5430,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5431,plain,
% 7.83/5.48 (((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2)) <=> ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5432,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))))),
% 7.83/5.48 inference(monotonicity,[status(thm)],[5431])).
% 7.83/5.48 tff(5433,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 7.83/5.48 inference(transitivity,[status(thm)],[5432, 5430])).
% 7.83/5.48 tff(5434,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5435,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 7.83/5.48 tff(5436,plain,
% 7.83/5.48 (m_main_v_state2(s63, c_t2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5435, 518, 5333, 5429])).
% 7.83/5.48 tff(5437,plain,
% 7.83/5.48 (succ(s63, s64) <=> succ(s63, s64)),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5438,axiom,(succ(s63, s64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound64')).
% 7.83/5.48 tff(5439,plain,
% 7.83/5.48 (succ(s63, s64)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 7.83/5.48 tff(5440,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5441,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5442,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 7.83/5.48 tff(5443,plain,
% 7.83/5.48 (trans(s63, s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5442, 5439, 32])).
% 7.83/5.48 tff(5444,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5445,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5446,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 7.83/5.48 tff(5447,plain,
% 7.83/5.48 (node7(s63, s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5446, 206, 5443])).
% 7.83/5.48 tff(5448,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5449,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5450,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 7.83/5.48 tff(5451,plain,
% 7.83/5.48 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5450, 651, 5447])).
% 7.83/5.48 tff(5452,plain,
% 7.83/5.48 (m_main_v_state1(s64, c_t1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5451, 5436, 5380])).
% 7.83/5.48 tff(5453,plain,
% 7.83/5.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5454,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5455,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 7.83/5.48 tff(5456,plain,
% 7.83/5.48 (~m_main_v_state1(s64, c_n1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5455, 10, 5452])).
% 7.83/5.48 tff(5457,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5458,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5459,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 7.83/5.48 tff(5460,plain,
% 7.83/5.48 (~node1(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5459, 421, 5456])).
% 7.83/5.48 tff(5461,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5462,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5463,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 7.83/5.48 tff(5464,plain,
% 7.83/5.48 (node18(s63, s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5463, 125, 5443])).
% 7.83/5.48 tff(5465,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5466,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5467,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 7.83/5.48 tff(5468,plain,
% 7.83/5.48 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5467, 760, 5464])).
% 7.83/5.48 tff(5469,plain,
% 7.83/5.48 (m_main_v_turn(s64, c_2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5468, 5436, 5380])).
% 7.83/5.48 tff(5470,plain,
% 7.83/5.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5471,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5472,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 7.83/5.48 tff(5473,plain,
% 7.83/5.48 (~m_main_v_turn(s64, c_1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5472, 156, 5469])).
% 7.83/5.48 tff(5474,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5475,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5476,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 7.83/5.48 tff(5477,plain,
% 7.83/5.48 (~node5(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5476, 776, 5473])).
% 7.83/5.48 tff(5478,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5479,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5480,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 7.83/5.48 tff(5481,plain,
% 7.83/5.48 (~node2(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5480, 787, 5456])).
% 7.83/5.48 tff(5482,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5483,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5484,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 7.83/5.48 tff(5485,plain,
% 7.83/5.48 (~node3(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5484, 798, 5456])).
% 7.83/5.48 tff(5486,plain,
% 7.83/5.48 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5487,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5488,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 7.83/5.48 tff(5489,plain,
% 7.83/5.48 (~m_main_v_state1(s64, c_c1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5488, 539, 5452])).
% 7.83/5.48 tff(5490,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5491,plain,
% 7.83/5.48 (((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2))) <=> (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5492,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))))),
% 7.83/5.48 inference(monotonicity,[status(thm)],[5491])).
% 7.83/5.48 tff(5493,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 7.83/5.48 inference(transitivity,[status(thm)],[5492, 5490])).
% 7.83/5.48 tff(5494,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5495,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 7.83/5.48 tff(5496,plain,
% 7.83/5.48 (~m_main_v_state2(s63, c_n2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5495, 311, 5337, 5429])).
% 7.83/5.48 tff(5497,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5498,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5499,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 7.83/5.48 tff(5500,plain,
% 7.83/5.48 (~node9(s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5499, 88, 5496])).
% 7.83/5.48 tff(5501,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5502,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5503,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 7.83/5.48 tff(5504,plain,
% 7.83/5.48 (~node10(s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5503, 249, 5496])).
% 7.83/5.48 tff(5505,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5506,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5507,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 7.83/5.48 tff(5508,plain,
% 7.83/5.48 (~node8(s63)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5507, 271, 5496])).
% 7.83/5.48 tff(5509,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5510,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5511,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 7.83/5.48 tff(5512,plain,
% 7.83/5.48 (node14(s63, s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5511, 46, 5443])).
% 7.83/5.48 tff(5513,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5514,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5515,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 7.83/5.48 tff(5516,plain,
% 7.83/5.48 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | m_main_v_state2(s64, c_c2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5515, 617, 5512])).
% 7.83/5.48 tff(5517,plain,
% 7.83/5.48 (m_main_v_state2(s64, c_c2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5516, 5508, 5380, 5436, 5504, 5500])).
% 7.83/5.48 tff(5518,plain,
% 7.83/5.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5519,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5520,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 7.83/5.48 tff(5521,plain,
% 7.83/5.48 (~m_main_v_state2(s64, c_n2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5520, 697, 5517])).
% 7.83/5.48 tff(5522,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5523,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5524,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 7.83/5.48 tff(5525,plain,
% 7.83/5.48 (~node4(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5524, 388, 5521])).
% 7.83/5.48 tff(5526,plain,
% 7.83/5.48 (succ(s64, s65) <=> succ(s64, s65)),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5527,axiom,(succ(s64, s65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound65')).
% 7.83/5.48 tff(5528,plain,
% 7.83/5.48 (succ(s64, s65)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 7.83/5.48 tff(5529,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5530,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5531,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 7.83/5.48 tff(5532,plain,
% 7.83/5.48 (trans(s64, s65)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5531, 5528, 32])).
% 7.83/5.48 tff(5533,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5534,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5535,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 7.83/5.48 tff(5536,plain,
% 7.83/5.48 (node7(s64, s65)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5535, 206, 5532])).
% 7.83/5.48 tff(5537,plain,
% 7.83/5.48 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5538,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5539,plain,
% 7.83/5.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 7.83/5.48 tff(5540,plain,
% 7.83/5.48 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5539, 820, 5536])).
% 7.83/5.48 tff(5541,plain,
% 7.83/5.48 (node6(s64, s65)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5540, 5525, 5489, 5485, 5481, 5477, 5460])).
% 7.83/5.48 tff(5542,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5543,plain,
% 7.83/5.48 (((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1)) <=> ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5544,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))))),
% 7.83/5.48 inference(monotonicity,[status(thm)],[5543])).
% 7.83/5.48 tff(5545,plain,
% 7.83/5.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 7.83/5.48 inference(transitivity,[status(thm)],[5544, 5542])).
% 7.83/5.48 tff(5546,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5547,plain,
% 7.83/5.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 7.83/5.48 tff(5548,plain,
% 7.83/5.48 (m_main_v_state1(s65, c_t1)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5547, 856, 5452, 5541])).
% 7.83/5.48 tff(5549,plain,
% 7.83/5.48 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5550,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5551,plain,
% 7.83/5.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 7.83/5.48 tff(5552,plain,
% 7.83/5.48 (~m_main_v_state2(s64, c_t2)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5551, 260, 5517])).
% 7.83/5.48 tff(5553,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5554,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5555,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 7.83/5.48 tff(5556,plain,
% 7.83/5.48 (~node12(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5555, 633, 5552])).
% 7.83/5.48 tff(5557,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5558,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5559,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 7.83/5.48 tff(5560,plain,
% 7.83/5.48 (~node11(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5559, 238, 5456])).
% 7.83/5.48 tff(5561,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 7.83/5.48 inference(rewrite,[status(thm)],[])).
% 7.83/5.48 tff(5562,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 7.83/5.48 inference(quant_inst,[status(thm)],[])).
% 7.83/5.48 tff(5563,plain,
% 7.83/5.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 7.83/5.48 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 7.83/5.48 tff(5564,plain,
% 7.83/5.48 (~node10(s64)),
% 7.83/5.48 inference(unit_resolution,[status(thm)],[5563, 675, 5489])).
% 7.83/5.48 tff(5565,plain,
% 7.83/5.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5566,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5567,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 7.83/5.49 tff(5568,plain,
% 7.83/5.49 (~node9(s64)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5567, 686, 5456])).
% 7.83/5.49 tff(5569,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5570,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5571,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 7.83/5.49 tff(5572,plain,
% 7.83/5.49 (~node8(s64)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5571, 271, 5521])).
% 7.83/5.49 tff(5573,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5574,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5575,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 7.83/5.49 tff(5576,plain,
% 7.83/5.49 (node14(s64, s65)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5575, 46, 5532])).
% 7.83/5.49 tff(5577,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5578,plain,
% 7.83/5.49 (((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2)) <=> (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5579,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))))),
% 7.83/5.49 inference(monotonicity,[status(thm)],[5578])).
% 7.83/5.49 tff(5580,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 7.83/5.49 inference(transitivity,[status(thm)],[5579, 5577])).
% 7.83/5.49 tff(5581,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5582,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 7.83/5.49 tff(5583,plain,
% 7.83/5.49 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5582, 726, 5576])).
% 7.83/5.49 tff(5584,plain,
% 7.83/5.49 (m_main_v_state2(s65, c_n2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5583, 5572, 5517, 5568, 5564, 5560, 5556])).
% 7.83/5.49 tff(5585,plain,
% 7.83/5.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5586,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5587,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 7.83/5.49 tff(5588,plain,
% 7.83/5.49 (~m_main_v_state2(s65, c_t2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5587, 77, 5584])).
% 7.83/5.49 tff(5589,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5590,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5591,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 7.83/5.49 tff(5592,plain,
% 7.83/5.49 (~node15(s65)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5591, 103, 5588])).
% 7.83/5.49 tff(5593,plain,
% 7.83/5.49 (succ(s65, s66) <=> succ(s65, s66)),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5594,axiom,(succ(s65, s66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound66')).
% 7.83/5.49 tff(5595,plain,
% 7.83/5.49 (succ(s65, s66)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 7.83/5.49 tff(5596,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5597,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5598,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 7.83/5.49 tff(5599,plain,
% 7.83/5.49 (trans(s65, s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5598, 5595, 32])).
% 7.83/5.49 tff(5600,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5601,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5602,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 7.83/5.49 tff(5603,plain,
% 7.83/5.49 (node18(s65, s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5602, 125, 5599])).
% 7.83/5.49 tff(5604,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5605,plain,
% 7.83/5.49 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1)) <=> (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5606,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)))),
% 7.83/5.49 inference(monotonicity,[status(thm)],[5605])).
% 7.83/5.49 tff(5607,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 7.83/5.49 inference(transitivity,[status(thm)],[5606, 5604])).
% 7.83/5.49 tff(5608,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5609,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 7.83/5.49 tff(5610,plain,
% 7.83/5.49 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5609, 992, 5603])).
% 7.83/5.49 tff(5611,plain,
% 7.83/5.49 (m_main_v_turn(s66, c_1)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5610, 5592, 5584, 5548])).
% 7.83/5.49 tff(5612,plain,
% 7.83/5.49 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5613,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5614,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 7.83/5.49 tff(5615,plain,
% 7.83/5.49 (~m_main_v_turn(s66, c_2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5614, 156, 5611])).
% 7.83/5.49 tff(5616,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5617,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5618,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 7.83/5.49 tff(5619,plain,
% 7.83/5.49 (~node12(s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5618, 184, 5615])).
% 7.83/5.49 tff(5620,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5621,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5622,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 7.83/5.49 tff(5623,plain,
% 7.83/5.49 (node14(s65, s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5622, 46, 5599])).
% 7.83/5.49 tff(5624,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5625,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5626,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 7.83/5.49 tff(5627,plain,
% 7.83/5.49 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5626, 922, 5623])).
% 7.83/5.49 tff(5628,plain,
% 7.83/5.49 (m_main_v_state2(s66, c_t2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5627, 5548, 5584])).
% 7.83/5.49 tff(5629,plain,
% 7.83/5.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5630,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5631,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 7.83/5.49 tff(5632,plain,
% 7.83/5.49 (~m_main_v_state2(s66, c_n2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5631, 77, 5628])).
% 7.83/5.49 tff(5633,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5634,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5635,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 7.83/5.49 tff(5636,plain,
% 7.83/5.49 (~node8(s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5635, 271, 5632])).
% 7.83/5.49 tff(5637,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5638,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5639,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 7.83/5.49 tff(5640,plain,
% 7.83/5.49 (~node9(s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5639, 88, 5632])).
% 7.83/5.49 tff(5641,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5642,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5643,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 7.83/5.49 tff(5644,plain,
% 7.83/5.49 (~node10(s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5643, 249, 5632])).
% 7.83/5.49 tff(5645,plain,
% 7.83/5.49 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5646,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5647,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 7.83/5.49 tff(5648,plain,
% 7.83/5.49 (~m_main_v_state2(s66, c_c2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5647, 260, 5628])).
% 7.83/5.49 tff(5649,plain,
% 7.83/5.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5650,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5651,plain,
% 7.83/5.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 7.83/5.49 tff(5652,plain,
% 7.83/5.49 (~m_main_v_state2(s65, c_c2)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5651, 697, 5584])).
% 7.83/5.49 tff(5653,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5654,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5655,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 7.83/5.49 tff(5656,plain,
% 7.83/5.49 (~node3(s65)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5655, 399, 5652])).
% 7.83/5.49 tff(5657,plain,
% 7.83/5.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5658,plain,
% 7.83/5.49 (((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1))) <=> (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5659,plain,
% 7.83/5.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))))),
% 7.83/5.49 inference(monotonicity,[status(thm)],[5658])).
% 7.83/5.49 tff(5660,plain,
% 7.83/5.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 7.83/5.49 inference(transitivity,[status(thm)],[5659, 5657])).
% 7.83/5.49 tff(5661,plain,
% 7.83/5.49 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5662,plain,
% 7.83/5.49 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 7.83/5.49 tff(5663,plain,
% 7.83/5.49 (~m_main_v_state1(s65, c_n1)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5662, 835, 5456, 5541])).
% 7.83/5.49 tff(5664,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5665,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5666,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 7.83/5.49 tff(5667,plain,
% 7.83/5.49 (~node2(s65)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5666, 787, 5663])).
% 7.83/5.49 tff(5668,plain,
% 7.83/5.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5669,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5670,plain,
% 7.83/5.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 7.83/5.49 tff(5671,plain,
% 7.83/5.49 (~node1(s65)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5670, 195, 5588])).
% 7.83/5.49 tff(5672,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5673,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5674,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 7.83/5.49 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 7.83/5.49 tff(5675,plain,
% 7.83/5.49 (node7(s65, s66)),
% 7.83/5.49 inference(unit_resolution,[status(thm)],[5674, 206, 5599])).
% 7.83/5.49 tff(5676,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5677,plain,
% 7.83/5.49 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1)) <=> ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 7.83/5.49 inference(rewrite,[status(thm)],[])).
% 7.83/5.49 tff(5678,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))))),
% 7.83/5.49 inference(monotonicity,[status(thm)],[5677])).
% 7.83/5.49 tff(5679,plain,
% 7.83/5.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 7.83/5.49 inference(transitivity,[status(thm)],[5678, 5676])).
% 7.83/5.49 tff(5680,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))),
% 7.83/5.49 inference(quant_inst,[status(thm)],[])).
% 7.83/5.49 tff(5681,plain,
% 7.83/5.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 7.83/5.50 tff(5682,plain,
% 7.83/5.50 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5681, 892, 5675])).
% 7.83/5.50 tff(5683,plain,
% 7.83/5.50 (m_main_v_state1(s66, c_c1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5682, 5671, 5584, 5548, 5667, 5656])).
% 7.83/5.50 tff(5684,plain,
% 7.83/5.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5685,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5686,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 7.83/5.50 tff(5687,plain,
% 7.83/5.50 (~m_main_v_state1(s66, c_n1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5686, 454, 5683])).
% 7.83/5.50 tff(5688,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5689,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5690,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 7.83/5.50 tff(5691,plain,
% 7.83/5.50 (~node11(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5690, 238, 5687])).
% 7.83/5.50 tff(5692,plain,
% 7.83/5.50 (succ(s66, s67) <=> succ(s66, s67)),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5693,axiom,(succ(s66, s67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound67')).
% 7.83/5.50 tff(5694,plain,
% 7.83/5.50 (succ(s66, s67)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 7.83/5.50 tff(5695,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5696,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5697,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 7.83/5.50 tff(5698,plain,
% 7.83/5.50 (trans(s66, s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5697, 5694, 32])).
% 7.83/5.50 tff(5699,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5700,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5701,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 7.83/5.50 tff(5702,plain,
% 7.83/5.50 (node14(s66, s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5701, 46, 5698])).
% 7.83/5.50 tff(5703,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5704,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5705,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 7.83/5.50 tff(5706,plain,
% 7.83/5.50 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5705, 296, 5702])).
% 7.83/5.50 tff(5707,plain,
% 7.83/5.50 (node13(s66, s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5706, 5691, 5648, 5644, 5640, 5636, 5619])).
% 7.83/5.50 tff(5708,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5709,plain,
% 7.83/5.50 (((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2))) <=> (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5710,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))))),
% 7.83/5.50 inference(monotonicity,[status(thm)],[5709])).
% 7.83/5.50 tff(5711,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 7.83/5.50 inference(transitivity,[status(thm)],[5710, 5708])).
% 7.83/5.50 tff(5712,plain,
% 7.83/5.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5713,plain,
% 7.83/5.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 7.83/5.50 tff(5714,plain,
% 7.83/5.50 (~m_main_v_state2(s67, c_n2)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5713, 311, 5632, 5707])).
% 7.83/5.50 tff(5715,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5716,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5717,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 7.83/5.50 tff(5718,plain,
% 7.83/5.50 (~node9(s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5717, 88, 5714])).
% 7.83/5.50 tff(5719,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5720,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5721,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 7.83/5.50 tff(5722,plain,
% 7.83/5.50 (~node10(s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5721, 249, 5714])).
% 7.83/5.50 tff(5723,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5724,plain,
% 7.83/5.50 (((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2)) <=> ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5725,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))))),
% 7.83/5.50 inference(monotonicity,[status(thm)],[5724])).
% 7.83/5.50 tff(5726,plain,
% 7.83/5.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 7.83/5.50 inference(transitivity,[status(thm)],[5725, 5723])).
% 7.83/5.50 tff(5727,plain,
% 7.83/5.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5728,plain,
% 7.83/5.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 7.83/5.50 tff(5729,plain,
% 7.83/5.50 (m_main_v_state2(s67, c_t2)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5728, 518, 5628, 5707])).
% 7.83/5.50 tff(5730,plain,
% 7.83/5.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5731,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5732,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 7.83/5.50 tff(5733,plain,
% 7.83/5.50 (~m_main_v_state1(s66, c_t1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5732, 539, 5683])).
% 7.83/5.50 tff(5734,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5735,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5736,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 7.83/5.50 tff(5737,plain,
% 7.83/5.50 (~node5(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5736, 550, 5733])).
% 7.83/5.50 tff(5738,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5739,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5740,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 7.83/5.50 tff(5741,plain,
% 7.83/5.50 (~node4(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5740, 388, 5632])).
% 7.83/5.50 tff(5742,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5743,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5744,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 7.83/5.50 tff(5745,plain,
% 7.83/5.50 (~node3(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5744, 399, 5648])).
% 7.83/5.50 tff(5746,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5747,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5748,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 7.83/5.50 tff(5749,plain,
% 7.83/5.50 (~node2(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5748, 410, 5632])).
% 7.83/5.50 tff(5750,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5751,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5752,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 7.83/5.50 tff(5753,plain,
% 7.83/5.50 (~node1(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5752, 421, 5687])).
% 7.83/5.50 tff(5754,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5755,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5756,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 7.83/5.50 tff(5757,plain,
% 7.83/5.50 (node7(s66, s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5756, 206, 5698])).
% 7.83/5.50 tff(5758,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5759,plain,
% 7.83/5.50 (((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1)) <=> (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5760,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))))),
% 7.83/5.50 inference(monotonicity,[status(thm)],[5759])).
% 7.83/5.50 tff(5761,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 7.83/5.50 inference(transitivity,[status(thm)],[5760, 5758])).
% 7.83/5.50 tff(5762,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5763,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 7.83/5.50 tff(5764,plain,
% 7.83/5.50 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5763, 584, 5757])).
% 7.83/5.50 tff(5765,plain,
% 7.83/5.50 (m_main_v_state1(s67, c_n1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5764, 5753, 5683, 5749, 5745, 5741, 5737])).
% 7.83/5.50 tff(5766,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5767,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5768,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 7.83/5.50 tff(5769,plain,
% 7.83/5.50 (~node8(s67)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5768, 271, 5714])).
% 7.83/5.50 tff(5770,plain,
% 7.83/5.50 (succ(s67, s68) <=> succ(s67, s68)),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5771,axiom,(succ(s67, s68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound68')).
% 7.83/5.50 tff(5772,plain,
% 7.83/5.50 (succ(s67, s68)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 7.83/5.50 tff(5773,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5774,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5775,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 7.83/5.50 tff(5776,plain,
% 7.83/5.50 (trans(s67, s68)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5775, 5772, 32])).
% 7.83/5.50 tff(5777,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5778,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5779,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 7.83/5.50 tff(5780,plain,
% 7.83/5.50 (node14(s67, s68)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5779, 46, 5776])).
% 7.83/5.50 tff(5781,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5782,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5783,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 7.83/5.50 tff(5784,plain,
% 7.83/5.50 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | m_main_v_state2(s68, c_c2)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5783, 617, 5780])).
% 7.83/5.50 tff(5785,plain,
% 7.83/5.50 (m_main_v_state2(s68, c_c2)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5784, 5769, 5765, 5729, 5722, 5718])).
% 7.83/5.50 tff(5786,plain,
% 7.83/5.50 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5787,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5788,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 7.83/5.50 tff(5789,plain,
% 7.83/5.50 (~m_main_v_state2(s68, c_t2)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5788, 260, 5785])).
% 7.83/5.50 tff(5790,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5791,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5792,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 7.83/5.50 tff(5793,plain,
% 7.83/5.50 (~node12(s68)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5792, 633, 5789])).
% 7.83/5.50 tff(5794,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5795,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5796,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 7.83/5.50 tff(5797,plain,
% 7.83/5.50 (node7(s67, s68)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5796, 206, 5776])).
% 7.83/5.50 tff(5798,plain,
% 7.83/5.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5799,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5800,plain,
% 7.83/5.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1)),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 7.83/5.50 tff(5801,plain,
% 7.83/5.50 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5800, 651, 5797])).
% 7.83/5.50 tff(5802,plain,
% 7.83/5.50 (m_main_v_state1(s68, c_t1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5801, 5729, 5765])).
% 7.83/5.50 tff(5803,plain,
% 7.83/5.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5804,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5805,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 7.83/5.50 tff(5806,plain,
% 7.83/5.50 (~m_main_v_state1(s68, c_n1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5805, 10, 5802])).
% 7.83/5.50 tff(5807,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5808,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5809,plain,
% 7.83/5.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 7.83/5.50 tff(5810,plain,
% 7.83/5.50 (~node11(s68)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5809, 238, 5806])).
% 7.83/5.50 tff(5811,plain,
% 7.83/5.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 7.83/5.50 inference(rewrite,[status(thm)],[])).
% 7.83/5.50 tff(5812,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 7.83/5.50 inference(quant_inst,[status(thm)],[])).
% 7.83/5.50 tff(5813,plain,
% 7.83/5.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1))),
% 7.83/5.50 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 7.83/5.50 tff(5814,plain,
% 7.83/5.50 (~m_main_v_state1(s68, c_c1)),
% 7.83/5.50 inference(unit_resolution,[status(thm)],[5813, 539, 5802])).
% 7.83/5.50 tff(5815,plain,
% 7.83/5.50 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5816,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5817,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 7.83/5.51 tff(5818,plain,
% 7.83/5.51 (~node10(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5817, 675, 5814])).
% 7.83/5.51 tff(5819,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5820,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5821,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 7.83/5.51 tff(5822,plain,
% 7.83/5.51 (~node9(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5821, 686, 5806])).
% 7.83/5.51 tff(5823,plain,
% 7.83/5.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5824,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5825,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 7.83/5.51 tff(5826,plain,
% 7.83/5.51 (~m_main_v_state2(s68, c_n2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5825, 697, 5785])).
% 7.83/5.51 tff(5827,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5828,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5829,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 7.83/5.51 tff(5830,plain,
% 7.83/5.51 (~node8(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5829, 271, 5826])).
% 7.83/5.51 tff(5831,plain,
% 7.83/5.51 (succ(s68, s69) <=> succ(s68, s69)),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5832,axiom,(succ(s68, s69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound69')).
% 7.83/5.51 tff(5833,plain,
% 7.83/5.51 (succ(s68, s69)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 7.83/5.51 tff(5834,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5835,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5836,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 7.83/5.51 tff(5837,plain,
% 7.83/5.51 (trans(s68, s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5836, 5833, 32])).
% 7.83/5.51 tff(5838,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5839,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5840,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 7.83/5.51 tff(5841,plain,
% 7.83/5.51 (node14(s68, s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5840, 46, 5837])).
% 7.83/5.51 tff(5842,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5843,plain,
% 7.83/5.51 (((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2)) <=> (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5844,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))))),
% 7.83/5.51 inference(monotonicity,[status(thm)],[5843])).
% 7.83/5.51 tff(5845,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 7.83/5.51 inference(transitivity,[status(thm)],[5844, 5842])).
% 7.83/5.51 tff(5846,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5847,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 7.83/5.51 tff(5848,plain,
% 7.83/5.51 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5847, 726, 5841])).
% 7.83/5.51 tff(5849,plain,
% 7.83/5.51 (m_main_v_state2(s69, c_n2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5848, 5830, 5785, 5822, 5818, 5810, 5793])).
% 7.83/5.51 tff(5850,plain,
% 7.83/5.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5851,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5852,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 7.83/5.51 tff(5853,plain,
% 7.83/5.51 (~m_main_v_state2(s69, c_c2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5852, 697, 5849])).
% 7.83/5.51 tff(5854,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5855,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5856,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 7.83/5.51 tff(5857,plain,
% 7.83/5.51 (~node3(s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5856, 399, 5853])).
% 7.83/5.51 tff(5858,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5859,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5860,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 7.83/5.51 tff(5861,plain,
% 7.83/5.51 (~node1(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5860, 421, 5806])).
% 7.83/5.51 tff(5862,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5863,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5864,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 7.83/5.51 tff(5865,plain,
% 7.83/5.51 (node18(s67, s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5864, 125, 5776])).
% 7.83/5.51 tff(5866,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5867,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5868,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 7.83/5.51 tff(5869,plain,
% 7.83/5.51 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5868, 760, 5865])).
% 7.83/5.51 tff(5870,plain,
% 7.83/5.51 (m_main_v_turn(s68, c_2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5869, 5729, 5765])).
% 7.83/5.51 tff(5871,plain,
% 7.83/5.51 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5872,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5873,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 7.83/5.51 tff(5874,plain,
% 7.83/5.51 (~m_main_v_turn(s68, c_1)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5873, 156, 5870])).
% 7.83/5.51 tff(5875,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5876,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5877,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 7.83/5.51 tff(5878,plain,
% 7.83/5.51 (~node5(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5877, 776, 5874])).
% 7.83/5.51 tff(5879,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5880,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5881,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 7.83/5.51 tff(5882,plain,
% 7.83/5.51 (~node2(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5881, 787, 5806])).
% 7.83/5.51 tff(5883,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5884,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5885,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 7.83/5.51 tff(5886,plain,
% 7.83/5.51 (~node3(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5885, 798, 5806])).
% 7.83/5.51 tff(5887,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5888,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5889,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 7.83/5.51 tff(5890,plain,
% 7.83/5.51 (~node4(s68)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5889, 388, 5826])).
% 7.83/5.51 tff(5891,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5892,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5893,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 7.83/5.51 tff(5894,plain,
% 7.83/5.51 (node7(s68, s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5893, 206, 5837])).
% 7.83/5.51 tff(5895,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5896,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5897,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 7.83/5.51 tff(5898,plain,
% 7.83/5.51 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5897, 820, 5894])).
% 7.83/5.51 tff(5899,plain,
% 7.83/5.51 (node6(s68, s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5898, 5890, 5814, 5886, 5882, 5878, 5861])).
% 7.83/5.51 tff(5900,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5901,plain,
% 7.83/5.51 (((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1))) <=> (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5902,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))))),
% 7.83/5.51 inference(monotonicity,[status(thm)],[5901])).
% 7.83/5.51 tff(5903,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 7.83/5.51 inference(transitivity,[status(thm)],[5902, 5900])).
% 7.83/5.51 tff(5904,plain,
% 7.83/5.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5905,plain,
% 7.83/5.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 7.83/5.51 tff(5906,plain,
% 7.83/5.51 (~m_main_v_state1(s69, c_n1)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5905, 835, 5806, 5899])).
% 7.83/5.51 tff(5907,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5908,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5909,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 7.83/5.51 tff(5910,plain,
% 7.83/5.51 (~node2(s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5909, 787, 5906])).
% 7.83/5.51 tff(5911,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5912,plain,
% 7.83/5.51 (((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1)) <=> ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5913,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))))),
% 7.83/5.51 inference(monotonicity,[status(thm)],[5912])).
% 7.83/5.51 tff(5914,plain,
% 7.83/5.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 7.83/5.51 inference(transitivity,[status(thm)],[5913, 5911])).
% 7.83/5.51 tff(5915,plain,
% 7.83/5.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5916,plain,
% 7.83/5.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 7.83/5.51 tff(5917,plain,
% 7.83/5.51 (m_main_v_state1(s69, c_t1)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5916, 856, 5802, 5899])).
% 7.83/5.51 tff(5918,plain,
% 7.83/5.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5919,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5920,plain,
% 7.83/5.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 7.83/5.51 tff(5921,plain,
% 7.83/5.51 (~m_main_v_state2(s69, c_t2)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5920, 77, 5849])).
% 7.83/5.51 tff(5922,plain,
% 7.83/5.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5923,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5924,plain,
% 7.83/5.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 7.83/5.51 tff(5925,plain,
% 7.83/5.51 (~node1(s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5924, 195, 5921])).
% 7.83/5.51 tff(5926,plain,
% 7.83/5.51 (succ(s69, s70) <=> succ(s69, s70)),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5927,axiom,(succ(s69, s70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound70')).
% 7.83/5.51 tff(5928,plain,
% 7.83/5.51 (succ(s69, s70)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 7.83/5.51 tff(5929,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5930,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5931,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 7.83/5.51 tff(5932,plain,
% 7.83/5.51 (trans(s69, s70)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5931, 5928, 32])).
% 7.83/5.51 tff(5933,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5934,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5935,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 7.83/5.51 tff(5936,plain,
% 7.83/5.51 (node7(s69, s70)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5935, 206, 5932])).
% 7.83/5.51 tff(5937,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5938,plain,
% 7.83/5.51 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1)) <=> ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 7.83/5.51 inference(rewrite,[status(thm)],[])).
% 7.83/5.51 tff(5939,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))))),
% 7.83/5.51 inference(monotonicity,[status(thm)],[5938])).
% 7.83/5.51 tff(5940,plain,
% 7.83/5.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 7.83/5.51 inference(transitivity,[status(thm)],[5939, 5937])).
% 7.83/5.51 tff(5941,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))),
% 7.83/5.51 inference(quant_inst,[status(thm)],[])).
% 7.83/5.51 tff(5942,plain,
% 7.83/5.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))),
% 7.83/5.51 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 7.83/5.51 tff(5943,plain,
% 7.83/5.51 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5942, 892, 5936])).
% 7.83/5.51 tff(5944,plain,
% 7.83/5.51 (m_main_v_state1(s70, c_c1)),
% 7.83/5.51 inference(unit_resolution,[status(thm)],[5943, 5925, 5849, 5917, 5910, 5857])).
% 7.83/5.52 tff(5945,plain,
% 7.83/5.52 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5946,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5947,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 7.83/5.52 tff(5948,plain,
% 7.83/5.52 (~m_main_v_state1(s70, c_t1)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5947, 539, 5944])).
% 7.83/5.52 tff(5949,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5950,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5951,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 7.83/5.52 tff(5952,plain,
% 7.83/5.52 (~node5(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5951, 550, 5948])).
% 7.83/5.52 tff(5953,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5954,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5955,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 7.83/5.52 tff(5956,plain,
% 7.83/5.52 (node14(s69, s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5955, 46, 5932])).
% 7.83/5.52 tff(5957,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5958,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5959,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 7.83/5.52 tff(5960,plain,
% 7.83/5.52 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5959, 922, 5956])).
% 7.83/5.52 tff(5961,plain,
% 7.83/5.52 (m_main_v_state2(s70, c_t2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5960, 5917, 5849])).
% 7.83/5.52 tff(5962,plain,
% 7.83/5.52 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5963,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5964,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 7.83/5.52 tff(5965,plain,
% 7.83/5.52 (~m_main_v_state2(s70, c_n2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5964, 77, 5961])).
% 7.83/5.52 tff(5966,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5967,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5968,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 7.83/5.52 tff(5969,plain,
% 7.83/5.52 (~node4(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5968, 388, 5965])).
% 7.83/5.52 tff(5970,plain,
% 7.83/5.52 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5971,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5972,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 7.83/5.52 tff(5973,plain,
% 7.83/5.52 (~m_main_v_state2(s70, c_c2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5972, 260, 5961])).
% 7.83/5.52 tff(5974,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5975,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5976,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 7.83/5.52 tff(5977,plain,
% 7.83/5.52 (~node3(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5976, 399, 5973])).
% 7.83/5.52 tff(5978,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5979,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5980,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 7.83/5.52 tff(5981,plain,
% 7.83/5.52 (~node2(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5980, 410, 5965])).
% 7.83/5.52 tff(5982,plain,
% 7.83/5.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5983,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5984,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 7.83/5.52 tff(5985,plain,
% 7.83/5.52 (~m_main_v_state1(s70, c_n1)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5984, 454, 5944])).
% 7.83/5.52 tff(5986,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5987,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5988,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 7.83/5.52 tff(5989,plain,
% 7.83/5.52 (~node1(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5988, 421, 5985])).
% 7.83/5.52 tff(5990,plain,
% 7.83/5.52 (succ(s70, s71) <=> succ(s70, s71)),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5991,axiom,(succ(s70, s71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound71')).
% 7.83/5.52 tff(5992,plain,
% 7.83/5.52 (succ(s70, s71)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 7.83/5.52 tff(5993,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5994,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5995,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 7.83/5.52 tff(5996,plain,
% 7.83/5.52 (trans(s70, s71)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5995, 5992, 32])).
% 7.83/5.52 tff(5997,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(5998,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(5999,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 7.83/5.52 tff(6000,plain,
% 7.83/5.52 (node7(s70, s71)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[5999, 206, 5996])).
% 7.83/5.52 tff(6001,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6002,plain,
% 7.83/5.52 (((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1)) <=> (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6003,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))))),
% 7.83/5.52 inference(monotonicity,[status(thm)],[6002])).
% 7.83/5.52 tff(6004,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 7.83/5.52 inference(transitivity,[status(thm)],[6003, 6001])).
% 7.83/5.52 tff(6005,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6006,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 7.83/5.52 tff(6007,plain,
% 7.83/5.52 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6006, 584, 6000])).
% 7.83/5.52 tff(6008,plain,
% 7.83/5.52 (m_main_v_state1(s71, c_n1)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6007, 5989, 5944, 5981, 5977, 5969, 5952])).
% 7.83/5.52 tff(6009,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6010,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6011,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 7.83/5.52 tff(6012,plain,
% 7.83/5.52 (~node15(s69)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6011, 103, 5921])).
% 7.83/5.52 tff(6013,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6014,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6015,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 7.83/5.52 tff(6016,plain,
% 7.83/5.52 (node18(s69, s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6015, 125, 5932])).
% 7.83/5.52 tff(6017,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6018,plain,
% 7.83/5.52 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1)) <=> (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6019,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)))),
% 7.83/5.52 inference(monotonicity,[status(thm)],[6018])).
% 7.83/5.52 tff(6020,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 7.83/5.52 inference(transitivity,[status(thm)],[6019, 6017])).
% 7.83/5.52 tff(6021,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6022,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 7.83/5.52 tff(6023,plain,
% 7.83/5.52 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6022, 992, 6016])).
% 7.83/5.52 tff(6024,plain,
% 7.83/5.52 (m_main_v_turn(s70, c_1)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6023, 6012, 5849, 5917])).
% 7.83/5.52 tff(6025,plain,
% 7.83/5.52 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6026,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6027,plain,
% 7.83/5.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 7.83/5.52 tff(6028,plain,
% 7.83/5.52 (~m_main_v_turn(s70, c_2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6027, 156, 6024])).
% 7.83/5.52 tff(6029,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6030,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6031,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 7.83/5.52 tff(6032,plain,
% 7.83/5.52 (~node12(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6031, 184, 6028])).
% 7.83/5.52 tff(6033,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6034,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6035,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 7.83/5.52 tff(6036,plain,
% 7.83/5.52 (~node8(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6035, 271, 5965])).
% 7.83/5.52 tff(6037,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6038,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6039,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 7.83/5.52 tff(6040,plain,
% 7.83/5.52 (~node9(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6039, 88, 5965])).
% 7.83/5.52 tff(6041,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6042,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6043,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 7.83/5.52 tff(6044,plain,
% 7.83/5.52 (~node10(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6043, 249, 5965])).
% 7.83/5.52 tff(6045,plain,
% 7.83/5.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6046,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6047,plain,
% 7.83/5.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 7.83/5.52 tff(6048,plain,
% 7.83/5.52 (~node11(s70)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6047, 238, 5985])).
% 7.83/5.52 tff(6049,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6050,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6051,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 7.83/5.52 tff(6052,plain,
% 7.83/5.52 (node14(s70, s71)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6051, 46, 5996])).
% 7.83/5.52 tff(6053,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6054,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6055,plain,
% 7.83/5.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 7.83/5.52 tff(6056,plain,
% 7.83/5.52 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6055, 296, 6052])).
% 7.83/5.52 tff(6057,plain,
% 7.83/5.52 (node13(s70, s71)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6056, 6048, 5973, 6044, 6040, 6036, 6032])).
% 7.83/5.52 tff(6058,plain,
% 7.83/5.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6059,plain,
% 7.83/5.52 (((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2)) <=> ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6060,plain,
% 7.83/5.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))))),
% 7.83/5.52 inference(monotonicity,[status(thm)],[6059])).
% 7.83/5.52 tff(6061,plain,
% 7.83/5.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 7.83/5.52 inference(transitivity,[status(thm)],[6060, 6058])).
% 7.83/5.52 tff(6062,plain,
% 7.83/5.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))),
% 7.83/5.52 inference(quant_inst,[status(thm)],[])).
% 7.83/5.52 tff(6063,plain,
% 7.83/5.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 7.83/5.52 tff(6064,plain,
% 7.83/5.52 (m_main_v_state2(s71, c_t2)),
% 7.83/5.52 inference(unit_resolution,[status(thm)],[6063, 518, 5961, 6057])).
% 7.83/5.52 tff(6065,plain,
% 7.83/5.52 (succ(s71, s72) <=> succ(s71, s72)),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.52 tff(6066,axiom,(succ(s71, s72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound72')).
% 7.83/5.52 tff(6067,plain,
% 7.83/5.52 (succ(s71, s72)),
% 7.83/5.52 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 7.83/5.52 tff(6068,plain,
% 7.83/5.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72))),
% 7.83/5.52 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6069,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6070,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 7.83/5.53 tff(6071,plain,
% 7.83/5.53 (trans(s71, s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6070, 6067, 32])).
% 7.83/5.53 tff(6072,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6073,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6074,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 7.83/5.53 tff(6075,plain,
% 7.83/5.53 (node7(s71, s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6074, 206, 6071])).
% 7.83/5.53 tff(6076,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6077,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6078,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 7.83/5.53 tff(6079,plain,
% 7.83/5.53 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6078, 651, 6075])).
% 7.83/5.53 tff(6080,plain,
% 7.83/5.53 (m_main_v_state1(s72, c_t1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6079, 6064, 6008])).
% 7.83/5.53 tff(6081,plain,
% 7.83/5.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6082,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6083,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 7.83/5.53 tff(6084,plain,
% 7.83/5.53 (~m_main_v_state1(s72, c_n1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6083, 10, 6080])).
% 7.83/5.53 tff(6085,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6086,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6087,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 7.83/5.53 tff(6088,plain,
% 7.83/5.53 (~node1(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6087, 421, 6084])).
% 7.83/5.53 tff(6089,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6090,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6091,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 7.83/5.53 tff(6092,plain,
% 7.83/5.53 (node18(s71, s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6091, 125, 6071])).
% 7.83/5.53 tff(6093,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6094,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6095,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 7.83/5.53 tff(6096,plain,
% 7.83/5.53 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6095, 760, 6092])).
% 7.83/5.53 tff(6097,plain,
% 7.83/5.53 (m_main_v_turn(s72, c_2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6096, 6064, 6008])).
% 7.83/5.53 tff(6098,plain,
% 7.83/5.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6099,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6100,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 7.83/5.53 tff(6101,plain,
% 7.83/5.53 (~m_main_v_turn(s72, c_1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6100, 156, 6097])).
% 7.83/5.53 tff(6102,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6103,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6104,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 7.83/5.53 tff(6105,plain,
% 7.83/5.53 (~node5(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6104, 776, 6101])).
% 7.83/5.53 tff(6106,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6107,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6108,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 7.83/5.53 tff(6109,plain,
% 7.83/5.53 (~node2(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6108, 787, 6084])).
% 7.83/5.53 tff(6110,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6111,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6112,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 7.83/5.53 tff(6113,plain,
% 7.83/5.53 (~node3(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6112, 798, 6084])).
% 7.83/5.53 tff(6114,plain,
% 7.83/5.53 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6115,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6116,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 7.83/5.53 tff(6117,plain,
% 7.83/5.53 (~m_main_v_state1(s72, c_c1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6116, 539, 6080])).
% 7.83/5.53 tff(6118,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6119,plain,
% 7.83/5.53 (((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2))) <=> (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6120,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))))),
% 7.83/5.53 inference(monotonicity,[status(thm)],[6119])).
% 7.83/5.53 tff(6121,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 7.83/5.53 inference(transitivity,[status(thm)],[6120, 6118])).
% 7.83/5.53 tff(6122,plain,
% 7.83/5.53 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6123,plain,
% 7.83/5.53 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 7.83/5.53 tff(6124,plain,
% 7.83/5.53 (~m_main_v_state2(s71, c_n2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6123, 311, 5965, 6057])).
% 7.83/5.53 tff(6125,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6126,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6127,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 7.83/5.53 tff(6128,plain,
% 7.83/5.53 (~node9(s71)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6127, 88, 6124])).
% 7.83/5.53 tff(6129,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6130,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6131,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 7.83/5.53 tff(6132,plain,
% 7.83/5.53 (~node10(s71)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6131, 249, 6124])).
% 7.83/5.53 tff(6133,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6134,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6135,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 7.83/5.53 tff(6136,plain,
% 7.83/5.53 (~node8(s71)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6135, 271, 6124])).
% 7.83/5.53 tff(6137,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6138,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6139,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 7.83/5.53 tff(6140,plain,
% 7.83/5.53 (node14(s71, s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6139, 46, 6071])).
% 7.83/5.53 tff(6141,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6142,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6143,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 7.83/5.53 tff(6144,plain,
% 7.83/5.53 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | m_main_v_state2(s72, c_c2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6143, 617, 6140])).
% 7.83/5.53 tff(6145,plain,
% 7.83/5.53 (m_main_v_state2(s72, c_c2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6144, 6136, 6008, 6064, 6132, 6128])).
% 7.83/5.53 tff(6146,plain,
% 7.83/5.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6147,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6148,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 7.83/5.53 tff(6149,plain,
% 7.83/5.53 (~m_main_v_state2(s72, c_n2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6148, 697, 6145])).
% 7.83/5.53 tff(6150,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6151,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6152,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 7.83/5.53 tff(6153,plain,
% 7.83/5.53 (~node4(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6152, 388, 6149])).
% 7.83/5.53 tff(6154,plain,
% 7.83/5.53 (succ(s72, s73) <=> succ(s72, s73)),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6155,axiom,(succ(s72, s73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound73')).
% 7.83/5.53 tff(6156,plain,
% 7.83/5.53 (succ(s72, s73)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 7.83/5.53 tff(6157,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6158,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6159,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 7.83/5.53 tff(6160,plain,
% 7.83/5.53 (trans(s72, s73)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6159, 6156, 32])).
% 7.83/5.53 tff(6161,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6162,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6163,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 7.83/5.53 tff(6164,plain,
% 7.83/5.53 (node7(s72, s73)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6163, 206, 6160])).
% 7.83/5.53 tff(6165,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6166,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6167,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 7.83/5.53 tff(6168,plain,
% 7.83/5.53 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6167, 820, 6164])).
% 7.83/5.53 tff(6169,plain,
% 7.83/5.53 (node6(s72, s73)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6168, 6153, 6117, 6113, 6109, 6105, 6088])).
% 7.83/5.53 tff(6170,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6171,plain,
% 7.83/5.53 (((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1)) <=> ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6172,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))))),
% 7.83/5.53 inference(monotonicity,[status(thm)],[6171])).
% 7.83/5.53 tff(6173,plain,
% 7.83/5.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 7.83/5.53 inference(transitivity,[status(thm)],[6172, 6170])).
% 7.83/5.53 tff(6174,plain,
% 7.83/5.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6175,plain,
% 7.83/5.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 7.83/5.53 tff(6176,plain,
% 7.83/5.53 (m_main_v_state1(s73, c_t1)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6175, 856, 6080, 6169])).
% 7.83/5.53 tff(6177,plain,
% 7.83/5.53 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6178,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6179,plain,
% 7.83/5.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 7.83/5.53 tff(6180,plain,
% 7.83/5.53 (~m_main_v_state2(s72, c_t2)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6179, 260, 6145])).
% 7.83/5.53 tff(6181,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6182,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6183,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 7.83/5.53 tff(6184,plain,
% 7.83/5.53 (~node12(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6183, 633, 6180])).
% 7.83/5.53 tff(6185,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6186,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6187,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 7.83/5.53 tff(6188,plain,
% 7.83/5.53 (~node11(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6187, 238, 6084])).
% 7.83/5.53 tff(6189,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6190,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6191,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 7.83/5.53 tff(6192,plain,
% 7.83/5.53 (~node10(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6191, 675, 6117])).
% 7.83/5.53 tff(6193,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6194,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6195,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 7.83/5.53 tff(6196,plain,
% 7.83/5.53 (~node9(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6195, 686, 6084])).
% 7.83/5.53 tff(6197,plain,
% 7.83/5.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6198,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6199,plain,
% 7.83/5.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 7.83/5.53 tff(6200,plain,
% 7.83/5.53 (~node8(s72)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6199, 271, 6149])).
% 7.83/5.53 tff(6201,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6202,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6203,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 7.83/5.53 tff(6204,plain,
% 7.83/5.53 (node14(s72, s73)),
% 7.83/5.53 inference(unit_resolution,[status(thm)],[6203, 46, 6160])).
% 7.83/5.53 tff(6205,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6206,plain,
% 7.83/5.53 (((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2)) <=> (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(rewrite,[status(thm)],[])).
% 7.83/5.53 tff(6207,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))))),
% 7.83/5.53 inference(monotonicity,[status(thm)],[6206])).
% 7.83/5.53 tff(6208,plain,
% 7.83/5.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 7.83/5.53 inference(transitivity,[status(thm)],[6207, 6205])).
% 7.83/5.53 tff(6209,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))),
% 7.83/5.53 inference(quant_inst,[status(thm)],[])).
% 7.83/5.53 tff(6210,plain,
% 7.83/5.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))),
% 7.83/5.53 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 7.83/5.53 tff(6211,plain,
% 7.83/5.54 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6210, 726, 6204])).
% 7.83/5.54 tff(6212,plain,
% 7.83/5.54 (m_main_v_state2(s73, c_n2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6211, 6200, 6145, 6196, 6192, 6188, 6184])).
% 7.83/5.54 tff(6213,plain,
% 7.83/5.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6214,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6215,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 7.83/5.54 tff(6216,plain,
% 7.83/5.54 (~m_main_v_state2(s73, c_t2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6215, 77, 6212])).
% 7.83/5.54 tff(6217,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6218,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6219,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 7.83/5.54 tff(6220,plain,
% 7.83/5.54 (~node15(s73)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6219, 103, 6216])).
% 7.83/5.54 tff(6221,plain,
% 7.83/5.54 (succ(s73, s74) <=> succ(s73, s74)),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6222,axiom,(succ(s73, s74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound74')).
% 7.83/5.54 tff(6223,plain,
% 7.83/5.54 (succ(s73, s74)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 7.83/5.54 tff(6224,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6225,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6226,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 7.83/5.54 tff(6227,plain,
% 7.83/5.54 (trans(s73, s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6226, 6223, 32])).
% 7.83/5.54 tff(6228,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6229,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6230,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 7.83/5.54 tff(6231,plain,
% 7.83/5.54 (node18(s73, s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6230, 125, 6227])).
% 7.83/5.54 tff(6232,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6233,plain,
% 7.83/5.54 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1)) <=> (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6234,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)))),
% 7.83/5.54 inference(monotonicity,[status(thm)],[6233])).
% 7.83/5.54 tff(6235,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 7.83/5.54 inference(transitivity,[status(thm)],[6234, 6232])).
% 7.83/5.54 tff(6236,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6237,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 7.83/5.54 tff(6238,plain,
% 7.83/5.54 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6237, 992, 6231])).
% 7.83/5.54 tff(6239,plain,
% 7.83/5.54 (m_main_v_turn(s74, c_1)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6238, 6220, 6212, 6176])).
% 7.83/5.54 tff(6240,plain,
% 7.83/5.54 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6241,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6242,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 7.83/5.54 tff(6243,plain,
% 7.83/5.54 (~m_main_v_turn(s74, c_2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6242, 156, 6239])).
% 7.83/5.54 tff(6244,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6245,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6246,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 7.83/5.54 tff(6247,plain,
% 7.83/5.54 (~node12(s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6246, 184, 6243])).
% 7.83/5.54 tff(6248,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6249,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6250,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 7.83/5.54 tff(6251,plain,
% 7.83/5.54 (node14(s73, s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6250, 46, 6227])).
% 7.83/5.54 tff(6252,plain,
% 7.83/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6253,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6254,plain,
% 7.83/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2)),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 7.83/5.54 tff(6255,plain,
% 7.83/5.54 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6254, 922, 6251])).
% 7.83/5.54 tff(6256,plain,
% 7.83/5.54 (m_main_v_state2(s74, c_t2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6255, 6176, 6212])).
% 7.83/5.54 tff(6257,plain,
% 7.83/5.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6258,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6259,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 7.83/5.54 tff(6260,plain,
% 7.83/5.54 (~m_main_v_state2(s74, c_n2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6259, 77, 6256])).
% 7.83/5.54 tff(6261,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6262,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6263,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 7.83/5.54 tff(6264,plain,
% 7.83/5.54 (~node8(s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6263, 271, 6260])).
% 7.83/5.54 tff(6265,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6266,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6267,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 7.83/5.54 tff(6268,plain,
% 7.83/5.54 (~node9(s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6267, 88, 6260])).
% 7.83/5.54 tff(6269,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6270,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6271,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 7.83/5.54 tff(6272,plain,
% 7.83/5.54 (~node10(s74)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6271, 249, 6260])).
% 7.83/5.54 tff(6273,plain,
% 7.83/5.54 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6274,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6275,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 7.83/5.54 tff(6276,plain,
% 7.83/5.54 (~m_main_v_state2(s74, c_c2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6275, 260, 6256])).
% 7.83/5.54 tff(6277,plain,
% 7.83/5.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6278,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6279,plain,
% 7.83/5.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 7.83/5.54 tff(6280,plain,
% 7.83/5.54 (~m_main_v_state2(s73, c_c2)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6279, 697, 6212])).
% 7.83/5.54 tff(6281,plain,
% 7.83/5.54 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 7.83/5.54 inference(rewrite,[status(thm)],[])).
% 7.83/5.54 tff(6282,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 7.83/5.54 inference(quant_inst,[status(thm)],[])).
% 7.83/5.54 tff(6283,plain,
% 7.83/5.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 7.83/5.54 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 7.83/5.54 tff(6284,plain,
% 7.83/5.54 (~node3(s73)),
% 7.83/5.54 inference(unit_resolution,[status(thm)],[6283, 399, 6280])).
% 7.83/5.54 tff(6285,plain,
% 7.83/5.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6286,plain,
% 7.92/5.54 (((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1))) <=> (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6287,plain,
% 7.92/5.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))))),
% 7.92/5.54 inference(monotonicity,[status(thm)],[6286])).
% 7.92/5.54 tff(6288,plain,
% 7.92/5.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 7.92/5.54 inference(transitivity,[status(thm)],[6287, 6285])).
% 7.92/5.54 tff(6289,plain,
% 7.92/5.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6290,plain,
% 7.92/5.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 7.92/5.54 tff(6291,plain,
% 7.92/5.54 (~m_main_v_state1(s73, c_n1)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6290, 835, 6084, 6169])).
% 7.92/5.54 tff(6292,plain,
% 7.92/5.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6293,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6294,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 7.92/5.54 tff(6295,plain,
% 7.92/5.54 (~node2(s73)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6294, 787, 6291])).
% 7.92/5.54 tff(6296,plain,
% 7.92/5.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6297,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6298,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 7.92/5.54 tff(6299,plain,
% 7.92/5.54 (~node1(s73)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6298, 195, 6216])).
% 7.92/5.54 tff(6300,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6301,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6302,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 7.92/5.54 tff(6303,plain,
% 7.92/5.54 (node7(s73, s74)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6302, 206, 6227])).
% 7.92/5.54 tff(6304,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6305,plain,
% 7.92/5.54 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1)) <=> ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6306,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))))),
% 7.92/5.54 inference(monotonicity,[status(thm)],[6305])).
% 7.92/5.54 tff(6307,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 7.92/5.54 inference(transitivity,[status(thm)],[6306, 6304])).
% 7.92/5.54 tff(6308,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6309,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 7.92/5.54 tff(6310,plain,
% 7.92/5.54 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6309, 892, 6303])).
% 7.92/5.54 tff(6311,plain,
% 7.92/5.54 (m_main_v_state1(s74, c_c1)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6310, 6299, 6212, 6176, 6295, 6284])).
% 7.92/5.54 tff(6312,plain,
% 7.92/5.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6313,plain,
% 7.92/5.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6314,plain,
% 7.92/5.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 7.92/5.54 tff(6315,plain,
% 7.92/5.54 (~m_main_v_state1(s74, c_n1)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6314, 454, 6311])).
% 7.92/5.54 tff(6316,plain,
% 7.92/5.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6317,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6318,plain,
% 7.92/5.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 7.92/5.54 tff(6319,plain,
% 7.92/5.54 (~node11(s74)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6318, 238, 6315])).
% 7.92/5.54 tff(6320,plain,
% 7.92/5.54 (succ(s74, s75) <=> succ(s74, s75)),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6321,axiom,(succ(s74, s75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound75')).
% 7.92/5.54 tff(6322,plain,
% 7.92/5.54 (succ(s74, s75)),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 7.92/5.54 tff(6323,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6324,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6325,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 7.92/5.54 tff(6326,plain,
% 7.92/5.54 (trans(s74, s75)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6325, 6322, 32])).
% 7.92/5.54 tff(6327,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6328,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6329,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 7.92/5.54 tff(6330,plain,
% 7.92/5.54 (node14(s74, s75)),
% 7.92/5.54 inference(unit_resolution,[status(thm)],[6329, 46, 6326])).
% 7.92/5.54 tff(6331,plain,
% 7.92/5.54 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 7.92/5.54 inference(rewrite,[status(thm)],[])).
% 7.92/5.54 tff(6332,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 7.92/5.54 inference(quant_inst,[status(thm)],[])).
% 7.92/5.54 tff(6333,plain,
% 7.92/5.54 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 7.92/5.54 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 7.92/5.55 tff(6334,plain,
% 7.92/5.55 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6333, 296, 6330])).
% 7.92/5.55 tff(6335,plain,
% 7.92/5.55 (node13(s74, s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6334, 6319, 6276, 6272, 6268, 6264, 6247])).
% 7.92/5.55 tff(6336,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6337,plain,
% 7.92/5.55 (((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2))) <=> (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6338,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))))),
% 7.92/5.55 inference(monotonicity,[status(thm)],[6337])).
% 7.92/5.55 tff(6339,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 7.92/5.55 inference(transitivity,[status(thm)],[6338, 6336])).
% 7.92/5.55 tff(6340,plain,
% 7.92/5.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6341,plain,
% 7.92/5.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 7.92/5.55 tff(6342,plain,
% 7.92/5.55 (~m_main_v_state2(s75, c_n2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6341, 311, 6260, 6335])).
% 7.92/5.55 tff(6343,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6344,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6345,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 7.92/5.55 tff(6346,plain,
% 7.92/5.55 (~node9(s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6345, 88, 6342])).
% 7.92/5.55 tff(6347,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6348,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6349,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 7.92/5.55 tff(6350,plain,
% 7.92/5.55 (~node10(s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6349, 249, 6342])).
% 7.92/5.55 tff(6351,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6352,plain,
% 7.92/5.55 (((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2)) <=> ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6353,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))))),
% 7.92/5.55 inference(monotonicity,[status(thm)],[6352])).
% 7.92/5.55 tff(6354,plain,
% 7.92/5.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 7.92/5.55 inference(transitivity,[status(thm)],[6353, 6351])).
% 7.92/5.55 tff(6355,plain,
% 7.92/5.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6356,plain,
% 7.92/5.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 7.92/5.55 tff(6357,plain,
% 7.92/5.55 (m_main_v_state2(s75, c_t2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6356, 518, 6256, 6335])).
% 7.92/5.55 tff(6358,plain,
% 7.92/5.55 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6359,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6360,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 7.92/5.55 tff(6361,plain,
% 7.92/5.55 (~m_main_v_state1(s74, c_t1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6360, 539, 6311])).
% 7.92/5.55 tff(6362,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6363,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6364,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 7.92/5.55 tff(6365,plain,
% 7.92/5.55 (~node5(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6364, 550, 6361])).
% 7.92/5.55 tff(6366,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6367,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6368,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 7.92/5.55 tff(6369,plain,
% 7.92/5.55 (~node4(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6368, 388, 6260])).
% 7.92/5.55 tff(6370,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6371,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6372,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 7.92/5.55 tff(6373,plain,
% 7.92/5.55 (~node3(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6372, 399, 6276])).
% 7.92/5.55 tff(6374,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6375,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6376,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 7.92/5.55 tff(6377,plain,
% 7.92/5.55 (~node2(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6376, 410, 6260])).
% 7.92/5.55 tff(6378,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6379,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6380,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 7.92/5.55 tff(6381,plain,
% 7.92/5.55 (~node1(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6380, 421, 6315])).
% 7.92/5.55 tff(6382,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6383,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6384,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 7.92/5.55 tff(6385,plain,
% 7.92/5.55 (node7(s74, s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6384, 206, 6326])).
% 7.92/5.55 tff(6386,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6387,plain,
% 7.92/5.55 (((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1)) <=> (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6388,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))))),
% 7.92/5.55 inference(monotonicity,[status(thm)],[6387])).
% 7.92/5.55 tff(6389,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 7.92/5.55 inference(transitivity,[status(thm)],[6388, 6386])).
% 7.92/5.55 tff(6390,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6391,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 7.92/5.55 tff(6392,plain,
% 7.92/5.55 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6391, 584, 6385])).
% 7.92/5.55 tff(6393,plain,
% 7.92/5.55 (m_main_v_state1(s75, c_n1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6392, 6381, 6311, 6377, 6373, 6369, 6365])).
% 7.92/5.55 tff(6394,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6395,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6396,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 7.92/5.55 tff(6397,plain,
% 7.92/5.55 (~node8(s75)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6396, 271, 6342])).
% 7.92/5.55 tff(6398,plain,
% 7.92/5.55 (succ(s75, s76) <=> succ(s75, s76)),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6399,axiom,(succ(s75, s76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound76')).
% 7.92/5.55 tff(6400,plain,
% 7.92/5.55 (succ(s75, s76)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 7.92/5.55 tff(6401,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6402,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6403,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 7.92/5.55 tff(6404,plain,
% 7.92/5.55 (trans(s75, s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6403, 6400, 32])).
% 7.92/5.55 tff(6405,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6406,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6407,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 7.92/5.55 tff(6408,plain,
% 7.92/5.55 (node14(s75, s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6407, 46, 6404])).
% 7.92/5.55 tff(6409,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6410,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6411,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 7.92/5.55 tff(6412,plain,
% 7.92/5.55 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | m_main_v_state2(s76, c_c2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6411, 617, 6408])).
% 7.92/5.55 tff(6413,plain,
% 7.92/5.55 (m_main_v_state2(s76, c_c2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6412, 6397, 6393, 6357, 6350, 6346])).
% 7.92/5.55 tff(6414,plain,
% 7.92/5.55 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6415,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6416,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 7.92/5.55 tff(6417,plain,
% 7.92/5.55 (~m_main_v_state2(s76, c_t2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6416, 260, 6413])).
% 7.92/5.55 tff(6418,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6419,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6420,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 7.92/5.55 tff(6421,plain,
% 7.92/5.55 (~node12(s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6420, 633, 6417])).
% 7.92/5.55 tff(6422,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6423,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6424,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 7.92/5.55 tff(6425,plain,
% 7.92/5.55 (node7(s75, s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6424, 206, 6404])).
% 7.92/5.55 tff(6426,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6427,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6428,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 7.92/5.55 tff(6429,plain,
% 7.92/5.55 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6428, 651, 6425])).
% 7.92/5.55 tff(6430,plain,
% 7.92/5.55 (m_main_v_state1(s76, c_t1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6429, 6357, 6393])).
% 7.92/5.55 tff(6431,plain,
% 7.92/5.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6432,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6433,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 7.92/5.55 tff(6434,plain,
% 7.92/5.55 (~m_main_v_state1(s76, c_n1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6433, 10, 6430])).
% 7.92/5.55 tff(6435,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6436,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6437,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 7.92/5.55 tff(6438,plain,
% 7.92/5.55 (~node11(s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6437, 238, 6434])).
% 7.92/5.55 tff(6439,plain,
% 7.92/5.55 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6440,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6441,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 7.92/5.55 tff(6442,plain,
% 7.92/5.55 (~m_main_v_state1(s76, c_c1)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6441, 539, 6430])).
% 7.92/5.55 tff(6443,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6444,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6445,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 7.92/5.55 tff(6446,plain,
% 7.92/5.55 (~node10(s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6445, 675, 6442])).
% 7.92/5.55 tff(6447,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6448,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6449,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 7.92/5.55 tff(6450,plain,
% 7.92/5.55 (~node9(s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6449, 686, 6434])).
% 7.92/5.55 tff(6451,plain,
% 7.92/5.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6452,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6453,plain,
% 7.92/5.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 7.92/5.55 tff(6454,plain,
% 7.92/5.55 (~m_main_v_state2(s76, c_n2)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6453, 697, 6413])).
% 7.92/5.55 tff(6455,plain,
% 7.92/5.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6456,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6457,plain,
% 7.92/5.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 7.92/5.55 tff(6458,plain,
% 7.92/5.55 (~node8(s76)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6457, 271, 6454])).
% 7.92/5.55 tff(6459,plain,
% 7.92/5.55 (succ(s76, s77) <=> succ(s76, s77)),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6460,axiom,(succ(s76, s77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound77')).
% 7.92/5.55 tff(6461,plain,
% 7.92/5.55 (succ(s76, s77)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 7.92/5.55 tff(6462,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6463,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6464,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 7.92/5.55 tff(6465,plain,
% 7.92/5.55 (trans(s76, s77)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6464, 6461, 32])).
% 7.92/5.55 tff(6466,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6467,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 7.92/5.55 inference(quant_inst,[status(thm)],[])).
% 7.92/5.55 tff(6468,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 7.92/5.55 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 7.92/5.55 tff(6469,plain,
% 7.92/5.55 (node14(s76, s77)),
% 7.92/5.55 inference(unit_resolution,[status(thm)],[6468, 46, 6465])).
% 7.92/5.55 tff(6470,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6471,plain,
% 7.92/5.55 (((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2)) <=> (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(rewrite,[status(thm)],[])).
% 7.92/5.55 tff(6472,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))))),
% 7.92/5.55 inference(monotonicity,[status(thm)],[6471])).
% 7.92/5.55 tff(6473,plain,
% 7.92/5.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 7.92/5.55 inference(transitivity,[status(thm)],[6472, 6470])).
% 7.92/5.55 tff(6474,plain,
% 7.92/5.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6475,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 7.92/5.56 tff(6476,plain,
% 7.92/5.56 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6475, 726, 6469])).
% 7.92/5.56 tff(6477,plain,
% 7.92/5.56 (m_main_v_state2(s77, c_n2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6476, 6458, 6413, 6450, 6446, 6438, 6421])).
% 7.92/5.56 tff(6478,plain,
% 7.92/5.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6479,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6480,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 7.92/5.56 tff(6481,plain,
% 7.92/5.56 (~m_main_v_state2(s77, c_c2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6480, 697, 6477])).
% 7.92/5.56 tff(6482,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6483,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6484,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 7.92/5.56 tff(6485,plain,
% 7.92/5.56 (~node3(s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6484, 399, 6481])).
% 7.92/5.56 tff(6486,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6487,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6488,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 7.92/5.56 tff(6489,plain,
% 7.92/5.56 (~node1(s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6488, 421, 6434])).
% 7.92/5.56 tff(6490,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6491,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6492,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 7.92/5.56 tff(6493,plain,
% 7.92/5.56 (node18(s75, s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6492, 125, 6404])).
% 7.92/5.56 tff(6494,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6495,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6496,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 7.92/5.56 tff(6497,plain,
% 7.92/5.56 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6496, 760, 6493])).
% 7.92/5.56 tff(6498,plain,
% 7.92/5.56 (m_main_v_turn(s76, c_2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6497, 6357, 6393])).
% 7.92/5.56 tff(6499,plain,
% 7.92/5.56 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6500,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6501,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 7.92/5.56 tff(6502,plain,
% 7.92/5.56 (~m_main_v_turn(s76, c_1)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6501, 156, 6498])).
% 7.92/5.56 tff(6503,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6504,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6505,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 7.92/5.56 tff(6506,plain,
% 7.92/5.56 (~node5(s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6505, 776, 6502])).
% 7.92/5.56 tff(6507,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6508,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6509,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 7.92/5.56 tff(6510,plain,
% 7.92/5.56 (~node2(s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6509, 787, 6434])).
% 7.92/5.56 tff(6511,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6512,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6513,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 7.92/5.56 tff(6514,plain,
% 7.92/5.56 (~node3(s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6513, 798, 6434])).
% 7.92/5.56 tff(6515,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6516,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6517,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 7.92/5.56 tff(6518,plain,
% 7.92/5.56 (~node4(s76)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6517, 388, 6454])).
% 7.92/5.56 tff(6519,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6520,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6521,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 7.92/5.56 tff(6522,plain,
% 7.92/5.56 (node7(s76, s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6521, 206, 6465])).
% 7.92/5.56 tff(6523,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6524,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6525,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 7.92/5.56 tff(6526,plain,
% 7.92/5.56 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6525, 820, 6522])).
% 7.92/5.56 tff(6527,plain,
% 7.92/5.56 (node6(s76, s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6526, 6518, 6442, 6514, 6510, 6506, 6489])).
% 7.92/5.56 tff(6528,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6529,plain,
% 7.92/5.56 (((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1))) <=> (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6530,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))))),
% 7.92/5.56 inference(monotonicity,[status(thm)],[6529])).
% 7.92/5.56 tff(6531,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 7.92/5.56 inference(transitivity,[status(thm)],[6530, 6528])).
% 7.92/5.56 tff(6532,plain,
% 7.92/5.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6533,plain,
% 7.92/5.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 7.92/5.56 tff(6534,plain,
% 7.92/5.56 (~m_main_v_state1(s77, c_n1)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6533, 835, 6434, 6527])).
% 7.92/5.56 tff(6535,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6536,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6537,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 7.92/5.56 tff(6538,plain,
% 7.92/5.56 (~node2(s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6537, 787, 6534])).
% 7.92/5.56 tff(6539,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6540,plain,
% 7.92/5.56 (((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1)) <=> ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6541,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))))),
% 7.92/5.56 inference(monotonicity,[status(thm)],[6540])).
% 7.92/5.56 tff(6542,plain,
% 7.92/5.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 7.92/5.56 inference(transitivity,[status(thm)],[6541, 6539])).
% 7.92/5.56 tff(6543,plain,
% 7.92/5.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6544,plain,
% 7.92/5.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 7.92/5.56 tff(6545,plain,
% 7.92/5.56 (m_main_v_state1(s77, c_t1)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6544, 856, 6430, 6527])).
% 7.92/5.56 tff(6546,plain,
% 7.92/5.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6547,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6548,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 7.92/5.56 tff(6549,plain,
% 7.92/5.56 (~m_main_v_state2(s77, c_t2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6548, 77, 6477])).
% 7.92/5.56 tff(6550,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6551,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6552,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 7.92/5.56 tff(6553,plain,
% 7.92/5.56 (~node1(s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6552, 195, 6549])).
% 7.92/5.56 tff(6554,plain,
% 7.92/5.56 (succ(s77, s78) <=> succ(s77, s78)),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6555,axiom,(succ(s77, s78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound78')).
% 7.92/5.56 tff(6556,plain,
% 7.92/5.56 (succ(s77, s78)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 7.92/5.56 tff(6557,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6558,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6559,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 7.92/5.56 tff(6560,plain,
% 7.92/5.56 (trans(s77, s78)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6559, 6556, 32])).
% 7.92/5.56 tff(6561,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6562,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6563,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 7.92/5.56 tff(6564,plain,
% 7.92/5.56 (node7(s77, s78)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6563, 206, 6560])).
% 7.92/5.56 tff(6565,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6566,plain,
% 7.92/5.56 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1)) <=> ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6567,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))))),
% 7.92/5.56 inference(monotonicity,[status(thm)],[6566])).
% 7.92/5.56 tff(6568,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 7.92/5.56 inference(transitivity,[status(thm)],[6567, 6565])).
% 7.92/5.56 tff(6569,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6570,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6569, 6568])).
% 7.92/5.56 tff(6571,plain,
% 7.92/5.56 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6570, 892, 6564])).
% 7.92/5.56 tff(6572,plain,
% 7.92/5.56 (m_main_v_state1(s78, c_c1)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6571, 6553, 6477, 6545, 6538, 6485])).
% 7.92/5.56 tff(6573,plain,
% 7.92/5.56 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6574,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6575,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 7.92/5.56 tff(6576,plain,
% 7.92/5.56 (~m_main_v_state1(s78, c_t1)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6575, 539, 6572])).
% 7.92/5.56 tff(6577,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6578,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6579,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 7.92/5.56 tff(6580,plain,
% 7.92/5.56 (~node5(s78)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6579, 550, 6576])).
% 7.92/5.56 tff(6581,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6582,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6583,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 7.92/5.56 tff(6584,plain,
% 7.92/5.56 (node14(s77, s78)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6583, 46, 6560])).
% 7.92/5.56 tff(6585,plain,
% 7.92/5.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6586,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6587,plain,
% 7.92/5.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2)),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 7.92/5.56 tff(6588,plain,
% 7.92/5.56 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6587, 922, 6584])).
% 7.92/5.56 tff(6589,plain,
% 7.92/5.56 (m_main_v_state2(s78, c_t2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6588, 6545, 6477])).
% 7.92/5.56 tff(6590,plain,
% 7.92/5.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6591,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.56 tff(6592,plain,
% 7.92/5.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2))),
% 7.92/5.56 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 7.92/5.56 tff(6593,plain,
% 7.92/5.56 (~m_main_v_state2(s78, c_n2)),
% 7.92/5.56 inference(unit_resolution,[status(thm)],[6592, 77, 6589])).
% 7.92/5.56 tff(6594,plain,
% 7.92/5.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 7.92/5.56 inference(rewrite,[status(thm)],[])).
% 7.92/5.56 tff(6595,plain,
% 7.92/5.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 7.92/5.56 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6596,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 7.92/5.57 tff(6597,plain,
% 7.92/5.57 (~node4(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6596, 388, 6593])).
% 7.92/5.57 tff(6598,plain,
% 7.92/5.57 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6599,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6600,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 7.92/5.57 tff(6601,plain,
% 7.92/5.57 (~m_main_v_state2(s78, c_c2)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6600, 260, 6589])).
% 7.92/5.57 tff(6602,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6603,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6604,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 7.92/5.57 tff(6605,plain,
% 7.92/5.57 (~node3(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6604, 399, 6601])).
% 7.92/5.57 tff(6606,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6607,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6608,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 7.92/5.57 tff(6609,plain,
% 7.92/5.57 (~node2(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6608, 410, 6593])).
% 7.92/5.57 tff(6610,plain,
% 7.92/5.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6611,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6612,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 7.92/5.57 tff(6613,plain,
% 7.92/5.57 (~m_main_v_state1(s78, c_n1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6612, 454, 6572])).
% 7.92/5.57 tff(6614,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6615,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6616,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 7.92/5.57 tff(6617,plain,
% 7.92/5.57 (~node1(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6616, 421, 6613])).
% 7.92/5.57 tff(6618,plain,
% 7.92/5.57 (succ(s78, s79) <=> succ(s78, s79)),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6619,axiom,(succ(s78, s79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound79')).
% 7.92/5.57 tff(6620,plain,
% 7.92/5.57 (succ(s78, s79)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 7.92/5.57 tff(6621,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6622,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6623,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 7.92/5.57 tff(6624,plain,
% 7.92/5.57 (trans(s78, s79)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6623, 6620, 32])).
% 7.92/5.57 tff(6625,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6626,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6627,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 7.92/5.57 tff(6628,plain,
% 7.92/5.57 (node7(s78, s79)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6627, 206, 6624])).
% 7.92/5.57 tff(6629,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6630,plain,
% 7.92/5.57 (((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1)) <=> (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6631,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))))),
% 7.92/5.57 inference(monotonicity,[status(thm)],[6630])).
% 7.92/5.57 tff(6632,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 7.92/5.57 inference(transitivity,[status(thm)],[6631, 6629])).
% 7.92/5.57 tff(6633,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6634,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 7.92/5.57 tff(6635,plain,
% 7.92/5.57 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6634, 584, 6628])).
% 7.92/5.57 tff(6636,plain,
% 7.92/5.57 (m_main_v_state1(s79, c_n1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6635, 6617, 6572, 6609, 6605, 6597, 6580])).
% 7.92/5.57 tff(6637,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6638,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6639,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 7.92/5.57 tff(6640,plain,
% 7.92/5.57 (~node15(s77)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6639, 103, 6549])).
% 7.92/5.57 tff(6641,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6642,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6643,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 7.92/5.57 tff(6644,plain,
% 7.92/5.57 (node18(s77, s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6643, 125, 6560])).
% 7.92/5.57 tff(6645,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6646,plain,
% 7.92/5.57 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1)) <=> (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6647,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)))),
% 7.92/5.57 inference(monotonicity,[status(thm)],[6646])).
% 7.92/5.57 tff(6648,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 7.92/5.57 inference(transitivity,[status(thm)],[6647, 6645])).
% 7.92/5.57 tff(6649,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6650,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 7.92/5.57 tff(6651,plain,
% 7.92/5.57 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6650, 992, 6644])).
% 7.92/5.57 tff(6652,plain,
% 7.92/5.57 (m_main_v_turn(s78, c_1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6651, 6640, 6477, 6545])).
% 7.92/5.57 tff(6653,plain,
% 7.92/5.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6654,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6655,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 7.92/5.57 tff(6656,plain,
% 7.92/5.57 (~m_main_v_turn(s78, c_2)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6655, 156, 6652])).
% 7.92/5.57 tff(6657,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6658,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6659,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 7.92/5.57 tff(6660,plain,
% 7.92/5.57 (~node12(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6659, 184, 6656])).
% 7.92/5.57 tff(6661,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6662,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6663,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 7.92/5.57 tff(6664,plain,
% 7.92/5.57 (~node8(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6663, 271, 6593])).
% 7.92/5.57 tff(6665,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6666,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6667,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 7.92/5.57 tff(6668,plain,
% 7.92/5.57 (~node9(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6667, 88, 6593])).
% 7.92/5.57 tff(6669,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6670,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6671,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 7.92/5.57 tff(6672,plain,
% 7.92/5.57 (~node10(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6671, 249, 6593])).
% 7.92/5.57 tff(6673,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6674,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6675,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 7.92/5.57 tff(6676,plain,
% 7.92/5.57 (~node11(s78)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6675, 238, 6613])).
% 7.92/5.57 tff(6677,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6678,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6679,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 7.92/5.57 tff(6680,plain,
% 7.92/5.57 (node14(s78, s79)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6679, 46, 6624])).
% 7.92/5.57 tff(6681,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6682,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6683,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 7.92/5.57 tff(6684,plain,
% 7.92/5.57 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6683, 296, 6680])).
% 7.92/5.57 tff(6685,plain,
% 7.92/5.57 (node13(s78, s79)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6684, 6676, 6601, 6672, 6668, 6664, 6660])).
% 7.92/5.57 tff(6686,plain,
% 7.92/5.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6687,plain,
% 7.92/5.57 (((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2)) <=> ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6688,plain,
% 7.92/5.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))))),
% 7.92/5.57 inference(monotonicity,[status(thm)],[6687])).
% 7.92/5.57 tff(6689,plain,
% 7.92/5.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 7.92/5.57 inference(transitivity,[status(thm)],[6688, 6686])).
% 7.92/5.57 tff(6690,plain,
% 7.92/5.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6691,plain,
% 7.92/5.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 7.92/5.57 tff(6692,plain,
% 7.92/5.57 (m_main_v_state2(s79, c_t2)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6691, 518, 6589, 6685])).
% 7.92/5.57 tff(6693,plain,
% 7.92/5.57 (succ(s79, s80) <=> succ(s79, s80)),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6694,axiom,(succ(s79, s80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound80')).
% 7.92/5.57 tff(6695,plain,
% 7.92/5.57 (succ(s79, s80)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 7.92/5.57 tff(6696,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6697,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6698,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 7.92/5.57 tff(6699,plain,
% 7.92/5.57 (trans(s79, s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6698, 6695, 32])).
% 7.92/5.57 tff(6700,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6701,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6702,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 7.92/5.57 tff(6703,plain,
% 7.92/5.57 (node7(s79, s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6702, 206, 6699])).
% 7.92/5.57 tff(6704,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6705,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6706,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 7.92/5.57 tff(6707,plain,
% 7.92/5.57 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6706, 651, 6703])).
% 7.92/5.57 tff(6708,plain,
% 7.92/5.57 (m_main_v_state1(s80, c_t1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6707, 6692, 6636])).
% 7.92/5.57 tff(6709,plain,
% 7.92/5.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6710,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6711,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 7.92/5.57 tff(6712,plain,
% 7.92/5.57 (~m_main_v_state1(s80, c_n1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6711, 10, 6708])).
% 7.92/5.57 tff(6713,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6714,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6715,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 7.92/5.57 tff(6716,plain,
% 7.92/5.57 (~node1(s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6715, 421, 6712])).
% 7.92/5.57 tff(6717,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6718,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6719,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 7.92/5.57 tff(6720,plain,
% 7.92/5.57 (node18(s79, s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6719, 125, 6699])).
% 7.92/5.57 tff(6721,plain,
% 7.92/5.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6722,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6723,plain,
% 7.92/5.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 7.92/5.57 tff(6724,plain,
% 7.92/5.57 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6723, 760, 6720])).
% 7.92/5.57 tff(6725,plain,
% 7.92/5.57 (m_main_v_turn(s80, c_2)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6724, 6692, 6636])).
% 7.92/5.57 tff(6726,plain,
% 7.92/5.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6727,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6728,plain,
% 7.92/5.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 7.92/5.57 tff(6729,plain,
% 7.92/5.57 (~m_main_v_turn(s80, c_1)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6728, 156, 6725])).
% 7.92/5.57 tff(6730,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6731,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6732,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 7.92/5.57 tff(6733,plain,
% 7.92/5.57 (~node5(s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6732, 776, 6729])).
% 7.92/5.57 tff(6734,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6735,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6736,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 7.92/5.57 tff(6737,plain,
% 7.92/5.57 (~node2(s80)),
% 7.92/5.57 inference(unit_resolution,[status(thm)],[6736, 787, 6712])).
% 7.92/5.57 tff(6738,plain,
% 7.92/5.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 7.92/5.57 inference(rewrite,[status(thm)],[])).
% 7.92/5.57 tff(6739,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 7.92/5.57 inference(quant_inst,[status(thm)],[])).
% 7.92/5.57 tff(6740,plain,
% 7.92/5.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 7.92/5.57 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 7.92/5.58 tff(6741,plain,
% 7.92/5.58 (~node3(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6740, 798, 6712])).
% 7.92/5.58 tff(6742,plain,
% 7.92/5.58 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6743,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6744,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 7.92/5.58 tff(6745,plain,
% 7.92/5.58 (~m_main_v_state1(s80, c_c1)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6744, 539, 6708])).
% 7.92/5.58 tff(6746,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6747,plain,
% 7.92/5.58 (((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2))) <=> (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6748,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))))),
% 7.92/5.58 inference(monotonicity,[status(thm)],[6747])).
% 7.92/5.58 tff(6749,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 7.92/5.58 inference(transitivity,[status(thm)],[6748, 6746])).
% 7.92/5.58 tff(6750,plain,
% 7.92/5.58 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6751,plain,
% 7.92/5.58 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 7.92/5.58 tff(6752,plain,
% 7.92/5.58 (~m_main_v_state2(s79, c_n2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6751, 311, 6593, 6685])).
% 7.92/5.58 tff(6753,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6754,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6755,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 7.92/5.58 tff(6756,plain,
% 7.92/5.58 (~node9(s79)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6755, 88, 6752])).
% 7.92/5.58 tff(6757,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6758,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6759,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 7.92/5.58 tff(6760,plain,
% 7.92/5.58 (~node10(s79)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6759, 249, 6752])).
% 7.92/5.58 tff(6761,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6762,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6763,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 7.92/5.58 tff(6764,plain,
% 7.92/5.58 (~node8(s79)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6763, 271, 6752])).
% 7.92/5.58 tff(6765,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6766,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6767,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 7.92/5.58 tff(6768,plain,
% 7.92/5.58 (node14(s79, s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6767, 46, 6699])).
% 7.92/5.58 tff(6769,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6770,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6771,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 7.92/5.58 tff(6772,plain,
% 7.92/5.58 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | m_main_v_state2(s80, c_c2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6771, 617, 6768])).
% 7.92/5.58 tff(6773,plain,
% 7.92/5.58 (m_main_v_state2(s80, c_c2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6772, 6764, 6636, 6692, 6760, 6756])).
% 7.92/5.58 tff(6774,plain,
% 7.92/5.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6775,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6776,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 7.92/5.58 tff(6777,plain,
% 7.92/5.58 (~m_main_v_state2(s80, c_n2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6776, 697, 6773])).
% 7.92/5.58 tff(6778,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6779,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6780,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 7.92/5.58 tff(6781,plain,
% 7.92/5.58 (~node4(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6780, 388, 6777])).
% 7.92/5.58 tff(6782,plain,
% 7.92/5.58 (succ(s80, s81) <=> succ(s80, s81)),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6783,axiom,(succ(s80, s81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound81')).
% 7.92/5.58 tff(6784,plain,
% 7.92/5.58 (succ(s80, s81)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 7.92/5.58 tff(6785,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6786,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6787,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 7.92/5.58 tff(6788,plain,
% 7.92/5.58 (trans(s80, s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6787, 6784, 32])).
% 7.92/5.58 tff(6789,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6790,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6791,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 7.92/5.58 tff(6792,plain,
% 7.92/5.58 (node7(s80, s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6791, 206, 6788])).
% 7.92/5.58 tff(6793,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6794,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6795,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 7.92/5.58 tff(6796,plain,
% 7.92/5.58 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6795, 820, 6792])).
% 7.92/5.58 tff(6797,plain,
% 7.92/5.58 (node6(s80, s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6796, 6781, 6745, 6741, 6737, 6733, 6716])).
% 7.92/5.58 tff(6798,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6799,plain,
% 7.92/5.58 (((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1)) <=> ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6800,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))))),
% 7.92/5.58 inference(monotonicity,[status(thm)],[6799])).
% 7.92/5.58 tff(6801,plain,
% 7.92/5.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 7.92/5.58 inference(transitivity,[status(thm)],[6800, 6798])).
% 7.92/5.58 tff(6802,plain,
% 7.92/5.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6803,plain,
% 7.92/5.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 7.92/5.58 tff(6804,plain,
% 7.92/5.58 (m_main_v_state1(s81, c_t1)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6803, 856, 6708, 6797])).
% 7.92/5.58 tff(6805,plain,
% 7.92/5.58 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6806,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6807,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 7.92/5.58 tff(6808,plain,
% 7.92/5.58 (~m_main_v_state2(s80, c_t2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6807, 260, 6773])).
% 7.92/5.58 tff(6809,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6810,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6811,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 7.92/5.58 tff(6812,plain,
% 7.92/5.58 (~node12(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6811, 633, 6808])).
% 7.92/5.58 tff(6813,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6814,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6815,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 7.92/5.58 tff(6816,plain,
% 7.92/5.58 (~node11(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6815, 238, 6712])).
% 7.92/5.58 tff(6817,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6818,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6819,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 7.92/5.58 tff(6820,plain,
% 7.92/5.58 (~node10(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6819, 675, 6745])).
% 7.92/5.58 tff(6821,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6822,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6823,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 7.92/5.58 tff(6824,plain,
% 7.92/5.58 (~node9(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6823, 686, 6712])).
% 7.92/5.58 tff(6825,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6826,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6827,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 7.92/5.58 tff(6828,plain,
% 7.92/5.58 (~node8(s80)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6827, 271, 6777])).
% 7.92/5.58 tff(6829,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6830,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6831,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 7.92/5.58 tff(6832,plain,
% 7.92/5.58 (node14(s80, s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6831, 46, 6788])).
% 7.92/5.58 tff(6833,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6834,plain,
% 7.92/5.58 (((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2)) <=> (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6835,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))))),
% 7.92/5.58 inference(monotonicity,[status(thm)],[6834])).
% 7.92/5.58 tff(6836,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 7.92/5.58 inference(transitivity,[status(thm)],[6835, 6833])).
% 7.92/5.58 tff(6837,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6838,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 7.92/5.58 tff(6839,plain,
% 7.92/5.58 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6838, 726, 6832])).
% 7.92/5.58 tff(6840,plain,
% 7.92/5.58 (m_main_v_state2(s81, c_n2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6839, 6828, 6773, 6824, 6820, 6816, 6812])).
% 7.92/5.58 tff(6841,plain,
% 7.92/5.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6842,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6843,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 7.92/5.58 tff(6844,plain,
% 7.92/5.58 (~m_main_v_state2(s81, c_t2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6843, 77, 6840])).
% 7.92/5.58 tff(6845,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6846,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6847,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 7.92/5.58 tff(6848,plain,
% 7.92/5.58 (~node15(s81)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6847, 103, 6844])).
% 7.92/5.58 tff(6849,plain,
% 7.92/5.58 (succ(s81, s82) <=> succ(s81, s82)),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6850,axiom,(succ(s81, s82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound82')).
% 7.92/5.58 tff(6851,plain,
% 7.92/5.58 (succ(s81, s82)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 7.92/5.58 tff(6852,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6853,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6854,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 7.92/5.58 tff(6855,plain,
% 7.92/5.58 (trans(s81, s82)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6854, 6851, 32])).
% 7.92/5.58 tff(6856,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6857,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6858,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 7.92/5.58 tff(6859,plain,
% 7.92/5.58 (node18(s81, s82)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6858, 125, 6855])).
% 7.92/5.58 tff(6860,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6861,plain,
% 7.92/5.58 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1)) <=> (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6862,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)))),
% 7.92/5.58 inference(monotonicity,[status(thm)],[6861])).
% 7.92/5.58 tff(6863,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 7.92/5.58 inference(transitivity,[status(thm)],[6862, 6860])).
% 7.92/5.58 tff(6864,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6865,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 7.92/5.58 tff(6866,plain,
% 7.92/5.58 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6865, 992, 6859])).
% 7.92/5.58 tff(6867,plain,
% 7.92/5.58 (m_main_v_turn(s82, c_1)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6866, 6848, 6840, 6804])).
% 7.92/5.58 tff(6868,plain,
% 7.92/5.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6869,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6870,plain,
% 7.92/5.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 7.92/5.58 tff(6871,plain,
% 7.92/5.58 (~m_main_v_turn(s82, c_2)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6870, 156, 6867])).
% 7.92/5.58 tff(6872,plain,
% 7.92/5.58 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6873,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6874,plain,
% 7.92/5.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 7.92/5.58 tff(6875,plain,
% 7.92/5.58 (~node12(s82)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6874, 184, 6871])).
% 7.92/5.58 tff(6876,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82))),
% 7.92/5.58 inference(rewrite,[status(thm)],[])).
% 7.92/5.58 tff(6877,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 7.92/5.58 inference(quant_inst,[status(thm)],[])).
% 7.92/5.58 tff(6878,plain,
% 7.92/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 7.92/5.58 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 7.92/5.58 tff(6879,plain,
% 7.92/5.58 (node14(s81, s82)),
% 7.92/5.58 inference(unit_resolution,[status(thm)],[6878, 46, 6855])).
% 7.92/5.58 tff(6880,plain,
% 7.92/5.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6881,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6882,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2)),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 7.92/5.59 tff(6883,plain,
% 7.92/5.59 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6882, 922, 6879])).
% 7.92/5.59 tff(6884,plain,
% 7.92/5.59 (m_main_v_state2(s82, c_t2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6883, 6804, 6840])).
% 7.92/5.59 tff(6885,plain,
% 7.92/5.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6886,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6887,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 7.92/5.59 tff(6888,plain,
% 7.92/5.59 (~m_main_v_state2(s82, c_n2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6887, 77, 6884])).
% 7.92/5.59 tff(6889,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6890,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6891,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 7.92/5.59 tff(6892,plain,
% 7.92/5.59 (~node8(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6891, 271, 6888])).
% 7.92/5.59 tff(6893,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6894,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6895,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 7.92/5.59 tff(6896,plain,
% 7.92/5.59 (~node9(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6895, 88, 6888])).
% 7.92/5.59 tff(6897,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6898,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6899,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 7.92/5.59 tff(6900,plain,
% 7.92/5.59 (~node10(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6899, 249, 6888])).
% 7.92/5.59 tff(6901,plain,
% 7.92/5.59 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6902,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6903,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 7.92/5.59 tff(6904,plain,
% 7.92/5.59 (~m_main_v_state2(s82, c_c2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6903, 260, 6884])).
% 7.92/5.59 tff(6905,plain,
% 7.92/5.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6906,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6907,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 7.92/5.59 tff(6908,plain,
% 7.92/5.59 (~m_main_v_state2(s81, c_c2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6907, 697, 6840])).
% 7.92/5.59 tff(6909,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6910,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6911,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 7.92/5.59 tff(6912,plain,
% 7.92/5.59 (~node3(s81)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6911, 399, 6908])).
% 7.92/5.59 tff(6913,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6914,plain,
% 7.92/5.59 (((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1))) <=> (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6915,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))))),
% 7.92/5.59 inference(monotonicity,[status(thm)],[6914])).
% 7.92/5.59 tff(6916,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 7.92/5.59 inference(transitivity,[status(thm)],[6915, 6913])).
% 7.92/5.59 tff(6917,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6918,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 7.92/5.59 tff(6919,plain,
% 7.92/5.59 (~m_main_v_state1(s81, c_n1)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6918, 835, 6712, 6797])).
% 7.92/5.59 tff(6920,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6921,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6922,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 7.92/5.59 tff(6923,plain,
% 7.92/5.59 (~node2(s81)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6922, 787, 6919])).
% 7.92/5.59 tff(6924,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6925,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6926,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 7.92/5.59 tff(6927,plain,
% 7.92/5.59 (~node1(s81)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6926, 195, 6844])).
% 7.92/5.59 tff(6928,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6929,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6930,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 7.92/5.59 tff(6931,plain,
% 7.92/5.59 (node7(s81, s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6930, 206, 6855])).
% 7.92/5.59 tff(6932,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6933,plain,
% 7.92/5.59 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1)) <=> ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6934,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))))),
% 7.92/5.59 inference(monotonicity,[status(thm)],[6933])).
% 7.92/5.59 tff(6935,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 7.92/5.59 inference(transitivity,[status(thm)],[6934, 6932])).
% 7.92/5.59 tff(6936,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6937,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 7.92/5.59 tff(6938,plain,
% 7.92/5.59 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6937, 892, 6931])).
% 7.92/5.59 tff(6939,plain,
% 7.92/5.59 (m_main_v_state1(s82, c_c1)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6938, 6927, 6840, 6804, 6923, 6912])).
% 7.92/5.59 tff(6940,plain,
% 7.92/5.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6941,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6942,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 7.92/5.59 tff(6943,plain,
% 7.92/5.59 (~m_main_v_state1(s82, c_n1)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6942, 454, 6939])).
% 7.92/5.59 tff(6944,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6945,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6946,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 7.92/5.59 tff(6947,plain,
% 7.92/5.59 (~node11(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6946, 238, 6943])).
% 7.92/5.59 tff(6948,plain,
% 7.92/5.59 (succ(s82, s83) <=> succ(s82, s83)),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6949,axiom,(succ(s82, s83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound83')).
% 7.92/5.59 tff(6950,plain,
% 7.92/5.59 (succ(s82, s83)),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 7.92/5.59 tff(6951,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6952,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6953,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 7.92/5.59 tff(6954,plain,
% 7.92/5.59 (trans(s82, s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6953, 6950, 32])).
% 7.92/5.59 tff(6955,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6956,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6957,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 7.92/5.59 tff(6958,plain,
% 7.92/5.59 (node14(s82, s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6957, 46, 6954])).
% 7.92/5.59 tff(6959,plain,
% 7.92/5.59 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6960,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6961,plain,
% 7.92/5.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 7.92/5.59 tff(6962,plain,
% 7.92/5.59 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6961, 296, 6958])).
% 7.92/5.59 tff(6963,plain,
% 7.92/5.59 (node13(s82, s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6962, 6947, 6904, 6900, 6896, 6892, 6875])).
% 7.92/5.59 tff(6964,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6965,plain,
% 7.92/5.59 (((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2))) <=> (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6966,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))))),
% 7.92/5.59 inference(monotonicity,[status(thm)],[6965])).
% 7.92/5.59 tff(6967,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 7.92/5.59 inference(transitivity,[status(thm)],[6966, 6964])).
% 7.92/5.59 tff(6968,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6969,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 7.92/5.59 tff(6970,plain,
% 7.92/5.59 (~m_main_v_state2(s83, c_n2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6969, 311, 6888, 6963])).
% 7.92/5.59 tff(6971,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6972,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6973,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 7.92/5.59 tff(6974,plain,
% 7.92/5.59 (~node9(s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6973, 88, 6970])).
% 7.92/5.59 tff(6975,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6976,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6977,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 7.92/5.59 tff(6978,plain,
% 7.92/5.59 (~node10(s83)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6977, 249, 6970])).
% 7.92/5.59 tff(6979,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6980,plain,
% 7.92/5.59 (((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2)) <=> ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6981,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))))),
% 7.92/5.59 inference(monotonicity,[status(thm)],[6980])).
% 7.92/5.59 tff(6982,plain,
% 7.92/5.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 7.92/5.59 inference(transitivity,[status(thm)],[6981, 6979])).
% 7.92/5.59 tff(6983,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6984,plain,
% 7.92/5.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 7.92/5.59 tff(6985,plain,
% 7.92/5.59 (m_main_v_state2(s83, c_t2)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6984, 518, 6884, 6963])).
% 7.92/5.59 tff(6986,plain,
% 7.92/5.59 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6987,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6988,plain,
% 7.92/5.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 7.92/5.59 tff(6989,plain,
% 7.92/5.59 (~m_main_v_state1(s82, c_t1)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6988, 539, 6939])).
% 7.92/5.59 tff(6990,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6991,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6992,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 7.92/5.59 tff(6993,plain,
% 7.92/5.59 (~node5(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6992, 550, 6989])).
% 7.92/5.59 tff(6994,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6995,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(6996,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 7.92/5.59 tff(6997,plain,
% 7.92/5.59 (~node4(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[6996, 388, 6888])).
% 7.92/5.59 tff(6998,plain,
% 7.92/5.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 7.92/5.59 inference(rewrite,[status(thm)],[])).
% 7.92/5.59 tff(6999,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 7.92/5.59 inference(quant_inst,[status(thm)],[])).
% 7.92/5.59 tff(7000,plain,
% 7.92/5.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 7.92/5.59 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 7.92/5.59 tff(7001,plain,
% 7.92/5.59 (~node3(s82)),
% 7.92/5.59 inference(unit_resolution,[status(thm)],[7000, 399, 6904])).
% 7.92/5.60 tff(7002,plain,
% 7.92/5.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 7.92/5.60 inference(rewrite,[status(thm)],[])).
% 7.92/5.60 tff(7003,plain,
% 7.92/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 7.92/5.60 inference(quant_inst,[status(thm)],[])).
% 7.92/5.60 tff(7004,plain,
% 7.92/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 7.92/5.60 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 7.92/5.60 tff(7005,plain,
% 7.92/5.60 (~node2(s82)),
% 7.92/5.60 inference(unit_resolution,[status(thm)],[7004, 410, 6888])).
% 7.92/5.60 tff(7006,plain,
% 7.92/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 7.92/5.60 inference(rewrite,[status(thm)],[])).
% 7.92/5.60 tff(7007,plain,
% 7.92/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 7.92/5.60 inference(quant_inst,[status(thm)],[])).
% 7.92/5.60 tff(7008,plain,
% 7.92/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 7.92/5.60 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 7.92/5.60 tff(7009,plain,
% 7.92/5.60 (~node1(s82)),
% 7.92/5.60 inference(unit_resolution,[status(thm)],[7008, 421, 6943])).
% 7.92/5.60 tff(7010,plain,
% 7.92/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83))),
% 7.92/5.60 inference(rewrite,[status(thm)],[])).
% 7.92/5.60 tff(7011,plain,
% 7.92/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 7.92/5.60 inference(quant_inst,[status(thm)],[])).
% 7.92/5.60 tff(7012,plain,
% 7.92/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 7.92/5.60 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 7.92/5.60 tff(7013,plain,
% 7.92/5.60 (node7(s82, s83)),
% 7.92/5.60 inference(unit_resolution,[status(thm)],[7012, 206, 6954])).
% 7.92/5.60 tff(7014,plain,
% 7.92/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 7.92/5.60 inference(rewrite,[status(thm)],[])).
% 7.92/5.60 tff(7015,plain,
% 7.92/5.60 (((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1)) <=> (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 7.92/5.60 inference(rewrite,[status(thm)],[])).
% 7.92/5.60 tff(7016,plain,
% 7.92/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))))),
% 7.92/5.60 inference(monotonicity,[status(thm)],[7015])).
% 7.92/5.60 tff(7017,plain,
% 7.92/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 7.97/5.60 inference(transitivity,[status(thm)],[7016, 7014])).
% 7.97/5.60 tff(7018,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7019,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 7.97/5.60 tff(7020,plain,
% 7.97/5.60 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7019, 584, 7013])).
% 7.97/5.60 tff(7021,plain,
% 7.97/5.60 (m_main_v_state1(s83, c_n1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7020, 7009, 6939, 7005, 7001, 6997, 6993])).
% 7.97/5.60 tff(7022,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7023,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7024,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 7.97/5.60 tff(7025,plain,
% 7.97/5.60 (~node8(s83)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7024, 271, 6970])).
% 7.97/5.60 tff(7026,plain,
% 7.97/5.60 (succ(s83, s84) <=> succ(s83, s84)),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7027,axiom,(succ(s83, s84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound84')).
% 7.97/5.60 tff(7028,plain,
% 7.97/5.60 (succ(s83, s84)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 7.97/5.60 tff(7029,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7030,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7031,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 7.97/5.60 tff(7032,plain,
% 7.97/5.60 (trans(s83, s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7031, 7028, 32])).
% 7.97/5.60 tff(7033,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7034,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7035,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 7.97/5.60 tff(7036,plain,
% 7.97/5.60 (node14(s83, s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7035, 46, 7032])).
% 7.97/5.60 tff(7037,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7038,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7039,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 7.97/5.60 tff(7040,plain,
% 7.97/5.60 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | m_main_v_state2(s84, c_c2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7039, 617, 7036])).
% 7.97/5.60 tff(7041,plain,
% 7.97/5.60 (m_main_v_state2(s84, c_c2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7040, 7025, 7021, 6985, 6978, 6974])).
% 7.97/5.60 tff(7042,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7043,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7044,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 7.97/5.60 tff(7045,plain,
% 7.97/5.60 (~m_main_v_state2(s84, c_t2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7044, 260, 7041])).
% 7.97/5.60 tff(7046,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7047,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7048,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 7.97/5.60 tff(7049,plain,
% 7.97/5.60 (~node12(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7048, 633, 7045])).
% 7.97/5.60 tff(7050,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7051,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7052,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 7.97/5.60 tff(7053,plain,
% 7.97/5.60 (node7(s83, s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7052, 206, 7032])).
% 7.97/5.60 tff(7054,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7055,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7056,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 7.97/5.60 tff(7057,plain,
% 7.97/5.60 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7056, 651, 7053])).
% 7.97/5.60 tff(7058,plain,
% 7.97/5.60 (m_main_v_state1(s84, c_t1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7057, 6985, 7021])).
% 7.97/5.60 tff(7059,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7060,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7061,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 7.97/5.60 tff(7062,plain,
% 7.97/5.60 (~m_main_v_state1(s84, c_n1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7061, 10, 7058])).
% 7.97/5.60 tff(7063,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7064,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7065,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 7.97/5.60 tff(7066,plain,
% 7.97/5.60 (~node11(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7065, 238, 7062])).
% 7.97/5.60 tff(7067,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7068,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7069,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 7.97/5.60 tff(7070,plain,
% 7.97/5.60 (~m_main_v_state1(s84, c_c1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7069, 539, 7058])).
% 7.97/5.60 tff(7071,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7072,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7073,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 7.97/5.60 tff(7074,plain,
% 7.97/5.60 (~node10(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7073, 675, 7070])).
% 7.97/5.60 tff(7075,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7076,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7077,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 7.97/5.60 tff(7078,plain,
% 7.97/5.60 (~node9(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7077, 686, 7062])).
% 7.97/5.60 tff(7079,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7080,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7081,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 7.97/5.60 tff(7082,plain,
% 7.97/5.60 (~m_main_v_state2(s84, c_n2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7081, 697, 7041])).
% 7.97/5.60 tff(7083,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7084,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7085,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 7.97/5.60 tff(7086,plain,
% 7.97/5.60 (~node8(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7085, 271, 7082])).
% 7.97/5.60 tff(7087,plain,
% 7.97/5.60 (succ(s84, s85) <=> succ(s84, s85)),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7088,axiom,(succ(s84, s85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound85')).
% 7.97/5.60 tff(7089,plain,
% 7.97/5.60 (succ(s84, s85)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 7.97/5.60 tff(7090,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7091,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7092,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 7.97/5.60 tff(7093,plain,
% 7.97/5.60 (trans(s84, s85)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7092, 7089, 32])).
% 7.97/5.60 tff(7094,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7095,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7096,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 7.97/5.60 tff(7097,plain,
% 7.97/5.60 (node14(s84, s85)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7096, 46, 7093])).
% 7.97/5.60 tff(7098,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7099,plain,
% 7.97/5.60 (((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2)) <=> (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7100,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))))),
% 7.97/5.60 inference(monotonicity,[status(thm)],[7099])).
% 7.97/5.60 tff(7101,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 7.97/5.60 inference(transitivity,[status(thm)],[7100, 7098])).
% 7.97/5.60 tff(7102,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7103,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 7.97/5.60 tff(7104,plain,
% 7.97/5.60 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7103, 726, 7097])).
% 7.97/5.60 tff(7105,plain,
% 7.97/5.60 (m_main_v_state2(s85, c_n2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7104, 7086, 7041, 7078, 7074, 7066, 7049])).
% 7.97/5.60 tff(7106,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7107,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7108,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 7.97/5.60 tff(7109,plain,
% 7.97/5.60 (~m_main_v_state2(s85, c_c2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7108, 697, 7105])).
% 7.97/5.60 tff(7110,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7111,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7112,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 7.97/5.60 tff(7113,plain,
% 7.97/5.60 (~node3(s85)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7112, 399, 7109])).
% 7.97/5.60 tff(7114,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7115,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7116,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 7.97/5.60 tff(7117,plain,
% 7.97/5.60 (~node1(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7116, 421, 7062])).
% 7.97/5.60 tff(7118,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7119,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7120,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 7.97/5.60 tff(7121,plain,
% 7.97/5.60 (node18(s83, s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7120, 125, 7032])).
% 7.97/5.60 tff(7122,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7123,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7124,plain,
% 7.97/5.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 7.97/5.60 tff(7125,plain,
% 7.97/5.60 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7124, 760, 7121])).
% 7.97/5.60 tff(7126,plain,
% 7.97/5.60 (m_main_v_turn(s84, c_2)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7125, 6985, 7021])).
% 7.97/5.60 tff(7127,plain,
% 7.97/5.60 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7128,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7129,plain,
% 7.97/5.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 7.97/5.60 tff(7130,plain,
% 7.97/5.60 (~m_main_v_turn(s84, c_1)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7129, 156, 7126])).
% 7.97/5.60 tff(7131,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7132,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7133,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 7.97/5.60 tff(7134,plain,
% 7.97/5.60 (~node5(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7133, 776, 7130])).
% 7.97/5.60 tff(7135,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7136,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7137,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 7.97/5.60 tff(7138,plain,
% 7.97/5.60 (~node2(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7137, 787, 7062])).
% 7.97/5.60 tff(7139,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7140,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7141,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 7.97/5.60 tff(7142,plain,
% 7.97/5.60 (~node3(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7141, 798, 7062])).
% 7.97/5.60 tff(7143,plain,
% 7.97/5.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 7.97/5.60 inference(rewrite,[status(thm)],[])).
% 7.97/5.60 tff(7144,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 7.97/5.60 inference(quant_inst,[status(thm)],[])).
% 7.97/5.60 tff(7145,plain,
% 7.97/5.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 7.97/5.60 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 7.97/5.60 tff(7146,plain,
% 7.97/5.60 (~node4(s84)),
% 7.97/5.60 inference(unit_resolution,[status(thm)],[7145, 388, 7082])).
% 7.97/5.60 tff(7147,plain,
% 7.97/5.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7148,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7149,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 7.97/5.61 tff(7150,plain,
% 7.97/5.61 (node7(s84, s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7149, 206, 7093])).
% 7.97/5.61 tff(7151,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7152,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7153,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 7.97/5.61 tff(7154,plain,
% 7.97/5.61 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7153, 820, 7150])).
% 7.97/5.61 tff(7155,plain,
% 7.97/5.61 (node6(s84, s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7154, 7146, 7070, 7142, 7138, 7134, 7117])).
% 7.97/5.61 tff(7156,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7157,plain,
% 7.97/5.61 (((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1))) <=> (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7158,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))))),
% 7.97/5.61 inference(monotonicity,[status(thm)],[7157])).
% 7.97/5.61 tff(7159,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 7.97/5.61 inference(transitivity,[status(thm)],[7158, 7156])).
% 7.97/5.61 tff(7160,plain,
% 7.97/5.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7161,plain,
% 7.97/5.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 7.97/5.61 tff(7162,plain,
% 7.97/5.61 (~m_main_v_state1(s85, c_n1)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7161, 835, 7062, 7155])).
% 7.97/5.61 tff(7163,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7164,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7165,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 7.97/5.61 tff(7166,plain,
% 7.97/5.61 (~node2(s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7165, 787, 7162])).
% 7.97/5.61 tff(7167,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7168,plain,
% 7.97/5.61 (((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1)) <=> ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7169,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))))),
% 7.97/5.61 inference(monotonicity,[status(thm)],[7168])).
% 7.97/5.61 tff(7170,plain,
% 7.97/5.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 7.97/5.61 inference(transitivity,[status(thm)],[7169, 7167])).
% 7.97/5.61 tff(7171,plain,
% 7.97/5.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7172,plain,
% 7.97/5.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 7.97/5.61 tff(7173,plain,
% 7.97/5.61 (m_main_v_state1(s85, c_t1)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7172, 856, 7058, 7155])).
% 7.97/5.61 tff(7174,plain,
% 7.97/5.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7175,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7176,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 7.97/5.61 tff(7177,plain,
% 7.97/5.61 (~m_main_v_state2(s85, c_t2)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7176, 77, 7105])).
% 7.97/5.61 tff(7178,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7179,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7180,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 7.97/5.61 tff(7181,plain,
% 7.97/5.61 (~node1(s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7180, 195, 7177])).
% 7.97/5.61 tff(7182,plain,
% 7.97/5.61 (succ(s85, s86) <=> succ(s85, s86)),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7183,axiom,(succ(s85, s86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound86')).
% 7.97/5.61 tff(7184,plain,
% 7.97/5.61 (succ(s85, s86)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 7.97/5.61 tff(7185,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7186,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7187,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 7.97/5.61 tff(7188,plain,
% 7.97/5.61 (trans(s85, s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7187, 7184, 32])).
% 7.97/5.61 tff(7189,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7190,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7191,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 7.97/5.61 tff(7192,plain,
% 7.97/5.61 (node7(s85, s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7191, 206, 7188])).
% 7.97/5.61 tff(7193,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7194,plain,
% 7.97/5.61 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1)) <=> ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7195,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))))),
% 7.97/5.61 inference(monotonicity,[status(thm)],[7194])).
% 7.97/5.61 tff(7196,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 7.97/5.61 inference(transitivity,[status(thm)],[7195, 7193])).
% 7.97/5.61 tff(7197,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7198,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 7.97/5.61 tff(7199,plain,
% 7.97/5.61 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7198, 892, 7192])).
% 7.97/5.61 tff(7200,plain,
% 7.97/5.61 (m_main_v_state1(s86, c_c1)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7199, 7181, 7105, 7173, 7166, 7113])).
% 7.97/5.61 tff(7201,plain,
% 7.97/5.61 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7202,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7203,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 7.97/5.61 tff(7204,plain,
% 7.97/5.61 (~m_main_v_state1(s86, c_t1)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7203, 539, 7200])).
% 7.97/5.61 tff(7205,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7206,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7207,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 7.97/5.61 tff(7208,plain,
% 7.97/5.61 (~node5(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7207, 550, 7204])).
% 7.97/5.61 tff(7209,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7210,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7211,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 7.97/5.61 tff(7212,plain,
% 7.97/5.61 (node14(s85, s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7211, 46, 7188])).
% 7.97/5.61 tff(7213,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7214,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7215,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 7.97/5.61 tff(7216,plain,
% 7.97/5.61 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7215, 922, 7212])).
% 7.97/5.61 tff(7217,plain,
% 7.97/5.61 (m_main_v_state2(s86, c_t2)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7216, 7173, 7105])).
% 7.97/5.61 tff(7218,plain,
% 7.97/5.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7219,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7220,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 7.97/5.61 tff(7221,plain,
% 7.97/5.61 (~m_main_v_state2(s86, c_n2)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7220, 77, 7217])).
% 7.97/5.61 tff(7222,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7223,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7224,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 7.97/5.61 tff(7225,plain,
% 7.97/5.61 (~node4(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7224, 388, 7221])).
% 7.97/5.61 tff(7226,plain,
% 7.97/5.61 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7227,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7228,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 7.97/5.61 tff(7229,plain,
% 7.97/5.61 (~m_main_v_state2(s86, c_c2)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7228, 260, 7217])).
% 7.97/5.61 tff(7230,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7231,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7232,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 7.97/5.61 tff(7233,plain,
% 7.97/5.61 (~node3(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7232, 399, 7229])).
% 7.97/5.61 tff(7234,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7235,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7236,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 7.97/5.61 tff(7237,plain,
% 7.97/5.61 (~node2(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7236, 410, 7221])).
% 7.97/5.61 tff(7238,plain,
% 7.97/5.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7239,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7240,plain,
% 7.97/5.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 7.97/5.61 tff(7241,plain,
% 7.97/5.61 (~m_main_v_state1(s86, c_n1)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7240, 454, 7200])).
% 7.97/5.61 tff(7242,plain,
% 7.97/5.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7243,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7244,plain,
% 7.97/5.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 7.97/5.61 tff(7245,plain,
% 7.97/5.61 (~node1(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7244, 421, 7241])).
% 7.97/5.61 tff(7246,plain,
% 7.97/5.61 (succ(s86, s87) <=> succ(s86, s87)),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7247,axiom,(succ(s86, s87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound87')).
% 7.97/5.61 tff(7248,plain,
% 7.97/5.61 (succ(s86, s87)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 7.97/5.61 tff(7249,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7250,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7251,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 7.97/5.61 tff(7252,plain,
% 7.97/5.61 (trans(s86, s87)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7251, 7248, 32])).
% 7.97/5.61 tff(7253,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7254,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7255,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 7.97/5.61 tff(7256,plain,
% 7.97/5.61 (node7(s86, s87)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7255, 206, 7252])).
% 7.97/5.61 tff(7257,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7258,plain,
% 7.97/5.61 (((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1)) <=> (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 7.97/5.61 inference(rewrite,[status(thm)],[])).
% 7.97/5.61 tff(7259,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))))),
% 7.97/5.61 inference(monotonicity,[status(thm)],[7258])).
% 7.97/5.61 tff(7260,plain,
% 7.97/5.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 7.97/5.61 inference(transitivity,[status(thm)],[7259, 7257])).
% 7.97/5.61 tff(7261,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))),
% 7.97/5.61 inference(quant_inst,[status(thm)],[])).
% 7.97/5.61 tff(7262,plain,
% 7.97/5.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))),
% 7.97/5.61 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 7.97/5.61 tff(7263,plain,
% 7.97/5.61 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 7.97/5.61 inference(unit_resolution,[status(thm)],[7262, 584, 7256])).
% 7.97/5.62 tff(7264,plain,
% 7.97/5.62 (m_main_v_state1(s87, c_n1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7263, 7245, 7200, 7237, 7233, 7225, 7208])).
% 7.97/5.62 tff(7265,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7266,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7267,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 7.97/5.62 tff(7268,plain,
% 7.97/5.62 (~node15(s85)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7267, 103, 7177])).
% 7.97/5.62 tff(7269,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7270,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7271,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 7.97/5.62 tff(7272,plain,
% 7.97/5.62 (node18(s85, s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7271, 125, 7188])).
% 7.97/5.62 tff(7273,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7274,plain,
% 7.97/5.62 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1)) <=> (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7275,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)))),
% 7.97/5.62 inference(monotonicity,[status(thm)],[7274])).
% 7.97/5.62 tff(7276,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 7.97/5.62 inference(transitivity,[status(thm)],[7275, 7273])).
% 7.97/5.62 tff(7277,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7278,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 7.97/5.62 tff(7279,plain,
% 7.97/5.62 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7278, 992, 7272])).
% 7.97/5.62 tff(7280,plain,
% 7.97/5.62 (m_main_v_turn(s86, c_1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7279, 7268, 7105, 7173])).
% 7.97/5.62 tff(7281,plain,
% 7.97/5.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7282,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7283,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 7.97/5.62 tff(7284,plain,
% 7.97/5.62 (~m_main_v_turn(s86, c_2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7283, 156, 7280])).
% 7.97/5.62 tff(7285,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7286,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7287,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 7.97/5.62 tff(7288,plain,
% 7.97/5.62 (~node12(s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7287, 184, 7284])).
% 7.97/5.62 tff(7289,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7290,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7291,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 7.97/5.62 tff(7292,plain,
% 7.97/5.62 (~node8(s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7291, 271, 7221])).
% 7.97/5.62 tff(7293,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7294,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7295,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 7.97/5.62 tff(7296,plain,
% 7.97/5.62 (~node9(s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7295, 88, 7221])).
% 7.97/5.62 tff(7297,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7298,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7299,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 7.97/5.62 tff(7300,plain,
% 7.97/5.62 (~node10(s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7299, 249, 7221])).
% 7.97/5.62 tff(7301,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7302,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7303,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 7.97/5.62 tff(7304,plain,
% 7.97/5.62 (~node11(s86)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7303, 238, 7241])).
% 7.97/5.62 tff(7305,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7306,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7307,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 7.97/5.62 tff(7308,plain,
% 7.97/5.62 (node14(s86, s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7307, 46, 7252])).
% 7.97/5.62 tff(7309,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7310,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7311,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 7.97/5.62 tff(7312,plain,
% 7.97/5.62 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7311, 296, 7308])).
% 7.97/5.62 tff(7313,plain,
% 7.97/5.62 (node13(s86, s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7312, 7304, 7229, 7300, 7296, 7292, 7288])).
% 7.97/5.62 tff(7314,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7315,plain,
% 7.97/5.62 (((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2)) <=> ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7316,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))))),
% 7.97/5.62 inference(monotonicity,[status(thm)],[7315])).
% 7.97/5.62 tff(7317,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 7.97/5.62 inference(transitivity,[status(thm)],[7316, 7314])).
% 7.97/5.62 tff(7318,plain,
% 7.97/5.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7319,plain,
% 7.97/5.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 7.97/5.62 tff(7320,plain,
% 7.97/5.62 (m_main_v_state2(s87, c_t2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7319, 518, 7217, 7313])).
% 7.97/5.62 tff(7321,plain,
% 7.97/5.62 (succ(s87, s88) <=> succ(s87, s88)),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7322,axiom,(succ(s87, s88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound88')).
% 7.97/5.62 tff(7323,plain,
% 7.97/5.62 (succ(s87, s88)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7322, 7321])).
% 7.97/5.62 tff(7324,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7325,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7326,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 7.97/5.62 tff(7327,plain,
% 7.97/5.62 (trans(s87, s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7326, 7323, 32])).
% 7.97/5.62 tff(7328,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7329,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7330,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 7.97/5.62 tff(7331,plain,
% 7.97/5.62 (node7(s87, s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7330, 206, 7327])).
% 7.97/5.62 tff(7332,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7333,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7334,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 7.97/5.62 tff(7335,plain,
% 7.97/5.62 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7334, 651, 7331])).
% 7.97/5.62 tff(7336,plain,
% 7.97/5.62 (m_main_v_state1(s88, c_t1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7335, 7320, 7264])).
% 7.97/5.62 tff(7337,plain,
% 7.97/5.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7338,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7339,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 7.97/5.62 tff(7340,plain,
% 7.97/5.62 (~m_main_v_state1(s88, c_n1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7339, 10, 7336])).
% 7.97/5.62 tff(7341,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7342,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7343,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 7.97/5.62 tff(7344,plain,
% 7.97/5.62 (~node1(s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7343, 421, 7340])).
% 7.97/5.62 tff(7345,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7346,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7347,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 7.97/5.62 tff(7348,plain,
% 7.97/5.62 (node18(s87, s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7347, 125, 7327])).
% 7.97/5.62 tff(7349,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7350,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7351,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 7.97/5.62 tff(7352,plain,
% 7.97/5.62 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7351, 760, 7348])).
% 7.97/5.62 tff(7353,plain,
% 7.97/5.62 (m_main_v_turn(s88, c_2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7352, 7320, 7264])).
% 7.97/5.62 tff(7354,plain,
% 7.97/5.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7355,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7356,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7355, 7354])).
% 7.97/5.62 tff(7357,plain,
% 7.97/5.62 (~m_main_v_turn(s88, c_1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7356, 156, 7353])).
% 7.97/5.62 tff(7358,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7359,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7360,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 7.97/5.62 tff(7361,plain,
% 7.97/5.62 (~node5(s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7360, 776, 7357])).
% 7.97/5.62 tff(7362,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7363,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7364,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 7.97/5.62 tff(7365,plain,
% 7.97/5.62 (~node2(s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7364, 787, 7340])).
% 7.97/5.62 tff(7366,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7367,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7368,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 7.97/5.62 tff(7369,plain,
% 7.97/5.62 (~node3(s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7368, 798, 7340])).
% 7.97/5.62 tff(7370,plain,
% 7.97/5.62 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7371,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7372,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 7.97/5.62 tff(7373,plain,
% 7.97/5.62 (~m_main_v_state1(s88, c_c1)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7372, 539, 7336])).
% 7.97/5.62 tff(7374,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7375,plain,
% 7.97/5.62 (((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2))) <=> (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7376,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))))),
% 7.97/5.62 inference(monotonicity,[status(thm)],[7375])).
% 7.97/5.62 tff(7377,plain,
% 7.97/5.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 7.97/5.62 inference(transitivity,[status(thm)],[7376, 7374])).
% 7.97/5.62 tff(7378,plain,
% 7.97/5.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7379,plain,
% 7.97/5.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 7.97/5.62 tff(7380,plain,
% 7.97/5.62 (~m_main_v_state2(s87, c_n2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7379, 311, 7221, 7313])).
% 7.97/5.62 tff(7381,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7382,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7383,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 7.97/5.62 tff(7384,plain,
% 7.97/5.62 (~node9(s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7383, 88, 7380])).
% 7.97/5.62 tff(7385,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7386,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7387,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 7.97/5.62 tff(7388,plain,
% 7.97/5.62 (~node10(s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7387, 249, 7380])).
% 7.97/5.62 tff(7389,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7390,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7391,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 7.97/5.62 tff(7392,plain,
% 7.97/5.62 (~node8(s87)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7391, 271, 7380])).
% 7.97/5.62 tff(7393,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7394,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7395,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 7.97/5.62 tff(7396,plain,
% 7.97/5.62 (node14(s87, s88)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7395, 46, 7327])).
% 7.97/5.62 tff(7397,plain,
% 7.97/5.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7398,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7399,plain,
% 7.97/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2)),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 7.97/5.62 tff(7400,plain,
% 7.97/5.62 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | m_main_v_state2(s88, c_c2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7399, 617, 7396])).
% 7.97/5.62 tff(7401,plain,
% 7.97/5.62 (m_main_v_state2(s88, c_c2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7400, 7392, 7264, 7320, 7388, 7384])).
% 7.97/5.62 tff(7402,plain,
% 7.97/5.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7403,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.62 inference(quant_inst,[status(thm)],[])).
% 7.97/5.62 tff(7404,plain,
% 7.97/5.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2))),
% 7.97/5.62 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 7.97/5.62 tff(7405,plain,
% 7.97/5.62 (~m_main_v_state2(s88, c_n2)),
% 7.97/5.62 inference(unit_resolution,[status(thm)],[7404, 697, 7401])).
% 7.97/5.62 tff(7406,plain,
% 7.97/5.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 7.97/5.62 inference(rewrite,[status(thm)],[])).
% 7.97/5.62 tff(7407,plain,
% 7.97/5.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7408,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 7.97/5.63 tff(7409,plain,
% 7.97/5.63 (~node4(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7408, 388, 7405])).
% 7.97/5.63 tff(7410,plain,
% 7.97/5.63 (succ(s88, s89) <=> succ(s88, s89)),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7411,axiom,(succ(s88, s89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound89')).
% 7.97/5.63 tff(7412,plain,
% 7.97/5.63 (succ(s88, s89)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7411, 7410])).
% 7.97/5.63 tff(7413,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7414,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7415,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 7.97/5.63 tff(7416,plain,
% 7.97/5.63 (trans(s88, s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7415, 7412, 32])).
% 7.97/5.63 tff(7417,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7418,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7419,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 7.97/5.63 tff(7420,plain,
% 7.97/5.63 (node7(s88, s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7419, 206, 7416])).
% 7.97/5.63 tff(7421,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7422,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7423,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 7.97/5.63 tff(7424,plain,
% 7.97/5.63 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7423, 820, 7420])).
% 7.97/5.63 tff(7425,plain,
% 7.97/5.63 (node6(s88, s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7424, 7409, 7373, 7369, 7365, 7361, 7344])).
% 7.97/5.63 tff(7426,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7427,plain,
% 7.97/5.63 (((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1)) <=> ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7428,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))))),
% 7.97/5.63 inference(monotonicity,[status(thm)],[7427])).
% 7.97/5.63 tff(7429,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 7.97/5.63 inference(transitivity,[status(thm)],[7428, 7426])).
% 7.97/5.63 tff(7430,plain,
% 7.97/5.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7431,plain,
% 7.97/5.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 7.97/5.63 tff(7432,plain,
% 7.97/5.63 (m_main_v_state1(s89, c_t1)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7431, 856, 7336, 7425])).
% 7.97/5.63 tff(7433,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7434,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7435,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 7.97/5.63 tff(7436,plain,
% 7.97/5.63 (~m_main_v_state2(s88, c_t2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7435, 260, 7401])).
% 7.97/5.63 tff(7437,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7438,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7439,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 7.97/5.63 tff(7440,plain,
% 7.97/5.63 (~node12(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7439, 633, 7436])).
% 7.97/5.63 tff(7441,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7442,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7443,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 7.97/5.63 tff(7444,plain,
% 7.97/5.63 (~node11(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7443, 238, 7340])).
% 7.97/5.63 tff(7445,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7446,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7447,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 7.97/5.63 tff(7448,plain,
% 7.97/5.63 (~node10(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7447, 675, 7373])).
% 7.97/5.63 tff(7449,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7450,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7451,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 7.97/5.63 tff(7452,plain,
% 7.97/5.63 (~node9(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7451, 686, 7340])).
% 7.97/5.63 tff(7453,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7454,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7455,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 7.97/5.63 tff(7456,plain,
% 7.97/5.63 (~node8(s88)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7455, 271, 7405])).
% 7.97/5.63 tff(7457,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7458,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7459,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 7.97/5.63 tff(7460,plain,
% 7.97/5.63 (node14(s88, s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7459, 46, 7416])).
% 7.97/5.63 tff(7461,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7462,plain,
% 7.97/5.63 (((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2)) <=> (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7463,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))))),
% 7.97/5.63 inference(monotonicity,[status(thm)],[7462])).
% 7.97/5.63 tff(7464,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 7.97/5.63 inference(transitivity,[status(thm)],[7463, 7461])).
% 7.97/5.63 tff(7465,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7466,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 7.97/5.63 tff(7467,plain,
% 7.97/5.63 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7466, 726, 7460])).
% 7.97/5.63 tff(7468,plain,
% 7.97/5.63 (m_main_v_state2(s89, c_n2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7467, 7456, 7401, 7452, 7448, 7444, 7440])).
% 7.97/5.63 tff(7469,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7470,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7471,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 7.97/5.63 tff(7472,plain,
% 7.97/5.63 (~m_main_v_state2(s89, c_t2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7471, 77, 7468])).
% 7.97/5.63 tff(7473,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7474,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7475,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 7.97/5.63 tff(7476,plain,
% 7.97/5.63 (~node15(s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7475, 103, 7472])).
% 7.97/5.63 tff(7477,plain,
% 7.97/5.63 (succ(s89, s90) <=> succ(s89, s90)),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7478,axiom,(succ(s89, s90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound90')).
% 7.97/5.63 tff(7479,plain,
% 7.97/5.63 (succ(s89, s90)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 7.97/5.63 tff(7480,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7481,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7482,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 7.97/5.63 tff(7483,plain,
% 7.97/5.63 (trans(s89, s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7482, 7479, 32])).
% 7.97/5.63 tff(7484,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7485,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7486,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 7.97/5.63 tff(7487,plain,
% 7.97/5.63 (node18(s89, s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7486, 125, 7483])).
% 7.97/5.63 tff(7488,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7489,plain,
% 7.97/5.63 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1)) <=> (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7490,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)))),
% 7.97/5.63 inference(monotonicity,[status(thm)],[7489])).
% 7.97/5.63 tff(7491,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 7.97/5.63 inference(transitivity,[status(thm)],[7490, 7488])).
% 7.97/5.63 tff(7492,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7493,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 7.97/5.63 tff(7494,plain,
% 7.97/5.63 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7493, 992, 7487])).
% 7.97/5.63 tff(7495,plain,
% 7.97/5.63 (m_main_v_turn(s90, c_1)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7494, 7476, 7468, 7432])).
% 7.97/5.63 tff(7496,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7497,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7498,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 7.97/5.63 tff(7499,plain,
% 7.97/5.63 (~m_main_v_turn(s90, c_2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7498, 156, 7495])).
% 7.97/5.63 tff(7500,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7501,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7502,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 7.97/5.63 tff(7503,plain,
% 7.97/5.63 (~node12(s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7502, 184, 7499])).
% 7.97/5.63 tff(7504,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7505,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7506,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 7.97/5.63 tff(7507,plain,
% 7.97/5.63 (node14(s89, s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7506, 46, 7483])).
% 7.97/5.63 tff(7508,plain,
% 7.97/5.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7509,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7510,plain,
% 7.97/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2)),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 7.97/5.63 tff(7511,plain,
% 7.97/5.63 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7510, 922, 7507])).
% 7.97/5.63 tff(7512,plain,
% 7.97/5.63 (m_main_v_state2(s90, c_t2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7511, 7432, 7468])).
% 7.97/5.63 tff(7513,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7514,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7515,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 7.97/5.63 tff(7516,plain,
% 7.97/5.63 (~m_main_v_state2(s90, c_n2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7515, 77, 7512])).
% 7.97/5.63 tff(7517,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7518,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7519,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7518, 7517])).
% 7.97/5.63 tff(7520,plain,
% 7.97/5.63 (~node8(s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7519, 271, 7516])).
% 7.97/5.63 tff(7521,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7522,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7523,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 7.97/5.63 tff(7524,plain,
% 7.97/5.63 (~node9(s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7523, 88, 7516])).
% 7.97/5.63 tff(7525,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7526,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7527,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 7.97/5.63 tff(7528,plain,
% 7.97/5.63 (~node10(s90)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7527, 249, 7516])).
% 7.97/5.63 tff(7529,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7530,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7531,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 7.97/5.63 tff(7532,plain,
% 7.97/5.63 (~m_main_v_state2(s90, c_c2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7531, 260, 7512])).
% 7.97/5.63 tff(7533,plain,
% 7.97/5.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7534,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7535,plain,
% 7.97/5.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 7.97/5.63 tff(7536,plain,
% 7.97/5.63 (~m_main_v_state2(s89, c_c2)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7535, 697, 7468])).
% 7.97/5.63 tff(7537,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7538,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7539,plain,
% 7.97/5.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 7.97/5.63 tff(7540,plain,
% 7.97/5.63 (~node3(s89)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7539, 399, 7536])).
% 7.97/5.63 tff(7541,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7542,plain,
% 7.97/5.63 (((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1))) <=> (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 7.97/5.63 inference(rewrite,[status(thm)],[])).
% 7.97/5.63 tff(7543,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))))),
% 7.97/5.63 inference(monotonicity,[status(thm)],[7542])).
% 7.97/5.63 tff(7544,plain,
% 7.97/5.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 7.97/5.63 inference(transitivity,[status(thm)],[7543, 7541])).
% 7.97/5.63 tff(7545,plain,
% 7.97/5.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))),
% 7.97/5.63 inference(quant_inst,[status(thm)],[])).
% 7.97/5.63 tff(7546,plain,
% 7.97/5.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))),
% 7.97/5.63 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 7.97/5.63 tff(7547,plain,
% 7.97/5.63 (~m_main_v_state1(s89, c_n1)),
% 7.97/5.63 inference(unit_resolution,[status(thm)],[7546, 835, 7340, 7425])).
% 7.97/5.63 tff(7548,plain,
% 7.97/5.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7549,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7550,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 7.97/5.64 tff(7551,plain,
% 7.97/5.64 (~node2(s89)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7550, 787, 7547])).
% 7.97/5.64 tff(7552,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7553,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7554,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 7.97/5.64 tff(7555,plain,
% 7.97/5.64 (~node1(s89)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7554, 195, 7472])).
% 7.97/5.64 tff(7556,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7557,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7558,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 7.97/5.64 tff(7559,plain,
% 7.97/5.64 (node7(s89, s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7558, 206, 7483])).
% 7.97/5.64 tff(7560,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7561,plain,
% 7.97/5.64 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1)) <=> ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7562,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))))),
% 7.97/5.64 inference(monotonicity,[status(thm)],[7561])).
% 7.97/5.64 tff(7563,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 7.97/5.64 inference(transitivity,[status(thm)],[7562, 7560])).
% 7.97/5.64 tff(7564,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7565,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 7.97/5.64 tff(7566,plain,
% 7.97/5.64 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7565, 892, 7559])).
% 7.97/5.64 tff(7567,plain,
% 7.97/5.64 (m_main_v_state1(s90, c_c1)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7566, 7555, 7468, 7432, 7551, 7540])).
% 7.97/5.64 tff(7568,plain,
% 7.97/5.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7569,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7570,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 7.97/5.64 tff(7571,plain,
% 7.97/5.64 (~m_main_v_state1(s90, c_n1)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7570, 454, 7567])).
% 7.97/5.64 tff(7572,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7573,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7574,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 7.97/5.64 tff(7575,plain,
% 7.97/5.64 (~node11(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7574, 238, 7571])).
% 7.97/5.64 tff(7576,plain,
% 7.97/5.64 (succ(s90, s91) <=> succ(s90, s91)),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7577,axiom,(succ(s90, s91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound91')).
% 7.97/5.64 tff(7578,plain,
% 7.97/5.64 (succ(s90, s91)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 7.97/5.64 tff(7579,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7580,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7581,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 7.97/5.64 tff(7582,plain,
% 7.97/5.64 (trans(s90, s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7581, 7578, 32])).
% 7.97/5.64 tff(7583,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7584,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7585,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 7.97/5.64 tff(7586,plain,
% 7.97/5.64 (node14(s90, s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7585, 46, 7582])).
% 7.97/5.64 tff(7587,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7588,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7589,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 7.97/5.64 tff(7590,plain,
% 7.97/5.64 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7589, 296, 7586])).
% 7.97/5.64 tff(7591,plain,
% 7.97/5.64 (node13(s90, s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7590, 7575, 7532, 7528, 7524, 7520, 7503])).
% 7.97/5.64 tff(7592,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7593,plain,
% 7.97/5.64 (((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2))) <=> (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7594,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))))),
% 7.97/5.64 inference(monotonicity,[status(thm)],[7593])).
% 7.97/5.64 tff(7595,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 7.97/5.64 inference(transitivity,[status(thm)],[7594, 7592])).
% 7.97/5.64 tff(7596,plain,
% 7.97/5.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7597,plain,
% 7.97/5.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 7.97/5.64 tff(7598,plain,
% 7.97/5.64 (~m_main_v_state2(s91, c_n2)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7597, 311, 7516, 7591])).
% 7.97/5.64 tff(7599,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7600,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7601,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 7.97/5.64 tff(7602,plain,
% 7.97/5.64 (~node9(s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7601, 88, 7598])).
% 7.97/5.64 tff(7603,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7604,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7605,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 7.97/5.64 tff(7606,plain,
% 7.97/5.64 (~node10(s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7605, 249, 7598])).
% 7.97/5.64 tff(7607,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7608,plain,
% 7.97/5.64 (((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2)) <=> ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7609,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))))),
% 7.97/5.64 inference(monotonicity,[status(thm)],[7608])).
% 7.97/5.64 tff(7610,plain,
% 7.97/5.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 7.97/5.64 inference(transitivity,[status(thm)],[7609, 7607])).
% 7.97/5.64 tff(7611,plain,
% 7.97/5.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7612,plain,
% 7.97/5.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 7.97/5.64 tff(7613,plain,
% 7.97/5.64 (m_main_v_state2(s91, c_t2)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7612, 518, 7512, 7591])).
% 7.97/5.64 tff(7614,plain,
% 7.97/5.64 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7615,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7616,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 7.97/5.64 tff(7617,plain,
% 7.97/5.64 (~m_main_v_state1(s90, c_t1)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7616, 539, 7567])).
% 7.97/5.64 tff(7618,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7619,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7620,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 7.97/5.64 tff(7621,plain,
% 7.97/5.64 (~node5(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7620, 550, 7617])).
% 7.97/5.64 tff(7622,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7623,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7624,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 7.97/5.64 tff(7625,plain,
% 7.97/5.64 (~node4(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7624, 388, 7516])).
% 7.97/5.64 tff(7626,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7627,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7628,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 7.97/5.64 tff(7629,plain,
% 7.97/5.64 (~node3(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7628, 399, 7532])).
% 7.97/5.64 tff(7630,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7631,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7632,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 7.97/5.64 tff(7633,plain,
% 7.97/5.64 (~node2(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7632, 410, 7516])).
% 7.97/5.64 tff(7634,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7635,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7636,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 7.97/5.64 tff(7637,plain,
% 7.97/5.64 (~node1(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7636, 421, 7571])).
% 7.97/5.64 tff(7638,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7639,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7640,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 7.97/5.64 tff(7641,plain,
% 7.97/5.64 (node7(s90, s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7640, 206, 7582])).
% 7.97/5.64 tff(7642,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7643,plain,
% 7.97/5.64 (((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1)) <=> (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7644,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))))),
% 7.97/5.64 inference(monotonicity,[status(thm)],[7643])).
% 7.97/5.64 tff(7645,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 7.97/5.64 inference(transitivity,[status(thm)],[7644, 7642])).
% 7.97/5.64 tff(7646,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7647,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 7.97/5.64 tff(7648,plain,
% 7.97/5.64 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7647, 584, 7641])).
% 7.97/5.64 tff(7649,plain,
% 7.97/5.64 (m_main_v_state1(s91, c_n1)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7648, 7637, 7567, 7633, 7629, 7625, 7621])).
% 7.97/5.64 tff(7650,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7651,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7652,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 7.97/5.64 tff(7653,plain,
% 7.97/5.64 (~node8(s91)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7652, 271, 7598])).
% 7.97/5.64 tff(7654,plain,
% 7.97/5.64 (succ(s91, s92) <=> succ(s91, s92)),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7655,axiom,(succ(s91, s92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound92')).
% 7.97/5.64 tff(7656,plain,
% 7.97/5.64 (succ(s91, s92)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 7.97/5.64 tff(7657,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7658,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7659,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 7.97/5.64 tff(7660,plain,
% 7.97/5.64 (trans(s91, s92)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7659, 7656, 32])).
% 7.97/5.64 tff(7661,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7662,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7663,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 7.97/5.64 tff(7664,plain,
% 7.97/5.64 (node14(s91, s92)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7663, 46, 7660])).
% 7.97/5.64 tff(7665,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7666,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7667,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 7.97/5.64 tff(7668,plain,
% 7.97/5.64 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | m_main_v_state2(s92, c_c2)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7667, 617, 7664])).
% 7.97/5.64 tff(7669,plain,
% 7.97/5.64 (m_main_v_state2(s92, c_c2)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7668, 7653, 7649, 7613, 7606, 7602])).
% 7.97/5.64 tff(7670,plain,
% 7.97/5.64 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7671,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7672,plain,
% 7.97/5.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 7.97/5.64 tff(7673,plain,
% 7.97/5.64 (~m_main_v_state2(s92, c_t2)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7672, 260, 7669])).
% 7.97/5.64 tff(7674,plain,
% 7.97/5.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7675,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7676,plain,
% 7.97/5.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 7.97/5.64 tff(7677,plain,
% 7.97/5.64 (~node12(s92)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7676, 633, 7673])).
% 7.97/5.64 tff(7678,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7679,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7680,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 7.97/5.64 tff(7681,plain,
% 7.97/5.64 (node7(s91, s92)),
% 7.97/5.64 inference(unit_resolution,[status(thm)],[7680, 206, 7660])).
% 7.97/5.64 tff(7682,plain,
% 7.97/5.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 7.97/5.64 inference(rewrite,[status(thm)],[])).
% 7.97/5.64 tff(7683,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 7.97/5.64 inference(quant_inst,[status(thm)],[])).
% 7.97/5.64 tff(7684,plain,
% 7.97/5.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1)),
% 7.97/5.64 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 7.97/5.65 tff(7685,plain,
% 7.97/5.65 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7684, 651, 7681])).
% 7.97/5.65 tff(7686,plain,
% 7.97/5.65 (m_main_v_state1(s92, c_t1)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7685, 7613, 7649])).
% 7.97/5.65 tff(7687,plain,
% 7.97/5.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7688,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7689,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 7.97/5.65 tff(7690,plain,
% 7.97/5.65 (~m_main_v_state1(s92, c_n1)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7689, 10, 7686])).
% 7.97/5.65 tff(7691,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7692,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7693,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 7.97/5.65 tff(7694,plain,
% 7.97/5.65 (~node11(s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7693, 238, 7690])).
% 7.97/5.65 tff(7695,plain,
% 7.97/5.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7696,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7697,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 7.97/5.65 tff(7698,plain,
% 7.97/5.65 (~m_main_v_state1(s92, c_c1)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7697, 539, 7686])).
% 7.97/5.65 tff(7699,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7700,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7701,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 7.97/5.65 tff(7702,plain,
% 7.97/5.65 (~node10(s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7701, 675, 7698])).
% 7.97/5.65 tff(7703,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7704,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7705,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 7.97/5.65 tff(7706,plain,
% 7.97/5.65 (~node9(s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7705, 686, 7690])).
% 7.97/5.65 tff(7707,plain,
% 7.97/5.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7708,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7709,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 7.97/5.65 tff(7710,plain,
% 7.97/5.65 (~m_main_v_state2(s92, c_n2)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7709, 697, 7669])).
% 7.97/5.65 tff(7711,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7712,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7713,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 7.97/5.65 tff(7714,plain,
% 7.97/5.65 (~node8(s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7713, 271, 7710])).
% 7.97/5.65 tff(7715,plain,
% 7.97/5.65 (succ(s92, s93) <=> succ(s92, s93)),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7716,axiom,(succ(s92, s93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound93')).
% 7.97/5.65 tff(7717,plain,
% 7.97/5.65 (succ(s92, s93)),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 7.97/5.65 tff(7718,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7719,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7720,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 7.97/5.65 tff(7721,plain,
% 7.97/5.65 (trans(s92, s93)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7720, 7717, 32])).
% 7.97/5.65 tff(7722,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7723,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7724,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 7.97/5.65 tff(7725,plain,
% 7.97/5.65 (node14(s92, s93)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7724, 46, 7721])).
% 7.97/5.65 tff(7726,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7727,plain,
% 7.97/5.65 (((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2)) <=> (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7728,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))))),
% 7.97/5.65 inference(monotonicity,[status(thm)],[7727])).
% 7.97/5.65 tff(7729,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 7.97/5.65 inference(transitivity,[status(thm)],[7728, 7726])).
% 7.97/5.65 tff(7730,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7731,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 7.97/5.65 tff(7732,plain,
% 7.97/5.65 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7731, 726, 7725])).
% 7.97/5.65 tff(7733,plain,
% 7.97/5.65 (m_main_v_state2(s93, c_n2)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7732, 7714, 7669, 7706, 7702, 7694, 7677])).
% 7.97/5.65 tff(7734,plain,
% 7.97/5.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7735,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7736,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 7.97/5.65 tff(7737,plain,
% 7.97/5.65 (~m_main_v_state2(s93, c_c2)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7736, 697, 7733])).
% 7.97/5.65 tff(7738,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7739,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7740,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 7.97/5.65 tff(7741,plain,
% 7.97/5.65 (~node3(s93)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7740, 399, 7737])).
% 7.97/5.65 tff(7742,plain,
% 7.97/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7743,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7744,plain,
% 7.97/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7743, 7742])).
% 7.97/5.65 tff(7745,plain,
% 7.97/5.65 (~node1(s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7744, 421, 7690])).
% 7.97/5.65 tff(7746,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7747,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7748,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 7.97/5.65 tff(7749,plain,
% 7.97/5.65 (node18(s91, s92)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7748, 125, 7660])).
% 7.97/5.65 tff(7750,plain,
% 7.97/5.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7751,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7752,plain,
% 7.97/5.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2)),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 7.97/5.65 tff(7753,plain,
% 7.97/5.65 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7752, 760, 7749])).
% 7.97/5.65 tff(7754,plain,
% 7.97/5.65 (m_main_v_turn(s92, c_2)),
% 7.97/5.65 inference(unit_resolution,[status(thm)],[7753, 7613, 7649])).
% 7.97/5.65 tff(7755,plain,
% 7.97/5.65 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 7.97/5.65 inference(rewrite,[status(thm)],[])).
% 7.97/5.65 tff(7756,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 7.97/5.65 inference(quant_inst,[status(thm)],[])).
% 7.97/5.65 tff(7757,plain,
% 7.97/5.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2))),
% 7.97/5.65 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 8.03/5.65 tff(7758,plain,
% 8.03/5.65 (~m_main_v_turn(s92, c_1)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7757, 156, 7754])).
% 8.03/5.65 tff(7759,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7760,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7761,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 8.03/5.65 tff(7762,plain,
% 8.03/5.65 (~node5(s92)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7761, 776, 7758])).
% 8.03/5.65 tff(7763,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7764,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7765,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 8.03/5.65 tff(7766,plain,
% 8.03/5.65 (~node2(s92)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7765, 787, 7690])).
% 8.03/5.65 tff(7767,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7768,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7769,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 8.03/5.65 tff(7770,plain,
% 8.03/5.65 (~node3(s92)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7769, 798, 7690])).
% 8.03/5.65 tff(7771,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7772,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7773,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 8.03/5.65 tff(7774,plain,
% 8.03/5.65 (~node4(s92)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7773, 388, 7710])).
% 8.03/5.65 tff(7775,plain,
% 8.03/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7776,plain,
% 8.03/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7777,plain,
% 8.03/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 8.03/5.65 tff(7778,plain,
% 8.03/5.65 (node7(s92, s93)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7777, 206, 7721])).
% 8.03/5.65 tff(7779,plain,
% 8.03/5.65 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7780,plain,
% 8.03/5.65 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7781,plain,
% 8.03/5.65 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 8.03/5.65 tff(7782,plain,
% 8.03/5.65 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7781, 820, 7778])).
% 8.03/5.65 tff(7783,plain,
% 8.03/5.65 (node6(s92, s93)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7782, 7774, 7698, 7770, 7766, 7762, 7745])).
% 8.03/5.65 tff(7784,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7785,plain,
% 8.03/5.65 (((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1))) <=> (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7786,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))))),
% 8.03/5.65 inference(monotonicity,[status(thm)],[7785])).
% 8.03/5.65 tff(7787,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 8.03/5.65 inference(transitivity,[status(thm)],[7786, 7784])).
% 8.03/5.65 tff(7788,plain,
% 8.03/5.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7789,plain,
% 8.03/5.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 8.03/5.65 tff(7790,plain,
% 8.03/5.65 (~m_main_v_state1(s93, c_n1)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7789, 835, 7690, 7783])).
% 8.03/5.65 tff(7791,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7792,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7793,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 8.03/5.65 tff(7794,plain,
% 8.03/5.65 (~node2(s93)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7793, 787, 7790])).
% 8.03/5.65 tff(7795,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7796,plain,
% 8.03/5.65 (((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1)) <=> ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7797,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))))),
% 8.03/5.65 inference(monotonicity,[status(thm)],[7796])).
% 8.03/5.65 tff(7798,plain,
% 8.03/5.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 8.03/5.65 inference(transitivity,[status(thm)],[7797, 7795])).
% 8.03/5.65 tff(7799,plain,
% 8.03/5.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7800,plain,
% 8.03/5.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 8.03/5.65 tff(7801,plain,
% 8.03/5.65 (m_main_v_state1(s93, c_t1)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7800, 856, 7686, 7783])).
% 8.03/5.65 tff(7802,plain,
% 8.03/5.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7803,plain,
% 8.03/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7804,plain,
% 8.03/5.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 8.03/5.65 tff(7805,plain,
% 8.03/5.65 (~m_main_v_state2(s93, c_t2)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7804, 77, 7733])).
% 8.03/5.65 tff(7806,plain,
% 8.03/5.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7807,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 8.03/5.65 inference(quant_inst,[status(thm)],[])).
% 8.03/5.65 tff(7808,plain,
% 8.03/5.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 8.03/5.65 tff(7809,plain,
% 8.03/5.65 (~node1(s93)),
% 8.03/5.65 inference(unit_resolution,[status(thm)],[7808, 195, 7805])).
% 8.03/5.65 tff(7810,plain,
% 8.03/5.65 (succ(s93, s94) <=> succ(s93, s94)),
% 8.03/5.65 inference(rewrite,[status(thm)],[])).
% 8.03/5.65 tff(7811,axiom,(succ(s93, s94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound94')).
% 8.03/5.65 tff(7812,plain,
% 8.03/5.65 (succ(s93, s94)),
% 8.03/5.65 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 8.03/5.66 tff(7813,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7814,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7815,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 8.03/5.66 tff(7816,plain,
% 8.03/5.66 (trans(s93, s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7815, 7812, 32])).
% 8.03/5.66 tff(7817,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7818,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7819,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 8.03/5.66 tff(7820,plain,
% 8.03/5.66 (node7(s93, s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7819, 206, 7816])).
% 8.03/5.66 tff(7821,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7822,plain,
% 8.03/5.66 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1)) <=> ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7823,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))))),
% 8.03/5.66 inference(monotonicity,[status(thm)],[7822])).
% 8.03/5.66 tff(7824,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 8.03/5.66 inference(transitivity,[status(thm)],[7823, 7821])).
% 8.03/5.66 tff(7825,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7826,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 8.03/5.66 tff(7827,plain,
% 8.03/5.66 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7826, 892, 7820])).
% 8.03/5.66 tff(7828,plain,
% 8.03/5.66 (m_main_v_state1(s94, c_c1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7827, 7809, 7733, 7801, 7794, 7741])).
% 8.03/5.66 tff(7829,plain,
% 8.03/5.66 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7830,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7831,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 8.03/5.66 tff(7832,plain,
% 8.03/5.66 (~m_main_v_state1(s94, c_t1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7831, 539, 7828])).
% 8.03/5.66 tff(7833,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7834,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7835,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 8.03/5.66 tff(7836,plain,
% 8.03/5.66 (~node5(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7835, 550, 7832])).
% 8.03/5.66 tff(7837,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7838,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7839,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 8.03/5.66 tff(7840,plain,
% 8.03/5.66 (node14(s93, s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7839, 46, 7816])).
% 8.03/5.66 tff(7841,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7842,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7843,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 8.03/5.66 tff(7844,plain,
% 8.03/5.66 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7843, 922, 7840])).
% 8.03/5.66 tff(7845,plain,
% 8.03/5.66 (m_main_v_state2(s94, c_t2)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7844, 7801, 7733])).
% 8.03/5.66 tff(7846,plain,
% 8.03/5.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7847,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7848,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 8.03/5.66 tff(7849,plain,
% 8.03/5.66 (~m_main_v_state2(s94, c_n2)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7848, 77, 7845])).
% 8.03/5.66 tff(7850,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7851,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7852,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 8.03/5.66 tff(7853,plain,
% 8.03/5.66 (~node4(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7852, 388, 7849])).
% 8.03/5.66 tff(7854,plain,
% 8.03/5.66 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7855,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7856,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 8.03/5.66 tff(7857,plain,
% 8.03/5.66 (~m_main_v_state2(s94, c_c2)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7856, 260, 7845])).
% 8.03/5.66 tff(7858,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7859,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7860,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 8.03/5.66 tff(7861,plain,
% 8.03/5.66 (~node3(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7860, 399, 7857])).
% 8.03/5.66 tff(7862,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7863,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7864,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 8.03/5.66 tff(7865,plain,
% 8.03/5.66 (~node2(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7864, 410, 7849])).
% 8.03/5.66 tff(7866,plain,
% 8.03/5.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7867,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7868,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 8.03/5.66 tff(7869,plain,
% 8.03/5.66 (~m_main_v_state1(s94, c_n1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7868, 454, 7828])).
% 8.03/5.66 tff(7870,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7871,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7872,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 8.03/5.66 tff(7873,plain,
% 8.03/5.66 (~node1(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7872, 421, 7869])).
% 8.03/5.66 tff(7874,plain,
% 8.03/5.66 (succ(s94, s95) <=> succ(s94, s95)),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7875,axiom,(succ(s94, s95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound95')).
% 8.03/5.66 tff(7876,plain,
% 8.03/5.66 (succ(s94, s95)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 8.03/5.66 tff(7877,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7878,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7879,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 8.03/5.66 tff(7880,plain,
% 8.03/5.66 (trans(s94, s95)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7879, 7876, 32])).
% 8.03/5.66 tff(7881,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7882,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7883,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 8.03/5.66 tff(7884,plain,
% 8.03/5.66 (node7(s94, s95)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7883, 206, 7880])).
% 8.03/5.66 tff(7885,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7886,plain,
% 8.03/5.66 (((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1)) <=> (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7887,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))))),
% 8.03/5.66 inference(monotonicity,[status(thm)],[7886])).
% 8.03/5.66 tff(7888,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 8.03/5.66 inference(transitivity,[status(thm)],[7887, 7885])).
% 8.03/5.66 tff(7889,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7890,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 8.03/5.66 tff(7891,plain,
% 8.03/5.66 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7890, 584, 7884])).
% 8.03/5.66 tff(7892,plain,
% 8.03/5.66 (m_main_v_state1(s95, c_n1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7891, 7873, 7828, 7865, 7861, 7853, 7836])).
% 8.03/5.66 tff(7893,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7894,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7895,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 8.03/5.66 tff(7896,plain,
% 8.03/5.66 (~node15(s93)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7895, 103, 7805])).
% 8.03/5.66 tff(7897,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7898,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7899,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 8.03/5.66 tff(7900,plain,
% 8.03/5.66 (node18(s93, s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7899, 125, 7816])).
% 8.03/5.66 tff(7901,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7902,plain,
% 8.03/5.66 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1)) <=> (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7903,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)))),
% 8.03/5.66 inference(monotonicity,[status(thm)],[7902])).
% 8.03/5.66 tff(7904,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 8.03/5.66 inference(transitivity,[status(thm)],[7903, 7901])).
% 8.03/5.66 tff(7905,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7906,plain,
% 8.03/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 8.03/5.66 tff(7907,plain,
% 8.03/5.66 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7906, 992, 7900])).
% 8.03/5.66 tff(7908,plain,
% 8.03/5.66 (m_main_v_turn(s94, c_1)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7907, 7896, 7733, 7801])).
% 8.03/5.66 tff(7909,plain,
% 8.03/5.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7910,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7911,plain,
% 8.03/5.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 8.03/5.66 tff(7912,plain,
% 8.03/5.66 (~m_main_v_turn(s94, c_2)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7911, 156, 7908])).
% 8.03/5.66 tff(7913,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7914,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7915,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 8.03/5.66 tff(7916,plain,
% 8.03/5.66 (~node12(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7915, 184, 7912])).
% 8.03/5.66 tff(7917,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7918,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7919,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 8.03/5.66 tff(7920,plain,
% 8.03/5.66 (~node8(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7919, 271, 7849])).
% 8.03/5.66 tff(7921,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7922,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7923,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 8.03/5.66 tff(7924,plain,
% 8.03/5.66 (~node9(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7923, 88, 7849])).
% 8.03/5.66 tff(7925,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7926,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7927,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 8.03/5.66 tff(7928,plain,
% 8.03/5.66 (~node10(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7927, 249, 7849])).
% 8.03/5.66 tff(7929,plain,
% 8.03/5.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 8.03/5.66 inference(rewrite,[status(thm)],[])).
% 8.03/5.66 tff(7930,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 8.03/5.66 inference(quant_inst,[status(thm)],[])).
% 8.03/5.66 tff(7931,plain,
% 8.03/5.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 8.03/5.66 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 8.03/5.66 tff(7932,plain,
% 8.03/5.66 (~node11(s94)),
% 8.03/5.66 inference(unit_resolution,[status(thm)],[7931, 238, 7869])).
% 8.03/5.66 tff(7933,plain,
% 8.03/5.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7934,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7935,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 8.03/5.67 tff(7936,plain,
% 8.03/5.67 (node14(s94, s95)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7935, 46, 7880])).
% 8.03/5.67 tff(7937,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7938,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7939,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 8.03/5.67 tff(7940,plain,
% 8.03/5.67 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7939, 296, 7936])).
% 8.03/5.67 tff(7941,plain,
% 8.03/5.67 (node13(s94, s95)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7940, 7932, 7857, 7928, 7924, 7920, 7916])).
% 8.03/5.67 tff(7942,plain,
% 8.03/5.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7943,plain,
% 8.03/5.67 (((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2)) <=> ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7944,plain,
% 8.03/5.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))))),
% 8.03/5.67 inference(monotonicity,[status(thm)],[7943])).
% 8.03/5.67 tff(7945,plain,
% 8.03/5.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 8.03/5.67 inference(transitivity,[status(thm)],[7944, 7942])).
% 8.03/5.67 tff(7946,plain,
% 8.03/5.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7947,plain,
% 8.03/5.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 8.03/5.67 tff(7948,plain,
% 8.03/5.67 (m_main_v_state2(s95, c_t2)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7947, 518, 7845, 7941])).
% 8.03/5.67 tff(7949,plain,
% 8.03/5.67 (succ(s95, s96) <=> succ(s95, s96)),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7950,axiom,(succ(s95, s96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound96')).
% 8.03/5.67 tff(7951,plain,
% 8.03/5.67 (succ(s95, s96)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 8.03/5.67 tff(7952,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7953,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7954,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 8.03/5.67 tff(7955,plain,
% 8.03/5.67 (trans(s95, s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7954, 7951, 32])).
% 8.03/5.67 tff(7956,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7957,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7958,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 8.03/5.67 tff(7959,plain,
% 8.03/5.67 (node7(s95, s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7958, 206, 7955])).
% 8.03/5.67 tff(7960,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7961,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7962,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 8.03/5.67 tff(7963,plain,
% 8.03/5.67 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7962, 651, 7959])).
% 8.03/5.67 tff(7964,plain,
% 8.03/5.67 (m_main_v_state1(s96, c_t1)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7963, 7948, 7892])).
% 8.03/5.67 tff(7965,plain,
% 8.03/5.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7966,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7967,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 8.03/5.67 tff(7968,plain,
% 8.03/5.67 (~m_main_v_state1(s96, c_n1)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7967, 10, 7964])).
% 8.03/5.67 tff(7969,plain,
% 8.03/5.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7970,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7971,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 8.03/5.67 tff(7972,plain,
% 8.03/5.67 (~node1(s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7971, 421, 7968])).
% 8.03/5.67 tff(7973,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7974,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7975,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 8.03/5.67 tff(7976,plain,
% 8.03/5.67 (node18(s95, s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7975, 125, 7955])).
% 8.03/5.67 tff(7977,plain,
% 8.03/5.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7978,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7979,plain,
% 8.03/5.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2)),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 8.03/5.67 tff(7980,plain,
% 8.03/5.67 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7979, 760, 7976])).
% 8.03/5.67 tff(7981,plain,
% 8.03/5.67 (m_main_v_turn(s96, c_2)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7980, 7948, 7892])).
% 8.03/5.67 tff(7982,plain,
% 8.03/5.67 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7983,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7984,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 8.03/5.67 tff(7985,plain,
% 8.03/5.67 (~m_main_v_turn(s96, c_1)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7984, 156, 7981])).
% 8.03/5.67 tff(7986,plain,
% 8.03/5.67 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7987,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7988,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 8.03/5.67 tff(7989,plain,
% 8.03/5.67 (~node5(s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7988, 776, 7985])).
% 8.03/5.67 tff(7990,plain,
% 8.03/5.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7991,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7992,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 8.03/5.67 tff(7993,plain,
% 8.03/5.67 (~node2(s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7992, 787, 7968])).
% 8.03/5.67 tff(7994,plain,
% 8.03/5.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7995,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(7996,plain,
% 8.03/5.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 8.03/5.67 tff(7997,plain,
% 8.03/5.67 (~node3(s96)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[7996, 798, 7968])).
% 8.03/5.67 tff(7998,plain,
% 8.03/5.67 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(7999,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 8.03/5.67 inference(quant_inst,[status(thm)],[])).
% 8.03/5.67 tff(8000,plain,
% 8.03/5.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1))),
% 8.03/5.67 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 8.03/5.67 tff(8001,plain,
% 8.03/5.67 (~m_main_v_state1(s96, c_c1)),
% 8.03/5.67 inference(unit_resolution,[status(thm)],[8000, 539, 7964])).
% 8.03/5.67 tff(8002,plain,
% 8.03/5.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(8003,plain,
% 8.03/5.67 (((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2))) <=> (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 8.03/5.67 inference(rewrite,[status(thm)],[])).
% 8.03/5.67 tff(8004,plain,
% 8.03/5.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))))),
% 8.03/5.67 inference(monotonicity,[status(thm)],[8003])).
% 8.03/5.68 tff(8005,plain,
% 8.03/5.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 8.03/5.68 inference(transitivity,[status(thm)],[8004, 8002])).
% 8.03/5.68 tff(8006,plain,
% 8.03/5.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8007,plain,
% 8.03/5.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 8.03/5.68 tff(8008,plain,
% 8.03/5.68 (~m_main_v_state2(s95, c_n2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8007, 311, 7849, 7941])).
% 8.03/5.68 tff(8009,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8010,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8011,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 8.03/5.68 tff(8012,plain,
% 8.03/5.68 (~node9(s95)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8011, 88, 8008])).
% 8.03/5.68 tff(8013,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8014,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8015,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 8.03/5.68 tff(8016,plain,
% 8.03/5.68 (~node10(s95)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8015, 249, 8008])).
% 8.03/5.68 tff(8017,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8018,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8019,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 8.03/5.68 tff(8020,plain,
% 8.03/5.68 (~node8(s95)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8019, 271, 8008])).
% 8.03/5.68 tff(8021,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8022,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8023,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 8.03/5.68 tff(8024,plain,
% 8.03/5.68 (node14(s95, s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8023, 46, 7955])).
% 8.03/5.68 tff(8025,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8026,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8027,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 8.03/5.68 tff(8028,plain,
% 8.03/5.68 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | m_main_v_state2(s96, c_c2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8027, 617, 8024])).
% 8.03/5.68 tff(8029,plain,
% 8.03/5.68 (m_main_v_state2(s96, c_c2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8028, 8020, 7892, 7948, 8016, 8012])).
% 8.03/5.68 tff(8030,plain,
% 8.03/5.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8031,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8032,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 8.03/5.68 tff(8033,plain,
% 8.03/5.68 (~m_main_v_state2(s96, c_n2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8032, 697, 8029])).
% 8.03/5.68 tff(8034,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8035,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8036,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 8.03/5.68 tff(8037,plain,
% 8.03/5.68 (~node4(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8036, 388, 8033])).
% 8.03/5.68 tff(8038,plain,
% 8.03/5.68 (succ(s96, s97) <=> succ(s96, s97)),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8039,axiom,(succ(s96, s97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound97')).
% 8.03/5.68 tff(8040,plain,
% 8.03/5.68 (succ(s96, s97)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 8.03/5.68 tff(8041,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8042,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8043,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 8.03/5.68 tff(8044,plain,
% 8.03/5.68 (trans(s96, s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8043, 8040, 32])).
% 8.03/5.68 tff(8045,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8046,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8047,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 8.03/5.68 tff(8048,plain,
% 8.03/5.68 (node7(s96, s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8047, 206, 8044])).
% 8.03/5.68 tff(8049,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8050,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8051,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 8.03/5.68 tff(8052,plain,
% 8.03/5.68 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8051, 820, 8048])).
% 8.03/5.68 tff(8053,plain,
% 8.03/5.68 (node6(s96, s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8052, 8037, 8001, 7997, 7993, 7989, 7972])).
% 8.03/5.68 tff(8054,plain,
% 8.03/5.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8055,plain,
% 8.03/5.68 (((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1)) <=> ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8056,plain,
% 8.03/5.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))))),
% 8.03/5.68 inference(monotonicity,[status(thm)],[8055])).
% 8.03/5.68 tff(8057,plain,
% 8.03/5.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 8.03/5.68 inference(transitivity,[status(thm)],[8056, 8054])).
% 8.03/5.68 tff(8058,plain,
% 8.03/5.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8059,plain,
% 8.03/5.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 8.03/5.68 tff(8060,plain,
% 8.03/5.68 (m_main_v_state1(s97, c_t1)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8059, 856, 7964, 8053])).
% 8.03/5.68 tff(8061,plain,
% 8.03/5.68 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8062,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8063,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 8.03/5.68 tff(8064,plain,
% 8.03/5.68 (~m_main_v_state2(s96, c_t2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8063, 260, 8029])).
% 8.03/5.68 tff(8065,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8066,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8067,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 8.03/5.68 tff(8068,plain,
% 8.03/5.68 (~node12(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8067, 633, 8064])).
% 8.03/5.68 tff(8069,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8070,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8071,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 8.03/5.68 tff(8072,plain,
% 8.03/5.68 (~node11(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8071, 238, 7968])).
% 8.03/5.68 tff(8073,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8074,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8075,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 8.03/5.68 tff(8076,plain,
% 8.03/5.68 (~node10(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8075, 675, 8001])).
% 8.03/5.68 tff(8077,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8078,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8079,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 8.03/5.68 tff(8080,plain,
% 8.03/5.68 (~node9(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8079, 686, 7968])).
% 8.03/5.68 tff(8081,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8082,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8083,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 8.03/5.68 tff(8084,plain,
% 8.03/5.68 (~node8(s96)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8083, 271, 8033])).
% 8.03/5.68 tff(8085,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8086,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8087,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 8.03/5.68 tff(8088,plain,
% 8.03/5.68 (node14(s96, s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8087, 46, 8044])).
% 8.03/5.68 tff(8089,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8090,plain,
% 8.03/5.68 (((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2)) <=> (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8091,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))))),
% 8.03/5.68 inference(monotonicity,[status(thm)],[8090])).
% 8.03/5.68 tff(8092,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 8.03/5.68 inference(transitivity,[status(thm)],[8091, 8089])).
% 8.03/5.68 tff(8093,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8094,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 8.03/5.68 tff(8095,plain,
% 8.03/5.68 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8094, 726, 8088])).
% 8.03/5.68 tff(8096,plain,
% 8.03/5.68 (m_main_v_state2(s97, c_n2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8095, 8084, 8029, 8080, 8076, 8072, 8068])).
% 8.03/5.68 tff(8097,plain,
% 8.03/5.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8098,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8099,plain,
% 8.03/5.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 8.03/5.68 tff(8100,plain,
% 8.03/5.68 (~m_main_v_state2(s97, c_t2)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8099, 77, 8096])).
% 8.03/5.68 tff(8101,plain,
% 8.03/5.68 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8102,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8103,plain,
% 8.03/5.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97))),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 8.03/5.68 tff(8104,plain,
% 8.03/5.68 (~node15(s97)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8103, 103, 8100])).
% 8.03/5.68 tff(8105,plain,
% 8.03/5.68 (succ(s97, s98) <=> succ(s97, s98)),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8106,axiom,(succ(s97, s98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound98')).
% 8.03/5.68 tff(8107,plain,
% 8.03/5.68 (succ(s97, s98)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 8.03/5.68 tff(8108,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98))),
% 8.03/5.68 inference(rewrite,[status(thm)],[])).
% 8.03/5.68 tff(8109,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 8.03/5.68 inference(quant_inst,[status(thm)],[])).
% 8.03/5.68 tff(8110,plain,
% 8.03/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 8.03/5.68 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 8.03/5.68 tff(8111,plain,
% 8.03/5.68 (trans(s97, s98)),
% 8.03/5.68 inference(unit_resolution,[status(thm)],[8110, 8107, 32])).
% 8.03/5.68 tff(8112,plain,
% 8.03/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8113,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8114,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 8.03/5.69 tff(8115,plain,
% 8.03/5.69 (node18(s97, s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8114, 125, 8111])).
% 8.03/5.69 tff(8116,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8117,plain,
% 8.03/5.69 (((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1)) <=> (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8118,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)))),
% 8.03/5.69 inference(monotonicity,[status(thm)],[8117])).
% 8.03/5.69 tff(8119,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 8.03/5.69 inference(transitivity,[status(thm)],[8118, 8116])).
% 8.03/5.69 tff(8120,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8121,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 8.03/5.69 tff(8122,plain,
% 8.03/5.69 (node15(s97) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8121, 992, 8115])).
% 8.03/5.69 tff(8123,plain,
% 8.03/5.69 (m_main_v_turn(s98, c_1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8122, 8104, 8096, 8060])).
% 8.03/5.69 tff(8124,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8125,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8126,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 8.03/5.69 tff(8127,plain,
% 8.03/5.69 (~m_main_v_turn(s98, c_2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8126, 156, 8123])).
% 8.03/5.69 tff(8128,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8129,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8130,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 8.03/5.69 tff(8131,plain,
% 8.03/5.69 (~node12(s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8130, 184, 8127])).
% 8.03/5.69 tff(8132,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8133,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8134,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 8.03/5.69 tff(8135,plain,
% 8.03/5.69 (node14(s97, s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8134, 46, 8111])).
% 8.03/5.69 tff(8136,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8137,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8138,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 8.03/5.69 tff(8139,plain,
% 8.03/5.69 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8138, 922, 8135])).
% 8.03/5.69 tff(8140,plain,
% 8.03/5.69 (m_main_v_state2(s98, c_t2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8139, 8060, 8096])).
% 8.03/5.69 tff(8141,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8142,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8143,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 8.03/5.69 tff(8144,plain,
% 8.03/5.69 (~m_main_v_state2(s98, c_n2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8143, 77, 8140])).
% 8.03/5.69 tff(8145,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8146,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8147,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 8.03/5.69 tff(8148,plain,
% 8.03/5.69 (~node8(s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8147, 271, 8144])).
% 8.03/5.69 tff(8149,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8150,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8151,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 8.03/5.69 tff(8152,plain,
% 8.03/5.69 (~node9(s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8151, 88, 8144])).
% 8.03/5.69 tff(8153,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8154,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8155,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 8.03/5.69 tff(8156,plain,
% 8.03/5.69 (~node10(s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8155, 249, 8144])).
% 8.03/5.69 tff(8157,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8158,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8159,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 8.03/5.69 tff(8160,plain,
% 8.03/5.69 (~m_main_v_state2(s98, c_c2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8159, 260, 8140])).
% 8.03/5.69 tff(8161,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8162,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8163,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 8.03/5.69 tff(8164,plain,
% 8.03/5.69 (~m_main_v_state2(s97, c_c2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8163, 697, 8096])).
% 8.03/5.69 tff(8165,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8166,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8167,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8166, 8165])).
% 8.03/5.69 tff(8168,plain,
% 8.03/5.69 (~node3(s97)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8167, 399, 8164])).
% 8.03/5.69 tff(8169,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8170,plain,
% 8.03/5.69 (((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1))) <=> (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8171,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))))),
% 8.03/5.69 inference(monotonicity,[status(thm)],[8170])).
% 8.03/5.69 tff(8172,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 8.03/5.69 inference(transitivity,[status(thm)],[8171, 8169])).
% 8.03/5.69 tff(8173,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8174,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 8.03/5.69 tff(8175,plain,
% 8.03/5.69 (~m_main_v_state1(s97, c_n1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8174, 835, 7968, 8053])).
% 8.03/5.69 tff(8176,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8177,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8178,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 8.03/5.69 tff(8179,plain,
% 8.03/5.69 (~node2(s97)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8178, 787, 8175])).
% 8.03/5.69 tff(8180,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8181,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8182,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 8.03/5.69 tff(8183,plain,
% 8.03/5.69 (~node1(s97)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8182, 195, 8100])).
% 8.03/5.69 tff(8184,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8185,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8186,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8185, 8184])).
% 8.03/5.69 tff(8187,plain,
% 8.03/5.69 (node7(s97, s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8186, 206, 8111])).
% 8.03/5.69 tff(8188,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8189,plain,
% 8.03/5.69 (((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1)) <=> ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8190,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))))),
% 8.03/5.69 inference(monotonicity,[status(thm)],[8189])).
% 8.03/5.69 tff(8191,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 8.03/5.69 inference(transitivity,[status(thm)],[8190, 8188])).
% 8.03/5.69 tff(8192,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8193,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 8.03/5.69 tff(8194,plain,
% 8.03/5.69 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8193, 892, 8187])).
% 8.03/5.69 tff(8195,plain,
% 8.03/5.69 (m_main_v_state1(s98, c_c1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8194, 8183, 8096, 8060, 8179, 8168])).
% 8.03/5.69 tff(8196,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8197,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8198,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 8.03/5.69 tff(8199,plain,
% 8.03/5.69 (~m_main_v_state1(s98, c_n1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8198, 454, 8195])).
% 8.03/5.69 tff(8200,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8201,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8202,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 8.03/5.69 tff(8203,plain,
% 8.03/5.69 (~node11(s98)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8202, 238, 8199])).
% 8.03/5.69 tff(8204,plain,
% 8.03/5.69 (succ(s98, s99) <=> succ(s98, s99)),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8205,axiom,(succ(s98, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound99')).
% 8.03/5.69 tff(8206,plain,
% 8.03/5.69 (succ(s98, s99)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 8.03/5.69 tff(8207,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8208,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8209,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 8.03/5.69 tff(8210,plain,
% 8.03/5.69 (trans(s98, s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8209, 8206, 32])).
% 8.03/5.69 tff(8211,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8212,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8213,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99)),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 8.03/5.69 tff(8214,plain,
% 8.03/5.69 (node14(s98, s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8213, 46, 8210])).
% 8.03/5.69 tff(8215,plain,
% 8.03/5.69 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8216,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8217,plain,
% 8.03/5.69 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 8.03/5.69 tff(8218,plain,
% 8.03/5.69 (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8217, 296, 8214])).
% 8.03/5.69 tff(8219,plain,
% 8.03/5.69 (node13(s98, s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8218, 8203, 8160, 8156, 8152, 8148, 8131])).
% 8.03/5.69 tff(8220,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8221,plain,
% 8.03/5.69 (((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2))) <=> (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8222,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))))),
% 8.03/5.69 inference(monotonicity,[status(thm)],[8221])).
% 8.03/5.69 tff(8223,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 8.03/5.69 inference(transitivity,[status(thm)],[8222, 8220])).
% 8.03/5.69 tff(8224,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8225,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 8.03/5.69 tff(8226,plain,
% 8.03/5.69 (~m_main_v_state2(s99, c_n2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8225, 311, 8144, 8219])).
% 8.03/5.69 tff(8227,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8228,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8229,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 8.03/5.69 tff(8230,plain,
% 8.03/5.69 (~node9(s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8229, 88, 8226])).
% 8.03/5.69 tff(8231,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8232,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8233,plain,
% 8.03/5.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 8.03/5.69 tff(8234,plain,
% 8.03/5.69 (~node10(s99)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8233, 249, 8226])).
% 8.03/5.69 tff(8235,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8236,plain,
% 8.03/5.69 (((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2)) <=> ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8237,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))))),
% 8.03/5.69 inference(monotonicity,[status(thm)],[8236])).
% 8.03/5.69 tff(8238,plain,
% 8.03/5.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 8.03/5.69 inference(transitivity,[status(thm)],[8237, 8235])).
% 8.03/5.69 tff(8239,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8240,plain,
% 8.03/5.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 8.03/5.69 tff(8241,plain,
% 8.03/5.69 (m_main_v_state2(s99, c_t2)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8240, 518, 8140, 8219])).
% 8.03/5.69 tff(8242,plain,
% 8.03/5.69 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 8.03/5.69 inference(rewrite,[status(thm)],[])).
% 8.03/5.69 tff(8243,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 8.03/5.69 inference(quant_inst,[status(thm)],[])).
% 8.03/5.69 tff(8244,plain,
% 8.03/5.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1))),
% 8.03/5.69 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 8.03/5.69 tff(8245,plain,
% 8.03/5.69 (~m_main_v_state1(s98, c_t1)),
% 8.03/5.69 inference(unit_resolution,[status(thm)],[8244, 539, 8195])).
% 8.03/5.69 tff(8246,plain,
% 8.03/5.69 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8247,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8248,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 8.03/5.70 tff(8249,plain,
% 8.03/5.70 (~node5(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8248, 550, 8245])).
% 8.03/5.70 tff(8250,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8251,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8252,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 8.03/5.70 tff(8253,plain,
% 8.03/5.70 (~node4(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8252, 388, 8144])).
% 8.03/5.70 tff(8254,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8255,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8256,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 8.03/5.70 tff(8257,plain,
% 8.03/5.70 (~node3(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8256, 399, 8160])).
% 8.03/5.70 tff(8258,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8259,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8260,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 8.03/5.70 tff(8261,plain,
% 8.03/5.70 (~node2(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8260, 410, 8144])).
% 8.03/5.70 tff(8262,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8263,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8264,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 8.03/5.70 tff(8265,plain,
% 8.03/5.70 (~node1(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8264, 421, 8199])).
% 8.03/5.70 tff(8266,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8267,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8268,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 8.03/5.70 tff(8269,plain,
% 8.03/5.70 (node7(s98, s99)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8268, 206, 8210])).
% 8.03/5.70 tff(8270,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8271,plain,
% 8.03/5.70 (((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1)) <=> (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8272,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))))),
% 8.03/5.70 inference(monotonicity,[status(thm)],[8271])).
% 8.03/5.70 tff(8273,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 8.03/5.70 inference(transitivity,[status(thm)],[8272, 8270])).
% 8.03/5.70 tff(8274,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8275,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 8.03/5.70 tff(8276,plain,
% 8.03/5.70 (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8275, 584, 8269])).
% 8.03/5.70 tff(8277,plain,
% 8.03/5.70 (m_main_v_state1(s99, c_n1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8276, 8265, 8195, 8261, 8257, 8253, 8249])).
% 8.03/5.70 tff(8278,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8279,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8280,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8279, 8278])).
% 8.03/5.70 tff(8281,plain,
% 8.03/5.70 (~node8(s99)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8280, 271, 8226])).
% 8.03/5.70 tff(8282,plain,
% 8.03/5.70 (succ(s99, s100) <=> succ(s99, s100)),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8283,axiom,(succ(s99, s100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound100')).
% 8.03/5.70 tff(8284,plain,
% 8.03/5.70 (succ(s99, s100)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8283, 8282])).
% 8.03/5.70 tff(8285,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8286,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8287,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 8.03/5.70 tff(8288,plain,
% 8.03/5.70 (trans(s99, s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8287, 8284, 32])).
% 8.03/5.70 tff(8289,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8290,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8291,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 8.03/5.70 tff(8292,plain,
% 8.03/5.70 (node14(s99, s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8291, 46, 8288])).
% 8.03/5.70 tff(8293,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8294,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8295,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 8.03/5.70 tff(8296,plain,
% 8.03/5.70 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | m_main_v_state2(s100, c_c2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8295, 617, 8292])).
% 8.03/5.70 tff(8297,plain,
% 8.03/5.70 (m_main_v_state2(s100, c_c2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8296, 8281, 8277, 8241, 8234, 8230])).
% 8.03/5.70 tff(8298,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8299,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8300,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 8.03/5.70 tff(8301,plain,
% 8.03/5.70 (~m_main_v_state2(s100, c_t2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8300, 260, 8297])).
% 8.03/5.70 tff(8302,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8303,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8304,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 8.03/5.70 tff(8305,plain,
% 8.03/5.70 (~node12(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8304, 633, 8301])).
% 8.03/5.70 tff(8306,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8307,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8308,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 8.03/5.70 tff(8309,plain,
% 8.03/5.70 (node7(s99, s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8308, 206, 8288])).
% 8.03/5.70 tff(8310,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8311,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8312,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 8.03/5.70 tff(8313,plain,
% 8.03/5.70 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_state1(s100, c_t1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8312, 651, 8309])).
% 8.03/5.70 tff(8314,plain,
% 8.03/5.70 (m_main_v_state1(s100, c_t1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8313, 8241, 8277])).
% 8.03/5.70 tff(8315,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8316,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8317,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 8.03/5.70 tff(8318,plain,
% 8.03/5.70 (~m_main_v_state1(s100, c_n1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8317, 10, 8314])).
% 8.03/5.70 tff(8319,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8320,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8321,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 8.03/5.70 tff(8322,plain,
% 8.03/5.70 (~node11(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8321, 238, 8318])).
% 8.03/5.70 tff(8323,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8324,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8325,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 8.03/5.70 tff(8326,plain,
% 8.03/5.70 (~m_main_v_state1(s100, c_c1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8325, 539, 8314])).
% 8.03/5.70 tff(8327,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8328,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8329,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 8.03/5.70 tff(8330,plain,
% 8.03/5.70 (~node10(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8329, 675, 8326])).
% 8.03/5.70 tff(8331,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8332,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8333,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 8.03/5.70 tff(8334,plain,
% 8.03/5.70 (~node9(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8333, 686, 8318])).
% 8.03/5.70 tff(8335,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8336,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8337,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 8.03/5.70 tff(8338,plain,
% 8.03/5.70 (~m_main_v_state2(s100, c_n2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8337, 697, 8297])).
% 8.03/5.70 tff(8339,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8340,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8341,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 8.03/5.70 tff(8342,plain,
% 8.03/5.70 (~node8(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8341, 271, 8338])).
% 8.03/5.70 tff(8343,plain,
% 8.03/5.70 (succ(s100, s101) <=> succ(s100, s101)),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8344,axiom,(succ(s100, s101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound101')).
% 8.03/5.70 tff(8345,plain,
% 8.03/5.70 (succ(s100, s101)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 8.03/5.70 tff(8346,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8347,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8348,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 8.03/5.70 tff(8349,plain,
% 8.03/5.70 (trans(s100, s101)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8348, 8345, 32])).
% 8.03/5.70 tff(8350,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8351,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8352,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 8.03/5.70 tff(8353,plain,
% 8.03/5.70 (node14(s100, s101)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8352, 46, 8349])).
% 8.03/5.70 tff(8354,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8355,plain,
% 8.03/5.70 (((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2)) <=> (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8356,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))))),
% 8.03/5.70 inference(monotonicity,[status(thm)],[8355])).
% 8.03/5.70 tff(8357,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 8.03/5.70 inference(transitivity,[status(thm)],[8356, 8354])).
% 8.03/5.70 tff(8358,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8359,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 8.03/5.70 tff(8360,plain,
% 8.03/5.70 (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~m_main_v_state2(s100, c_c2))),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8359, 726, 8353])).
% 8.03/5.70 tff(8361,plain,
% 8.03/5.70 (m_main_v_state2(s101, c_n2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8360, 8342, 8297, 8334, 8330, 8322, 8305])).
% 8.03/5.70 tff(8362,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8363,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8364,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 8.03/5.70 tff(8365,plain,
% 8.03/5.70 (~m_main_v_state2(s101, c_c2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8364, 697, 8361])).
% 8.03/5.70 tff(8366,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8367,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8368,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 8.03/5.70 tff(8369,plain,
% 8.03/5.70 (~node3(s101)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8368, 399, 8365])).
% 8.03/5.70 tff(8370,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8371,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8372,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8371, 8370])).
% 8.03/5.70 tff(8373,plain,
% 8.03/5.70 (~node1(s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8372, 421, 8318])).
% 8.03/5.70 tff(8374,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8375,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8376,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 8.03/5.70 tff(8377,plain,
% 8.03/5.70 (node18(s99, s100)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8376, 125, 8288])).
% 8.03/5.70 tff(8378,plain,
% 8.03/5.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8379,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8380,plain,
% 8.03/5.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2)),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 8.03/5.70 tff(8381,plain,
% 8.03/5.70 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_turn(s100, c_2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8380, 760, 8377])).
% 8.03/5.70 tff(8382,plain,
% 8.03/5.70 (m_main_v_turn(s100, c_2)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8381, 8241, 8277])).
% 8.03/5.70 tff(8383,plain,
% 8.03/5.70 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8384,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8385,plain,
% 8.03/5.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 8.03/5.70 tff(8386,plain,
% 8.03/5.70 (~m_main_v_turn(s100, c_1)),
% 8.03/5.70 inference(unit_resolution,[status(thm)],[8385, 156, 8382])).
% 8.03/5.70 tff(8387,plain,
% 8.03/5.70 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 8.03/5.70 inference(rewrite,[status(thm)],[])).
% 8.03/5.70 tff(8388,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 8.03/5.70 inference(quant_inst,[status(thm)],[])).
% 8.03/5.70 tff(8389,plain,
% 8.03/5.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100))),
% 8.03/5.70 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 8.03/5.71 tff(8390,plain,
% 8.03/5.71 (~node5(s100)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8389, 776, 8386])).
% 8.03/5.71 tff(8391,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8392,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8393,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 8.03/5.71 tff(8394,plain,
% 8.03/5.71 (~node2(s100)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8393, 787, 8318])).
% 8.03/5.71 tff(8395,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8396,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8397,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 8.03/5.71 tff(8398,plain,
% 8.03/5.71 (~node3(s100)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8397, 798, 8318])).
% 8.03/5.71 tff(8399,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8400,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8401,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 8.03/5.71 tff(8402,plain,
% 8.03/5.71 (~node4(s100)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8401, 388, 8338])).
% 8.03/5.71 tff(8403,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8404,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8405,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 8.03/5.71 tff(8406,plain,
% 8.03/5.71 (node7(s100, s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8405, 206, 8349])).
% 8.03/5.71 tff(8407,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8408,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8409,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 8.03/5.71 tff(8410,plain,
% 8.03/5.71 (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8409, 820, 8406])).
% 8.03/5.71 tff(8411,plain,
% 8.03/5.71 (node6(s100, s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8410, 8402, 8326, 8398, 8394, 8390, 8373])).
% 8.03/5.71 tff(8412,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8413,plain,
% 8.03/5.71 (((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1))) <=> (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8414,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))))),
% 8.03/5.71 inference(monotonicity,[status(thm)],[8413])).
% 8.03/5.71 tff(8415,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 8.03/5.71 inference(transitivity,[status(thm)],[8414, 8412])).
% 8.03/5.71 tff(8416,plain,
% 8.03/5.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8417,plain,
% 8.03/5.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 8.03/5.71 tff(8418,plain,
% 8.03/5.71 (~m_main_v_state1(s101, c_n1)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8417, 835, 8318, 8411])).
% 8.03/5.71 tff(8419,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8420,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8421,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 8.03/5.71 tff(8422,plain,
% 8.03/5.71 (~node2(s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8421, 787, 8418])).
% 8.03/5.71 tff(8423,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8424,plain,
% 8.03/5.71 (((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1)) <=> ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8425,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))))),
% 8.03/5.71 inference(monotonicity,[status(thm)],[8424])).
% 8.03/5.71 tff(8426,plain,
% 8.03/5.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 8.03/5.71 inference(transitivity,[status(thm)],[8425, 8423])).
% 8.03/5.71 tff(8427,plain,
% 8.03/5.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8428,plain,
% 8.03/5.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 8.03/5.71 tff(8429,plain,
% 8.03/5.71 (m_main_v_state1(s101, c_t1)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8428, 856, 8314, 8411])).
% 8.03/5.71 tff(8430,plain,
% 8.03/5.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8431,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8432,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8431, 8430])).
% 8.03/5.71 tff(8433,plain,
% 8.03/5.71 (~m_main_v_state2(s101, c_t2)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8432, 77, 8361])).
% 8.03/5.71 tff(8434,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8435,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8436,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 8.03/5.71 tff(8437,plain,
% 8.03/5.71 (~node1(s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8436, 195, 8433])).
% 8.03/5.71 tff(8438,plain,
% 8.03/5.71 (succ(s101, s102) <=> succ(s101, s102)),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8439,axiom,(succ(s101, s102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound102')).
% 8.03/5.71 tff(8440,plain,
% 8.03/5.71 (succ(s101, s102)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 8.03/5.71 tff(8441,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8442,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8443,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 8.03/5.71 tff(8444,plain,
% 8.03/5.71 (trans(s101, s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8443, 8440, 32])).
% 8.03/5.71 tff(8445,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8446,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8447,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 8.03/5.71 tff(8448,plain,
% 8.03/5.71 (node7(s101, s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8447, 206, 8444])).
% 8.03/5.71 tff(8449,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8450,plain,
% 8.03/5.71 (((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1)) <=> ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8451,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102))))),
% 8.03/5.71 inference(monotonicity,[status(thm)],[8450])).
% 8.03/5.71 tff(8452,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 8.03/5.71 inference(transitivity,[status(thm)],[8451, 8449])).
% 8.03/5.71 tff(8453,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8454,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 8.03/5.71 tff(8455,plain,
% 8.03/5.71 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8454, 892, 8448])).
% 8.03/5.71 tff(8456,plain,
% 8.03/5.71 (m_main_v_state1(s102, c_c1)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8455, 8437, 8361, 8429, 8422, 8369])).
% 8.03/5.71 tff(8457,plain,
% 8.03/5.71 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8458,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8459,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 8.03/5.71 tff(8460,plain,
% 8.03/5.71 (~m_main_v_state1(s102, c_t1)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8459, 539, 8456])).
% 8.03/5.71 tff(8461,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8462,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8463,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 8.03/5.71 tff(8464,plain,
% 8.03/5.71 (~node5(s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8463, 550, 8460])).
% 8.03/5.71 tff(8465,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8466,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8467,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 8.03/5.71 tff(8468,plain,
% 8.03/5.71 (node14(s101, s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8467, 46, 8444])).
% 8.03/5.71 tff(8469,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8470,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8471,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 8.03/5.71 tff(8472,plain,
% 8.03/5.71 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state2(s102, c_t2)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8471, 922, 8468])).
% 8.03/5.71 tff(8473,plain,
% 8.03/5.71 (m_main_v_state2(s102, c_t2)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8472, 8429, 8361])).
% 8.03/5.71 tff(8474,plain,
% 8.03/5.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8475,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8476,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 8.03/5.71 tff(8477,plain,
% 8.03/5.71 (~m_main_v_state2(s102, c_n2)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8476, 77, 8473])).
% 8.03/5.71 tff(8478,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8479,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8480,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 8.03/5.71 tff(8481,plain,
% 8.03/5.71 (~node4(s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8480, 388, 8477])).
% 8.03/5.71 tff(8482,plain,
% 8.03/5.71 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8483,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8484,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 8.03/5.71 tff(8485,plain,
% 8.03/5.71 (~m_main_v_state2(s102, c_c2)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8484, 260, 8473])).
% 8.03/5.71 tff(8486,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8487,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8488,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 8.03/5.71 tff(8489,plain,
% 8.03/5.71 (~node3(s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8488, 399, 8485])).
% 8.03/5.71 tff(8490,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8491,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8492,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 8.03/5.71 tff(8493,plain,
% 8.03/5.71 (~node2(s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8492, 410, 8477])).
% 8.03/5.71 tff(8494,plain,
% 8.03/5.71 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8495,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8496,plain,
% 8.03/5.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 8.03/5.71 tff(8497,plain,
% 8.03/5.71 (~m_main_v_state1(s102, c_n1)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8496, 454, 8456])).
% 8.03/5.71 tff(8498,plain,
% 8.03/5.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8499,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8500,plain,
% 8.03/5.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102))),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 8.03/5.71 tff(8501,plain,
% 8.03/5.71 (~node1(s102)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8500, 421, 8497])).
% 8.03/5.71 tff(8502,plain,
% 8.03/5.71 (succ(s102, s103) <=> succ(s102, s103)),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8503,axiom,(succ(s102, s103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound103')).
% 8.03/5.71 tff(8504,plain,
% 8.03/5.71 (succ(s102, s103)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 8.03/5.71 tff(8505,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8506,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8507,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8506, 8505])).
% 8.03/5.71 tff(8508,plain,
% 8.03/5.71 (trans(s102, s103)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8507, 8504, 32])).
% 8.03/5.71 tff(8509,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103))),
% 8.03/5.71 inference(rewrite,[status(thm)],[])).
% 8.03/5.71 tff(8510,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))),
% 8.03/5.71 inference(quant_inst,[status(thm)],[])).
% 8.03/5.71 tff(8511,plain,
% 8.03/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103)),
% 8.03/5.71 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 8.03/5.71 tff(8512,plain,
% 8.03/5.71 (node7(s102, s103)),
% 8.03/5.71 inference(unit_resolution,[status(thm)],[8511, 206, 8508])).
% 8.03/5.71 tff(8513,plain,
% 8.03/5.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8514,plain,
% 8.03/5.72 (((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1)) <=> (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8515,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))))),
% 8.03/5.72 inference(monotonicity,[status(thm)],[8514])).
% 8.03/5.72 tff(8516,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 8.03/5.72 inference(transitivity,[status(thm)],[8515, 8513])).
% 8.03/5.72 tff(8517,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8518,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 8.03/5.72 tff(8519,plain,
% 8.03/5.72 (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8518, 584, 8512])).
% 8.03/5.72 tff(8520,plain,
% 8.03/5.72 (m_main_v_state1(s103, c_n1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8519, 8501, 8456, 8493, 8489, 8481, 8464])).
% 8.03/5.72 tff(8521,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8522,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8523,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 8.03/5.72 tff(8524,plain,
% 8.03/5.72 (~node15(s101)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8523, 103, 8433])).
% 8.03/5.72 tff(8525,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8526,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8527,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8526, 8525])).
% 8.03/5.72 tff(8528,plain,
% 8.03/5.72 (node18(s101, s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8527, 125, 8444])).
% 8.03/5.72 tff(8529,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8530,plain,
% 8.03/5.72 (((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1)) <=> (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8531,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)))),
% 8.03/5.72 inference(monotonicity,[status(thm)],[8530])).
% 8.03/5.72 tff(8532,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 8.03/5.72 inference(transitivity,[status(thm)],[8531, 8529])).
% 8.03/5.72 tff(8533,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8534,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8533, 8532])).
% 8.03/5.72 tff(8535,plain,
% 8.03/5.72 (node15(s101) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8534, 992, 8528])).
% 8.03/5.72 tff(8536,plain,
% 8.03/5.72 (m_main_v_turn(s102, c_1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8535, 8524, 8361, 8429])).
% 8.03/5.72 tff(8537,plain,
% 8.03/5.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8538,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8539,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 8.03/5.72 tff(8540,plain,
% 8.03/5.72 (~m_main_v_turn(s102, c_2)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8539, 156, 8536])).
% 8.03/5.72 tff(8541,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8542,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8543,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 8.03/5.72 tff(8544,plain,
% 8.03/5.72 (~node12(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8543, 184, 8540])).
% 8.03/5.72 tff(8545,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8546,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8547,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 8.03/5.72 tff(8548,plain,
% 8.03/5.72 (~node8(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8547, 271, 8477])).
% 8.03/5.72 tff(8549,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8550,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8551,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 8.03/5.72 tff(8552,plain,
% 8.03/5.72 (~node9(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8551, 88, 8477])).
% 8.03/5.72 tff(8553,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8554,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8555,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 8.03/5.72 tff(8556,plain,
% 8.03/5.72 (~node10(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8555, 249, 8477])).
% 8.03/5.72 tff(8557,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8558,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8559,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 8.03/5.72 tff(8560,plain,
% 8.03/5.72 (~node11(s102)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8559, 238, 8497])).
% 8.03/5.72 tff(8561,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8562,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8563,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 8.03/5.72 tff(8564,plain,
% 8.03/5.72 (node14(s102, s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8563, 46, 8508])).
% 8.03/5.72 tff(8565,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8566,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8567,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 8.03/5.72 tff(8568,plain,
% 8.03/5.72 (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8567, 296, 8564])).
% 8.03/5.72 tff(8569,plain,
% 8.03/5.72 (node13(s102, s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8568, 8560, 8485, 8556, 8552, 8548, 8544])).
% 8.03/5.72 tff(8570,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8571,plain,
% 8.03/5.72 (((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2)) <=> ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8572,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))))),
% 8.03/5.72 inference(monotonicity,[status(thm)],[8571])).
% 8.03/5.72 tff(8573,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 8.03/5.72 inference(transitivity,[status(thm)],[8572, 8570])).
% 8.03/5.72 tff(8574,plain,
% 8.03/5.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8575,plain,
% 8.03/5.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 8.03/5.72 tff(8576,plain,
% 8.03/5.72 (m_main_v_state2(s103, c_t2)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8575, 518, 8473, 8569])).
% 8.03/5.72 tff(8577,plain,
% 8.03/5.72 (succ(s103, s104) <=> succ(s103, s104)),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8578,axiom,(succ(s103, s104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound104')).
% 8.03/5.72 tff(8579,plain,
% 8.03/5.72 (succ(s103, s104)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 8.03/5.72 tff(8580,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8581,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8582,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 8.03/5.72 tff(8583,plain,
% 8.03/5.72 (trans(s103, s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8582, 8579, 32])).
% 8.03/5.72 tff(8584,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8585,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8586,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 8.03/5.72 tff(8587,plain,
% 8.03/5.72 (node7(s103, s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8586, 206, 8583])).
% 8.03/5.72 tff(8588,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8589,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8590,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 8.03/5.72 tff(8591,plain,
% 8.03/5.72 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_state1(s104, c_t1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8590, 651, 8587])).
% 8.03/5.72 tff(8592,plain,
% 8.03/5.72 (m_main_v_state1(s104, c_t1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8591, 8576, 8520])).
% 8.03/5.72 tff(8593,plain,
% 8.03/5.72 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8594,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8595,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 8.03/5.72 tff(8596,plain,
% 8.03/5.72 (~m_main_v_state1(s104, c_n1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8595, 10, 8592])).
% 8.03/5.72 tff(8597,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8598,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8599,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 8.03/5.72 tff(8600,plain,
% 8.03/5.72 (~node1(s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8599, 421, 8596])).
% 8.03/5.72 tff(8601,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8602,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8603,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 8.03/5.72 tff(8604,plain,
% 8.03/5.72 (node18(s103, s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8603, 125, 8583])).
% 8.03/5.72 tff(8605,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8606,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8607,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2)),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 8.03/5.72 tff(8608,plain,
% 8.03/5.72 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_turn(s104, c_2)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8607, 760, 8604])).
% 8.03/5.72 tff(8609,plain,
% 8.03/5.72 (m_main_v_turn(s104, c_2)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8608, 8576, 8520])).
% 8.03/5.72 tff(8610,plain,
% 8.03/5.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8611,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8612,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 8.03/5.72 tff(8613,plain,
% 8.03/5.72 (~m_main_v_turn(s104, c_1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8612, 156, 8609])).
% 8.03/5.72 tff(8614,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8615,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8616,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 8.03/5.72 tff(8617,plain,
% 8.03/5.72 (~node5(s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8616, 776, 8613])).
% 8.03/5.72 tff(8618,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8619,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8620,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 8.03/5.72 tff(8621,plain,
% 8.03/5.72 (~node2(s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8620, 787, 8596])).
% 8.03/5.72 tff(8622,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8623,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8624,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 8.03/5.72 tff(8625,plain,
% 8.03/5.72 (~node3(s104)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8624, 798, 8596])).
% 8.03/5.72 tff(8626,plain,
% 8.03/5.72 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8627,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8628,plain,
% 8.03/5.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 8.03/5.72 tff(8629,plain,
% 8.03/5.72 (~m_main_v_state1(s104, c_c1)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8628, 539, 8592])).
% 8.03/5.72 tff(8630,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8631,plain,
% 8.03/5.72 (((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2))) <=> (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8632,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))))),
% 8.03/5.72 inference(monotonicity,[status(thm)],[8631])).
% 8.03/5.72 tff(8633,plain,
% 8.03/5.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 8.03/5.72 inference(transitivity,[status(thm)],[8632, 8630])).
% 8.03/5.72 tff(8634,plain,
% 8.03/5.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8635,plain,
% 8.03/5.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 8.03/5.72 tff(8636,plain,
% 8.03/5.72 (~m_main_v_state2(s103, c_n2)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8635, 311, 8477, 8569])).
% 8.03/5.72 tff(8637,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8638,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8639,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 8.03/5.72 tff(8640,plain,
% 8.03/5.72 (~node9(s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8639, 88, 8636])).
% 8.03/5.72 tff(8641,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8642,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8643,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 8.03/5.72 tff(8644,plain,
% 8.03/5.72 (~node10(s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8643, 249, 8636])).
% 8.03/5.72 tff(8645,plain,
% 8.03/5.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8646,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.72 tff(8647,plain,
% 8.03/5.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103))),
% 8.03/5.72 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 8.03/5.72 tff(8648,plain,
% 8.03/5.72 (~node8(s103)),
% 8.03/5.72 inference(unit_resolution,[status(thm)],[8647, 271, 8636])).
% 8.03/5.72 tff(8649,plain,
% 8.03/5.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104))),
% 8.03/5.72 inference(rewrite,[status(thm)],[])).
% 8.03/5.72 tff(8650,plain,
% 8.03/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))),
% 8.03/5.72 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8651,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 8.03/5.73 tff(8652,plain,
% 8.03/5.73 (node14(s103, s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8651, 46, 8583])).
% 8.03/5.73 tff(8653,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8654,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8655,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 8.03/5.73 tff(8656,plain,
% 8.03/5.73 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | m_main_v_state2(s104, c_c2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8655, 617, 8652])).
% 8.03/5.73 tff(8657,plain,
% 8.03/5.73 (m_main_v_state2(s104, c_c2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8656, 8648, 8520, 8576, 8644, 8640])).
% 8.03/5.73 tff(8658,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8659,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8660,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 8.03/5.73 tff(8661,plain,
% 8.03/5.73 (~m_main_v_state2(s104, c_n2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8660, 697, 8657])).
% 8.03/5.73 tff(8662,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8663,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8664,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 8.03/5.73 tff(8665,plain,
% 8.03/5.73 (~node4(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8664, 388, 8661])).
% 8.03/5.73 tff(8666,plain,
% 8.03/5.73 (succ(s104, s105) <=> succ(s104, s105)),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8667,axiom,(succ(s104, s105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound105')).
% 8.03/5.73 tff(8668,plain,
% 8.03/5.73 (succ(s104, s105)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 8.03/5.73 tff(8669,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8670,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8671,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 8.03/5.73 tff(8672,plain,
% 8.03/5.73 (trans(s104, s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8671, 8668, 32])).
% 8.03/5.73 tff(8673,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8674,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8675,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 8.03/5.73 tff(8676,plain,
% 8.03/5.73 (node7(s104, s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8675, 206, 8672])).
% 8.03/5.73 tff(8677,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8678,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8679,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 8.03/5.73 tff(8680,plain,
% 8.03/5.73 (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8679, 820, 8676])).
% 8.03/5.73 tff(8681,plain,
% 8.03/5.73 (node6(s104, s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8680, 8665, 8629, 8625, 8621, 8617, 8600])).
% 8.03/5.73 tff(8682,plain,
% 8.03/5.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8683,plain,
% 8.03/5.73 (((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1)) <=> ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8684,plain,
% 8.03/5.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))))),
% 8.03/5.73 inference(monotonicity,[status(thm)],[8683])).
% 8.03/5.73 tff(8685,plain,
% 8.03/5.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 8.03/5.73 inference(transitivity,[status(thm)],[8684, 8682])).
% 8.03/5.73 tff(8686,plain,
% 8.03/5.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8687,plain,
% 8.03/5.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 8.03/5.73 tff(8688,plain,
% 8.03/5.73 (m_main_v_state1(s105, c_t1)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8687, 856, 8592, 8681])).
% 8.03/5.73 tff(8689,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8690,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8691,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 8.03/5.73 tff(8692,plain,
% 8.03/5.73 (~m_main_v_state2(s104, c_t2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8691, 260, 8657])).
% 8.03/5.73 tff(8693,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8694,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8695,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 8.03/5.73 tff(8696,plain,
% 8.03/5.73 (~node12(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8695, 633, 8692])).
% 8.03/5.73 tff(8697,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8698,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8699,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 8.03/5.73 tff(8700,plain,
% 8.03/5.73 (~node11(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8699, 238, 8596])).
% 8.03/5.73 tff(8701,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8702,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8703,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 8.03/5.73 tff(8704,plain,
% 8.03/5.73 (~node10(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8703, 675, 8629])).
% 8.03/5.73 tff(8705,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8706,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8707,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 8.03/5.73 tff(8708,plain,
% 8.03/5.73 (~node9(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8707, 686, 8596])).
% 8.03/5.73 tff(8709,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8710,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8711,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 8.03/5.73 tff(8712,plain,
% 8.03/5.73 (~node8(s104)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8711, 271, 8661])).
% 8.03/5.73 tff(8713,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8714,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8715,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 8.03/5.73 tff(8716,plain,
% 8.03/5.73 (node14(s104, s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8715, 46, 8672])).
% 8.03/5.73 tff(8717,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8718,plain,
% 8.03/5.73 (((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2)) <=> (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8719,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))))),
% 8.03/5.73 inference(monotonicity,[status(thm)],[8718])).
% 8.03/5.73 tff(8720,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 8.03/5.73 inference(transitivity,[status(thm)],[8719, 8717])).
% 8.03/5.73 tff(8721,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8722,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 8.03/5.73 tff(8723,plain,
% 8.03/5.73 (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~m_main_v_state2(s104, c_c2))),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8722, 726, 8716])).
% 8.03/5.73 tff(8724,plain,
% 8.03/5.73 (m_main_v_state2(s105, c_n2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8723, 8712, 8657, 8708, 8704, 8700, 8696])).
% 8.03/5.73 tff(8725,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8726,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8727,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 8.03/5.73 tff(8728,plain,
% 8.03/5.73 (~m_main_v_state2(s105, c_t2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8727, 77, 8724])).
% 8.03/5.73 tff(8729,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8730,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8731,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 8.03/5.73 tff(8732,plain,
% 8.03/5.73 (~node15(s105)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8731, 103, 8728])).
% 8.03/5.73 tff(8733,plain,
% 8.03/5.73 (succ(s105, s106) <=> succ(s105, s106)),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8734,axiom,(succ(s105, s106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound106')).
% 8.03/5.73 tff(8735,plain,
% 8.03/5.73 (succ(s105, s106)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8734, 8733])).
% 8.03/5.73 tff(8736,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8737,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8738,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 8.03/5.73 tff(8739,plain,
% 8.03/5.73 (trans(s105, s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8738, 8735, 32])).
% 8.03/5.73 tff(8740,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8741,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8742,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 8.03/5.73 tff(8743,plain,
% 8.03/5.73 (node18(s105, s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8742, 125, 8739])).
% 8.03/5.73 tff(8744,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8745,plain,
% 8.03/5.73 (((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1)) <=> (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8746,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)))),
% 8.03/5.73 inference(monotonicity,[status(thm)],[8745])).
% 8.03/5.73 tff(8747,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 8.03/5.73 inference(transitivity,[status(thm)],[8746, 8744])).
% 8.03/5.73 tff(8748,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8749,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8748, 8747])).
% 8.03/5.73 tff(8750,plain,
% 8.03/5.73 (node15(s105) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8749, 992, 8743])).
% 8.03/5.73 tff(8751,plain,
% 8.03/5.73 (m_main_v_turn(s106, c_1)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8750, 8732, 8724, 8688])).
% 8.03/5.73 tff(8752,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8753,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8754,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 8.03/5.73 tff(8755,plain,
% 8.03/5.73 (~m_main_v_turn(s106, c_2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8754, 156, 8751])).
% 8.03/5.73 tff(8756,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8757,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8758,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 8.03/5.73 tff(8759,plain,
% 8.03/5.73 (~node12(s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8758, 184, 8755])).
% 8.03/5.73 tff(8760,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8761,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8762,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 8.03/5.73 tff(8763,plain,
% 8.03/5.73 (node14(s105, s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8762, 46, 8739])).
% 8.03/5.73 tff(8764,plain,
% 8.03/5.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8765,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8766,plain,
% 8.03/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2)),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 8.03/5.73 tff(8767,plain,
% 8.03/5.73 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state2(s106, c_t2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8766, 922, 8763])).
% 8.03/5.73 tff(8768,plain,
% 8.03/5.73 (m_main_v_state2(s106, c_t2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8767, 8688, 8724])).
% 8.03/5.73 tff(8769,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8770,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8771,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 8.03/5.73 tff(8772,plain,
% 8.03/5.73 (~m_main_v_state2(s106, c_n2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8771, 77, 8768])).
% 8.03/5.73 tff(8773,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8774,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8775,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 8.03/5.73 tff(8776,plain,
% 8.03/5.73 (~node8(s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8775, 271, 8772])).
% 8.03/5.73 tff(8777,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8778,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8779,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 8.03/5.73 tff(8780,plain,
% 8.03/5.73 (~node9(s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8779, 88, 8772])).
% 8.03/5.73 tff(8781,plain,
% 8.03/5.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8782,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8783,plain,
% 8.03/5.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 8.03/5.73 tff(8784,plain,
% 8.03/5.73 (~node10(s106)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8783, 249, 8772])).
% 8.03/5.73 tff(8785,plain,
% 8.03/5.73 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))),
% 8.03/5.73 inference(rewrite,[status(thm)],[])).
% 8.03/5.73 tff(8786,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))),
% 8.03/5.73 inference(quant_inst,[status(thm)],[])).
% 8.03/5.73 tff(8787,plain,
% 8.03/5.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2))),
% 8.03/5.73 inference(modus_ponens,[status(thm)],[8786, 8785])).
% 8.03/5.73 tff(8788,plain,
% 8.03/5.73 (~m_main_v_state2(s106, c_c2)),
% 8.03/5.73 inference(unit_resolution,[status(thm)],[8787, 260, 8768])).
% 8.03/5.74 tff(8789,plain,
% 8.03/5.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8790,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8791,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 8.03/5.74 tff(8792,plain,
% 8.03/5.74 (~m_main_v_state2(s105, c_c2)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8791, 697, 8724])).
% 8.03/5.74 tff(8793,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8794,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8795,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8794, 8793])).
% 8.03/5.74 tff(8796,plain,
% 8.03/5.74 (~node3(s105)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8795, 399, 8792])).
% 8.03/5.74 tff(8797,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8798,plain,
% 8.03/5.74 (((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1))) <=> (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8799,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))))),
% 8.03/5.74 inference(monotonicity,[status(thm)],[8798])).
% 8.03/5.74 tff(8800,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 8.03/5.74 inference(transitivity,[status(thm)],[8799, 8797])).
% 8.03/5.74 tff(8801,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8802,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 8.03/5.74 tff(8803,plain,
% 8.03/5.74 (~m_main_v_state1(s105, c_n1)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8802, 835, 8596, 8681])).
% 8.03/5.74 tff(8804,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8805,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8806,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 8.03/5.74 tff(8807,plain,
% 8.03/5.74 (~node2(s105)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8806, 787, 8803])).
% 8.03/5.74 tff(8808,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8809,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8810,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 8.03/5.74 tff(8811,plain,
% 8.03/5.74 (~node1(s105)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8810, 195, 8728])).
% 8.03/5.74 tff(8812,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8813,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8814,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 8.03/5.74 tff(8815,plain,
% 8.03/5.74 (node7(s105, s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8814, 206, 8739])).
% 8.03/5.74 tff(8816,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8817,plain,
% 8.03/5.74 (((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1)) <=> ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8818,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106))))),
% 8.03/5.74 inference(monotonicity,[status(thm)],[8817])).
% 8.03/5.74 tff(8819,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 8.03/5.74 inference(transitivity,[status(thm)],[8818, 8816])).
% 8.03/5.74 tff(8820,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8821,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 8.03/5.74 tff(8822,plain,
% 8.03/5.74 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8821, 892, 8815])).
% 8.03/5.74 tff(8823,plain,
% 8.03/5.74 (m_main_v_state1(s106, c_c1)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8822, 8811, 8724, 8688, 8807, 8796])).
% 8.03/5.74 tff(8824,plain,
% 8.03/5.74 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8825,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8826,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 8.03/5.74 tff(8827,plain,
% 8.03/5.74 (~m_main_v_state1(s106, c_n1)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8826, 454, 8823])).
% 8.03/5.74 tff(8828,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8829,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8830,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 8.03/5.74 tff(8831,plain,
% 8.03/5.74 (~node11(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8830, 238, 8827])).
% 8.03/5.74 tff(8832,plain,
% 8.03/5.74 (succ(s106, s107) <=> succ(s106, s107)),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8833,axiom,(succ(s106, s107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound107')).
% 8.03/5.74 tff(8834,plain,
% 8.03/5.74 (succ(s106, s107)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 8.03/5.74 tff(8835,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8836,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8837,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 8.03/5.74 tff(8838,plain,
% 8.03/5.74 (trans(s106, s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8837, 8834, 32])).
% 8.03/5.74 tff(8839,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8840,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8841,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 8.03/5.74 tff(8842,plain,
% 8.03/5.74 (node14(s106, s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8841, 46, 8838])).
% 8.03/5.74 tff(8843,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8844,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8845,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 8.03/5.74 tff(8846,plain,
% 8.03/5.74 (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8845, 296, 8842])).
% 8.03/5.74 tff(8847,plain,
% 8.03/5.74 (node13(s106, s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8846, 8831, 8788, 8784, 8780, 8776, 8759])).
% 8.03/5.74 tff(8848,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8849,plain,
% 8.03/5.74 (((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2))) <=> (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8850,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))))),
% 8.03/5.74 inference(monotonicity,[status(thm)],[8849])).
% 8.03/5.74 tff(8851,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 8.03/5.74 inference(transitivity,[status(thm)],[8850, 8848])).
% 8.03/5.74 tff(8852,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8853,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 8.03/5.74 tff(8854,plain,
% 8.03/5.74 (~m_main_v_state2(s107, c_n2)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8853, 311, 8772, 8847])).
% 8.03/5.74 tff(8855,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8856,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8857,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 8.03/5.74 tff(8858,plain,
% 8.03/5.74 (~node9(s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8857, 88, 8854])).
% 8.03/5.74 tff(8859,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8860,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8861,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 8.03/5.74 tff(8862,plain,
% 8.03/5.74 (~node10(s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8861, 249, 8854])).
% 8.03/5.74 tff(8863,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8864,plain,
% 8.03/5.74 (((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2)) <=> ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8865,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))))),
% 8.03/5.74 inference(monotonicity,[status(thm)],[8864])).
% 8.03/5.74 tff(8866,plain,
% 8.03/5.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 8.03/5.74 inference(transitivity,[status(thm)],[8865, 8863])).
% 8.03/5.74 tff(8867,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8868,plain,
% 8.03/5.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 8.03/5.74 tff(8869,plain,
% 8.03/5.74 (m_main_v_state2(s107, c_t2)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8868, 518, 8768, 8847])).
% 8.03/5.74 tff(8870,plain,
% 8.03/5.74 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8871,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8872,plain,
% 8.03/5.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 8.03/5.74 tff(8873,plain,
% 8.03/5.74 (~m_main_v_state1(s106, c_t1)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8872, 539, 8823])).
% 8.03/5.74 tff(8874,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8875,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8876,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8875, 8874])).
% 8.03/5.74 tff(8877,plain,
% 8.03/5.74 (~node5(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8876, 550, 8873])).
% 8.03/5.74 tff(8878,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8879,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8880,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 8.03/5.74 tff(8881,plain,
% 8.03/5.74 (~node4(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8880, 388, 8772])).
% 8.03/5.74 tff(8882,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8883,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8884,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8883, 8882])).
% 8.03/5.74 tff(8885,plain,
% 8.03/5.74 (~node3(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8884, 399, 8788])).
% 8.03/5.74 tff(8886,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8887,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8888,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 8.03/5.74 tff(8889,plain,
% 8.03/5.74 (~node2(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8888, 410, 8772])).
% 8.03/5.74 tff(8890,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8891,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8892,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8891, 8890])).
% 8.03/5.74 tff(8893,plain,
% 8.03/5.74 (~node1(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8892, 421, 8827])).
% 8.03/5.74 tff(8894,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8895,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8896,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 8.03/5.74 tff(8897,plain,
% 8.03/5.74 (node7(s106, s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8896, 206, 8838])).
% 8.03/5.74 tff(8898,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8899,plain,
% 8.03/5.74 (((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1)) <=> (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8900,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))))),
% 8.03/5.74 inference(monotonicity,[status(thm)],[8899])).
% 8.03/5.74 tff(8901,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 8.03/5.74 inference(transitivity,[status(thm)],[8900, 8898])).
% 8.03/5.74 tff(8902,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8903,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 8.03/5.74 tff(8904,plain,
% 8.03/5.74 (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8903, 584, 8897])).
% 8.03/5.74 tff(8905,plain,
% 8.03/5.74 (m_main_v_state1(s107, c_n1)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8904, 8893, 8823, 8889, 8885, 8881, 8877])).
% 8.03/5.74 tff(8906,plain,
% 8.03/5.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8907,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8908,plain,
% 8.03/5.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107))),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 8.03/5.74 tff(8909,plain,
% 8.03/5.74 (~node8(s107)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8908, 271, 8854])).
% 8.03/5.74 tff(8910,plain,
% 8.03/5.74 (succ(s107, s108) <=> succ(s107, s108)),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8911,axiom,(succ(s107, s108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound108')).
% 8.03/5.74 tff(8912,plain,
% 8.03/5.74 (succ(s107, s108)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 8.03/5.74 tff(8913,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8914,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8915,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 8.03/5.74 tff(8916,plain,
% 8.03/5.74 (trans(s107, s108)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8915, 8912, 32])).
% 8.03/5.74 tff(8917,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108))),
% 8.03/5.74 inference(rewrite,[status(thm)],[])).
% 8.03/5.74 tff(8918,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))),
% 8.03/5.74 inference(quant_inst,[status(thm)],[])).
% 8.03/5.74 tff(8919,plain,
% 8.03/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108)),
% 8.03/5.74 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 8.03/5.74 tff(8920,plain,
% 8.03/5.74 (node14(s107, s108)),
% 8.03/5.74 inference(unit_resolution,[status(thm)],[8919, 46, 8916])).
% 8.03/5.74 tff(8921,plain,
% 8.03/5.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8922,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8923,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8922, 8921])).
% 8.03/5.75 tff(8924,plain,
% 8.03/5.75 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | m_main_v_state2(s108, c_c2)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8923, 617, 8920])).
% 8.03/5.75 tff(8925,plain,
% 8.03/5.75 (m_main_v_state2(s108, c_c2)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8924, 8909, 8905, 8869, 8862, 8858])).
% 8.03/5.75 tff(8926,plain,
% 8.03/5.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8927,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8928,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 8.03/5.75 tff(8929,plain,
% 8.03/5.75 (~m_main_v_state2(s108, c_t2)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8928, 260, 8925])).
% 8.03/5.75 tff(8930,plain,
% 8.03/5.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8931,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8932,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 8.03/5.75 tff(8933,plain,
% 8.03/5.75 (~node12(s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8932, 633, 8929])).
% 8.03/5.75 tff(8934,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8935,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8936,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8935, 8934])).
% 8.03/5.75 tff(8937,plain,
% 8.03/5.75 (node7(s107, s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8936, 206, 8916])).
% 8.03/5.75 tff(8938,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8939,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8940,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 8.03/5.75 tff(8941,plain,
% 8.03/5.75 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_state1(s108, c_t1)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8940, 651, 8937])).
% 8.03/5.75 tff(8942,plain,
% 8.03/5.75 (m_main_v_state1(s108, c_t1)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8941, 8869, 8905])).
% 8.03/5.75 tff(8943,plain,
% 8.03/5.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8944,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8945,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 8.03/5.75 tff(8946,plain,
% 8.03/5.75 (~m_main_v_state1(s108, c_n1)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8945, 10, 8942])).
% 8.03/5.75 tff(8947,plain,
% 8.03/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8948,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8949,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 8.03/5.75 tff(8950,plain,
% 8.03/5.75 (~node11(s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8949, 238, 8946])).
% 8.03/5.75 tff(8951,plain,
% 8.03/5.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8952,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8953,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 8.03/5.75 tff(8954,plain,
% 8.03/5.75 (~m_main_v_state1(s108, c_c1)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8953, 539, 8942])).
% 8.03/5.75 tff(8955,plain,
% 8.03/5.75 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8956,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8957,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 8.03/5.75 tff(8958,plain,
% 8.03/5.75 (~node10(s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8957, 675, 8954])).
% 8.03/5.75 tff(8959,plain,
% 8.03/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8960,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8961,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 8.03/5.75 tff(8962,plain,
% 8.03/5.75 (~node9(s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8961, 686, 8946])).
% 8.03/5.75 tff(8963,plain,
% 8.03/5.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8964,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8965,plain,
% 8.03/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 8.03/5.75 tff(8966,plain,
% 8.03/5.75 (~m_main_v_state2(s108, c_n2)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8965, 697, 8925])).
% 8.03/5.75 tff(8967,plain,
% 8.03/5.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8968,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8969,plain,
% 8.03/5.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 8.03/5.75 tff(8970,plain,
% 8.03/5.75 (~node8(s108)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8969, 271, 8966])).
% 8.03/5.75 tff(8971,plain,
% 8.03/5.75 (succ(s108, s109) <=> succ(s108, s109)),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8972,axiom,(succ(s108, s109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound109')).
% 8.03/5.75 tff(8973,plain,
% 8.03/5.75 (succ(s108, s109)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 8.03/5.75 tff(8974,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8975,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8976,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 8.03/5.75 tff(8977,plain,
% 8.03/5.75 (trans(s108, s109)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8976, 8973, 32])).
% 8.03/5.75 tff(8978,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8979,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8980,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109)),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 8.03/5.75 tff(8981,plain,
% 8.03/5.75 (node14(s108, s109)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8980, 46, 8977])).
% 8.03/5.75 tff(8982,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8983,plain,
% 8.03/5.75 (((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2)) <=> (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(rewrite,[status(thm)],[])).
% 8.03/5.75 tff(8984,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))))),
% 8.03/5.75 inference(monotonicity,[status(thm)],[8983])).
% 8.03/5.75 tff(8985,plain,
% 8.03/5.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 8.03/5.75 inference(transitivity,[status(thm)],[8984, 8982])).
% 8.03/5.75 tff(8986,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))),
% 8.03/5.75 inference(quant_inst,[status(thm)],[])).
% 8.03/5.75 tff(8987,plain,
% 8.03/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 8.03/5.75 tff(8988,plain,
% 8.03/5.75 (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~m_main_v_state2(s108, c_c2))),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8987, 726, 8981])).
% 8.03/5.75 tff(8989,plain,
% 8.03/5.75 (m_main_v_state2(s109, c_n2)),
% 8.03/5.75 inference(unit_resolution,[status(thm)],[8988, 8970, 8925, 8962, 8958, 8950, 8933])).
% 8.03/5.75 tff(8990,plain,
% 8.03/5.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(8991,plain,
% 8.12/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(8992,plain,
% 8.12/5.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 8.12/5.75 tff(8993,plain,
% 8.12/5.75 (~m_main_v_state2(s109, c_c2)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[8992, 697, 8989])).
% 8.12/5.75 tff(8994,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(8995,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(8996,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 8.12/5.75 tff(8997,plain,
% 8.12/5.75 (~node3(s109)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[8996, 399, 8993])).
% 8.12/5.75 tff(8998,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(8999,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9000,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 8.12/5.75 tff(9001,plain,
% 8.12/5.75 (~node1(s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9000, 421, 8946])).
% 8.12/5.75 tff(9002,plain,
% 8.12/5.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9003,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9004,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108)),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 8.12/5.75 tff(9005,plain,
% 8.12/5.75 (node18(s107, s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9004, 125, 8916])).
% 8.12/5.75 tff(9006,plain,
% 8.12/5.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9007,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9008,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2)),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 8.12/5.75 tff(9009,plain,
% 8.12/5.75 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_turn(s108, c_2)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9008, 760, 9005])).
% 8.12/5.75 tff(9010,plain,
% 8.12/5.75 (m_main_v_turn(s108, c_2)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9009, 8869, 8905])).
% 8.12/5.75 tff(9011,plain,
% 8.12/5.75 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9012,plain,
% 8.12/5.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9013,plain,
% 8.12/5.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 8.12/5.75 tff(9014,plain,
% 8.12/5.75 (~m_main_v_turn(s108, c_1)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9013, 156, 9010])).
% 8.12/5.75 tff(9015,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9016,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9017,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 8.12/5.75 tff(9018,plain,
% 8.12/5.75 (~node5(s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9017, 776, 9014])).
% 8.12/5.75 tff(9019,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9020,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9021,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 8.12/5.75 tff(9022,plain,
% 8.12/5.75 (~node2(s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9021, 787, 8946])).
% 8.12/5.75 tff(9023,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9024,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9025,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 8.12/5.75 tff(9026,plain,
% 8.12/5.75 (~node3(s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9025, 798, 8946])).
% 8.12/5.75 tff(9027,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9028,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9029,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 8.12/5.75 tff(9030,plain,
% 8.12/5.75 (~node4(s108)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9029, 388, 8966])).
% 8.12/5.75 tff(9031,plain,
% 8.12/5.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9032,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9033,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109)),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 8.12/5.75 tff(9034,plain,
% 8.12/5.75 (node7(s108, s109)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9033, 206, 8977])).
% 8.12/5.75 tff(9035,plain,
% 8.12/5.75 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9036,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9037,plain,
% 8.12/5.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 8.12/5.75 tff(9038,plain,
% 8.12/5.75 (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9037, 820, 9034])).
% 8.12/5.75 tff(9039,plain,
% 8.12/5.75 (node6(s108, s109)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9038, 9030, 8954, 9026, 9022, 9018, 9001])).
% 8.12/5.75 tff(9040,plain,
% 8.12/5.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9041,plain,
% 8.12/5.75 (((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1))) <=> (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9042,plain,
% 8.12/5.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))))),
% 8.12/5.75 inference(monotonicity,[status(thm)],[9041])).
% 8.12/5.75 tff(9043,plain,
% 8.12/5.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 8.12/5.75 inference(transitivity,[status(thm)],[9042, 9040])).
% 8.12/5.75 tff(9044,plain,
% 8.12/5.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9045,plain,
% 8.12/5.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 8.12/5.75 tff(9046,plain,
% 8.12/5.75 (~m_main_v_state1(s109, c_n1)),
% 8.12/5.75 inference(unit_resolution,[status(thm)],[9045, 835, 8946, 9039])).
% 8.12/5.75 tff(9047,plain,
% 8.12/5.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 8.12/5.75 inference(rewrite,[status(thm)],[])).
% 8.12/5.75 tff(9048,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 8.12/5.75 inference(quant_inst,[status(thm)],[])).
% 8.12/5.75 tff(9049,plain,
% 8.12/5.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109))),
% 8.12/5.75 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 8.12/5.76 tff(9050,plain,
% 8.12/5.76 (~node2(s109)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9049, 787, 9046])).
% 8.12/5.76 tff(9051,plain,
% 8.12/5.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9052,plain,
% 8.12/5.76 (((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1)) <=> ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9053,plain,
% 8.12/5.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))))),
% 8.12/5.76 inference(monotonicity,[status(thm)],[9052])).
% 8.12/5.76 tff(9054,plain,
% 8.12/5.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 8.12/5.76 inference(transitivity,[status(thm)],[9053, 9051])).
% 8.12/5.76 tff(9055,plain,
% 8.12/5.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9056,plain,
% 8.12/5.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9055, 9054])).
% 8.12/5.76 tff(9057,plain,
% 8.12/5.76 (m_main_v_state1(s109, c_t1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9056, 856, 8942, 9039])).
% 8.12/5.76 tff(9058,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9059,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9060,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9059, 9058])).
% 8.12/5.76 tff(9061,plain,
% 8.12/5.76 (~m_main_v_state2(s109, c_t2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9060, 77, 8989])).
% 8.12/5.76 tff(9062,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9063,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9064,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9063, 9062])).
% 8.12/5.76 tff(9065,plain,
% 8.12/5.76 (~node1(s109)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9064, 195, 9061])).
% 8.12/5.76 tff(9066,plain,
% 8.12/5.76 (succ(s109, s110) <=> succ(s109, s110)),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9067,axiom,(succ(s109, s110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound110')).
% 8.12/5.76 tff(9068,plain,
% 8.12/5.76 (succ(s109, s110)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 8.12/5.76 tff(9069,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9070,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9071,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 8.12/5.76 tff(9072,plain,
% 8.12/5.76 (trans(s109, s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9071, 9068, 32])).
% 8.12/5.76 tff(9073,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9074,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9075,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 8.12/5.76 tff(9076,plain,
% 8.12/5.76 (node7(s109, s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9075, 206, 9072])).
% 8.12/5.76 tff(9077,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9078,plain,
% 8.12/5.76 (((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1)) <=> ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9079,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110))))),
% 8.12/5.76 inference(monotonicity,[status(thm)],[9078])).
% 8.12/5.76 tff(9080,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 8.12/5.76 inference(transitivity,[status(thm)],[9079, 9077])).
% 8.12/5.76 tff(9081,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9082,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9081, 9080])).
% 8.12/5.76 tff(9083,plain,
% 8.12/5.76 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9082, 892, 9076])).
% 8.12/5.76 tff(9084,plain,
% 8.12/5.76 (m_main_v_state1(s110, c_c1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9083, 9065, 8989, 9057, 9050, 8997])).
% 8.12/5.76 tff(9085,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9086,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9087,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 8.12/5.76 tff(9088,plain,
% 8.12/5.76 (~m_main_v_state1(s110, c_t1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9087, 539, 9084])).
% 8.12/5.76 tff(9089,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9090,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9091,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 8.12/5.76 tff(9092,plain,
% 8.12/5.76 (~node5(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9091, 550, 9088])).
% 8.12/5.76 tff(9093,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9094,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9095,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 8.12/5.76 tff(9096,plain,
% 8.12/5.76 (node14(s109, s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9095, 46, 9072])).
% 8.12/5.76 tff(9097,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9098,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9099,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 8.12/5.76 tff(9100,plain,
% 8.12/5.76 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state2(s110, c_t2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9099, 922, 9096])).
% 8.12/5.76 tff(9101,plain,
% 8.12/5.76 (m_main_v_state2(s110, c_t2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9100, 9057, 8989])).
% 8.12/5.76 tff(9102,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9103,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9104,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 8.12/5.76 tff(9105,plain,
% 8.12/5.76 (~m_main_v_state2(s110, c_n2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9104, 77, 9101])).
% 8.12/5.76 tff(9106,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9107,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9108,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 8.12/5.76 tff(9109,plain,
% 8.12/5.76 (~node4(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9108, 388, 9105])).
% 8.12/5.76 tff(9110,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9111,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9112,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 8.12/5.76 tff(9113,plain,
% 8.12/5.76 (~m_main_v_state2(s110, c_c2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9112, 260, 9101])).
% 8.12/5.76 tff(9114,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9115,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9116,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 8.12/5.76 tff(9117,plain,
% 8.12/5.76 (~node3(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9116, 399, 9113])).
% 8.12/5.76 tff(9118,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9119,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9120,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 8.12/5.76 tff(9121,plain,
% 8.12/5.76 (~node2(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9120, 410, 9105])).
% 8.12/5.76 tff(9122,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9123,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9124,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 8.12/5.76 tff(9125,plain,
% 8.12/5.76 (~m_main_v_state1(s110, c_n1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9124, 454, 9084])).
% 8.12/5.76 tff(9126,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9127,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9128,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 8.12/5.76 tff(9129,plain,
% 8.12/5.76 (~node1(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9128, 421, 9125])).
% 8.12/5.76 tff(9130,plain,
% 8.12/5.76 (succ(s110, s111) <=> succ(s110, s111)),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9131,axiom,(succ(s110, s111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound111')).
% 8.12/5.76 tff(9132,plain,
% 8.12/5.76 (succ(s110, s111)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 8.12/5.76 tff(9133,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9134,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9135,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 8.12/5.76 tff(9136,plain,
% 8.12/5.76 (trans(s110, s111)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9135, 9132, 32])).
% 8.12/5.76 tff(9137,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9138,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9139,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 8.12/5.76 tff(9140,plain,
% 8.12/5.76 (node7(s110, s111)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9139, 206, 9136])).
% 8.12/5.76 tff(9141,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9142,plain,
% 8.12/5.76 (((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1)) <=> (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9143,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))))),
% 8.12/5.76 inference(monotonicity,[status(thm)],[9142])).
% 8.12/5.76 tff(9144,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 8.12/5.76 inference(transitivity,[status(thm)],[9143, 9141])).
% 8.12/5.76 tff(9145,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9146,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 8.12/5.76 tff(9147,plain,
% 8.12/5.76 (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9146, 584, 9140])).
% 8.12/5.76 tff(9148,plain,
% 8.12/5.76 (m_main_v_state1(s111, c_n1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9147, 9129, 9084, 9121, 9117, 9109, 9092])).
% 8.12/5.76 tff(9149,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9150,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9151,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 8.12/5.76 tff(9152,plain,
% 8.12/5.76 (~node15(s109)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9151, 103, 9061])).
% 8.12/5.76 tff(9153,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9154,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9155,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 8.12/5.76 tff(9156,plain,
% 8.12/5.76 (node18(s109, s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9155, 125, 9072])).
% 8.12/5.76 tff(9157,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9158,plain,
% 8.12/5.76 (((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1)) <=> (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9159,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)))),
% 8.12/5.76 inference(monotonicity,[status(thm)],[9158])).
% 8.12/5.76 tff(9160,plain,
% 8.12/5.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 8.12/5.76 inference(transitivity,[status(thm)],[9159, 9157])).
% 8.12/5.76 tff(9161,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9162,plain,
% 8.12/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 8.12/5.76 tff(9163,plain,
% 8.12/5.76 (node15(s109) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9162, 992, 9156])).
% 8.12/5.76 tff(9164,plain,
% 8.12/5.76 (m_main_v_turn(s110, c_1)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9163, 9152, 8989, 9057])).
% 8.12/5.76 tff(9165,plain,
% 8.12/5.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9166,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9167,plain,
% 8.12/5.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 8.12/5.76 tff(9168,plain,
% 8.12/5.76 (~m_main_v_turn(s110, c_2)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9167, 156, 9164])).
% 8.12/5.76 tff(9169,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9170,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9171,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 8.12/5.76 tff(9172,plain,
% 8.12/5.76 (~node12(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9171, 184, 9168])).
% 8.12/5.76 tff(9173,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9174,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9175,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110))),
% 8.12/5.76 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 8.12/5.76 tff(9176,plain,
% 8.12/5.76 (~node8(s110)),
% 8.12/5.76 inference(unit_resolution,[status(thm)],[9175, 271, 9105])).
% 8.12/5.76 tff(9177,plain,
% 8.12/5.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 8.12/5.76 inference(rewrite,[status(thm)],[])).
% 8.12/5.76 tff(9178,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 8.12/5.76 inference(quant_inst,[status(thm)],[])).
% 8.12/5.76 tff(9179,plain,
% 8.12/5.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 8.12/5.77 tff(9180,plain,
% 8.12/5.77 (~node9(s110)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9179, 88, 9105])).
% 8.12/5.77 tff(9181,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9182,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9183,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 8.12/5.77 tff(9184,plain,
% 8.12/5.77 (~node10(s110)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9183, 249, 9105])).
% 8.12/5.77 tff(9185,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9186,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9187,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 8.12/5.77 tff(9188,plain,
% 8.12/5.77 (~node11(s110)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9187, 238, 9125])).
% 8.12/5.77 tff(9189,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9190,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9191,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 8.12/5.77 tff(9192,plain,
% 8.12/5.77 (node14(s110, s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9191, 46, 9136])).
% 8.12/5.77 tff(9193,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9194,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9195,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 8.12/5.77 tff(9196,plain,
% 8.12/5.77 (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9195, 296, 9192])).
% 8.12/5.77 tff(9197,plain,
% 8.12/5.77 (node13(s110, s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9196, 9188, 9113, 9184, 9180, 9176, 9172])).
% 8.12/5.77 tff(9198,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9199,plain,
% 8.12/5.77 (((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2)) <=> ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9200,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))))),
% 8.12/5.77 inference(monotonicity,[status(thm)],[9199])).
% 8.12/5.77 tff(9201,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 8.12/5.77 inference(transitivity,[status(thm)],[9200, 9198])).
% 8.12/5.77 tff(9202,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9203,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 8.12/5.77 tff(9204,plain,
% 8.12/5.77 (m_main_v_state2(s111, c_t2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9203, 518, 9101, 9197])).
% 8.12/5.77 tff(9205,plain,
% 8.12/5.77 (succ(s111, s112) <=> succ(s111, s112)),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9206,axiom,(succ(s111, s112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound112')).
% 8.12/5.77 tff(9207,plain,
% 8.12/5.77 (succ(s111, s112)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 8.12/5.77 tff(9208,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9209,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9210,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 8.12/5.77 tff(9211,plain,
% 8.12/5.77 (trans(s111, s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9210, 9207, 32])).
% 8.12/5.77 tff(9212,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9213,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9214,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 8.12/5.77 tff(9215,plain,
% 8.12/5.77 (node7(s111, s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9214, 206, 9211])).
% 8.12/5.77 tff(9216,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9217,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9218,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 8.12/5.77 tff(9219,plain,
% 8.12/5.77 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_state1(s112, c_t1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9218, 651, 9215])).
% 8.12/5.77 tff(9220,plain,
% 8.12/5.77 (m_main_v_state1(s112, c_t1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9219, 9204, 9148])).
% 8.12/5.77 tff(9221,plain,
% 8.12/5.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9222,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9223,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 8.12/5.77 tff(9224,plain,
% 8.12/5.77 (~m_main_v_state1(s112, c_n1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9223, 10, 9220])).
% 8.12/5.77 tff(9225,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9226,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9227,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 8.12/5.77 tff(9228,plain,
% 8.12/5.77 (~node1(s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9227, 421, 9224])).
% 8.12/5.77 tff(9229,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9230,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9231,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 8.12/5.77 tff(9232,plain,
% 8.12/5.77 (node18(s111, s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9231, 125, 9211])).
% 8.12/5.77 tff(9233,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9234,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9235,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 8.12/5.77 tff(9236,plain,
% 8.12/5.77 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_turn(s112, c_2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9235, 760, 9232])).
% 8.12/5.77 tff(9237,plain,
% 8.12/5.77 (m_main_v_turn(s112, c_2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9236, 9204, 9148])).
% 8.12/5.77 tff(9238,plain,
% 8.12/5.77 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9239,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9240,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 8.12/5.77 tff(9241,plain,
% 8.12/5.77 (~m_main_v_turn(s112, c_1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9240, 156, 9237])).
% 8.12/5.77 tff(9242,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9243,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9244,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 8.12/5.77 tff(9245,plain,
% 8.12/5.77 (~node5(s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9244, 776, 9241])).
% 8.12/5.77 tff(9246,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9247,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9248,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 8.12/5.77 tff(9249,plain,
% 8.12/5.77 (~node2(s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9248, 787, 9224])).
% 8.12/5.77 tff(9250,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9251,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9252,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9251, 9250])).
% 8.12/5.77 tff(9253,plain,
% 8.12/5.77 (~node3(s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9252, 798, 9224])).
% 8.12/5.77 tff(9254,plain,
% 8.12/5.77 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9255,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9256,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 8.12/5.77 tff(9257,plain,
% 8.12/5.77 (~m_main_v_state1(s112, c_c1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9256, 539, 9220])).
% 8.12/5.77 tff(9258,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9259,plain,
% 8.12/5.77 (((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2))) <=> (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9260,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))))),
% 8.12/5.77 inference(monotonicity,[status(thm)],[9259])).
% 8.12/5.77 tff(9261,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 8.12/5.77 inference(transitivity,[status(thm)],[9260, 9258])).
% 8.12/5.77 tff(9262,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9263,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 8.12/5.77 tff(9264,plain,
% 8.12/5.77 (~m_main_v_state2(s111, c_n2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9263, 311, 9105, 9197])).
% 8.12/5.77 tff(9265,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9266,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9267,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 8.12/5.77 tff(9268,plain,
% 8.12/5.77 (~node9(s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9267, 88, 9264])).
% 8.12/5.77 tff(9269,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9270,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9271,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 8.12/5.77 tff(9272,plain,
% 8.12/5.77 (~node10(s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9271, 249, 9264])).
% 8.12/5.77 tff(9273,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9274,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9275,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 8.12/5.77 tff(9276,plain,
% 8.12/5.77 (~node8(s111)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9275, 271, 9264])).
% 8.12/5.77 tff(9277,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9278,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9279,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 8.12/5.77 tff(9280,plain,
% 8.12/5.77 (node14(s111, s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9279, 46, 9211])).
% 8.12/5.77 tff(9281,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9282,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9283,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 8.12/5.77 tff(9284,plain,
% 8.12/5.77 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | m_main_v_state2(s112, c_c2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9283, 617, 9280])).
% 8.12/5.77 tff(9285,plain,
% 8.12/5.77 (m_main_v_state2(s112, c_c2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9284, 9276, 9148, 9204, 9272, 9268])).
% 8.12/5.77 tff(9286,plain,
% 8.12/5.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9287,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9288,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 8.12/5.77 tff(9289,plain,
% 8.12/5.77 (~m_main_v_state2(s112, c_n2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9288, 697, 9285])).
% 8.12/5.77 tff(9290,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9291,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9292,plain,
% 8.12/5.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 8.12/5.77 tff(9293,plain,
% 8.12/5.77 (~node4(s112)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9292, 388, 9289])).
% 8.12/5.77 tff(9294,plain,
% 8.12/5.77 (succ(s112, s113) <=> succ(s112, s113)),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9295,axiom,(succ(s112, s113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound113')).
% 8.12/5.77 tff(9296,plain,
% 8.12/5.77 (succ(s112, s113)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 8.12/5.77 tff(9297,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9298,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9299,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 8.12/5.77 tff(9300,plain,
% 8.12/5.77 (trans(s112, s113)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9299, 9296, 32])).
% 8.12/5.77 tff(9301,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9302,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9303,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113)),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 8.12/5.77 tff(9304,plain,
% 8.12/5.77 (node7(s112, s113)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9303, 206, 9300])).
% 8.12/5.77 tff(9305,plain,
% 8.12/5.77 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9306,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9307,plain,
% 8.12/5.77 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 8.12/5.77 tff(9308,plain,
% 8.12/5.77 (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9307, 820, 9304])).
% 8.12/5.77 tff(9309,plain,
% 8.12/5.77 (node6(s112, s113)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9308, 9293, 9257, 9253, 9249, 9245, 9228])).
% 8.12/5.77 tff(9310,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9311,plain,
% 8.12/5.77 (((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1)) <=> ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9312,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))))),
% 8.12/5.77 inference(monotonicity,[status(thm)],[9311])).
% 8.12/5.77 tff(9313,plain,
% 8.12/5.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 8.12/5.77 inference(transitivity,[status(thm)],[9312, 9310])).
% 8.12/5.77 tff(9314,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9315,plain,
% 8.12/5.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 8.12/5.77 tff(9316,plain,
% 8.12/5.77 (m_main_v_state1(s113, c_t1)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9315, 856, 9220, 9309])).
% 8.12/5.77 tff(9317,plain,
% 8.12/5.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.77 tff(9318,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.77 inference(quant_inst,[status(thm)],[])).
% 8.12/5.77 tff(9319,plain,
% 8.12/5.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2))),
% 8.12/5.77 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 8.12/5.77 tff(9320,plain,
% 8.12/5.77 (~m_main_v_state2(s112, c_t2)),
% 8.12/5.77 inference(unit_resolution,[status(thm)],[9319, 260, 9285])).
% 8.12/5.77 tff(9321,plain,
% 8.12/5.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 8.12/5.77 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9322,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9323,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 8.12/5.78 tff(9324,plain,
% 8.12/5.78 (~node12(s112)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9323, 633, 9320])).
% 8.12/5.78 tff(9325,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9326,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9327,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 8.12/5.78 tff(9328,plain,
% 8.12/5.78 (~node11(s112)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9327, 238, 9224])).
% 8.12/5.78 tff(9329,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9330,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9331,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 8.12/5.78 tff(9332,plain,
% 8.12/5.78 (~node10(s112)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9331, 675, 9257])).
% 8.12/5.78 tff(9333,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9334,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9335,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 8.12/5.78 tff(9336,plain,
% 8.12/5.78 (~node9(s112)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9335, 686, 9224])).
% 8.12/5.78 tff(9337,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9338,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9339,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 8.12/5.78 tff(9340,plain,
% 8.12/5.78 (~node8(s112)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9339, 271, 9289])).
% 8.12/5.78 tff(9341,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9342,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9343,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 8.12/5.78 tff(9344,plain,
% 8.12/5.78 (node14(s112, s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9343, 46, 9300])).
% 8.12/5.78 tff(9345,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9346,plain,
% 8.12/5.78 (((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2)) <=> (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9347,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))))),
% 8.12/5.78 inference(monotonicity,[status(thm)],[9346])).
% 8.12/5.78 tff(9348,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 8.12/5.78 inference(transitivity,[status(thm)],[9347, 9345])).
% 8.12/5.78 tff(9349,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9350,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 8.12/5.78 tff(9351,plain,
% 8.12/5.78 (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~m_main_v_state2(s112, c_c2))),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9350, 726, 9344])).
% 8.12/5.78 tff(9352,plain,
% 8.12/5.78 (m_main_v_state2(s113, c_n2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9351, 9340, 9285, 9336, 9332, 9328, 9324])).
% 8.12/5.78 tff(9353,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9354,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9355,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 8.12/5.78 tff(9356,plain,
% 8.12/5.78 (~m_main_v_state2(s113, c_t2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9355, 77, 9352])).
% 8.12/5.78 tff(9357,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9358,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9359,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 8.12/5.78 tff(9360,plain,
% 8.12/5.78 (~node15(s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9359, 103, 9356])).
% 8.12/5.78 tff(9361,plain,
% 8.12/5.78 (succ(s113, s114) <=> succ(s113, s114)),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9362,axiom,(succ(s113, s114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound114')).
% 8.12/5.78 tff(9363,plain,
% 8.12/5.78 (succ(s113, s114)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 8.12/5.78 tff(9364,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9365,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9366,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 8.12/5.78 tff(9367,plain,
% 8.12/5.78 (trans(s113, s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9366, 9363, 32])).
% 8.12/5.78 tff(9368,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9369,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9370,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 8.12/5.78 tff(9371,plain,
% 8.12/5.78 (node18(s113, s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9370, 125, 9367])).
% 8.12/5.78 tff(9372,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9373,plain,
% 8.12/5.78 (((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1)) <=> (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9374,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)))),
% 8.12/5.78 inference(monotonicity,[status(thm)],[9373])).
% 8.12/5.78 tff(9375,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 8.12/5.78 inference(transitivity,[status(thm)],[9374, 9372])).
% 8.12/5.78 tff(9376,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9377,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 8.12/5.78 tff(9378,plain,
% 8.12/5.78 (node15(s113) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9377, 992, 9371])).
% 8.12/5.78 tff(9379,plain,
% 8.12/5.78 (m_main_v_turn(s114, c_1)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9378, 9360, 9352, 9316])).
% 8.12/5.78 tff(9380,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9381,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9382,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 8.12/5.78 tff(9383,plain,
% 8.12/5.78 (~m_main_v_turn(s114, c_2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9382, 156, 9379])).
% 8.12/5.78 tff(9384,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9385,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9386,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 8.12/5.78 tff(9387,plain,
% 8.12/5.78 (~node12(s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9386, 184, 9383])).
% 8.12/5.78 tff(9388,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9389,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9390,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 8.12/5.78 tff(9391,plain,
% 8.12/5.78 (node14(s113, s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9390, 46, 9367])).
% 8.12/5.78 tff(9392,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9393,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9394,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 8.12/5.78 tff(9395,plain,
% 8.12/5.78 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state2(s114, c_t2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9394, 922, 9391])).
% 8.12/5.78 tff(9396,plain,
% 8.12/5.78 (m_main_v_state2(s114, c_t2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9395, 9316, 9352])).
% 8.12/5.78 tff(9397,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9398,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9399,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 8.12/5.78 tff(9400,plain,
% 8.12/5.78 (~m_main_v_state2(s114, c_n2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9399, 77, 9396])).
% 8.12/5.78 tff(9401,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9402,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9403,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 8.12/5.78 tff(9404,plain,
% 8.12/5.78 (~node8(s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9403, 271, 9400])).
% 8.12/5.78 tff(9405,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9406,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9407,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 8.12/5.78 tff(9408,plain,
% 8.12/5.78 (~node9(s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9407, 88, 9400])).
% 8.12/5.78 tff(9409,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9410,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9411,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9410, 9409])).
% 8.12/5.78 tff(9412,plain,
% 8.12/5.78 (~node10(s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9411, 249, 9400])).
% 8.12/5.78 tff(9413,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9414,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9415,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 8.12/5.78 tff(9416,plain,
% 8.12/5.78 (~m_main_v_state2(s114, c_c2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9415, 260, 9396])).
% 8.12/5.78 tff(9417,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9418,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9419,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9418, 9417])).
% 8.12/5.78 tff(9420,plain,
% 8.12/5.78 (~m_main_v_state2(s113, c_c2)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9419, 697, 9352])).
% 8.12/5.78 tff(9421,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9422,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9423,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 8.12/5.78 tff(9424,plain,
% 8.12/5.78 (~node3(s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9423, 399, 9420])).
% 8.12/5.78 tff(9425,plain,
% 8.12/5.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9426,plain,
% 8.12/5.78 (((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1))) <=> (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9427,plain,
% 8.12/5.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))))),
% 8.12/5.78 inference(monotonicity,[status(thm)],[9426])).
% 8.12/5.78 tff(9428,plain,
% 8.12/5.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 8.12/5.78 inference(transitivity,[status(thm)],[9427, 9425])).
% 8.12/5.78 tff(9429,plain,
% 8.12/5.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9430,plain,
% 8.12/5.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 8.12/5.78 tff(9431,plain,
% 8.12/5.78 (~m_main_v_state1(s113, c_n1)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9430, 835, 9224, 9309])).
% 8.12/5.78 tff(9432,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9433,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9434,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 8.12/5.78 tff(9435,plain,
% 8.12/5.78 (~node2(s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9434, 787, 9431])).
% 8.12/5.78 tff(9436,plain,
% 8.12/5.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9437,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9438,plain,
% 8.12/5.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 8.12/5.78 tff(9439,plain,
% 8.12/5.78 (~node1(s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9438, 195, 9356])).
% 8.12/5.78 tff(9440,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9441,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9442,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114)),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 8.12/5.78 tff(9443,plain,
% 8.12/5.78 (node7(s113, s114)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9442, 206, 9367])).
% 8.12/5.78 tff(9444,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9445,plain,
% 8.12/5.78 (((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1)) <=> ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9446,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114))))),
% 8.12/5.78 inference(monotonicity,[status(thm)],[9445])).
% 8.12/5.78 tff(9447,plain,
% 8.12/5.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 8.12/5.78 inference(transitivity,[status(thm)],[9446, 9444])).
% 8.12/5.78 tff(9448,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9449,plain,
% 8.12/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 8.12/5.78 tff(9450,plain,
% 8.12/5.78 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9449, 892, 9443])).
% 8.12/5.78 tff(9451,plain,
% 8.12/5.78 (m_main_v_state1(s114, c_c1)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9450, 9439, 9352, 9316, 9435, 9424])).
% 8.12/5.78 tff(9452,plain,
% 8.12/5.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))),
% 8.12/5.78 inference(rewrite,[status(thm)],[])).
% 8.12/5.78 tff(9453,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))),
% 8.12/5.78 inference(quant_inst,[status(thm)],[])).
% 8.12/5.78 tff(9454,plain,
% 8.12/5.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1))),
% 8.12/5.78 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 8.12/5.78 tff(9455,plain,
% 8.12/5.78 (~m_main_v_state1(s114, c_n1)),
% 8.12/5.78 inference(unit_resolution,[status(thm)],[9454, 454, 9451])).
% 8.12/5.79 tff(9456,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9457,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9458,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 8.12/5.79 tff(9459,plain,
% 8.12/5.79 (~node11(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9458, 238, 9455])).
% 8.12/5.79 tff(9460,plain,
% 8.12/5.79 (succ(s114, s115) <=> succ(s114, s115)),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9461,axiom,(succ(s114, s115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound115')).
% 8.12/5.79 tff(9462,plain,
% 8.12/5.79 (succ(s114, s115)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 8.12/5.79 tff(9463,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9464,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9465,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 8.12/5.79 tff(9466,plain,
% 8.12/5.79 (trans(s114, s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9465, 9462, 32])).
% 8.12/5.79 tff(9467,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9468,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9469,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 8.12/5.79 tff(9470,plain,
% 8.12/5.79 (node14(s114, s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9469, 46, 9466])).
% 8.12/5.79 tff(9471,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9472,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9473,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 8.12/5.79 tff(9474,plain,
% 8.12/5.79 (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9473, 296, 9470])).
% 8.12/5.79 tff(9475,plain,
% 8.12/5.79 (node13(s114, s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9474, 9459, 9416, 9412, 9408, 9404, 9387])).
% 8.12/5.79 tff(9476,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9477,plain,
% 8.12/5.79 (((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2))) <=> (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9478,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))))),
% 8.12/5.79 inference(monotonicity,[status(thm)],[9477])).
% 8.12/5.79 tff(9479,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 8.12/5.79 inference(transitivity,[status(thm)],[9478, 9476])).
% 8.12/5.79 tff(9480,plain,
% 8.12/5.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9481,plain,
% 8.12/5.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 8.12/5.79 tff(9482,plain,
% 8.12/5.79 (~m_main_v_state2(s115, c_n2)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9481, 311, 9400, 9475])).
% 8.12/5.79 tff(9483,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9484,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9485,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 8.12/5.79 tff(9486,plain,
% 8.12/5.79 (~node9(s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9485, 88, 9482])).
% 8.12/5.79 tff(9487,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9488,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9489,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 8.12/5.79 tff(9490,plain,
% 8.12/5.79 (~node10(s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9489, 249, 9482])).
% 8.12/5.79 tff(9491,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9492,plain,
% 8.12/5.79 (((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2)) <=> ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9493,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))))),
% 8.12/5.79 inference(monotonicity,[status(thm)],[9492])).
% 8.12/5.79 tff(9494,plain,
% 8.12/5.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 8.12/5.79 inference(transitivity,[status(thm)],[9493, 9491])).
% 8.12/5.79 tff(9495,plain,
% 8.12/5.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9496,plain,
% 8.12/5.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 8.12/5.79 tff(9497,plain,
% 8.12/5.79 (m_main_v_state2(s115, c_t2)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9496, 518, 9396, 9475])).
% 8.12/5.79 tff(9498,plain,
% 8.12/5.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9499,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9500,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 8.12/5.79 tff(9501,plain,
% 8.12/5.79 (~m_main_v_state1(s114, c_t1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9500, 539, 9451])).
% 8.12/5.79 tff(9502,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9503,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9504,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 8.12/5.79 tff(9505,plain,
% 8.12/5.79 (~node5(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9504, 550, 9501])).
% 8.12/5.79 tff(9506,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9507,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9508,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 8.12/5.79 tff(9509,plain,
% 8.12/5.79 (~node4(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9508, 388, 9400])).
% 8.12/5.79 tff(9510,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9511,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9512,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 8.12/5.79 tff(9513,plain,
% 8.12/5.79 (~node3(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9512, 399, 9416])).
% 8.12/5.79 tff(9514,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9515,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9516,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 8.12/5.79 tff(9517,plain,
% 8.12/5.79 (~node2(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9516, 410, 9400])).
% 8.12/5.79 tff(9518,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9519,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9520,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 8.12/5.79 tff(9521,plain,
% 8.12/5.79 (~node1(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9520, 421, 9455])).
% 8.12/5.79 tff(9522,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9523,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9524,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 8.12/5.79 tff(9525,plain,
% 8.12/5.79 (node7(s114, s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9524, 206, 9466])).
% 8.12/5.79 tff(9526,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9527,plain,
% 8.12/5.79 (((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1)) <=> (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9528,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))))),
% 8.12/5.79 inference(monotonicity,[status(thm)],[9527])).
% 8.12/5.79 tff(9529,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 8.12/5.79 inference(transitivity,[status(thm)],[9528, 9526])).
% 8.12/5.79 tff(9530,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9531,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 8.12/5.79 tff(9532,plain,
% 8.12/5.79 (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9531, 584, 9525])).
% 8.12/5.79 tff(9533,plain,
% 8.12/5.79 (m_main_v_state1(s115, c_n1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9532, 9521, 9451, 9517, 9513, 9509, 9505])).
% 8.12/5.79 tff(9534,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9535,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9536,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 8.12/5.79 tff(9537,plain,
% 8.12/5.79 (~node8(s115)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9536, 271, 9482])).
% 8.12/5.79 tff(9538,plain,
% 8.12/5.79 (succ(s115, s116) <=> succ(s115, s116)),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9539,axiom,(succ(s115, s116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound116')).
% 8.12/5.79 tff(9540,plain,
% 8.12/5.79 (succ(s115, s116)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 8.12/5.79 tff(9541,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9542,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9543,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 8.12/5.79 tff(9544,plain,
% 8.12/5.79 (trans(s115, s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9543, 9540, 32])).
% 8.12/5.79 tff(9545,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9546,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9547,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 8.12/5.79 tff(9548,plain,
% 8.12/5.79 (node14(s115, s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9547, 46, 9544])).
% 8.12/5.79 tff(9549,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9550,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9551,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9550, 9549])).
% 8.12/5.79 tff(9552,plain,
% 8.12/5.79 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | m_main_v_state2(s116, c_c2)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9551, 617, 9548])).
% 8.12/5.79 tff(9553,plain,
% 8.12/5.79 (m_main_v_state2(s116, c_c2)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9552, 9537, 9533, 9497, 9490, 9486])).
% 8.12/5.79 tff(9554,plain,
% 8.12/5.79 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9555,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9556,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 8.12/5.79 tff(9557,plain,
% 8.12/5.79 (~m_main_v_state2(s116, c_t2)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9556, 260, 9553])).
% 8.12/5.79 tff(9558,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9559,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9560,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9559, 9558])).
% 8.12/5.79 tff(9561,plain,
% 8.12/5.79 (~node12(s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9560, 633, 9557])).
% 8.12/5.79 tff(9562,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9563,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9564,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 8.12/5.79 tff(9565,plain,
% 8.12/5.79 (node7(s115, s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9564, 206, 9544])).
% 8.12/5.79 tff(9566,plain,
% 8.12/5.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9567,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9568,plain,
% 8.12/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1)),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 8.12/5.79 tff(9569,plain,
% 8.12/5.79 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_state1(s116, c_t1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9568, 651, 9565])).
% 8.12/5.79 tff(9570,plain,
% 8.12/5.79 (m_main_v_state1(s116, c_t1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9569, 9497, 9533])).
% 8.12/5.79 tff(9571,plain,
% 8.12/5.79 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9572,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9573,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 8.12/5.79 tff(9574,plain,
% 8.12/5.79 (~m_main_v_state1(s116, c_n1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9573, 10, 9570])).
% 8.12/5.79 tff(9575,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9576,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9577,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 8.12/5.79 tff(9578,plain,
% 8.12/5.79 (~node11(s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9577, 238, 9574])).
% 8.12/5.79 tff(9579,plain,
% 8.12/5.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9580,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9581,plain,
% 8.12/5.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 8.12/5.79 tff(9582,plain,
% 8.12/5.79 (~m_main_v_state1(s116, c_c1)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9581, 539, 9570])).
% 8.12/5.79 tff(9583,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 8.12/5.79 inference(rewrite,[status(thm)],[])).
% 8.12/5.79 tff(9584,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 8.12/5.79 inference(quant_inst,[status(thm)],[])).
% 8.12/5.79 tff(9585,plain,
% 8.12/5.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116))),
% 8.12/5.79 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 8.12/5.79 tff(9586,plain,
% 8.12/5.79 (~node10(s116)),
% 8.12/5.79 inference(unit_resolution,[status(thm)],[9585, 675, 9582])).
% 8.12/5.79 tff(9587,plain,
% 8.12/5.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 8.12/5.80 inference(rewrite,[status(thm)],[])).
% 8.12/5.80 tff(9588,plain,
% 8.12/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 8.12/5.80 inference(quant_inst,[status(thm)],[])).
% 8.12/5.80 tff(9589,plain,
% 8.12/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116))),
% 8.12/5.80 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 8.12/5.80 tff(9590,plain,
% 8.12/5.80 (~node9(s116)),
% 8.12/5.80 inference(unit_resolution,[status(thm)],[9589, 686, 9574])).
% 8.12/5.80 tff(9591,plain,
% 8.12/5.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))),
% 8.12/5.80 inference(rewrite,[status(thm)],[])).
% 8.12/5.80 tff(9592,plain,
% 8.12/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))),
% 8.12/5.80 inference(quant_inst,[status(thm)],[])).
% 8.12/5.80 tff(9593,plain,
% 8.12/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2))),
% 8.12/5.80 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 8.12/5.80 tff(9594,plain,
% 8.12/5.80 (~m_main_v_state2(s116, c_n2)),
% 8.12/5.80 inference(unit_resolution,[status(thm)],[9593, 697, 9553])).
% 8.12/5.80 tff(9595,plain,
% 8.12/5.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 8.12/5.80 inference(rewrite,[status(thm)],[])).
% 8.12/5.80 tff(9596,plain,
% 8.12/5.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 8.12/5.80 inference(quant_inst,[status(thm)],[])).
% 8.12/5.80 tff(9597,plain,
% 8.12/5.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116))),
% 8.12/5.80 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 8.16/5.80 tff(9598,plain,
% 8.16/5.80 (~node8(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9597, 271, 9594])).
% 8.16/5.80 tff(9599,plain,
% 8.16/5.80 (succ(s116, s117) <=> succ(s116, s117)),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9600,axiom,(succ(s116, s117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound117')).
% 8.16/5.80 tff(9601,plain,
% 8.16/5.80 (succ(s116, s117)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 8.16/5.80 tff(9602,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9603,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9604,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 8.16/5.80 tff(9605,plain,
% 8.16/5.80 (trans(s116, s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9604, 9601, 32])).
% 8.16/5.80 tff(9606,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9607,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9608,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 8.16/5.80 tff(9609,plain,
% 8.16/5.80 (node14(s116, s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9608, 46, 9605])).
% 8.16/5.80 tff(9610,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9611,plain,
% 8.16/5.80 (((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2)) <=> (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9612,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))))),
% 8.16/5.80 inference(monotonicity,[status(thm)],[9611])).
% 8.16/5.80 tff(9613,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9612, 9610])).
% 8.16/5.80 tff(9614,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9615,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 8.16/5.80 tff(9616,plain,
% 8.16/5.80 (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~m_main_v_state2(s116, c_c2))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9615, 726, 9609])).
% 8.16/5.80 tff(9617,plain,
% 8.16/5.80 (m_main_v_state2(s117, c_n2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9616, 9598, 9553, 9590, 9586, 9578, 9561])).
% 8.16/5.80 tff(9618,plain,
% 8.16/5.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9619,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9620,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 8.16/5.80 tff(9621,plain,
% 8.16/5.80 (~m_main_v_state2(s117, c_c2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9620, 697, 9617])).
% 8.16/5.80 tff(9622,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9623,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9624,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 8.16/5.80 tff(9625,plain,
% 8.16/5.80 (~node3(s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9624, 399, 9621])).
% 8.16/5.80 tff(9626,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9627,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9628,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 8.16/5.80 tff(9629,plain,
% 8.16/5.80 (~node1(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9628, 421, 9574])).
% 8.16/5.80 tff(9630,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9631,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9632,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 8.16/5.80 tff(9633,plain,
% 8.16/5.80 (node18(s115, s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9632, 125, 9544])).
% 8.16/5.80 tff(9634,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9635,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9636,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 8.16/5.80 tff(9637,plain,
% 8.16/5.80 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_turn(s116, c_2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9636, 760, 9633])).
% 8.16/5.80 tff(9638,plain,
% 8.16/5.80 (m_main_v_turn(s116, c_2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9637, 9497, 9533])).
% 8.16/5.80 tff(9639,plain,
% 8.16/5.80 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9640,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9641,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 8.16/5.80 tff(9642,plain,
% 8.16/5.80 (~m_main_v_turn(s116, c_1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9641, 156, 9638])).
% 8.16/5.80 tff(9643,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9644,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9645,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 8.16/5.80 tff(9646,plain,
% 8.16/5.80 (~node5(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9645, 776, 9642])).
% 8.16/5.80 tff(9647,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9648,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9649,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 8.16/5.80 tff(9650,plain,
% 8.16/5.80 (~node2(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9649, 787, 9574])).
% 8.16/5.80 tff(9651,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9652,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9653,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 8.16/5.80 tff(9654,plain,
% 8.16/5.80 (~node3(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9653, 798, 9574])).
% 8.16/5.80 tff(9655,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9656,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9657,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 8.16/5.80 tff(9658,plain,
% 8.16/5.80 (~node4(s116)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9657, 388, 9594])).
% 8.16/5.80 tff(9659,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9660,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9661,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 8.16/5.80 tff(9662,plain,
% 8.16/5.80 (node7(s116, s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9661, 206, 9605])).
% 8.16/5.80 tff(9663,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9664,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9665,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 8.16/5.80 tff(9666,plain,
% 8.16/5.80 (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9665, 820, 9662])).
% 8.16/5.80 tff(9667,plain,
% 8.16/5.80 (node6(s116, s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9666, 9658, 9582, 9654, 9650, 9646, 9629])).
% 8.16/5.80 tff(9668,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9669,plain,
% 8.16/5.80 (((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1))) <=> (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9670,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))))),
% 8.16/5.80 inference(monotonicity,[status(thm)],[9669])).
% 8.16/5.80 tff(9671,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9670, 9668])).
% 8.16/5.80 tff(9672,plain,
% 8.16/5.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9673,plain,
% 8.16/5.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 8.16/5.80 tff(9674,plain,
% 8.16/5.80 (~m_main_v_state1(s117, c_n1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9673, 835, 9574, 9667])).
% 8.16/5.80 tff(9675,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9676,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9677,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 8.16/5.80 tff(9678,plain,
% 8.16/5.80 (~node2(s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9677, 787, 9674])).
% 8.16/5.80 tff(9679,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9680,plain,
% 8.16/5.80 (((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1)) <=> ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9681,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))))),
% 8.16/5.80 inference(monotonicity,[status(thm)],[9680])).
% 8.16/5.80 tff(9682,plain,
% 8.16/5.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9681, 9679])).
% 8.16/5.80 tff(9683,plain,
% 8.16/5.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9684,plain,
% 8.16/5.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 8.16/5.80 tff(9685,plain,
% 8.16/5.80 (m_main_v_state1(s117, c_t1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9684, 856, 9570, 9667])).
% 8.16/5.80 tff(9686,plain,
% 8.16/5.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9687,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9688,plain,
% 8.16/5.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 8.16/5.80 tff(9689,plain,
% 8.16/5.80 (~m_main_v_state2(s117, c_t2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9688, 77, 9617])).
% 8.16/5.80 tff(9690,plain,
% 8.16/5.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9691,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9692,plain,
% 8.16/5.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 8.16/5.80 tff(9693,plain,
% 8.16/5.80 (~node1(s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9692, 195, 9689])).
% 8.16/5.80 tff(9694,plain,
% 8.16/5.80 (succ(s117, s118) <=> succ(s117, s118)),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9695,axiom,(succ(s117, s118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound118')).
% 8.16/5.80 tff(9696,plain,
% 8.16/5.80 (succ(s117, s118)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 8.16/5.80 tff(9697,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9698,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9699,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9698, 9697])).
% 8.16/5.80 tff(9700,plain,
% 8.16/5.80 (trans(s117, s118)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9699, 9696, 32])).
% 8.16/5.80 tff(9701,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9702,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9703,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 8.16/5.80 tff(9704,plain,
% 8.16/5.80 (node7(s117, s118)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9703, 206, 9700])).
% 8.16/5.80 tff(9705,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9706,plain,
% 8.16/5.80 (((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1)) <=> ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9707,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118))))),
% 8.16/5.80 inference(monotonicity,[status(thm)],[9706])).
% 8.16/5.80 tff(9708,plain,
% 8.16/5.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9707, 9705])).
% 8.16/5.80 tff(9709,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9710,plain,
% 8.16/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 8.16/5.80 tff(9711,plain,
% 8.16/5.80 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9710, 892, 9704])).
% 8.16/5.80 tff(9712,plain,
% 8.16/5.80 (m_main_v_state1(s118, c_c1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9711, 9693, 9617, 9685, 9678, 9625])).
% 8.16/5.80 tff(9713,plain,
% 8.16/5.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9714,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9715,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 8.16/5.81 tff(9716,plain,
% 8.16/5.81 (~m_main_v_state1(s118, c_t1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9715, 539, 9712])).
% 8.16/5.81 tff(9717,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9718,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9719,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 8.16/5.81 tff(9720,plain,
% 8.16/5.81 (~node5(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9719, 550, 9716])).
% 8.16/5.81 tff(9721,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9722,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9723,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 8.16/5.81 tff(9724,plain,
% 8.16/5.81 (node14(s117, s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9723, 46, 9700])).
% 8.16/5.81 tff(9725,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9726,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9727,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 8.16/5.81 tff(9728,plain,
% 8.16/5.81 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state2(s118, c_t2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9727, 922, 9724])).
% 8.16/5.81 tff(9729,plain,
% 8.16/5.81 (m_main_v_state2(s118, c_t2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9728, 9685, 9617])).
% 8.16/5.81 tff(9730,plain,
% 8.16/5.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9731,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9732,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 8.16/5.81 tff(9733,plain,
% 8.16/5.81 (~m_main_v_state2(s118, c_n2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9732, 77, 9729])).
% 8.16/5.81 tff(9734,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9735,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9736,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 8.16/5.81 tff(9737,plain,
% 8.16/5.81 (~node4(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9736, 388, 9733])).
% 8.16/5.81 tff(9738,plain,
% 8.16/5.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9739,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9740,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 8.16/5.81 tff(9741,plain,
% 8.16/5.81 (~m_main_v_state2(s118, c_c2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9740, 260, 9729])).
% 8.16/5.81 tff(9742,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9743,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9744,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 8.16/5.81 tff(9745,plain,
% 8.16/5.81 (~node3(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9744, 399, 9741])).
% 8.16/5.81 tff(9746,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9747,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9748,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 8.16/5.81 tff(9749,plain,
% 8.16/5.81 (~node2(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9748, 410, 9733])).
% 8.16/5.81 tff(9750,plain,
% 8.16/5.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9751,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9752,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 8.16/5.81 tff(9753,plain,
% 8.16/5.81 (~m_main_v_state1(s118, c_n1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9752, 454, 9712])).
% 8.16/5.81 tff(9754,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9755,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9756,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 8.16/5.81 tff(9757,plain,
% 8.16/5.81 (~node1(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9756, 421, 9753])).
% 8.16/5.81 tff(9758,plain,
% 8.16/5.81 (succ(s118, s119) <=> succ(s118, s119)),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9759,axiom,(succ(s118, s119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound119')).
% 8.16/5.81 tff(9760,plain,
% 8.16/5.81 (succ(s118, s119)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 8.16/5.81 tff(9761,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9762,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9763,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 8.16/5.81 tff(9764,plain,
% 8.16/5.81 (trans(s118, s119)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9763, 9760, 32])).
% 8.16/5.81 tff(9765,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9766,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9767,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 8.16/5.81 tff(9768,plain,
% 8.16/5.81 (node7(s118, s119)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9767, 206, 9764])).
% 8.16/5.81 tff(9769,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9770,plain,
% 8.16/5.81 (((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1)) <=> (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9771,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))))),
% 8.16/5.81 inference(monotonicity,[status(thm)],[9770])).
% 8.16/5.81 tff(9772,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 8.16/5.81 inference(transitivity,[status(thm)],[9771, 9769])).
% 8.16/5.81 tff(9773,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9774,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 8.16/5.81 tff(9775,plain,
% 8.16/5.81 (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9774, 584, 9768])).
% 8.16/5.81 tff(9776,plain,
% 8.16/5.81 (m_main_v_state1(s119, c_n1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9775, 9757, 9712, 9749, 9745, 9737, 9720])).
% 8.16/5.81 tff(9777,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9778,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9779,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 8.16/5.81 tff(9780,plain,
% 8.16/5.81 (~node15(s117)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9779, 103, 9689])).
% 8.16/5.81 tff(9781,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9782,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9783,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 8.16/5.81 tff(9784,plain,
% 8.16/5.81 (node18(s117, s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9783, 125, 9700])).
% 8.16/5.81 tff(9785,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9786,plain,
% 8.16/5.81 (((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1)) <=> (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9787,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)))),
% 8.16/5.81 inference(monotonicity,[status(thm)],[9786])).
% 8.16/5.81 tff(9788,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 8.16/5.81 inference(transitivity,[status(thm)],[9787, 9785])).
% 8.16/5.81 tff(9789,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9790,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 8.16/5.81 tff(9791,plain,
% 8.16/5.81 (node15(s117) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9790, 992, 9784])).
% 8.16/5.81 tff(9792,plain,
% 8.16/5.81 (m_main_v_turn(s118, c_1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9791, 9780, 9617, 9685])).
% 8.16/5.81 tff(9793,plain,
% 8.16/5.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9794,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9795,plain,
% 8.16/5.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 8.16/5.81 tff(9796,plain,
% 8.16/5.81 (~m_main_v_turn(s118, c_2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9795, 156, 9792])).
% 8.16/5.81 tff(9797,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9798,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9799,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 8.16/5.81 tff(9800,plain,
% 8.16/5.81 (~node12(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9799, 184, 9796])).
% 8.16/5.81 tff(9801,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9802,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9803,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 8.16/5.81 tff(9804,plain,
% 8.16/5.81 (~node8(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9803, 271, 9733])).
% 8.16/5.81 tff(9805,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9806,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9807,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 8.16/5.81 tff(9808,plain,
% 8.16/5.81 (~node9(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9807, 88, 9733])).
% 8.16/5.81 tff(9809,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9810,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9811,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 8.16/5.81 tff(9812,plain,
% 8.16/5.81 (~node10(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9811, 249, 9733])).
% 8.16/5.81 tff(9813,plain,
% 8.16/5.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9814,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9815,plain,
% 8.16/5.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 8.16/5.81 tff(9816,plain,
% 8.16/5.81 (~node11(s118)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9815, 238, 9753])).
% 8.16/5.81 tff(9817,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9818,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9819,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 8.16/5.81 tff(9820,plain,
% 8.16/5.81 (node14(s118, s119)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9819, 46, 9764])).
% 8.16/5.81 tff(9821,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9822,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9823,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 8.16/5.81 tff(9824,plain,
% 8.16/5.81 (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9823, 296, 9820])).
% 8.16/5.81 tff(9825,plain,
% 8.16/5.81 (node13(s118, s119)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9824, 9816, 9741, 9812, 9808, 9804, 9800])).
% 8.16/5.81 tff(9826,plain,
% 8.16/5.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9827,plain,
% 8.16/5.81 (((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2)) <=> ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9828,plain,
% 8.16/5.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))))),
% 8.16/5.81 inference(monotonicity,[status(thm)],[9827])).
% 8.16/5.81 tff(9829,plain,
% 8.16/5.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 8.16/5.81 inference(transitivity,[status(thm)],[9828, 9826])).
% 8.16/5.81 tff(9830,plain,
% 8.16/5.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9831,plain,
% 8.16/5.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 8.16/5.81 tff(9832,plain,
% 8.16/5.81 (m_main_v_state2(s119, c_t2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9831, 518, 9729, 9825])).
% 8.16/5.81 tff(9833,plain,
% 8.16/5.81 (succ(s119, s120) <=> succ(s119, s120)),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9834,axiom,(succ(s119, s120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound120')).
% 8.16/5.81 tff(9835,plain,
% 8.16/5.81 (succ(s119, s120)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 8.16/5.81 tff(9836,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9837,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9838,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 8.16/5.81 tff(9839,plain,
% 8.16/5.81 (trans(s119, s120)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9838, 9835, 32])).
% 8.16/5.81 tff(9840,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9841,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9842,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 8.16/5.81 tff(9843,plain,
% 8.16/5.81 (node7(s119, s120)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9842, 206, 9839])).
% 8.16/5.81 tff(9844,plain,
% 8.16/5.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9845,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9846,plain,
% 8.16/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9845, 9844])).
% 8.16/5.81 tff(9847,plain,
% 8.16/5.81 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_state1(s120, c_t1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9846, 651, 9843])).
% 8.16/5.81 tff(9848,plain,
% 8.16/5.81 (m_main_v_state1(s120, c_t1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9847, 9832, 9776])).
% 8.16/5.81 tff(9849,plain,
% 8.16/5.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9850,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9851,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 8.16/5.82 tff(9852,plain,
% 8.16/5.82 (~m_main_v_state1(s120, c_n1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9851, 10, 9848])).
% 8.16/5.82 tff(9853,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9854,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9855,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 8.16/5.82 tff(9856,plain,
% 8.16/5.82 (~node1(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9855, 421, 9852])).
% 8.16/5.82 tff(9857,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9858,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9859,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9858, 9857])).
% 8.16/5.82 tff(9860,plain,
% 8.16/5.82 (node18(s119, s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9859, 125, 9839])).
% 8.16/5.82 tff(9861,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9862,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9863,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 8.16/5.82 tff(9864,plain,
% 8.16/5.82 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_turn(s120, c_2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9863, 760, 9860])).
% 8.16/5.82 tff(9865,plain,
% 8.16/5.82 (m_main_v_turn(s120, c_2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9864, 9832, 9776])).
% 8.16/5.82 tff(9866,plain,
% 8.16/5.82 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9867,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9868,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 8.16/5.82 tff(9869,plain,
% 8.16/5.82 (~m_main_v_turn(s120, c_1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9868, 156, 9865])).
% 8.16/5.82 tff(9870,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9871,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9872,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 8.16/5.82 tff(9873,plain,
% 8.16/5.82 (~node5(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9872, 776, 9869])).
% 8.16/5.82 tff(9874,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9875,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9876,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 8.16/5.82 tff(9877,plain,
% 8.16/5.82 (~node2(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9876, 787, 9852])).
% 8.16/5.82 tff(9878,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9879,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9880,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 8.16/5.82 tff(9881,plain,
% 8.16/5.82 (~node3(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9880, 798, 9852])).
% 8.16/5.82 tff(9882,plain,
% 8.16/5.82 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9883,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9884,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 8.16/5.82 tff(9885,plain,
% 8.16/5.82 (~m_main_v_state1(s120, c_c1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9884, 539, 9848])).
% 8.16/5.82 tff(9886,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9887,plain,
% 8.16/5.82 (((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2))) <=> (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9888,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))))),
% 8.16/5.82 inference(monotonicity,[status(thm)],[9887])).
% 8.16/5.82 tff(9889,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 8.16/5.82 inference(transitivity,[status(thm)],[9888, 9886])).
% 8.16/5.82 tff(9890,plain,
% 8.16/5.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9891,plain,
% 8.16/5.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 8.16/5.82 tff(9892,plain,
% 8.16/5.82 (~m_main_v_state2(s119, c_n2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9891, 311, 9733, 9825])).
% 8.16/5.82 tff(9893,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9894,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9895,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 8.16/5.82 tff(9896,plain,
% 8.16/5.82 (~node9(s119)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9895, 88, 9892])).
% 8.16/5.82 tff(9897,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9898,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9899,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 8.16/5.82 tff(9900,plain,
% 8.16/5.82 (~node10(s119)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9899, 249, 9892])).
% 8.16/5.82 tff(9901,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9902,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9903,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 8.16/5.82 tff(9904,plain,
% 8.16/5.82 (~node8(s119)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9903, 271, 9892])).
% 8.16/5.82 tff(9905,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9906,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9907,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 8.16/5.82 tff(9908,plain,
% 8.16/5.82 (node14(s119, s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9907, 46, 9839])).
% 8.16/5.82 tff(9909,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9910,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9911,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 8.16/5.82 tff(9912,plain,
% 8.16/5.82 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | m_main_v_state2(s120, c_c2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9911, 617, 9908])).
% 8.16/5.82 tff(9913,plain,
% 8.16/5.82 (m_main_v_state2(s120, c_c2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9912, 9904, 9776, 9832, 9900, 9896])).
% 8.16/5.82 tff(9914,plain,
% 8.16/5.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9915,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9916,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 8.16/5.82 tff(9917,plain,
% 8.16/5.82 (~m_main_v_state2(s120, c_n2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9916, 697, 9913])).
% 8.16/5.82 tff(9918,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9919,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9920,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 8.16/5.82 tff(9921,plain,
% 8.16/5.82 (~node4(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9920, 388, 9917])).
% 8.16/5.82 tff(9922,plain,
% 8.16/5.82 (succ(s120, s121) <=> succ(s120, s121)),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9923,axiom,(succ(s120, s121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound121')).
% 8.16/5.82 tff(9924,plain,
% 8.16/5.82 (succ(s120, s121)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9923, 9922])).
% 8.16/5.82 tff(9925,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9926,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9927,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 8.16/5.82 tff(9928,plain,
% 8.16/5.82 (trans(s120, s121)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9927, 9924, 32])).
% 8.16/5.82 tff(9929,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9930,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9931,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 8.16/5.82 tff(9932,plain,
% 8.16/5.82 (node7(s120, s121)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9931, 206, 9928])).
% 8.16/5.82 tff(9933,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9934,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9935,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 8.16/5.82 tff(9936,plain,
% 8.16/5.82 (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9935, 820, 9932])).
% 8.16/5.82 tff(9937,plain,
% 8.16/5.82 (node6(s120, s121)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9936, 9921, 9885, 9881, 9877, 9873, 9856])).
% 8.16/5.82 tff(9938,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9939,plain,
% 8.16/5.82 (((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1)) <=> ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9940,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))))),
% 8.16/5.82 inference(monotonicity,[status(thm)],[9939])).
% 8.16/5.82 tff(9941,plain,
% 8.16/5.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 8.16/5.82 inference(transitivity,[status(thm)],[9940, 9938])).
% 8.16/5.82 tff(9942,plain,
% 8.16/5.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9943,plain,
% 8.16/5.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 8.16/5.82 tff(9944,plain,
% 8.16/5.82 (m_main_v_state1(s121, c_t1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9943, 856, 9848, 9937])).
% 8.16/5.82 tff(9945,plain,
% 8.16/5.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9946,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9947,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 8.16/5.82 tff(9948,plain,
% 8.16/5.82 (~m_main_v_state2(s120, c_t2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9947, 260, 9913])).
% 8.16/5.82 tff(9949,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9950,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9951,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 8.16/5.82 tff(9952,plain,
% 8.16/5.82 (~node12(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9951, 633, 9948])).
% 8.16/5.82 tff(9953,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9954,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9955,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 8.16/5.82 tff(9956,plain,
% 8.16/5.82 (~node11(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9955, 238, 9852])).
% 8.16/5.82 tff(9957,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9958,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9959,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 8.16/5.82 tff(9960,plain,
% 8.16/5.82 (~node10(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9959, 675, 9885])).
% 8.16/5.82 tff(9961,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9962,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9963,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 8.16/5.82 tff(9964,plain,
% 8.16/5.82 (~node9(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9963, 686, 9852])).
% 8.16/5.82 tff(9965,plain,
% 8.16/5.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9966,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9967,plain,
% 8.16/5.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 8.16/5.82 tff(9968,plain,
% 8.16/5.82 (~node8(s120)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9967, 271, 9917])).
% 8.16/5.82 tff(9969,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9970,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9971,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 8.16/5.82 tff(9972,plain,
% 8.16/5.82 (node14(s120, s121)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9971, 46, 9928])).
% 8.16/5.82 tff(9973,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9974,plain,
% 8.16/5.82 (((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2)) <=> (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9975,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))))),
% 8.16/5.82 inference(monotonicity,[status(thm)],[9974])).
% 8.16/5.82 tff(9976,plain,
% 8.16/5.82 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 8.16/5.82 inference(transitivity,[status(thm)],[9975, 9973])).
% 8.16/5.82 tff(9977,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9978,plain,
% 8.16/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 8.16/5.82 tff(9979,plain,
% 8.16/5.82 (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~m_main_v_state2(s120, c_c2))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9978, 726, 9972])).
% 8.16/5.82 tff(9980,plain,
% 8.16/5.82 (m_main_v_state2(s121, c_n2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[9979, 9968, 9913, 9964, 9960, 9956, 9952])).
% 8.16/5.82 tff(9981,plain,
% 8.16/5.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(9982,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(9983,plain,
% 8.16/5.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 8.16/5.83 tff(9984,plain,
% 8.16/5.83 (~m_main_v_state2(s121, c_t2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[9983, 77, 9980])).
% 8.16/5.83 tff(9985,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(9986,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(9987,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[9986, 9985])).
% 8.16/5.83 tff(9988,plain,
% 8.16/5.83 (~node15(s121)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[9987, 103, 9984])).
% 8.16/5.83 tff(9989,plain,
% 8.16/5.83 (succ(s121, s122) <=> succ(s121, s122)),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(9990,axiom,(succ(s121, s122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound122')).
% 8.16/5.83 tff(9991,plain,
% 8.16/5.83 (succ(s121, s122)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 8.16/5.83 tff(9992,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(9993,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(9994,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 8.16/5.83 tff(9995,plain,
% 8.16/5.83 (trans(s121, s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[9994, 9991, 32])).
% 8.16/5.83 tff(9996,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(9997,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(9998,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 8.16/5.83 tff(9999,plain,
% 8.16/5.83 (node18(s121, s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[9998, 125, 9995])).
% 8.16/5.83 tff(10000,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10001,plain,
% 8.16/5.83 (((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1)) <=> (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10002,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)))),
% 8.16/5.83 inference(monotonicity,[status(thm)],[10001])).
% 8.16/5.83 tff(10003,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 8.16/5.83 inference(transitivity,[status(thm)],[10002, 10000])).
% 8.16/5.83 tff(10004,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10005,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 8.16/5.83 tff(10006,plain,
% 8.16/5.83 (node15(s121) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10005, 992, 9999])).
% 8.16/5.83 tff(10007,plain,
% 8.16/5.83 (m_main_v_turn(s122, c_1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10006, 9988, 9980, 9944])).
% 8.16/5.83 tff(10008,plain,
% 8.16/5.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10009,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10010,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 8.16/5.83 tff(10011,plain,
% 8.16/5.83 (~m_main_v_turn(s122, c_2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10010, 156, 10007])).
% 8.16/5.83 tff(10012,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10013,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10014,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 8.16/5.83 tff(10015,plain,
% 8.16/5.83 (~node12(s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10014, 184, 10011])).
% 8.16/5.83 tff(10016,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10017,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10018,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 8.16/5.83 tff(10019,plain,
% 8.16/5.83 (node14(s121, s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10018, 46, 9995])).
% 8.16/5.83 tff(10020,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10021,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10022,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 8.16/5.83 tff(10023,plain,
% 8.16/5.83 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state2(s122, c_t2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10022, 922, 10019])).
% 8.16/5.83 tff(10024,plain,
% 8.16/5.83 (m_main_v_state2(s122, c_t2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10023, 9944, 9980])).
% 8.16/5.83 tff(10025,plain,
% 8.16/5.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10026,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10027,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 8.16/5.83 tff(10028,plain,
% 8.16/5.83 (~m_main_v_state2(s122, c_n2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10027, 77, 10024])).
% 8.16/5.83 tff(10029,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10030,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10031,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 8.16/5.83 tff(10032,plain,
% 8.16/5.83 (~node8(s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10031, 271, 10028])).
% 8.16/5.83 tff(10033,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10034,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10035,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 8.16/5.83 tff(10036,plain,
% 8.16/5.83 (~node9(s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10035, 88, 10028])).
% 8.16/5.83 tff(10037,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10038,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10039,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 8.16/5.83 tff(10040,plain,
% 8.16/5.83 (~node10(s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10039, 249, 10028])).
% 8.16/5.83 tff(10041,plain,
% 8.16/5.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10042,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10043,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 8.16/5.83 tff(10044,plain,
% 8.16/5.83 (~m_main_v_state2(s122, c_c2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10043, 260, 10024])).
% 8.16/5.83 tff(10045,plain,
% 8.16/5.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10046,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10047,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 8.16/5.83 tff(10048,plain,
% 8.16/5.83 (~m_main_v_state2(s121, c_c2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10047, 697, 9980])).
% 8.16/5.83 tff(10049,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10050,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10051,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 8.16/5.83 tff(10052,plain,
% 8.16/5.83 (~node3(s121)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10051, 399, 10048])).
% 8.16/5.83 tff(10053,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10054,plain,
% 8.16/5.83 (((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1))) <=> (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10055,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))))),
% 8.16/5.83 inference(monotonicity,[status(thm)],[10054])).
% 8.16/5.83 tff(10056,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 8.16/5.83 inference(transitivity,[status(thm)],[10055, 10053])).
% 8.16/5.83 tff(10057,plain,
% 8.16/5.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10058,plain,
% 8.16/5.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 8.16/5.83 tff(10059,plain,
% 8.16/5.83 (~m_main_v_state1(s121, c_n1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10058, 835, 9852, 9937])).
% 8.16/5.83 tff(10060,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10061,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10062,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 8.16/5.83 tff(10063,plain,
% 8.16/5.83 (~node2(s121)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10062, 787, 10059])).
% 8.16/5.83 tff(10064,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10065,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10066,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 8.16/5.83 tff(10067,plain,
% 8.16/5.83 (~node1(s121)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10066, 195, 9984])).
% 8.16/5.83 tff(10068,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10069,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10070,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 8.16/5.83 tff(10071,plain,
% 8.16/5.83 (node7(s121, s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10070, 206, 9995])).
% 8.16/5.83 tff(10072,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10073,plain,
% 8.16/5.83 (((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1)) <=> ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10074,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122))))),
% 8.16/5.83 inference(monotonicity,[status(thm)],[10073])).
% 8.16/5.83 tff(10075,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 8.16/5.83 inference(transitivity,[status(thm)],[10074, 10072])).
% 8.16/5.83 tff(10076,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10077,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 8.16/5.83 tff(10078,plain,
% 8.16/5.83 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10077, 892, 10071])).
% 8.16/5.83 tff(10079,plain,
% 8.16/5.83 (m_main_v_state1(s122, c_c1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10078, 10067, 9980, 9944, 10063, 10052])).
% 8.16/5.83 tff(10080,plain,
% 8.16/5.83 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10081,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10082,plain,
% 8.16/5.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 8.16/5.83 tff(10083,plain,
% 8.16/5.83 (~m_main_v_state1(s122, c_n1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10082, 454, 10079])).
% 8.16/5.83 tff(10084,plain,
% 8.16/5.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10085,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10086,plain,
% 8.16/5.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 8.16/5.83 tff(10087,plain,
% 8.16/5.83 (~node11(s122)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10086, 238, 10083])).
% 8.16/5.83 tff(10088,plain,
% 8.16/5.83 (succ(s122, s123) <=> succ(s122, s123)),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10089,axiom,(succ(s122, s123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound123')).
% 8.16/5.83 tff(10090,plain,
% 8.16/5.83 (succ(s122, s123)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 8.16/5.83 tff(10091,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10092,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10093,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 8.16/5.83 tff(10094,plain,
% 8.16/5.83 (trans(s122, s123)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10093, 10090, 32])).
% 8.16/5.83 tff(10095,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10096,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10097,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 8.16/5.83 tff(10098,plain,
% 8.16/5.83 (node14(s122, s123)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10097, 46, 10094])).
% 8.16/5.83 tff(10099,plain,
% 8.16/5.83 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10100,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10101,plain,
% 8.16/5.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 8.16/5.83 tff(10102,plain,
% 8.16/5.83 (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10101, 296, 10098])).
% 8.16/5.83 tff(10103,plain,
% 8.16/5.83 (node13(s122, s123)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10102, 10087, 10044, 10040, 10036, 10032, 10015])).
% 8.16/5.83 tff(10104,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10105,plain,
% 8.16/5.83 (((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2))) <=> (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10106,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))))),
% 8.16/5.83 inference(monotonicity,[status(thm)],[10105])).
% 8.16/5.83 tff(10107,plain,
% 8.16/5.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 8.16/5.83 inference(transitivity,[status(thm)],[10106, 10104])).
% 8.16/5.83 tff(10108,plain,
% 8.16/5.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10109,plain,
% 8.16/5.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 8.16/5.84 tff(10110,plain,
% 8.16/5.84 (~m_main_v_state2(s123, c_n2)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10109, 311, 10028, 10103])).
% 8.16/5.84 tff(10111,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10112,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10113,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 8.16/5.84 tff(10114,plain,
% 8.16/5.84 (~node9(s123)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10113, 88, 10110])).
% 8.16/5.84 tff(10115,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10116,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10117,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 8.16/5.84 tff(10118,plain,
% 8.16/5.84 (~node10(s123)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10117, 249, 10110])).
% 8.16/5.84 tff(10119,plain,
% 8.16/5.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10120,plain,
% 8.16/5.84 (((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2)) <=> ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10121,plain,
% 8.16/5.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))))),
% 8.16/5.84 inference(monotonicity,[status(thm)],[10120])).
% 8.16/5.84 tff(10122,plain,
% 8.16/5.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 8.16/5.84 inference(transitivity,[status(thm)],[10121, 10119])).
% 8.16/5.84 tff(10123,plain,
% 8.16/5.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10124,plain,
% 8.16/5.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 8.16/5.84 tff(10125,plain,
% 8.16/5.84 (m_main_v_state2(s123, c_t2)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10124, 518, 10024, 10103])).
% 8.16/5.84 tff(10126,plain,
% 8.16/5.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10127,plain,
% 8.16/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10128,plain,
% 8.16/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 8.16/5.84 tff(10129,plain,
% 8.16/5.84 (~m_main_v_state1(s122, c_t1)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10128, 539, 10079])).
% 8.16/5.84 tff(10130,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10131,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10132,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 8.16/5.84 tff(10133,plain,
% 8.16/5.84 (~node5(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10132, 550, 10129])).
% 8.16/5.84 tff(10134,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10135,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10136,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 8.16/5.84 tff(10137,plain,
% 8.16/5.84 (~node4(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10136, 388, 10028])).
% 8.16/5.84 tff(10138,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10139,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10140,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 8.16/5.84 tff(10141,plain,
% 8.16/5.84 (~node3(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10140, 399, 10044])).
% 8.16/5.84 tff(10142,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10143,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10144,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 8.16/5.84 tff(10145,plain,
% 8.16/5.84 (~node2(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10144, 410, 10028])).
% 8.16/5.84 tff(10146,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10147,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10148,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 8.16/5.84 tff(10149,plain,
% 8.16/5.84 (~node1(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10148, 421, 10083])).
% 8.16/5.84 tff(10150,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10151,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10152,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123)),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 8.16/5.84 tff(10153,plain,
% 8.16/5.84 (node7(s122, s123)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10152, 206, 10094])).
% 8.16/5.84 tff(10154,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10155,plain,
% 8.16/5.84 (((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1)) <=> (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10156,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))))),
% 8.16/5.84 inference(monotonicity,[status(thm)],[10155])).
% 8.16/5.84 tff(10157,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 8.16/5.84 inference(transitivity,[status(thm)],[10156, 10154])).
% 8.16/5.84 tff(10158,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10159,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 8.16/5.84 tff(10160,plain,
% 8.16/5.84 (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10159, 584, 10153])).
% 8.16/5.84 tff(10161,plain,
% 8.16/5.84 (m_main_v_state1(s123, c_n1)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10160, 10149, 10079, 10145, 10141, 10137, 10133])).
% 8.16/5.84 tff(10162,plain,
% 8.16/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10163,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10164,plain,
% 8.16/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123))),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 8.16/5.84 tff(10165,plain,
% 8.16/5.84 (~node8(s123)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10164, 271, 10110])).
% 8.16/5.84 tff(10166,plain,
% 8.16/5.84 (succ(s123, s124) <=> succ(s123, s124)),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10167,axiom,(succ(s123, s124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound124')).
% 8.16/5.84 tff(10168,plain,
% 8.16/5.84 (succ(s123, s124)),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 8.16/5.84 tff(10169,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10170,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10171,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 8.16/5.84 tff(10172,plain,
% 8.16/5.84 (trans(s123, s124)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10171, 10168, 32])).
% 8.16/5.84 tff(10173,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10174,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))),
% 8.16/5.84 inference(quant_inst,[status(thm)],[])).
% 8.16/5.84 tff(10175,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124)),
% 8.16/5.84 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 8.16/5.84 tff(10176,plain,
% 8.16/5.84 (node14(s123, s124)),
% 8.16/5.84 inference(unit_resolution,[status(thm)],[10175, 46, 10172])).
% 8.16/5.84 tff(10177,plain,
% 8.16/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))),
% 8.16/5.84 inference(rewrite,[status(thm)],[])).
% 8.16/5.84 tff(10178,plain,
% 8.16/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10179,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 8.21/5.84 tff(10180,plain,
% 8.21/5.84 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | m_main_v_state2(s124, c_c2)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10179, 617, 10176])).
% 8.21/5.84 tff(10181,plain,
% 8.21/5.84 (m_main_v_state2(s124, c_c2)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10180, 10165, 10161, 10125, 10118, 10114])).
% 8.21/5.84 tff(10182,plain,
% 8.21/5.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10183,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10184,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 8.21/5.84 tff(10185,plain,
% 8.21/5.84 (~m_main_v_state2(s124, c_t2)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10184, 260, 10181])).
% 8.21/5.84 tff(10186,plain,
% 8.21/5.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10187,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10188,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 8.21/5.84 tff(10189,plain,
% 8.21/5.84 (~node12(s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10188, 633, 10185])).
% 8.21/5.84 tff(10190,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10191,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10192,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 8.21/5.84 tff(10193,plain,
% 8.21/5.84 (node7(s123, s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10192, 206, 10172])).
% 8.21/5.84 tff(10194,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10195,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10196,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 8.21/5.84 tff(10197,plain,
% 8.21/5.84 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_state1(s124, c_t1)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10196, 651, 10193])).
% 8.21/5.84 tff(10198,plain,
% 8.21/5.84 (m_main_v_state1(s124, c_t1)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10197, 10125, 10161])).
% 8.21/5.84 tff(10199,plain,
% 8.21/5.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10200,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10201,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 8.21/5.84 tff(10202,plain,
% 8.21/5.84 (~m_main_v_state1(s124, c_n1)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10201, 10, 10198])).
% 8.21/5.84 tff(10203,plain,
% 8.21/5.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10204,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10205,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 8.21/5.84 tff(10206,plain,
% 8.21/5.84 (~node11(s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10205, 238, 10202])).
% 8.21/5.84 tff(10207,plain,
% 8.21/5.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10208,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10209,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 8.21/5.84 tff(10210,plain,
% 8.21/5.84 (~m_main_v_state1(s124, c_c1)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10209, 539, 10198])).
% 8.21/5.84 tff(10211,plain,
% 8.21/5.84 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10212,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10213,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 8.21/5.84 tff(10214,plain,
% 8.21/5.84 (~node10(s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10213, 675, 10210])).
% 8.21/5.84 tff(10215,plain,
% 8.21/5.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10216,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10217,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 8.21/5.84 tff(10218,plain,
% 8.21/5.84 (~node9(s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10217, 686, 10202])).
% 8.21/5.84 tff(10219,plain,
% 8.21/5.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10220,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10221,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 8.21/5.84 tff(10222,plain,
% 8.21/5.84 (~m_main_v_state2(s124, c_n2)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10221, 697, 10181])).
% 8.21/5.84 tff(10223,plain,
% 8.21/5.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10224,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10225,plain,
% 8.21/5.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 8.21/5.84 tff(10226,plain,
% 8.21/5.84 (~node8(s124)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10225, 271, 10222])).
% 8.21/5.84 tff(10227,plain,
% 8.21/5.84 (succ(s124, s125) <=> succ(s124, s125)),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10228,axiom,(succ(s124, s125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound125')).
% 8.21/5.84 tff(10229,plain,
% 8.21/5.84 (succ(s124, s125)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 8.21/5.84 tff(10230,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10231,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10232,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 8.21/5.84 tff(10233,plain,
% 8.21/5.84 (trans(s124, s125)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10232, 10229, 32])).
% 8.21/5.84 tff(10234,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10235,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10236,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125)),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 8.21/5.84 tff(10237,plain,
% 8.21/5.84 (node14(s124, s125)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10236, 46, 10233])).
% 8.21/5.84 tff(10238,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10239,plain,
% 8.21/5.84 (((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2)) <=> (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10240,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))))),
% 8.21/5.84 inference(monotonicity,[status(thm)],[10239])).
% 8.21/5.84 tff(10241,plain,
% 8.21/5.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 8.21/5.84 inference(transitivity,[status(thm)],[10240, 10238])).
% 8.21/5.84 tff(10242,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))),
% 8.21/5.84 inference(quant_inst,[status(thm)],[])).
% 8.21/5.84 tff(10243,plain,
% 8.21/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))),
% 8.21/5.84 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 8.21/5.84 tff(10244,plain,
% 8.21/5.84 (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~m_main_v_state2(s124, c_c2))),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10243, 726, 10237])).
% 8.21/5.84 tff(10245,plain,
% 8.21/5.84 (m_main_v_state2(s125, c_n2)),
% 8.21/5.84 inference(unit_resolution,[status(thm)],[10244, 10226, 10181, 10218, 10214, 10206, 10189])).
% 8.21/5.84 tff(10246,plain,
% 8.21/5.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))),
% 8.21/5.84 inference(rewrite,[status(thm)],[])).
% 8.21/5.84 tff(10247,plain,
% 8.21/5.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10248,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10247, 10246])).
% 8.21/5.85 tff(10249,plain,
% 8.21/5.85 (~m_main_v_state2(s125, c_c2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10248, 697, 10245])).
% 8.21/5.85 tff(10250,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10251,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10252,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 8.21/5.85 tff(10253,plain,
% 8.21/5.85 (~node3(s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10252, 399, 10249])).
% 8.21/5.85 tff(10254,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10255,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10256,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 8.21/5.85 tff(10257,plain,
% 8.21/5.85 (~node1(s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10256, 421, 10202])).
% 8.21/5.85 tff(10258,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10259,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10260,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 8.21/5.85 tff(10261,plain,
% 8.21/5.85 (node18(s123, s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10260, 125, 10172])).
% 8.21/5.85 tff(10262,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10263,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10264,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 8.21/5.85 tff(10265,plain,
% 8.21/5.85 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_turn(s124, c_2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10264, 760, 10261])).
% 8.21/5.85 tff(10266,plain,
% 8.21/5.85 (m_main_v_turn(s124, c_2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10265, 10125, 10161])).
% 8.21/5.85 tff(10267,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10268,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10269,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 8.21/5.85 tff(10270,plain,
% 8.21/5.85 (~m_main_v_turn(s124, c_1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10269, 156, 10266])).
% 8.21/5.85 tff(10271,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10272,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10273,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10272, 10271])).
% 8.21/5.85 tff(10274,plain,
% 8.21/5.85 (~node5(s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10273, 776, 10270])).
% 8.21/5.85 tff(10275,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10276,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10277,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 8.21/5.85 tff(10278,plain,
% 8.21/5.85 (~node2(s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10277, 787, 10202])).
% 8.21/5.85 tff(10279,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10280,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10281,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 8.21/5.85 tff(10282,plain,
% 8.21/5.85 (~node3(s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10281, 798, 10202])).
% 8.21/5.85 tff(10283,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10284,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10285,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 8.21/5.85 tff(10286,plain,
% 8.21/5.85 (~node4(s124)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10285, 388, 10222])).
% 8.21/5.85 tff(10287,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10288,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10289,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 8.21/5.85 tff(10290,plain,
% 8.21/5.85 (node7(s124, s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10289, 206, 10233])).
% 8.21/5.85 tff(10291,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10292,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10293,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10292, 10291])).
% 8.21/5.85 tff(10294,plain,
% 8.21/5.85 (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10293, 820, 10290])).
% 8.21/5.85 tff(10295,plain,
% 8.21/5.85 (node6(s124, s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10294, 10286, 10210, 10282, 10278, 10274, 10257])).
% 8.21/5.85 tff(10296,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10297,plain,
% 8.21/5.85 (((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1))) <=> (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10298,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))))),
% 8.21/5.85 inference(monotonicity,[status(thm)],[10297])).
% 8.21/5.85 tff(10299,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 8.21/5.85 inference(transitivity,[status(thm)],[10298, 10296])).
% 8.21/5.85 tff(10300,plain,
% 8.21/5.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10301,plain,
% 8.21/5.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 8.21/5.85 tff(10302,plain,
% 8.21/5.85 (~m_main_v_state1(s125, c_n1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10301, 835, 10202, 10295])).
% 8.21/5.85 tff(10303,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10304,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10305,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 8.21/5.85 tff(10306,plain,
% 8.21/5.85 (~node2(s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10305, 787, 10302])).
% 8.21/5.85 tff(10307,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10308,plain,
% 8.21/5.85 (((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1)) <=> ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10309,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))))),
% 8.21/5.85 inference(monotonicity,[status(thm)],[10308])).
% 8.21/5.85 tff(10310,plain,
% 8.21/5.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 8.21/5.85 inference(transitivity,[status(thm)],[10309, 10307])).
% 8.21/5.85 tff(10311,plain,
% 8.21/5.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10312,plain,
% 8.21/5.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 8.21/5.85 tff(10313,plain,
% 8.21/5.85 (m_main_v_state1(s125, c_t1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10312, 856, 10198, 10295])).
% 8.21/5.85 tff(10314,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10315,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10316,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 8.21/5.85 tff(10317,plain,
% 8.21/5.85 (~m_main_v_state2(s125, c_t2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10316, 77, 10245])).
% 8.21/5.85 tff(10318,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10319,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10320,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 8.21/5.85 tff(10321,plain,
% 8.21/5.85 (~node1(s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10320, 195, 10317])).
% 8.21/5.85 tff(10322,plain,
% 8.21/5.85 (succ(s125, s126) <=> succ(s125, s126)),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10323,axiom,(succ(s125, s126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound126')).
% 8.21/5.85 tff(10324,plain,
% 8.21/5.85 (succ(s125, s126)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 8.21/5.85 tff(10325,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10326,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10327,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 8.21/5.85 tff(10328,plain,
% 8.21/5.85 (trans(s125, s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10327, 10324, 32])).
% 8.21/5.85 tff(10329,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10330,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10331,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 8.21/5.85 tff(10332,plain,
% 8.21/5.85 (node7(s125, s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10331, 206, 10328])).
% 8.21/5.85 tff(10333,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10334,plain,
% 8.21/5.85 (((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1)) <=> ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10335,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126))))),
% 8.21/5.85 inference(monotonicity,[status(thm)],[10334])).
% 8.21/5.85 tff(10336,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 8.21/5.85 inference(transitivity,[status(thm)],[10335, 10333])).
% 8.21/5.85 tff(10337,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10338,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 8.21/5.85 tff(10339,plain,
% 8.21/5.85 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10338, 892, 10332])).
% 8.21/5.85 tff(10340,plain,
% 8.21/5.85 (m_main_v_state1(s126, c_c1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10339, 10321, 10245, 10313, 10306, 10253])).
% 8.21/5.85 tff(10341,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10342,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10343,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 8.21/5.85 tff(10344,plain,
% 8.21/5.85 (~m_main_v_state1(s126, c_t1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10343, 539, 10340])).
% 8.21/5.85 tff(10345,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10346,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10347,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 8.21/5.85 tff(10348,plain,
% 8.21/5.85 (~node5(s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10347, 550, 10344])).
% 8.21/5.85 tff(10349,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10350,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10351,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 8.21/5.85 tff(10352,plain,
% 8.21/5.85 (node14(s125, s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10351, 46, 10328])).
% 8.21/5.85 tff(10353,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10354,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10355,plain,
% 8.21/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 8.21/5.85 tff(10356,plain,
% 8.21/5.85 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state2(s126, c_t2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10355, 922, 10352])).
% 8.21/5.85 tff(10357,plain,
% 8.21/5.85 (m_main_v_state2(s126, c_t2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10356, 10313, 10245])).
% 8.21/5.85 tff(10358,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10359,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10360,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 8.21/5.85 tff(10361,plain,
% 8.21/5.85 (~m_main_v_state2(s126, c_n2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10360, 77, 10357])).
% 8.21/5.85 tff(10362,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10363,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10364,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 8.21/5.85 tff(10365,plain,
% 8.21/5.85 (~node4(s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10364, 388, 10361])).
% 8.21/5.85 tff(10366,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10367,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10368,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 8.21/5.85 tff(10369,plain,
% 8.21/5.85 (~m_main_v_state2(s126, c_c2)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10368, 260, 10357])).
% 8.21/5.85 tff(10370,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10371,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10372,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 8.21/5.85 tff(10373,plain,
% 8.21/5.85 (~node3(s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10372, 399, 10369])).
% 8.21/5.85 tff(10374,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10375,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10376,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 8.21/5.85 tff(10377,plain,
% 8.21/5.85 (~node2(s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10376, 410, 10361])).
% 8.21/5.85 tff(10378,plain,
% 8.21/5.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10379,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10380,plain,
% 8.21/5.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 8.21/5.85 tff(10381,plain,
% 8.21/5.85 (~m_main_v_state1(s126, c_n1)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10380, 454, 10340])).
% 8.21/5.85 tff(10382,plain,
% 8.21/5.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10383,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 8.21/5.85 inference(quant_inst,[status(thm)],[])).
% 8.21/5.85 tff(10384,plain,
% 8.21/5.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126))),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10383, 10382])).
% 8.21/5.85 tff(10385,plain,
% 8.21/5.85 (~node1(s126)),
% 8.21/5.85 inference(unit_resolution,[status(thm)],[10384, 421, 10381])).
% 8.21/5.85 tff(10386,plain,
% 8.21/5.85 (succ(s126, s127) <=> succ(s126, s127)),
% 8.21/5.85 inference(rewrite,[status(thm)],[])).
% 8.21/5.85 tff(10387,axiom,(succ(s126, s127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound127')).
% 8.21/5.85 tff(10388,plain,
% 8.21/5.85 (succ(s126, s127)),
% 8.21/5.85 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 8.21/5.85 tff(10389,plain,
% 8.21/5.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10390,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10391,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 8.21/5.86 tff(10392,plain,
% 8.21/5.86 (trans(s126, s127)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10391, 10388, 32])).
% 8.21/5.86 tff(10393,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10394,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10395,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 8.21/5.86 tff(10396,plain,
% 8.21/5.86 (node7(s126, s127)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10395, 206, 10392])).
% 8.21/5.86 tff(10397,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10398,plain,
% 8.21/5.86 (((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1)) <=> (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10399,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))))),
% 8.21/5.86 inference(monotonicity,[status(thm)],[10398])).
% 8.21/5.86 tff(10400,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 8.21/5.86 inference(transitivity,[status(thm)],[10399, 10397])).
% 8.21/5.86 tff(10401,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10402,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 8.21/5.86 tff(10403,plain,
% 8.21/5.86 (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10402, 584, 10396])).
% 8.21/5.86 tff(10404,plain,
% 8.21/5.86 (m_main_v_state1(s127, c_n1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10403, 10385, 10340, 10377, 10373, 10365, 10348])).
% 8.21/5.86 tff(10405,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10406,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10407,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 8.21/5.86 tff(10408,plain,
% 8.21/5.86 (~node15(s125)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10407, 103, 10317])).
% 8.21/5.86 tff(10409,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10410,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10411,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 8.21/5.86 tff(10412,plain,
% 8.21/5.86 (node18(s125, s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10411, 125, 10328])).
% 8.21/5.86 tff(10413,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10414,plain,
% 8.21/5.86 (((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1)) <=> (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10415,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)))),
% 8.21/5.86 inference(monotonicity,[status(thm)],[10414])).
% 8.21/5.86 tff(10416,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 8.21/5.86 inference(transitivity,[status(thm)],[10415, 10413])).
% 8.21/5.86 tff(10417,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10418,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 8.21/5.86 tff(10419,plain,
% 8.21/5.86 (node15(s125) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10418, 992, 10412])).
% 8.21/5.86 tff(10420,plain,
% 8.21/5.86 (m_main_v_turn(s126, c_1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10419, 10408, 10245, 10313])).
% 8.21/5.86 tff(10421,plain,
% 8.21/5.86 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10422,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10423,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 8.21/5.86 tff(10424,plain,
% 8.21/5.86 (~m_main_v_turn(s126, c_2)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10423, 156, 10420])).
% 8.21/5.86 tff(10425,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10426,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10427,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 8.21/5.86 tff(10428,plain,
% 8.21/5.86 (~node12(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10427, 184, 10424])).
% 8.21/5.86 tff(10429,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10430,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10431,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 8.21/5.86 tff(10432,plain,
% 8.21/5.86 (~node8(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10431, 271, 10361])).
% 8.21/5.86 tff(10433,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10434,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10435,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 8.21/5.86 tff(10436,plain,
% 8.21/5.86 (~node9(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10435, 88, 10361])).
% 8.21/5.86 tff(10437,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10438,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10439,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10438, 10437])).
% 8.21/5.86 tff(10440,plain,
% 8.21/5.86 (~node10(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10439, 249, 10361])).
% 8.21/5.86 tff(10441,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10442,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10443,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 8.21/5.86 tff(10444,plain,
% 8.21/5.86 (~node11(s126)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10443, 238, 10381])).
% 8.21/5.86 tff(10445,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10446,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10447,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 8.21/5.86 tff(10448,plain,
% 8.21/5.86 (node14(s126, s127)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10447, 46, 10392])).
% 8.21/5.86 tff(10449,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10450,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10451,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 8.21/5.86 tff(10452,plain,
% 8.21/5.86 (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10451, 296, 10448])).
% 8.21/5.86 tff(10453,plain,
% 8.21/5.86 (node13(s126, s127)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10452, 10444, 10369, 10440, 10436, 10432, 10428])).
% 8.21/5.86 tff(10454,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10455,plain,
% 8.21/5.86 (((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2)) <=> ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10456,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))))),
% 8.21/5.86 inference(monotonicity,[status(thm)],[10455])).
% 8.21/5.86 tff(10457,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 8.21/5.86 inference(transitivity,[status(thm)],[10456, 10454])).
% 8.21/5.86 tff(10458,plain,
% 8.21/5.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10459,plain,
% 8.21/5.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 8.21/5.86 tff(10460,plain,
% 8.21/5.86 (m_main_v_state2(s127, c_t2)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10459, 518, 10357, 10453])).
% 8.21/5.86 tff(10461,plain,
% 8.21/5.86 (succ(s127, s128) <=> succ(s127, s128)),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10462,axiom,(succ(s127, s128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound128')).
% 8.21/5.86 tff(10463,plain,
% 8.21/5.86 (succ(s127, s128)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 8.21/5.86 tff(10464,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10465,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10466,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 8.21/5.86 tff(10467,plain,
% 8.21/5.86 (trans(s127, s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10466, 10463, 32])).
% 8.21/5.86 tff(10468,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10469,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10470,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 8.21/5.86 tff(10471,plain,
% 8.21/5.86 (node7(s127, s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10470, 206, 10467])).
% 8.21/5.86 tff(10472,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10473,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10474,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 8.21/5.86 tff(10475,plain,
% 8.21/5.86 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_state1(s128, c_t1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10474, 651, 10471])).
% 8.21/5.86 tff(10476,plain,
% 8.21/5.86 (m_main_v_state1(s128, c_t1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10475, 10460, 10404])).
% 8.21/5.86 tff(10477,plain,
% 8.21/5.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10478,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10479,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 8.21/5.86 tff(10480,plain,
% 8.21/5.86 (~m_main_v_state1(s128, c_n1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10479, 10, 10476])).
% 8.21/5.86 tff(10481,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10482,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10483,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 8.21/5.86 tff(10484,plain,
% 8.21/5.86 (~node1(s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10483, 421, 10480])).
% 8.21/5.86 tff(10485,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10486,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10487,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10486, 10485])).
% 8.21/5.86 tff(10488,plain,
% 8.21/5.86 (node18(s127, s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10487, 125, 10467])).
% 8.21/5.86 tff(10489,plain,
% 8.21/5.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10490,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10491,plain,
% 8.21/5.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2)),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 8.21/5.86 tff(10492,plain,
% 8.21/5.86 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_turn(s128, c_2)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10491, 760, 10488])).
% 8.21/5.86 tff(10493,plain,
% 8.21/5.86 (m_main_v_turn(s128, c_2)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10492, 10460, 10404])).
% 8.21/5.86 tff(10494,plain,
% 8.21/5.86 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10495,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10496,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 8.21/5.86 tff(10497,plain,
% 8.21/5.86 (~m_main_v_turn(s128, c_1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10496, 156, 10493])).
% 8.21/5.86 tff(10498,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10499,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10500,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 8.21/5.86 tff(10501,plain,
% 8.21/5.86 (~node5(s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10500, 776, 10497])).
% 8.21/5.86 tff(10502,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10503,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10504,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 8.21/5.86 tff(10505,plain,
% 8.21/5.86 (~node2(s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10504, 787, 10480])).
% 8.21/5.86 tff(10506,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10507,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10508,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10507, 10506])).
% 8.21/5.86 tff(10509,plain,
% 8.21/5.86 (~node3(s128)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10508, 798, 10480])).
% 8.21/5.86 tff(10510,plain,
% 8.21/5.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10511,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10512,plain,
% 8.21/5.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10511, 10510])).
% 8.21/5.86 tff(10513,plain,
% 8.21/5.86 (~m_main_v_state1(s128, c_c1)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10512, 539, 10476])).
% 8.21/5.86 tff(10514,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10515,plain,
% 8.21/5.86 (((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2))) <=> (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10516,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))))),
% 8.21/5.86 inference(monotonicity,[status(thm)],[10515])).
% 8.21/5.86 tff(10517,plain,
% 8.21/5.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 8.21/5.86 inference(transitivity,[status(thm)],[10516, 10514])).
% 8.21/5.86 tff(10518,plain,
% 8.21/5.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10519,plain,
% 8.21/5.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 8.21/5.86 tff(10520,plain,
% 8.21/5.86 (~m_main_v_state2(s127, c_n2)),
% 8.21/5.86 inference(unit_resolution,[status(thm)],[10519, 311, 10361, 10453])).
% 8.21/5.86 tff(10521,plain,
% 8.21/5.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 8.21/5.86 inference(rewrite,[status(thm)],[])).
% 8.21/5.86 tff(10522,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 8.21/5.86 inference(quant_inst,[status(thm)],[])).
% 8.21/5.86 tff(10523,plain,
% 8.21/5.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127))),
% 8.21/5.86 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 8.21/5.87 tff(10524,plain,
% 8.21/5.87 (~node9(s127)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10523, 88, 10520])).
% 8.21/5.87 tff(10525,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10526,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10527,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 8.21/5.87 tff(10528,plain,
% 8.21/5.87 (~node10(s127)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10527, 249, 10520])).
% 8.21/5.87 tff(10529,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10530,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10531,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 8.21/5.87 tff(10532,plain,
% 8.21/5.87 (~node8(s127)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10531, 271, 10520])).
% 8.21/5.87 tff(10533,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10534,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10535,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 8.21/5.87 tff(10536,plain,
% 8.21/5.87 (node14(s127, s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10535, 46, 10467])).
% 8.21/5.87 tff(10537,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10538,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10539,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 8.21/5.87 tff(10540,plain,
% 8.21/5.87 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | m_main_v_state2(s128, c_c2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10539, 617, 10536])).
% 8.21/5.87 tff(10541,plain,
% 8.21/5.87 (m_main_v_state2(s128, c_c2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10540, 10532, 10404, 10460, 10528, 10524])).
% 8.21/5.87 tff(10542,plain,
% 8.21/5.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10543,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10544,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 8.21/5.87 tff(10545,plain,
% 8.21/5.87 (~m_main_v_state2(s128, c_n2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10544, 697, 10541])).
% 8.21/5.87 tff(10546,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10547,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10548,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 8.21/5.87 tff(10549,plain,
% 8.21/5.87 (~node4(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10548, 388, 10545])).
% 8.21/5.87 tff(10550,plain,
% 8.21/5.87 (succ(s128, s129) <=> succ(s128, s129)),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10551,axiom,(succ(s128, s129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound129')).
% 8.21/5.87 tff(10552,plain,
% 8.21/5.87 (succ(s128, s129)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 8.21/5.87 tff(10553,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10554,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10555,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 8.21/5.87 tff(10556,plain,
% 8.21/5.87 (trans(s128, s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10555, 10552, 32])).
% 8.21/5.87 tff(10557,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10558,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10559,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 8.21/5.87 tff(10560,plain,
% 8.21/5.87 (node7(s128, s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10559, 206, 10556])).
% 8.21/5.87 tff(10561,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10562,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10563,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 8.21/5.87 tff(10564,plain,
% 8.21/5.87 (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10563, 820, 10560])).
% 8.21/5.87 tff(10565,plain,
% 8.21/5.87 (node6(s128, s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10564, 10549, 10513, 10509, 10505, 10501, 10484])).
% 8.21/5.87 tff(10566,plain,
% 8.21/5.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10567,plain,
% 8.21/5.87 (((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1)) <=> ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10568,plain,
% 8.21/5.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))))),
% 8.21/5.87 inference(monotonicity,[status(thm)],[10567])).
% 8.21/5.87 tff(10569,plain,
% 8.21/5.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 8.21/5.87 inference(transitivity,[status(thm)],[10568, 10566])).
% 8.21/5.87 tff(10570,plain,
% 8.21/5.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10571,plain,
% 8.21/5.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 8.21/5.87 tff(10572,plain,
% 8.21/5.87 (m_main_v_state1(s129, c_t1)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10571, 856, 10476, 10565])).
% 8.21/5.87 tff(10573,plain,
% 8.21/5.87 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10574,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10575,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 8.21/5.87 tff(10576,plain,
% 8.21/5.87 (~m_main_v_state2(s128, c_t2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10575, 260, 10541])).
% 8.21/5.87 tff(10577,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10578,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10579,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 8.21/5.87 tff(10580,plain,
% 8.21/5.87 (~node12(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10579, 633, 10576])).
% 8.21/5.87 tff(10581,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10582,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10583,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 8.21/5.87 tff(10584,plain,
% 8.21/5.87 (~node11(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10583, 238, 10480])).
% 8.21/5.87 tff(10585,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10586,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10587,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 8.21/5.87 tff(10588,plain,
% 8.21/5.87 (~node10(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10587, 675, 10513])).
% 8.21/5.87 tff(10589,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10590,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10591,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10590, 10589])).
% 8.21/5.87 tff(10592,plain,
% 8.21/5.87 (~node9(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10591, 686, 10480])).
% 8.21/5.87 tff(10593,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10594,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10595,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 8.21/5.87 tff(10596,plain,
% 8.21/5.87 (~node8(s128)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10595, 271, 10545])).
% 8.21/5.87 tff(10597,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10598,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10599,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 8.21/5.87 tff(10600,plain,
% 8.21/5.87 (node14(s128, s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10599, 46, 10556])).
% 8.21/5.87 tff(10601,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10602,plain,
% 8.21/5.87 (((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2)) <=> (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10603,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))))),
% 8.21/5.87 inference(monotonicity,[status(thm)],[10602])).
% 8.21/5.87 tff(10604,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 8.21/5.87 inference(transitivity,[status(thm)],[10603, 10601])).
% 8.21/5.87 tff(10605,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10606,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 8.21/5.87 tff(10607,plain,
% 8.21/5.87 (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~m_main_v_state2(s128, c_c2))),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10606, 726, 10600])).
% 8.21/5.87 tff(10608,plain,
% 8.21/5.87 (m_main_v_state2(s129, c_n2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10607, 10596, 10541, 10592, 10588, 10584, 10580])).
% 8.21/5.87 tff(10609,plain,
% 8.21/5.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10610,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10611,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 8.21/5.87 tff(10612,plain,
% 8.21/5.87 (~m_main_v_state2(s129, c_t2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10611, 77, 10608])).
% 8.21/5.87 tff(10613,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10614,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10615,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 8.21/5.87 tff(10616,plain,
% 8.21/5.87 (~node15(s129)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10615, 103, 10612])).
% 8.21/5.87 tff(10617,plain,
% 8.21/5.87 (succ(s129, s130) <=> succ(s129, s130)),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10618,axiom,(succ(s129, s130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound130')).
% 8.21/5.87 tff(10619,plain,
% 8.21/5.87 (succ(s129, s130)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 8.21/5.87 tff(10620,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10621,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10622,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 8.21/5.87 tff(10623,plain,
% 8.21/5.87 (trans(s129, s130)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10622, 10619, 32])).
% 8.21/5.87 tff(10624,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10625,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10626,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 8.21/5.87 tff(10627,plain,
% 8.21/5.87 (node18(s129, s130)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10626, 125, 10623])).
% 8.21/5.87 tff(10628,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10629,plain,
% 8.21/5.87 (((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1)) <=> (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10630,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)))),
% 8.21/5.87 inference(monotonicity,[status(thm)],[10629])).
% 8.21/5.87 tff(10631,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 8.21/5.87 inference(transitivity,[status(thm)],[10630, 10628])).
% 8.21/5.87 tff(10632,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10633,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 8.21/5.87 tff(10634,plain,
% 8.21/5.87 (node15(s129) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10633, 992, 10627])).
% 8.21/5.87 tff(10635,plain,
% 8.21/5.87 (m_main_v_turn(s130, c_1)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10634, 10616, 10608, 10572])).
% 8.21/5.87 tff(10636,plain,
% 8.21/5.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10637,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10638,plain,
% 8.21/5.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 8.21/5.87 tff(10639,plain,
% 8.21/5.87 (~m_main_v_turn(s130, c_2)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10638, 156, 10635])).
% 8.21/5.87 tff(10640,plain,
% 8.21/5.87 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10641,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10642,plain,
% 8.21/5.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130))),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 8.21/5.87 tff(10643,plain,
% 8.21/5.87 (~node12(s130)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10642, 184, 10639])).
% 8.21/5.87 tff(10644,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130))),
% 8.21/5.87 inference(rewrite,[status(thm)],[])).
% 8.21/5.87 tff(10645,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))),
% 8.21/5.87 inference(quant_inst,[status(thm)],[])).
% 8.21/5.87 tff(10646,plain,
% 8.21/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130)),
% 8.21/5.87 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 8.21/5.87 tff(10647,plain,
% 8.21/5.87 (node14(s129, s130)),
% 8.21/5.87 inference(unit_resolution,[status(thm)],[10646, 46, 10623])).
% 8.21/5.87 tff(10648,plain,
% 8.21/5.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10649,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10650,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 8.21/5.88 tff(10651,plain,
% 8.21/5.88 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state2(s130, c_t2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10650, 922, 10647])).
% 8.21/5.88 tff(10652,plain,
% 8.21/5.88 (m_main_v_state2(s130, c_t2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10651, 10572, 10608])).
% 8.21/5.88 tff(10653,plain,
% 8.21/5.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10654,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10655,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 8.21/5.88 tff(10656,plain,
% 8.21/5.88 (~m_main_v_state2(s130, c_n2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10655, 77, 10652])).
% 8.21/5.88 tff(10657,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10658,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10659,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 8.21/5.88 tff(10660,plain,
% 8.21/5.88 (~node8(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10659, 271, 10656])).
% 8.21/5.88 tff(10661,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10662,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10663,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 8.21/5.88 tff(10664,plain,
% 8.21/5.88 (~node9(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10663, 88, 10656])).
% 8.21/5.88 tff(10665,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10666,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10667,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 8.21/5.88 tff(10668,plain,
% 8.21/5.88 (~node10(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10667, 249, 10656])).
% 8.21/5.88 tff(10669,plain,
% 8.21/5.88 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10670,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10671,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10670, 10669])).
% 8.21/5.88 tff(10672,plain,
% 8.21/5.88 (~m_main_v_state2(s130, c_c2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10671, 260, 10652])).
% 8.21/5.88 tff(10673,plain,
% 8.21/5.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10674,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10675,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 8.21/5.88 tff(10676,plain,
% 8.21/5.88 (~m_main_v_state2(s129, c_c2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10675, 697, 10608])).
% 8.21/5.88 tff(10677,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10678,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10679,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 8.21/5.88 tff(10680,plain,
% 8.21/5.88 (~node3(s129)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10679, 399, 10676])).
% 8.21/5.88 tff(10681,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10682,plain,
% 8.21/5.88 (((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1))) <=> (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10683,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))))),
% 8.21/5.88 inference(monotonicity,[status(thm)],[10682])).
% 8.21/5.88 tff(10684,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 8.21/5.88 inference(transitivity,[status(thm)],[10683, 10681])).
% 8.21/5.88 tff(10685,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10686,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 8.21/5.88 tff(10687,plain,
% 8.21/5.88 (~m_main_v_state1(s129, c_n1)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10686, 835, 10480, 10565])).
% 8.21/5.88 tff(10688,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10689,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10690,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 8.21/5.88 tff(10691,plain,
% 8.21/5.88 (~node2(s129)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10690, 787, 10687])).
% 8.21/5.88 tff(10692,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10693,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10694,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 8.21/5.88 tff(10695,plain,
% 8.21/5.88 (~node1(s129)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10694, 195, 10612])).
% 8.21/5.88 tff(10696,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10697,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10698,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 8.21/5.88 tff(10699,plain,
% 8.21/5.88 (node7(s129, s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10698, 206, 10623])).
% 8.21/5.88 tff(10700,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10701,plain,
% 8.21/5.88 (((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1)) <=> ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10702,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130))))),
% 8.21/5.88 inference(monotonicity,[status(thm)],[10701])).
% 8.21/5.88 tff(10703,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 8.21/5.88 inference(transitivity,[status(thm)],[10702, 10700])).
% 8.21/5.88 tff(10704,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10705,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 8.21/5.88 tff(10706,plain,
% 8.21/5.88 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10705, 892, 10699])).
% 8.21/5.88 tff(10707,plain,
% 8.21/5.88 (m_main_v_state1(s130, c_c1)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10706, 10695, 10608, 10572, 10691, 10680])).
% 8.21/5.88 tff(10708,plain,
% 8.21/5.88 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10709,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10710,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 8.21/5.88 tff(10711,plain,
% 8.21/5.88 (~m_main_v_state1(s130, c_n1)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10710, 454, 10707])).
% 8.21/5.88 tff(10712,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10713,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10714,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 8.21/5.88 tff(10715,plain,
% 8.21/5.88 (~node11(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10714, 238, 10711])).
% 8.21/5.88 tff(10716,plain,
% 8.21/5.88 (succ(s130, s131) <=> succ(s130, s131)),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10717,axiom,(succ(s130, s131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound131')).
% 8.21/5.88 tff(10718,plain,
% 8.21/5.88 (succ(s130, s131)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 8.21/5.88 tff(10719,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10720,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10721,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 8.21/5.88 tff(10722,plain,
% 8.21/5.88 (trans(s130, s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10721, 10718, 32])).
% 8.21/5.88 tff(10723,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10724,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10725,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 8.21/5.88 tff(10726,plain,
% 8.21/5.88 (node14(s130, s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10725, 46, 10722])).
% 8.21/5.88 tff(10727,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10728,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10729,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10728, 10727])).
% 8.21/5.88 tff(10730,plain,
% 8.21/5.88 (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10729, 296, 10726])).
% 8.21/5.88 tff(10731,plain,
% 8.21/5.88 (node13(s130, s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10730, 10715, 10672, 10668, 10664, 10660, 10643])).
% 8.21/5.88 tff(10732,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10733,plain,
% 8.21/5.88 (((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2))) <=> (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10734,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))))),
% 8.21/5.88 inference(monotonicity,[status(thm)],[10733])).
% 8.21/5.88 tff(10735,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 8.21/5.88 inference(transitivity,[status(thm)],[10734, 10732])).
% 8.21/5.88 tff(10736,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10737,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 8.21/5.88 tff(10738,plain,
% 8.21/5.88 (~m_main_v_state2(s131, c_n2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10737, 311, 10656, 10731])).
% 8.21/5.88 tff(10739,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10740,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10741,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10740, 10739])).
% 8.21/5.88 tff(10742,plain,
% 8.21/5.88 (~node9(s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10741, 88, 10738])).
% 8.21/5.88 tff(10743,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10744,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10745,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 8.21/5.88 tff(10746,plain,
% 8.21/5.88 (~node10(s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10745, 249, 10738])).
% 8.21/5.88 tff(10747,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10748,plain,
% 8.21/5.88 (((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2)) <=> ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10749,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))))),
% 8.21/5.88 inference(monotonicity,[status(thm)],[10748])).
% 8.21/5.88 tff(10750,plain,
% 8.21/5.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 8.21/5.88 inference(transitivity,[status(thm)],[10749, 10747])).
% 8.21/5.88 tff(10751,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10752,plain,
% 8.21/5.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 8.21/5.88 tff(10753,plain,
% 8.21/5.88 (m_main_v_state2(s131, c_t2)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10752, 518, 10652, 10731])).
% 8.21/5.88 tff(10754,plain,
% 8.21/5.88 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10755,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10756,plain,
% 8.21/5.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 8.21/5.88 tff(10757,plain,
% 8.21/5.88 (~m_main_v_state1(s130, c_t1)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10756, 539, 10707])).
% 8.21/5.88 tff(10758,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10759,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10760,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 8.21/5.88 tff(10761,plain,
% 8.21/5.88 (~node5(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10760, 550, 10757])).
% 8.21/5.88 tff(10762,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10763,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10764,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 8.21/5.88 tff(10765,plain,
% 8.21/5.88 (~node4(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10764, 388, 10656])).
% 8.21/5.88 tff(10766,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10767,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10768,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 8.21/5.88 tff(10769,plain,
% 8.21/5.88 (~node3(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10768, 399, 10672])).
% 8.21/5.88 tff(10770,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10771,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10772,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 8.21/5.88 tff(10773,plain,
% 8.21/5.88 (~node2(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10772, 410, 10656])).
% 8.21/5.88 tff(10774,plain,
% 8.21/5.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10775,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10776,plain,
% 8.21/5.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130))),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 8.21/5.88 tff(10777,plain,
% 8.21/5.88 (~node1(s130)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10776, 421, 10711])).
% 8.21/5.88 tff(10778,plain,
% 8.21/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131))),
% 8.21/5.88 inference(rewrite,[status(thm)],[])).
% 8.21/5.88 tff(10779,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))),
% 8.21/5.88 inference(quant_inst,[status(thm)],[])).
% 8.21/5.88 tff(10780,plain,
% 8.21/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131)),
% 8.21/5.88 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 8.21/5.88 tff(10781,plain,
% 8.21/5.88 (node7(s130, s131)),
% 8.21/5.88 inference(unit_resolution,[status(thm)],[10780, 206, 10722])).
% 8.21/5.88 tff(10782,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10783,plain,
% 8.21/5.89 (((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1)) <=> (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10784,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))))),
% 8.21/5.89 inference(monotonicity,[status(thm)],[10783])).
% 8.21/5.89 tff(10785,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 8.21/5.89 inference(transitivity,[status(thm)],[10784, 10782])).
% 8.21/5.89 tff(10786,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10787,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 8.21/5.89 tff(10788,plain,
% 8.21/5.89 (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10787, 584, 10781])).
% 8.21/5.89 tff(10789,plain,
% 8.21/5.89 (m_main_v_state1(s131, c_n1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10788, 10777, 10707, 10773, 10769, 10765, 10761])).
% 8.21/5.89 tff(10790,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10791,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10792,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10791, 10790])).
% 8.21/5.89 tff(10793,plain,
% 8.21/5.89 (~node8(s131)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10792, 271, 10738])).
% 8.21/5.89 tff(10794,plain,
% 8.21/5.89 (succ(s131, s132) <=> succ(s131, s132)),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10795,axiom,(succ(s131, s132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound132')).
% 8.21/5.89 tff(10796,plain,
% 8.21/5.89 (succ(s131, s132)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10795, 10794])).
% 8.21/5.89 tff(10797,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10798,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10799,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 8.21/5.89 tff(10800,plain,
% 8.21/5.89 (trans(s131, s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10799, 10796, 32])).
% 8.21/5.89 tff(10801,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10802,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10803,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10802, 10801])).
% 8.21/5.89 tff(10804,plain,
% 8.21/5.89 (node14(s131, s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10803, 46, 10800])).
% 8.21/5.89 tff(10805,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10806,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10807,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 8.21/5.89 tff(10808,plain,
% 8.21/5.89 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | m_main_v_state2(s132, c_c2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10807, 617, 10804])).
% 8.21/5.89 tff(10809,plain,
% 8.21/5.89 (m_main_v_state2(s132, c_c2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10808, 10793, 10789, 10753, 10746, 10742])).
% 8.21/5.89 tff(10810,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10811,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10812,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 8.21/5.89 tff(10813,plain,
% 8.21/5.89 (~m_main_v_state2(s132, c_t2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10812, 260, 10809])).
% 8.21/5.89 tff(10814,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10815,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10816,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 8.21/5.89 tff(10817,plain,
% 8.21/5.89 (~node12(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10816, 633, 10813])).
% 8.21/5.89 tff(10818,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10819,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10820,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 8.21/5.89 tff(10821,plain,
% 8.21/5.89 (node7(s131, s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10820, 206, 10800])).
% 8.21/5.89 tff(10822,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10823,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10824,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 8.21/5.89 tff(10825,plain,
% 8.21/5.89 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_state1(s132, c_t1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10824, 651, 10821])).
% 8.21/5.89 tff(10826,plain,
% 8.21/5.89 (m_main_v_state1(s132, c_t1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10825, 10753, 10789])).
% 8.21/5.89 tff(10827,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10828,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10829,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 8.21/5.89 tff(10830,plain,
% 8.21/5.89 (~m_main_v_state1(s132, c_n1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10829, 10, 10826])).
% 8.21/5.89 tff(10831,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10832,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10833,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 8.21/5.89 tff(10834,plain,
% 8.21/5.89 (~node11(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10833, 238, 10830])).
% 8.21/5.89 tff(10835,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10836,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10837,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 8.21/5.89 tff(10838,plain,
% 8.21/5.89 (~m_main_v_state1(s132, c_c1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10837, 539, 10826])).
% 8.21/5.89 tff(10839,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10840,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10841,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10840, 10839])).
% 8.21/5.89 tff(10842,plain,
% 8.21/5.89 (~node10(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10841, 675, 10838])).
% 8.21/5.89 tff(10843,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10844,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10845,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 8.21/5.89 tff(10846,plain,
% 8.21/5.89 (~node9(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10845, 686, 10830])).
% 8.21/5.89 tff(10847,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10848,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10849,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 8.21/5.89 tff(10850,plain,
% 8.21/5.89 (~m_main_v_state2(s132, c_n2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10849, 697, 10809])).
% 8.21/5.89 tff(10851,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10852,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10853,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 8.21/5.89 tff(10854,plain,
% 8.21/5.89 (~node8(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10853, 271, 10850])).
% 8.21/5.89 tff(10855,plain,
% 8.21/5.89 (succ(s132, s133) <=> succ(s132, s133)),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10856,axiom,(succ(s132, s133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound133')).
% 8.21/5.89 tff(10857,plain,
% 8.21/5.89 (succ(s132, s133)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 8.21/5.89 tff(10858,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10859,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10860,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 8.21/5.89 tff(10861,plain,
% 8.21/5.89 (trans(s132, s133)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10860, 10857, 32])).
% 8.21/5.89 tff(10862,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10863,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10864,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 8.21/5.89 tff(10865,plain,
% 8.21/5.89 (node14(s132, s133)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10864, 46, 10861])).
% 8.21/5.89 tff(10866,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10867,plain,
% 8.21/5.89 (((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2)) <=> (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10868,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))))),
% 8.21/5.89 inference(monotonicity,[status(thm)],[10867])).
% 8.21/5.89 tff(10869,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 8.21/5.89 inference(transitivity,[status(thm)],[10868, 10866])).
% 8.21/5.89 tff(10870,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10871,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 8.21/5.89 tff(10872,plain,
% 8.21/5.89 (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~m_main_v_state2(s132, c_c2))),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10871, 726, 10865])).
% 8.21/5.89 tff(10873,plain,
% 8.21/5.89 (m_main_v_state2(s133, c_n2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10872, 10854, 10809, 10846, 10842, 10834, 10817])).
% 8.21/5.89 tff(10874,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10875,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10876,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 8.21/5.89 tff(10877,plain,
% 8.21/5.89 (~m_main_v_state2(s133, c_c2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10876, 697, 10873])).
% 8.21/5.89 tff(10878,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10879,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10880,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 8.21/5.89 tff(10881,plain,
% 8.21/5.89 (~node3(s133)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10880, 399, 10877])).
% 8.21/5.89 tff(10882,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10883,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10884,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 8.21/5.89 tff(10885,plain,
% 8.21/5.89 (~node1(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10884, 421, 10830])).
% 8.21/5.89 tff(10886,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10887,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10888,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 8.21/5.89 tff(10889,plain,
% 8.21/5.89 (node18(s131, s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10888, 125, 10800])).
% 8.21/5.89 tff(10890,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10891,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10892,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 8.21/5.89 tff(10893,plain,
% 8.21/5.89 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_turn(s132, c_2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10892, 760, 10889])).
% 8.21/5.89 tff(10894,plain,
% 8.21/5.89 (m_main_v_turn(s132, c_2)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10893, 10753, 10789])).
% 8.21/5.89 tff(10895,plain,
% 8.21/5.89 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10896,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10897,plain,
% 8.21/5.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 8.21/5.89 tff(10898,plain,
% 8.21/5.89 (~m_main_v_turn(s132, c_1)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10897, 156, 10894])).
% 8.21/5.89 tff(10899,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10900,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10901,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10900, 10899])).
% 8.21/5.89 tff(10902,plain,
% 8.21/5.89 (~node5(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10901, 776, 10898])).
% 8.21/5.89 tff(10903,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10904,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10905,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 8.21/5.89 tff(10906,plain,
% 8.21/5.89 (~node2(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10905, 787, 10830])).
% 8.21/5.89 tff(10907,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10908,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10909,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 8.21/5.89 tff(10910,plain,
% 8.21/5.89 (~node3(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10909, 798, 10830])).
% 8.21/5.89 tff(10911,plain,
% 8.21/5.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10912,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10913,plain,
% 8.21/5.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132))),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 8.21/5.89 tff(10914,plain,
% 8.21/5.89 (~node4(s132)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10913, 388, 10850])).
% 8.21/5.89 tff(10915,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.89 tff(10916,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))),
% 8.21/5.89 inference(quant_inst,[status(thm)],[])).
% 8.21/5.89 tff(10917,plain,
% 8.21/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133)),
% 8.21/5.89 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 8.21/5.89 tff(10918,plain,
% 8.21/5.89 (node7(s132, s133)),
% 8.21/5.89 inference(unit_resolution,[status(thm)],[10917, 206, 10861])).
% 8.21/5.89 tff(10919,plain,
% 8.21/5.89 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 8.21/5.89 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10920,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10921,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 8.21/5.90 tff(10922,plain,
% 8.21/5.90 (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10921, 820, 10918])).
% 8.21/5.90 tff(10923,plain,
% 8.21/5.90 (node6(s132, s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10922, 10914, 10838, 10910, 10906, 10902, 10885])).
% 8.21/5.90 tff(10924,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10925,plain,
% 8.21/5.90 (((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1))) <=> (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10926,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))))),
% 8.21/5.90 inference(monotonicity,[status(thm)],[10925])).
% 8.21/5.90 tff(10927,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 8.21/5.90 inference(transitivity,[status(thm)],[10926, 10924])).
% 8.21/5.90 tff(10928,plain,
% 8.21/5.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10929,plain,
% 8.21/5.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 8.21/5.90 tff(10930,plain,
% 8.21/5.90 (~m_main_v_state1(s133, c_n1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10929, 835, 10830, 10923])).
% 8.21/5.90 tff(10931,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10932,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10933,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 8.21/5.90 tff(10934,plain,
% 8.21/5.90 (~node2(s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10933, 787, 10930])).
% 8.21/5.90 tff(10935,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10936,plain,
% 8.21/5.90 (((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1)) <=> ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10937,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133))))),
% 8.21/5.90 inference(monotonicity,[status(thm)],[10936])).
% 8.21/5.90 tff(10938,plain,
% 8.21/5.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 8.21/5.90 inference(transitivity,[status(thm)],[10937, 10935])).
% 8.21/5.90 tff(10939,plain,
% 8.21/5.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10940,plain,
% 8.21/5.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 8.21/5.90 tff(10941,plain,
% 8.21/5.90 (m_main_v_state1(s133, c_t1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10940, 856, 10826, 10923])).
% 8.21/5.90 tff(10942,plain,
% 8.21/5.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10943,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10944,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 8.21/5.90 tff(10945,plain,
% 8.21/5.90 (~m_main_v_state2(s133, c_t2)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10944, 77, 10873])).
% 8.21/5.90 tff(10946,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10947,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10948,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 8.21/5.90 tff(10949,plain,
% 8.21/5.90 (~node1(s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10948, 195, 10945])).
% 8.21/5.90 tff(10950,plain,
% 8.21/5.90 (succ(s133, s134) <=> succ(s133, s134)),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10951,axiom,(succ(s133, s134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound134')).
% 8.21/5.90 tff(10952,plain,
% 8.21/5.90 (succ(s133, s134)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 8.21/5.90 tff(10953,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10954,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10955,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 8.21/5.90 tff(10956,plain,
% 8.21/5.90 (trans(s133, s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10955, 10952, 32])).
% 8.21/5.90 tff(10957,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10958,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10959,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 8.21/5.90 tff(10960,plain,
% 8.21/5.90 (node7(s133, s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10959, 206, 10956])).
% 8.21/5.90 tff(10961,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10962,plain,
% 8.21/5.90 (((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1)) <=> ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10963,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134))))),
% 8.21/5.90 inference(monotonicity,[status(thm)],[10962])).
% 8.21/5.90 tff(10964,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 8.21/5.90 inference(transitivity,[status(thm)],[10963, 10961])).
% 8.21/5.90 tff(10965,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10966,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 8.21/5.90 tff(10967,plain,
% 8.21/5.90 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10966, 892, 10960])).
% 8.21/5.90 tff(10968,plain,
% 8.21/5.90 (m_main_v_state1(s134, c_c1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10967, 10949, 10873, 10941, 10934, 10881])).
% 8.21/5.90 tff(10969,plain,
% 8.21/5.90 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10970,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10971,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10970, 10969])).
% 8.21/5.90 tff(10972,plain,
% 8.21/5.90 (~m_main_v_state1(s134, c_t1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10971, 539, 10968])).
% 8.21/5.90 tff(10973,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10974,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10975,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10974, 10973])).
% 8.21/5.90 tff(10976,plain,
% 8.21/5.90 (~node5(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10975, 550, 10972])).
% 8.21/5.90 tff(10977,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10978,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10979,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 8.21/5.90 tff(10980,plain,
% 8.21/5.90 (node14(s133, s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10979, 46, 10956])).
% 8.21/5.90 tff(10981,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10982,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10983,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 8.21/5.90 tff(10984,plain,
% 8.21/5.90 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state2(s134, c_t2)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10983, 922, 10980])).
% 8.21/5.90 tff(10985,plain,
% 8.21/5.90 (m_main_v_state2(s134, c_t2)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10984, 10941, 10873])).
% 8.21/5.90 tff(10986,plain,
% 8.21/5.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10987,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10988,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 8.21/5.90 tff(10989,plain,
% 8.21/5.90 (~m_main_v_state2(s134, c_n2)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10988, 77, 10985])).
% 8.21/5.90 tff(10990,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10991,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10992,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 8.21/5.90 tff(10993,plain,
% 8.21/5.90 (~node4(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10992, 388, 10989])).
% 8.21/5.90 tff(10994,plain,
% 8.21/5.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10995,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(10996,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 8.21/5.90 tff(10997,plain,
% 8.21/5.90 (~m_main_v_state2(s134, c_c2)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[10996, 260, 10985])).
% 8.21/5.90 tff(10998,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(10999,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11000,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[10999, 10998])).
% 8.21/5.90 tff(11001,plain,
% 8.21/5.90 (~node3(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11000, 399, 10997])).
% 8.21/5.90 tff(11002,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11003,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11004,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 8.21/5.90 tff(11005,plain,
% 8.21/5.90 (~node2(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11004, 410, 10989])).
% 8.21/5.90 tff(11006,plain,
% 8.21/5.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11007,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11008,plain,
% 8.21/5.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 8.21/5.90 tff(11009,plain,
% 8.21/5.90 (~m_main_v_state1(s134, c_n1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11008, 454, 10968])).
% 8.21/5.90 tff(11010,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11011,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11012,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 8.21/5.90 tff(11013,plain,
% 8.21/5.90 (~node1(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11012, 421, 11009])).
% 8.21/5.90 tff(11014,plain,
% 8.21/5.90 (succ(s134, s135) <=> succ(s134, s135)),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11015,axiom,(succ(s134, s135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound135')).
% 8.21/5.90 tff(11016,plain,
% 8.21/5.90 (succ(s134, s135)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 8.21/5.90 tff(11017,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11018,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11019,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 8.21/5.90 tff(11020,plain,
% 8.21/5.90 (trans(s134, s135)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11019, 11016, 32])).
% 8.21/5.90 tff(11021,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11022,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11023,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 8.21/5.90 tff(11024,plain,
% 8.21/5.90 (node7(s134, s135)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11023, 206, 11020])).
% 8.21/5.90 tff(11025,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11026,plain,
% 8.21/5.90 (((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1)) <=> (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11027,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))))),
% 8.21/5.90 inference(monotonicity,[status(thm)],[11026])).
% 8.21/5.90 tff(11028,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 8.21/5.90 inference(transitivity,[status(thm)],[11027, 11025])).
% 8.21/5.90 tff(11029,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11030,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 8.21/5.90 tff(11031,plain,
% 8.21/5.90 (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11030, 584, 11024])).
% 8.21/5.90 tff(11032,plain,
% 8.21/5.90 (m_main_v_state1(s135, c_n1)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11031, 11013, 10968, 11005, 11001, 10993, 10976])).
% 8.21/5.90 tff(11033,plain,
% 8.21/5.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11034,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11035,plain,
% 8.21/5.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133))),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 8.21/5.90 tff(11036,plain,
% 8.21/5.90 (~node15(s133)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11035, 103, 10945])).
% 8.21/5.90 tff(11037,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11038,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11039,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 8.21/5.90 tff(11040,plain,
% 8.21/5.90 (node18(s133, s134)),
% 8.21/5.90 inference(unit_resolution,[status(thm)],[11039, 125, 10956])).
% 8.21/5.90 tff(11041,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11042,plain,
% 8.21/5.90 (((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1)) <=> (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 8.21/5.90 inference(rewrite,[status(thm)],[])).
% 8.21/5.90 tff(11043,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)))),
% 8.21/5.90 inference(monotonicity,[status(thm)],[11042])).
% 8.21/5.90 tff(11044,plain,
% 8.21/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 8.21/5.90 inference(transitivity,[status(thm)],[11043, 11041])).
% 8.21/5.90 tff(11045,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))),
% 8.21/5.90 inference(quant_inst,[status(thm)],[])).
% 8.21/5.90 tff(11046,plain,
% 8.21/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 8.21/5.90 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 8.21/5.90 tff(11047,plain,
% 8.21/5.90 (node15(s133) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11046, 992, 11040])).
% 8.21/5.91 tff(11048,plain,
% 8.21/5.91 (m_main_v_turn(s134, c_1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11047, 11036, 10873, 10941])).
% 8.21/5.91 tff(11049,plain,
% 8.21/5.91 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11050,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11051,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 8.21/5.91 tff(11052,plain,
% 8.21/5.91 (~m_main_v_turn(s134, c_2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11051, 156, 11048])).
% 8.21/5.91 tff(11053,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11054,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11055,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 8.21/5.91 tff(11056,plain,
% 8.21/5.91 (~node12(s134)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11055, 184, 11052])).
% 8.21/5.91 tff(11057,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11058,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11059,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 8.21/5.91 tff(11060,plain,
% 8.21/5.91 (~node8(s134)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11059, 271, 10989])).
% 8.21/5.91 tff(11061,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11062,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11063,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 8.21/5.91 tff(11064,plain,
% 8.21/5.91 (~node9(s134)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11063, 88, 10989])).
% 8.21/5.91 tff(11065,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11066,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11067,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11066, 11065])).
% 8.21/5.91 tff(11068,plain,
% 8.21/5.91 (~node10(s134)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11067, 249, 10989])).
% 8.21/5.91 tff(11069,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11070,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11071,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 8.21/5.91 tff(11072,plain,
% 8.21/5.91 (~node11(s134)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11071, 238, 11009])).
% 8.21/5.91 tff(11073,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11074,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11075,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 8.21/5.91 tff(11076,plain,
% 8.21/5.91 (node14(s134, s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11075, 46, 11020])).
% 8.21/5.91 tff(11077,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11078,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11079,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 8.21/5.91 tff(11080,plain,
% 8.21/5.91 (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11079, 296, 11076])).
% 8.21/5.91 tff(11081,plain,
% 8.21/5.91 (node13(s134, s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11080, 11072, 10997, 11068, 11064, 11060, 11056])).
% 8.21/5.91 tff(11082,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11083,plain,
% 8.21/5.91 (((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2)) <=> ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11084,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))))),
% 8.21/5.91 inference(monotonicity,[status(thm)],[11083])).
% 8.21/5.91 tff(11085,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 8.21/5.91 inference(transitivity,[status(thm)],[11084, 11082])).
% 8.21/5.91 tff(11086,plain,
% 8.21/5.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11087,plain,
% 8.21/5.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 8.21/5.91 tff(11088,plain,
% 8.21/5.91 (m_main_v_state2(s135, c_t2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11087, 518, 10985, 11081])).
% 8.21/5.91 tff(11089,plain,
% 8.21/5.91 (succ(s135, s136) <=> succ(s135, s136)),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11090,axiom,(succ(s135, s136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound136')).
% 8.21/5.91 tff(11091,plain,
% 8.21/5.91 (succ(s135, s136)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 8.21/5.91 tff(11092,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11093,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11094,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 8.21/5.91 tff(11095,plain,
% 8.21/5.91 (trans(s135, s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11094, 11091, 32])).
% 8.21/5.91 tff(11096,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11097,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11098,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 8.21/5.91 tff(11099,plain,
% 8.21/5.91 (node7(s135, s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11098, 206, 11095])).
% 8.21/5.91 tff(11100,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11101,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11102,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 8.21/5.91 tff(11103,plain,
% 8.21/5.91 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_state1(s136, c_t1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11102, 651, 11099])).
% 8.21/5.91 tff(11104,plain,
% 8.21/5.91 (m_main_v_state1(s136, c_t1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11103, 11088, 11032])).
% 8.21/5.91 tff(11105,plain,
% 8.21/5.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11106,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11107,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 8.21/5.91 tff(11108,plain,
% 8.21/5.91 (~m_main_v_state1(s136, c_n1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11107, 10, 11104])).
% 8.21/5.91 tff(11109,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11110,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11111,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11110, 11109])).
% 8.21/5.91 tff(11112,plain,
% 8.21/5.91 (~node1(s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11111, 421, 11108])).
% 8.21/5.91 tff(11113,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11114,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11115,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 8.21/5.91 tff(11116,plain,
% 8.21/5.91 (node18(s135, s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11115, 125, 11095])).
% 8.21/5.91 tff(11117,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11118,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11119,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 8.21/5.91 tff(11120,plain,
% 8.21/5.91 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_turn(s136, c_2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11119, 760, 11116])).
% 8.21/5.91 tff(11121,plain,
% 8.21/5.91 (m_main_v_turn(s136, c_2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11120, 11088, 11032])).
% 8.21/5.91 tff(11122,plain,
% 8.21/5.91 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11123,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11124,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 8.21/5.91 tff(11125,plain,
% 8.21/5.91 (~m_main_v_turn(s136, c_1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11124, 156, 11121])).
% 8.21/5.91 tff(11126,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11127,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11128,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11127, 11126])).
% 8.21/5.91 tff(11129,plain,
% 8.21/5.91 (~node5(s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11128, 776, 11125])).
% 8.21/5.91 tff(11130,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11131,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11132,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 8.21/5.91 tff(11133,plain,
% 8.21/5.91 (~node2(s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11132, 787, 11108])).
% 8.21/5.91 tff(11134,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11135,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11136,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11135, 11134])).
% 8.21/5.91 tff(11137,plain,
% 8.21/5.91 (~node3(s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11136, 798, 11108])).
% 8.21/5.91 tff(11138,plain,
% 8.21/5.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11139,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11140,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 8.21/5.91 tff(11141,plain,
% 8.21/5.91 (~m_main_v_state1(s136, c_c1)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11140, 539, 11104])).
% 8.21/5.91 tff(11142,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11143,plain,
% 8.21/5.91 (((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2))) <=> (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11144,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))))),
% 8.21/5.91 inference(monotonicity,[status(thm)],[11143])).
% 8.21/5.91 tff(11145,plain,
% 8.21/5.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 8.21/5.91 inference(transitivity,[status(thm)],[11144, 11142])).
% 8.21/5.91 tff(11146,plain,
% 8.21/5.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11147,plain,
% 8.21/5.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 8.21/5.91 tff(11148,plain,
% 8.21/5.91 (~m_main_v_state2(s135, c_n2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11147, 311, 10989, 11081])).
% 8.21/5.91 tff(11149,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11150,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11151,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 8.21/5.91 tff(11152,plain,
% 8.21/5.91 (~node9(s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11151, 88, 11148])).
% 8.21/5.91 tff(11153,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11154,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11155,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11154, 11153])).
% 8.21/5.91 tff(11156,plain,
% 8.21/5.91 (~node10(s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11155, 249, 11148])).
% 8.21/5.91 tff(11157,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11158,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11159,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 8.21/5.91 tff(11160,plain,
% 8.21/5.91 (~node8(s135)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11159, 271, 11148])).
% 8.21/5.91 tff(11161,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11162,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11163,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 8.21/5.91 tff(11164,plain,
% 8.21/5.91 (node14(s135, s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11163, 46, 11095])).
% 8.21/5.91 tff(11165,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11166,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11167,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 8.21/5.91 tff(11168,plain,
% 8.21/5.91 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | m_main_v_state2(s136, c_c2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11167, 617, 11164])).
% 8.21/5.91 tff(11169,plain,
% 8.21/5.91 (m_main_v_state2(s136, c_c2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11168, 11160, 11032, 11088, 11156, 11152])).
% 8.21/5.91 tff(11170,plain,
% 8.21/5.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11171,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11172,plain,
% 8.21/5.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 8.21/5.91 tff(11173,plain,
% 8.21/5.91 (~m_main_v_state2(s136, c_n2)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11172, 697, 11169])).
% 8.21/5.91 tff(11174,plain,
% 8.21/5.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11175,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11176,plain,
% 8.21/5.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 8.21/5.91 tff(11177,plain,
% 8.21/5.91 (~node4(s136)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11176, 388, 11173])).
% 8.21/5.91 tff(11178,plain,
% 8.21/5.91 (succ(s136, s137) <=> succ(s136, s137)),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11179,axiom,(succ(s136, s137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound137')).
% 8.21/5.91 tff(11180,plain,
% 8.21/5.91 (succ(s136, s137)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11179, 11178])).
% 8.21/5.91 tff(11181,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11182,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11183,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 8.21/5.91 tff(11184,plain,
% 8.21/5.91 (trans(s136, s137)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11183, 11180, 32])).
% 8.21/5.91 tff(11185,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11186,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11187,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137)),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 8.21/5.91 tff(11188,plain,
% 8.21/5.91 (node7(s136, s137)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11187, 206, 11184])).
% 8.21/5.91 tff(11189,plain,
% 8.21/5.91 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 8.21/5.91 inference(rewrite,[status(thm)],[])).
% 8.21/5.91 tff(11190,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 8.21/5.91 inference(quant_inst,[status(thm)],[])).
% 8.21/5.91 tff(11191,plain,
% 8.21/5.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137))),
% 8.21/5.91 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 8.21/5.91 tff(11192,plain,
% 8.21/5.91 (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11191, 820, 11188])).
% 8.21/5.91 tff(11193,plain,
% 8.21/5.91 (node6(s136, s137)),
% 8.21/5.91 inference(unit_resolution,[status(thm)],[11192, 11177, 11141, 11137, 11133, 11129, 11112])).
% 8.21/5.92 tff(11194,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11195,plain,
% 8.21/5.92 (((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1)) <=> ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11196,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))))),
% 8.21/5.92 inference(monotonicity,[status(thm)],[11195])).
% 8.21/5.92 tff(11197,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 8.21/5.92 inference(transitivity,[status(thm)],[11196, 11194])).
% 8.21/5.92 tff(11198,plain,
% 8.21/5.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11199,plain,
% 8.21/5.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 8.21/5.92 tff(11200,plain,
% 8.21/5.92 (m_main_v_state1(s137, c_t1)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11199, 856, 11104, 11193])).
% 8.21/5.92 tff(11201,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11202,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11203,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 8.21/5.92 tff(11204,plain,
% 8.21/5.92 (~m_main_v_state2(s136, c_t2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11203, 260, 11169])).
% 8.21/5.92 tff(11205,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11206,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11207,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 8.21/5.92 tff(11208,plain,
% 8.21/5.92 (~node12(s136)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11207, 633, 11204])).
% 8.21/5.92 tff(11209,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11210,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11211,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 8.21/5.92 tff(11212,plain,
% 8.21/5.92 (~node11(s136)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11211, 238, 11108])).
% 8.21/5.92 tff(11213,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11214,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11215,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 8.21/5.92 tff(11216,plain,
% 8.21/5.92 (~node10(s136)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11215, 675, 11141])).
% 8.21/5.92 tff(11217,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11218,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11219,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 8.21/5.92 tff(11220,plain,
% 8.21/5.92 (~node9(s136)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11219, 686, 11108])).
% 8.21/5.92 tff(11221,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11222,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11223,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 8.21/5.92 tff(11224,plain,
% 8.21/5.92 (~node8(s136)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11223, 271, 11173])).
% 8.21/5.92 tff(11225,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11226,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11227,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 8.21/5.92 tff(11228,plain,
% 8.21/5.92 (node14(s136, s137)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11227, 46, 11184])).
% 8.21/5.92 tff(11229,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11230,plain,
% 8.21/5.92 (((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2)) <=> (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11231,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))))),
% 8.21/5.92 inference(monotonicity,[status(thm)],[11230])).
% 8.21/5.92 tff(11232,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 8.21/5.92 inference(transitivity,[status(thm)],[11231, 11229])).
% 8.21/5.92 tff(11233,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11234,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 8.21/5.92 tff(11235,plain,
% 8.21/5.92 (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~m_main_v_state2(s136, c_c2))),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11234, 726, 11228])).
% 8.21/5.92 tff(11236,plain,
% 8.21/5.92 (m_main_v_state2(s137, c_n2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11235, 11224, 11169, 11220, 11216, 11212, 11208])).
% 8.21/5.92 tff(11237,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11238,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11239,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 8.21/5.92 tff(11240,plain,
% 8.21/5.92 (~m_main_v_state2(s137, c_t2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11239, 77, 11236])).
% 8.21/5.92 tff(11241,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11242,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11243,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 8.21/5.92 tff(11244,plain,
% 8.21/5.92 (~node15(s137)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11243, 103, 11240])).
% 8.21/5.92 tff(11245,plain,
% 8.21/5.92 (succ(s137, s138) <=> succ(s137, s138)),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11246,axiom,(succ(s137, s138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound138')).
% 8.21/5.92 tff(11247,plain,
% 8.21/5.92 (succ(s137, s138)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11246, 11245])).
% 8.21/5.92 tff(11248,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11249,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11250,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 8.21/5.92 tff(11251,plain,
% 8.21/5.92 (trans(s137, s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11250, 11247, 32])).
% 8.21/5.92 tff(11252,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11253,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11254,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 8.21/5.92 tff(11255,plain,
% 8.21/5.92 (node18(s137, s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11254, 125, 11251])).
% 8.21/5.92 tff(11256,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11257,plain,
% 8.21/5.92 (((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1)) <=> (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11258,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)))),
% 8.21/5.92 inference(monotonicity,[status(thm)],[11257])).
% 8.21/5.92 tff(11259,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 8.21/5.92 inference(transitivity,[status(thm)],[11258, 11256])).
% 8.21/5.92 tff(11260,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11261,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 8.21/5.92 tff(11262,plain,
% 8.21/5.92 (node15(s137) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11261, 992, 11255])).
% 8.21/5.92 tff(11263,plain,
% 8.21/5.92 (m_main_v_turn(s138, c_1)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11262, 11244, 11236, 11200])).
% 8.21/5.92 tff(11264,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11265,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11266,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 8.21/5.92 tff(11267,plain,
% 8.21/5.92 (~m_main_v_turn(s138, c_2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11266, 156, 11263])).
% 8.21/5.92 tff(11268,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11269,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11270,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 8.21/5.92 tff(11271,plain,
% 8.21/5.92 (~node12(s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11270, 184, 11267])).
% 8.21/5.92 tff(11272,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11273,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11274,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 8.21/5.92 tff(11275,plain,
% 8.21/5.92 (node14(s137, s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11274, 46, 11251])).
% 8.21/5.92 tff(11276,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11277,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11278,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 8.21/5.92 tff(11279,plain,
% 8.21/5.92 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state2(s138, c_t2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11278, 922, 11275])).
% 8.21/5.92 tff(11280,plain,
% 8.21/5.92 (m_main_v_state2(s138, c_t2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11279, 11200, 11236])).
% 8.21/5.92 tff(11281,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11282,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11283,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 8.21/5.92 tff(11284,plain,
% 8.21/5.92 (~m_main_v_state2(s138, c_n2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11283, 77, 11280])).
% 8.21/5.92 tff(11285,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11286,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11287,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 8.21/5.92 tff(11288,plain,
% 8.21/5.92 (~node8(s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11287, 271, 11284])).
% 8.21/5.92 tff(11289,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11290,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11291,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 8.21/5.92 tff(11292,plain,
% 8.21/5.92 (~node9(s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11291, 88, 11284])).
% 8.21/5.92 tff(11293,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11294,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11295,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 8.21/5.92 tff(11296,plain,
% 8.21/5.92 (~node10(s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11295, 249, 11284])).
% 8.21/5.92 tff(11297,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11298,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11299,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 8.21/5.92 tff(11300,plain,
% 8.21/5.92 (~m_main_v_state2(s138, c_c2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11299, 260, 11280])).
% 8.21/5.92 tff(11301,plain,
% 8.21/5.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11302,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11303,plain,
% 8.21/5.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 8.21/5.92 tff(11304,plain,
% 8.21/5.92 (~m_main_v_state2(s137, c_c2)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11303, 697, 11236])).
% 8.21/5.92 tff(11305,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11306,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11307,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11306, 11305])).
% 8.21/5.92 tff(11308,plain,
% 8.21/5.92 (~node3(s137)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11307, 399, 11304])).
% 8.21/5.92 tff(11309,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11310,plain,
% 8.21/5.92 (((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1))) <=> (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11311,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))))),
% 8.21/5.92 inference(monotonicity,[status(thm)],[11310])).
% 8.21/5.92 tff(11312,plain,
% 8.21/5.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 8.21/5.92 inference(transitivity,[status(thm)],[11311, 11309])).
% 8.21/5.92 tff(11313,plain,
% 8.21/5.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11314,plain,
% 8.21/5.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 8.21/5.92 tff(11315,plain,
% 8.21/5.92 (~m_main_v_state1(s137, c_n1)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11314, 835, 11108, 11193])).
% 8.21/5.92 tff(11316,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11317,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11318,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 8.21/5.92 tff(11319,plain,
% 8.21/5.92 (~node2(s137)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11318, 787, 11315])).
% 8.21/5.92 tff(11320,plain,
% 8.21/5.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11321,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11322,plain,
% 8.21/5.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137))),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 8.21/5.92 tff(11323,plain,
% 8.21/5.92 (~node1(s137)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11322, 195, 11240])).
% 8.21/5.92 tff(11324,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11325,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))),
% 8.21/5.92 inference(quant_inst,[status(thm)],[])).
% 8.21/5.92 tff(11326,plain,
% 8.21/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138)),
% 8.21/5.92 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 8.21/5.92 tff(11327,plain,
% 8.21/5.92 (node7(s137, s138)),
% 8.21/5.92 inference(unit_resolution,[status(thm)],[11326, 206, 11251])).
% 8.21/5.92 tff(11328,plain,
% 8.21/5.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 8.21/5.92 inference(rewrite,[status(thm)],[])).
% 8.21/5.92 tff(11329,plain,
% 8.21/5.92 (((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1)) <=> ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11330,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138))))),
% 8.21/5.93 inference(monotonicity,[status(thm)],[11329])).
% 8.21/5.93 tff(11331,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 8.21/5.93 inference(transitivity,[status(thm)],[11330, 11328])).
% 8.21/5.93 tff(11332,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11333,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 8.21/5.93 tff(11334,plain,
% 8.21/5.93 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11333, 892, 11327])).
% 8.21/5.93 tff(11335,plain,
% 8.21/5.93 (m_main_v_state1(s138, c_c1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11334, 11323, 11236, 11200, 11319, 11308])).
% 8.21/5.93 tff(11336,plain,
% 8.21/5.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11337,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11338,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 8.21/5.93 tff(11339,plain,
% 8.21/5.93 (~m_main_v_state1(s138, c_n1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11338, 454, 11335])).
% 8.21/5.93 tff(11340,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11341,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11342,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 8.21/5.93 tff(11343,plain,
% 8.21/5.93 (~node11(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11342, 238, 11339])).
% 8.21/5.93 tff(11344,plain,
% 8.21/5.93 (succ(s138, s139) <=> succ(s138, s139)),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11345,axiom,(succ(s138, s139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound139')).
% 8.21/5.93 tff(11346,plain,
% 8.21/5.93 (succ(s138, s139)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 8.21/5.93 tff(11347,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11348,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11349,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 8.21/5.93 tff(11350,plain,
% 8.21/5.93 (trans(s138, s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11349, 11346, 32])).
% 8.21/5.93 tff(11351,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11352,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11353,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 8.21/5.93 tff(11354,plain,
% 8.21/5.93 (node14(s138, s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11353, 46, 11350])).
% 8.21/5.93 tff(11355,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11356,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11357,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 8.21/5.93 tff(11358,plain,
% 8.21/5.93 (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11357, 296, 11354])).
% 8.21/5.93 tff(11359,plain,
% 8.21/5.93 (node13(s138, s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11358, 11343, 11300, 11296, 11292, 11288, 11271])).
% 8.21/5.93 tff(11360,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11361,plain,
% 8.21/5.93 (((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2))) <=> (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11362,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))))),
% 8.21/5.93 inference(monotonicity,[status(thm)],[11361])).
% 8.21/5.93 tff(11363,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 8.21/5.93 inference(transitivity,[status(thm)],[11362, 11360])).
% 8.21/5.93 tff(11364,plain,
% 8.21/5.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11365,plain,
% 8.21/5.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11364, 11363])).
% 8.21/5.93 tff(11366,plain,
% 8.21/5.93 (~m_main_v_state2(s139, c_n2)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11365, 311, 11284, 11359])).
% 8.21/5.93 tff(11367,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11368,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11369,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 8.21/5.93 tff(11370,plain,
% 8.21/5.93 (~node9(s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11369, 88, 11366])).
% 8.21/5.93 tff(11371,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11372,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11373,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 8.21/5.93 tff(11374,plain,
% 8.21/5.93 (~node10(s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11373, 249, 11366])).
% 8.21/5.93 tff(11375,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11376,plain,
% 8.21/5.93 (((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2)) <=> ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11377,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))))),
% 8.21/5.93 inference(monotonicity,[status(thm)],[11376])).
% 8.21/5.93 tff(11378,plain,
% 8.21/5.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 8.21/5.93 inference(transitivity,[status(thm)],[11377, 11375])).
% 8.21/5.93 tff(11379,plain,
% 8.21/5.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11380,plain,
% 8.21/5.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 8.21/5.93 tff(11381,plain,
% 8.21/5.93 (m_main_v_state2(s139, c_t2)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11380, 518, 11280, 11359])).
% 8.21/5.93 tff(11382,plain,
% 8.21/5.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11383,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11384,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 8.21/5.93 tff(11385,plain,
% 8.21/5.93 (~m_main_v_state1(s138, c_t1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11384, 539, 11335])).
% 8.21/5.93 tff(11386,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11387,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11388,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 8.21/5.93 tff(11389,plain,
% 8.21/5.93 (~node5(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11388, 550, 11385])).
% 8.21/5.93 tff(11390,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11391,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11392,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 8.21/5.93 tff(11393,plain,
% 8.21/5.93 (~node4(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11392, 388, 11284])).
% 8.21/5.93 tff(11394,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11395,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11396,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11395, 11394])).
% 8.21/5.93 tff(11397,plain,
% 8.21/5.93 (~node3(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11396, 399, 11300])).
% 8.21/5.93 tff(11398,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11399,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11400,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 8.21/5.93 tff(11401,plain,
% 8.21/5.93 (~node2(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11400, 410, 11284])).
% 8.21/5.93 tff(11402,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11403,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11404,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 8.21/5.93 tff(11405,plain,
% 8.21/5.93 (~node1(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11404, 421, 11339])).
% 8.21/5.93 tff(11406,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11407,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11408,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 8.21/5.93 tff(11409,plain,
% 8.21/5.93 (node7(s138, s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11408, 206, 11350])).
% 8.21/5.93 tff(11410,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11411,plain,
% 8.21/5.93 (((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1)) <=> (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11412,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))))),
% 8.21/5.93 inference(monotonicity,[status(thm)],[11411])).
% 8.21/5.93 tff(11413,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 8.21/5.93 inference(transitivity,[status(thm)],[11412, 11410])).
% 8.21/5.93 tff(11414,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11415,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 8.21/5.93 tff(11416,plain,
% 8.21/5.93 (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11415, 584, 11409])).
% 8.21/5.93 tff(11417,plain,
% 8.21/5.93 (m_main_v_state1(s139, c_n1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11416, 11405, 11335, 11401, 11397, 11393, 11389])).
% 8.21/5.93 tff(11418,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11419,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11420,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 8.21/5.93 tff(11421,plain,
% 8.21/5.93 (~node8(s139)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11420, 271, 11366])).
% 8.21/5.93 tff(11422,plain,
% 8.21/5.93 (succ(s139, s140) <=> succ(s139, s140)),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11423,axiom,(succ(s139, s140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound140')).
% 8.21/5.93 tff(11424,plain,
% 8.21/5.93 (succ(s139, s140)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 8.21/5.93 tff(11425,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11426,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11427,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 8.21/5.93 tff(11428,plain,
% 8.21/5.93 (trans(s139, s140)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11427, 11424, 32])).
% 8.21/5.93 tff(11429,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11430,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11431,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 8.21/5.93 tff(11432,plain,
% 8.21/5.93 (node14(s139, s140)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11431, 46, 11428])).
% 8.21/5.93 tff(11433,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11434,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11435,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 8.21/5.93 tff(11436,plain,
% 8.21/5.93 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | m_main_v_state2(s140, c_c2)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11435, 617, 11432])).
% 8.21/5.93 tff(11437,plain,
% 8.21/5.93 (m_main_v_state2(s140, c_c2)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11436, 11421, 11417, 11381, 11374, 11370])).
% 8.21/5.93 tff(11438,plain,
% 8.21/5.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11439,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11440,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 8.21/5.93 tff(11441,plain,
% 8.21/5.93 (~m_main_v_state2(s140, c_t2)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11440, 260, 11437])).
% 8.21/5.93 tff(11442,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11443,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11444,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 8.21/5.93 tff(11445,plain,
% 8.21/5.93 (~node12(s140)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11444, 633, 11441])).
% 8.21/5.93 tff(11446,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11447,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11448,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 8.21/5.93 tff(11449,plain,
% 8.21/5.93 (node7(s139, s140)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11448, 206, 11428])).
% 8.21/5.93 tff(11450,plain,
% 8.21/5.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11451,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11452,plain,
% 8.21/5.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1)),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 8.21/5.93 tff(11453,plain,
% 8.21/5.93 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_state1(s140, c_t1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11452, 651, 11449])).
% 8.21/5.93 tff(11454,plain,
% 8.21/5.93 (m_main_v_state1(s140, c_t1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11453, 11381, 11417])).
% 8.21/5.93 tff(11455,plain,
% 8.21/5.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11456,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11457,plain,
% 8.21/5.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 8.21/5.93 tff(11458,plain,
% 8.21/5.93 (~m_main_v_state1(s140, c_n1)),
% 8.21/5.93 inference(unit_resolution,[status(thm)],[11457, 10, 11454])).
% 8.21/5.93 tff(11459,plain,
% 8.21/5.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 8.21/5.93 inference(rewrite,[status(thm)],[])).
% 8.21/5.93 tff(11460,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 8.21/5.93 inference(quant_inst,[status(thm)],[])).
% 8.21/5.93 tff(11461,plain,
% 8.21/5.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140))),
% 8.21/5.93 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 8.21/5.94 tff(11462,plain,
% 8.21/5.94 (~node11(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11461, 238, 11458])).
% 8.21/5.94 tff(11463,plain,
% 8.21/5.94 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11464,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11465,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 8.21/5.94 tff(11466,plain,
% 8.21/5.94 (~m_main_v_state1(s140, c_c1)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11465, 539, 11454])).
% 8.21/5.94 tff(11467,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11468,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11469,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 8.21/5.94 tff(11470,plain,
% 8.21/5.94 (~node10(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11469, 675, 11466])).
% 8.21/5.94 tff(11471,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11472,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11473,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 8.21/5.94 tff(11474,plain,
% 8.21/5.94 (~node9(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11473, 686, 11458])).
% 8.21/5.94 tff(11475,plain,
% 8.21/5.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11476,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11477,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 8.21/5.94 tff(11478,plain,
% 8.21/5.94 (~m_main_v_state2(s140, c_n2)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11477, 697, 11437])).
% 8.21/5.94 tff(11479,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11480,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11481,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 8.21/5.94 tff(11482,plain,
% 8.21/5.94 (~node8(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11481, 271, 11478])).
% 8.21/5.94 tff(11483,plain,
% 8.21/5.94 (succ(s140, s141) <=> succ(s140, s141)),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11484,axiom,(succ(s140, s141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound141')).
% 8.21/5.94 tff(11485,plain,
% 8.21/5.94 (succ(s140, s141)),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11484, 11483])).
% 8.21/5.94 tff(11486,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11487,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11488,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 8.21/5.94 tff(11489,plain,
% 8.21/5.94 (trans(s140, s141)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11488, 11485, 32])).
% 8.21/5.94 tff(11490,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11491,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11492,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141)),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 8.21/5.94 tff(11493,plain,
% 8.21/5.94 (node14(s140, s141)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11492, 46, 11489])).
% 8.21/5.94 tff(11494,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11495,plain,
% 8.21/5.94 (((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2)) <=> (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11496,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))))),
% 8.21/5.94 inference(monotonicity,[status(thm)],[11495])).
% 8.21/5.94 tff(11497,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 8.21/5.94 inference(transitivity,[status(thm)],[11496, 11494])).
% 8.21/5.94 tff(11498,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11499,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 8.21/5.94 tff(11500,plain,
% 8.21/5.94 (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~m_main_v_state2(s140, c_c2))),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11499, 726, 11493])).
% 8.21/5.94 tff(11501,plain,
% 8.21/5.94 (m_main_v_state2(s141, c_n2)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11500, 11482, 11437, 11474, 11470, 11462, 11445])).
% 8.21/5.94 tff(11502,plain,
% 8.21/5.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11503,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11504,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 8.21/5.94 tff(11505,plain,
% 8.21/5.94 (~m_main_v_state2(s141, c_c2)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11504, 697, 11501])).
% 8.21/5.94 tff(11506,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11507,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11508,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 8.21/5.94 tff(11509,plain,
% 8.21/5.94 (~node3(s141)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11508, 399, 11505])).
% 8.21/5.94 tff(11510,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11511,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11512,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 8.21/5.94 tff(11513,plain,
% 8.21/5.94 (~node1(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11512, 421, 11458])).
% 8.21/5.94 tff(11514,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11515,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11516,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140)),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 8.21/5.94 tff(11517,plain,
% 8.21/5.94 (node18(s139, s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11516, 125, 11428])).
% 8.21/5.94 tff(11518,plain,
% 8.21/5.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11519,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11520,plain,
% 8.21/5.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2)),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 8.21/5.94 tff(11521,plain,
% 8.21/5.94 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_turn(s140, c_2)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11520, 760, 11517])).
% 8.21/5.94 tff(11522,plain,
% 8.21/5.94 (m_main_v_turn(s140, c_2)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11521, 11381, 11417])).
% 8.21/5.94 tff(11523,plain,
% 8.21/5.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11524,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11525,plain,
% 8.21/5.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 8.21/5.94 tff(11526,plain,
% 8.21/5.94 (~m_main_v_turn(s140, c_1)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11525, 156, 11522])).
% 8.21/5.94 tff(11527,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11528,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11529,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140))),
% 8.21/5.94 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 8.21/5.94 tff(11530,plain,
% 8.21/5.94 (~node5(s140)),
% 8.21/5.94 inference(unit_resolution,[status(thm)],[11529, 776, 11526])).
% 8.21/5.94 tff(11531,plain,
% 8.21/5.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 8.21/5.94 inference(rewrite,[status(thm)],[])).
% 8.21/5.94 tff(11532,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 8.21/5.94 inference(quant_inst,[status(thm)],[])).
% 8.21/5.94 tff(11533,plain,
% 8.21/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 8.31/5.94 tff(11534,plain,
% 8.31/5.94 (~node2(s140)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11533, 787, 11458])).
% 8.31/5.94 tff(11535,plain,
% 8.31/5.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11536,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11537,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 8.31/5.94 tff(11538,plain,
% 8.31/5.94 (~node3(s140)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11537, 798, 11458])).
% 8.31/5.94 tff(11539,plain,
% 8.31/5.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11540,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11541,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 8.31/5.94 tff(11542,plain,
% 8.31/5.94 (~node4(s140)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11541, 388, 11478])).
% 8.31/5.94 tff(11543,plain,
% 8.31/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11544,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11545,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141)),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 8.31/5.94 tff(11546,plain,
% 8.31/5.94 (node7(s140, s141)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11545, 206, 11489])).
% 8.31/5.94 tff(11547,plain,
% 8.31/5.94 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11548,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11549,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11548, 11547])).
% 8.31/5.94 tff(11550,plain,
% 8.31/5.94 (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11549, 820, 11546])).
% 8.31/5.94 tff(11551,plain,
% 8.31/5.94 (node6(s140, s141)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11550, 11542, 11466, 11538, 11534, 11530, 11513])).
% 8.31/5.94 tff(11552,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11553,plain,
% 8.31/5.94 (((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1))) <=> (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11554,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))))),
% 8.31/5.94 inference(monotonicity,[status(thm)],[11553])).
% 8.31/5.94 tff(11555,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 8.31/5.94 inference(transitivity,[status(thm)],[11554, 11552])).
% 8.31/5.94 tff(11556,plain,
% 8.31/5.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11557,plain,
% 8.31/5.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 8.31/5.94 tff(11558,plain,
% 8.31/5.94 (~m_main_v_state1(s141, c_n1)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11557, 835, 11458, 11551])).
% 8.31/5.94 tff(11559,plain,
% 8.31/5.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11560,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11561,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 8.31/5.94 tff(11562,plain,
% 8.31/5.94 (~node2(s141)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11561, 787, 11558])).
% 8.31/5.94 tff(11563,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11564,plain,
% 8.31/5.94 (((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1)) <=> ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11565,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))))),
% 8.31/5.94 inference(monotonicity,[status(thm)],[11564])).
% 8.31/5.94 tff(11566,plain,
% 8.31/5.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 8.31/5.94 inference(transitivity,[status(thm)],[11565, 11563])).
% 8.31/5.94 tff(11567,plain,
% 8.31/5.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11568,plain,
% 8.31/5.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 8.31/5.94 tff(11569,plain,
% 8.31/5.94 (m_main_v_state1(s141, c_t1)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11568, 856, 11454, 11551])).
% 8.31/5.94 tff(11570,plain,
% 8.31/5.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11571,plain,
% 8.31/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11572,plain,
% 8.31/5.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 8.31/5.94 tff(11573,plain,
% 8.31/5.94 (~m_main_v_state2(s141, c_t2)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11572, 77, 11501])).
% 8.31/5.94 tff(11574,plain,
% 8.31/5.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11575,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11576,plain,
% 8.31/5.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141))),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 8.31/5.94 tff(11577,plain,
% 8.31/5.94 (~node1(s141)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11576, 195, 11573])).
% 8.31/5.94 tff(11578,plain,
% 8.31/5.94 (succ(s141, s142) <=> succ(s141, s142)),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11579,axiom,(succ(s141, s142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound142')).
% 8.31/5.94 tff(11580,plain,
% 8.31/5.94 (succ(s141, s142)),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 8.31/5.94 tff(11581,plain,
% 8.31/5.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11582,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 8.31/5.94 inference(quant_inst,[status(thm)],[])).
% 8.31/5.94 tff(11583,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 8.31/5.94 inference(modus_ponens,[status(thm)],[11582, 11581])).
% 8.31/5.94 tff(11584,plain,
% 8.31/5.94 (trans(s141, s142)),
% 8.31/5.94 inference(unit_resolution,[status(thm)],[11583, 11580, 32])).
% 8.31/5.94 tff(11585,plain,
% 8.31/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142))),
% 8.31/5.94 inference(rewrite,[status(thm)],[])).
% 8.31/5.94 tff(11586,plain,
% 8.31/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11587,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 8.31/5.95 tff(11588,plain,
% 8.31/5.95 (node7(s141, s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11587, 206, 11584])).
% 8.31/5.95 tff(11589,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11590,plain,
% 8.31/5.95 (((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1)) <=> ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11591,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142))))),
% 8.31/5.95 inference(monotonicity,[status(thm)],[11590])).
% 8.31/5.95 tff(11592,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 8.31/5.95 inference(transitivity,[status(thm)],[11591, 11589])).
% 8.31/5.95 tff(11593,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11594,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 8.31/5.95 tff(11595,plain,
% 8.31/5.95 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11594, 892, 11588])).
% 8.31/5.95 tff(11596,plain,
% 8.31/5.95 (m_main_v_state1(s142, c_c1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11595, 11577, 11501, 11569, 11562, 11509])).
% 8.31/5.95 tff(11597,plain,
% 8.31/5.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11598,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11599,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 8.31/5.95 tff(11600,plain,
% 8.31/5.95 (~m_main_v_state1(s142, c_t1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11599, 539, 11596])).
% 8.31/5.95 tff(11601,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11602,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11603,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 8.31/5.95 tff(11604,plain,
% 8.31/5.95 (~node5(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11603, 550, 11600])).
% 8.31/5.95 tff(11605,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11606,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11607,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11606, 11605])).
% 8.31/5.95 tff(11608,plain,
% 8.31/5.95 (node14(s141, s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11607, 46, 11584])).
% 8.31/5.95 tff(11609,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11610,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11611,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 8.31/5.95 tff(11612,plain,
% 8.31/5.95 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state2(s142, c_t2)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11611, 922, 11608])).
% 8.31/5.95 tff(11613,plain,
% 8.31/5.95 (m_main_v_state2(s142, c_t2)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11612, 11569, 11501])).
% 8.31/5.95 tff(11614,plain,
% 8.31/5.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11615,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11616,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 8.31/5.95 tff(11617,plain,
% 8.31/5.95 (~m_main_v_state2(s142, c_n2)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11616, 77, 11613])).
% 8.31/5.95 tff(11618,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11619,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11620,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 8.31/5.95 tff(11621,plain,
% 8.31/5.95 (~node4(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11620, 388, 11617])).
% 8.31/5.95 tff(11622,plain,
% 8.31/5.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11623,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11624,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 8.31/5.95 tff(11625,plain,
% 8.31/5.95 (~m_main_v_state2(s142, c_c2)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11624, 260, 11613])).
% 8.31/5.95 tff(11626,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11627,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11628,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 8.31/5.95 tff(11629,plain,
% 8.31/5.95 (~node3(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11628, 399, 11625])).
% 8.31/5.95 tff(11630,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11631,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11632,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 8.31/5.95 tff(11633,plain,
% 8.31/5.95 (~node2(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11632, 410, 11617])).
% 8.31/5.95 tff(11634,plain,
% 8.31/5.95 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11635,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11636,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 8.31/5.95 tff(11637,plain,
% 8.31/5.95 (~m_main_v_state1(s142, c_n1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11636, 454, 11596])).
% 8.31/5.95 tff(11638,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11639,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11640,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 8.31/5.95 tff(11641,plain,
% 8.31/5.95 (~node1(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11640, 421, 11637])).
% 8.31/5.95 tff(11642,plain,
% 8.31/5.95 (succ(s142, s143) <=> succ(s142, s143)),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11643,axiom,(succ(s142, s143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound143')).
% 8.31/5.95 tff(11644,plain,
% 8.31/5.95 (succ(s142, s143)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 8.31/5.95 tff(11645,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11646,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11647,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11646, 11645])).
% 8.31/5.95 tff(11648,plain,
% 8.31/5.95 (trans(s142, s143)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11647, 11644, 32])).
% 8.31/5.95 tff(11649,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11650,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11651,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 8.31/5.95 tff(11652,plain,
% 8.31/5.95 (node7(s142, s143)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11651, 206, 11648])).
% 8.31/5.95 tff(11653,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11654,plain,
% 8.31/5.95 (((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1)) <=> (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11655,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))))),
% 8.31/5.95 inference(monotonicity,[status(thm)],[11654])).
% 8.31/5.95 tff(11656,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 8.31/5.95 inference(transitivity,[status(thm)],[11655, 11653])).
% 8.31/5.95 tff(11657,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11658,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 8.31/5.95 tff(11659,plain,
% 8.31/5.95 (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11658, 584, 11652])).
% 8.31/5.95 tff(11660,plain,
% 8.31/5.95 (m_main_v_state1(s143, c_n1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11659, 11641, 11596, 11633, 11629, 11621, 11604])).
% 8.31/5.95 tff(11661,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11662,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11663,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11662, 11661])).
% 8.31/5.95 tff(11664,plain,
% 8.31/5.95 (~node15(s141)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11663, 103, 11573])).
% 8.31/5.95 tff(11665,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11666,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11667,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 8.31/5.95 tff(11668,plain,
% 8.31/5.95 (node18(s141, s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11667, 125, 11584])).
% 8.31/5.95 tff(11669,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11670,plain,
% 8.31/5.95 (((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1)) <=> (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11671,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)))),
% 8.31/5.95 inference(monotonicity,[status(thm)],[11670])).
% 8.31/5.95 tff(11672,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 8.31/5.95 inference(transitivity,[status(thm)],[11671, 11669])).
% 8.31/5.95 tff(11673,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11674,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 8.31/5.95 tff(11675,plain,
% 8.31/5.95 (node15(s141) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11674, 992, 11668])).
% 8.31/5.95 tff(11676,plain,
% 8.31/5.95 (m_main_v_turn(s142, c_1)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11675, 11664, 11501, 11569])).
% 8.31/5.95 tff(11677,plain,
% 8.31/5.95 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11678,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11679,plain,
% 8.31/5.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 8.31/5.95 tff(11680,plain,
% 8.31/5.95 (~m_main_v_turn(s142, c_2)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11679, 156, 11676])).
% 8.31/5.95 tff(11681,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11682,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11683,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 8.31/5.95 tff(11684,plain,
% 8.31/5.95 (~node12(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11683, 184, 11680])).
% 8.31/5.95 tff(11685,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11686,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11687,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 8.31/5.95 tff(11688,plain,
% 8.31/5.95 (~node8(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11687, 271, 11617])).
% 8.31/5.95 tff(11689,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11690,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11691,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 8.31/5.95 tff(11692,plain,
% 8.31/5.95 (~node9(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11691, 88, 11617])).
% 8.31/5.95 tff(11693,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11694,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11695,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 8.31/5.95 tff(11696,plain,
% 8.31/5.95 (~node10(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11695, 249, 11617])).
% 8.31/5.95 tff(11697,plain,
% 8.31/5.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11698,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11699,plain,
% 8.31/5.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11698, 11697])).
% 8.31/5.95 tff(11700,plain,
% 8.31/5.95 (~node11(s142)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11699, 238, 11637])).
% 8.31/5.95 tff(11701,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11702,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11703,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143)),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 8.31/5.95 tff(11704,plain,
% 8.31/5.95 (node14(s142, s143)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11703, 46, 11648])).
% 8.31/5.95 tff(11705,plain,
% 8.31/5.95 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11706,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11707,plain,
% 8.31/5.95 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143))),
% 8.31/5.95 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 8.31/5.95 tff(11708,plain,
% 8.31/5.95 (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11707, 296, 11704])).
% 8.31/5.95 tff(11709,plain,
% 8.31/5.95 (node13(s142, s143)),
% 8.31/5.95 inference(unit_resolution,[status(thm)],[11708, 11700, 11625, 11696, 11692, 11688, 11684])).
% 8.31/5.95 tff(11710,plain,
% 8.31/5.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11711,plain,
% 8.31/5.95 (((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2)) <=> ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 8.31/5.95 inference(rewrite,[status(thm)],[])).
% 8.31/5.95 tff(11712,plain,
% 8.31/5.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))))),
% 8.31/5.95 inference(monotonicity,[status(thm)],[11711])).
% 8.31/5.95 tff(11713,plain,
% 8.31/5.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 8.31/5.95 inference(transitivity,[status(thm)],[11712, 11710])).
% 8.31/5.95 tff(11714,plain,
% 8.31/5.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))),
% 8.31/5.95 inference(quant_inst,[status(thm)],[])).
% 8.31/5.95 tff(11715,plain,
% 8.31/5.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 8.31/5.96 tff(11716,plain,
% 8.31/5.96 (m_main_v_state2(s143, c_t2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11715, 518, 11613, 11709])).
% 8.31/5.96 tff(11717,plain,
% 8.31/5.96 (succ(s143, s144) <=> succ(s143, s144)),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11718,axiom,(succ(s143, s144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound144')).
% 8.31/5.96 tff(11719,plain,
% 8.31/5.96 (succ(s143, s144)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 8.31/5.96 tff(11720,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11721,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11722,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 8.31/5.96 tff(11723,plain,
% 8.31/5.96 (trans(s143, s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11722, 11719, 32])).
% 8.31/5.96 tff(11724,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11725,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11726,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 8.31/5.96 tff(11727,plain,
% 8.31/5.96 (node7(s143, s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11726, 206, 11723])).
% 8.31/5.96 tff(11728,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11729,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11730,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 8.31/5.96 tff(11731,plain,
% 8.31/5.96 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_state1(s144, c_t1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11730, 651, 11727])).
% 8.31/5.96 tff(11732,plain,
% 8.31/5.96 (m_main_v_state1(s144, c_t1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11731, 11716, 11660])).
% 8.31/5.96 tff(11733,plain,
% 8.31/5.96 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11734,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11735,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 8.31/5.96 tff(11736,plain,
% 8.31/5.96 (~m_main_v_state1(s144, c_n1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11735, 10, 11732])).
% 8.31/5.96 tff(11737,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11738,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11739,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 8.31/5.96 tff(11740,plain,
% 8.31/5.96 (~node1(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11739, 421, 11736])).
% 8.31/5.96 tff(11741,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11742,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11743,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 8.31/5.96 tff(11744,plain,
% 8.31/5.96 (node18(s143, s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11743, 125, 11723])).
% 8.31/5.96 tff(11745,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11746,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11747,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 8.31/5.96 tff(11748,plain,
% 8.31/5.96 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_turn(s144, c_2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11747, 760, 11744])).
% 8.31/5.96 tff(11749,plain,
% 8.31/5.96 (m_main_v_turn(s144, c_2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11748, 11716, 11660])).
% 8.31/5.96 tff(11750,plain,
% 8.31/5.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11751,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11752,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 8.31/5.96 tff(11753,plain,
% 8.31/5.96 (~m_main_v_turn(s144, c_1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11752, 156, 11749])).
% 8.31/5.96 tff(11754,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11755,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11756,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 8.31/5.96 tff(11757,plain,
% 8.31/5.96 (~node5(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11756, 776, 11753])).
% 8.31/5.96 tff(11758,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11759,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11760,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 8.31/5.96 tff(11761,plain,
% 8.31/5.96 (~node2(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11760, 787, 11736])).
% 8.31/5.96 tff(11762,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11763,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11764,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 8.31/5.96 tff(11765,plain,
% 8.31/5.96 (~node3(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11764, 798, 11736])).
% 8.31/5.96 tff(11766,plain,
% 8.31/5.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11767,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11768,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 8.31/5.96 tff(11769,plain,
% 8.31/5.96 (~m_main_v_state1(s144, c_c1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11768, 539, 11732])).
% 8.31/5.96 tff(11770,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11771,plain,
% 8.31/5.96 (((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2))) <=> (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11772,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))))),
% 8.31/5.96 inference(monotonicity,[status(thm)],[11771])).
% 8.31/5.96 tff(11773,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 8.31/5.96 inference(transitivity,[status(thm)],[11772, 11770])).
% 8.31/5.96 tff(11774,plain,
% 8.31/5.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11775,plain,
% 8.31/5.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 8.31/5.96 tff(11776,plain,
% 8.31/5.96 (~m_main_v_state2(s143, c_n2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11775, 311, 11617, 11709])).
% 8.31/5.96 tff(11777,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11778,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11779,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 8.31/5.96 tff(11780,plain,
% 8.31/5.96 (~node9(s143)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11779, 88, 11776])).
% 8.31/5.96 tff(11781,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11782,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11783,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 8.31/5.96 tff(11784,plain,
% 8.31/5.96 (~node10(s143)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11783, 249, 11776])).
% 8.31/5.96 tff(11785,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11786,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11787,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 8.31/5.96 tff(11788,plain,
% 8.31/5.96 (~node8(s143)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11787, 271, 11776])).
% 8.31/5.96 tff(11789,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11790,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11791,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 8.31/5.96 tff(11792,plain,
% 8.31/5.96 (node14(s143, s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11791, 46, 11723])).
% 8.31/5.96 tff(11793,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11794,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11795,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 8.31/5.96 tff(11796,plain,
% 8.31/5.96 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | m_main_v_state2(s144, c_c2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11795, 617, 11792])).
% 8.31/5.96 tff(11797,plain,
% 8.31/5.96 (m_main_v_state2(s144, c_c2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11796, 11788, 11660, 11716, 11784, 11780])).
% 8.31/5.96 tff(11798,plain,
% 8.31/5.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11799,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11800,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 8.31/5.96 tff(11801,plain,
% 8.31/5.96 (~m_main_v_state2(s144, c_n2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11800, 697, 11797])).
% 8.31/5.96 tff(11802,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11803,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11804,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 8.31/5.96 tff(11805,plain,
% 8.31/5.96 (~node4(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11804, 388, 11801])).
% 8.31/5.96 tff(11806,plain,
% 8.31/5.96 (succ(s144, s145) <=> succ(s144, s145)),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11807,axiom,(succ(s144, s145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound145')).
% 8.31/5.96 tff(11808,plain,
% 8.31/5.96 (succ(s144, s145)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 8.31/5.96 tff(11809,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11810,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11811,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 8.31/5.96 tff(11812,plain,
% 8.31/5.96 (trans(s144, s145)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11811, 11808, 32])).
% 8.31/5.96 tff(11813,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11814,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11815,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 8.31/5.96 tff(11816,plain,
% 8.31/5.96 (node7(s144, s145)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11815, 206, 11812])).
% 8.31/5.96 tff(11817,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11818,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11819,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 8.31/5.96 tff(11820,plain,
% 8.31/5.96 (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11819, 820, 11816])).
% 8.31/5.96 tff(11821,plain,
% 8.31/5.96 (node6(s144, s145)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11820, 11805, 11769, 11765, 11761, 11757, 11740])).
% 8.31/5.96 tff(11822,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11823,plain,
% 8.31/5.96 (((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1)) <=> ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11824,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))))),
% 8.31/5.96 inference(monotonicity,[status(thm)],[11823])).
% 8.31/5.96 tff(11825,plain,
% 8.31/5.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 8.31/5.96 inference(transitivity,[status(thm)],[11824, 11822])).
% 8.31/5.96 tff(11826,plain,
% 8.31/5.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11827,plain,
% 8.31/5.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 8.31/5.96 tff(11828,plain,
% 8.31/5.96 (m_main_v_state1(s145, c_t1)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11827, 856, 11732, 11821])).
% 8.31/5.96 tff(11829,plain,
% 8.31/5.96 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11830,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11831,plain,
% 8.31/5.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11830, 11829])).
% 8.31/5.96 tff(11832,plain,
% 8.31/5.96 (~m_main_v_state2(s144, c_t2)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11831, 260, 11797])).
% 8.31/5.96 tff(11833,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11834,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11835,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 8.31/5.96 tff(11836,plain,
% 8.31/5.96 (~node12(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11835, 633, 11832])).
% 8.31/5.96 tff(11837,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11838,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11839,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 8.31/5.96 tff(11840,plain,
% 8.31/5.96 (~node11(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11839, 238, 11736])).
% 8.31/5.96 tff(11841,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11842,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11843,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 8.31/5.96 tff(11844,plain,
% 8.31/5.96 (~node10(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11843, 675, 11769])).
% 8.31/5.96 tff(11845,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11846,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11847,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 8.31/5.96 tff(11848,plain,
% 8.31/5.96 (~node9(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11847, 686, 11736])).
% 8.31/5.96 tff(11849,plain,
% 8.31/5.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11850,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11851,plain,
% 8.31/5.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144))),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 8.31/5.96 tff(11852,plain,
% 8.31/5.96 (~node8(s144)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11851, 271, 11801])).
% 8.31/5.96 tff(11853,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11854,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))),
% 8.31/5.96 inference(quant_inst,[status(thm)],[])).
% 8.31/5.96 tff(11855,plain,
% 8.31/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145)),
% 8.31/5.96 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 8.31/5.96 tff(11856,plain,
% 8.31/5.96 (node14(s144, s145)),
% 8.31/5.96 inference(unit_resolution,[status(thm)],[11855, 46, 11812])).
% 8.31/5.96 tff(11857,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11858,plain,
% 8.31/5.96 (((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2)) <=> (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.96 inference(rewrite,[status(thm)],[])).
% 8.31/5.96 tff(11859,plain,
% 8.31/5.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))))),
% 8.31/5.97 inference(monotonicity,[status(thm)],[11858])).
% 8.31/5.97 tff(11860,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 8.31/5.97 inference(transitivity,[status(thm)],[11859, 11857])).
% 8.31/5.97 tff(11861,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11862,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 8.31/5.97 tff(11863,plain,
% 8.31/5.97 (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~m_main_v_state2(s144, c_c2))),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11862, 726, 11856])).
% 8.31/5.97 tff(11864,plain,
% 8.31/5.97 (m_main_v_state2(s145, c_n2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11863, 11852, 11797, 11848, 11844, 11840, 11836])).
% 8.31/5.97 tff(11865,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11866,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11867,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 8.31/5.97 tff(11868,plain,
% 8.31/5.97 (~m_main_v_state2(s145, c_t2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11867, 77, 11864])).
% 8.31/5.97 tff(11869,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11870,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11871,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 8.31/5.97 tff(11872,plain,
% 8.31/5.97 (~node15(s145)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11871, 103, 11868])).
% 8.31/5.97 tff(11873,plain,
% 8.31/5.97 (succ(s145, s146) <=> succ(s145, s146)),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11874,axiom,(succ(s145, s146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound146')).
% 8.31/5.97 tff(11875,plain,
% 8.31/5.97 (succ(s145, s146)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 8.31/5.97 tff(11876,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11877,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11878,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 8.31/5.97 tff(11879,plain,
% 8.31/5.97 (trans(s145, s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11878, 11875, 32])).
% 8.31/5.97 tff(11880,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11881,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11882,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11881, 11880])).
% 8.31/5.97 tff(11883,plain,
% 8.31/5.97 (node18(s145, s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11882, 125, 11879])).
% 8.31/5.97 tff(11884,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11885,plain,
% 8.31/5.97 (((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1)) <=> (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11886,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)))),
% 8.31/5.97 inference(monotonicity,[status(thm)],[11885])).
% 8.31/5.97 tff(11887,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 8.31/5.97 inference(transitivity,[status(thm)],[11886, 11884])).
% 8.31/5.97 tff(11888,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11889,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 8.31/5.97 tff(11890,plain,
% 8.31/5.97 (node15(s145) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11889, 992, 11883])).
% 8.31/5.97 tff(11891,plain,
% 8.31/5.97 (m_main_v_turn(s146, c_1)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11890, 11872, 11864, 11828])).
% 8.31/5.97 tff(11892,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11893,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11894,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 8.31/5.97 tff(11895,plain,
% 8.31/5.97 (~m_main_v_turn(s146, c_2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11894, 156, 11891])).
% 8.31/5.97 tff(11896,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11897,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11898,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 8.31/5.97 tff(11899,plain,
% 8.31/5.97 (~node12(s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11898, 184, 11895])).
% 8.31/5.97 tff(11900,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11901,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11902,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 8.31/5.97 tff(11903,plain,
% 8.31/5.97 (node14(s145, s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11902, 46, 11879])).
% 8.31/5.97 tff(11904,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11905,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11906,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 8.31/5.97 tff(11907,plain,
% 8.31/5.97 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state2(s146, c_t2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11906, 922, 11903])).
% 8.31/5.97 tff(11908,plain,
% 8.31/5.97 (m_main_v_state2(s146, c_t2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11907, 11828, 11864])).
% 8.31/5.97 tff(11909,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11910,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11911,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 8.31/5.97 tff(11912,plain,
% 8.31/5.97 (~m_main_v_state2(s146, c_n2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11911, 77, 11908])).
% 8.31/5.97 tff(11913,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11914,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11915,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 8.31/5.97 tff(11916,plain,
% 8.31/5.97 (~node8(s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11915, 271, 11912])).
% 8.31/5.97 tff(11917,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11918,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11919,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 8.31/5.97 tff(11920,plain,
% 8.31/5.97 (~node9(s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11919, 88, 11912])).
% 8.31/5.97 tff(11921,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11922,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11923,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11922, 11921])).
% 8.31/5.97 tff(11924,plain,
% 8.31/5.97 (~node10(s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11923, 249, 11912])).
% 8.31/5.97 tff(11925,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11926,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11927,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 8.31/5.97 tff(11928,plain,
% 8.31/5.97 (~m_main_v_state2(s146, c_c2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11927, 260, 11908])).
% 8.31/5.97 tff(11929,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11930,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11931,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 8.31/5.97 tff(11932,plain,
% 8.31/5.97 (~m_main_v_state2(s145, c_c2)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11931, 697, 11864])).
% 8.31/5.97 tff(11933,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11934,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11935,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 8.31/5.97 tff(11936,plain,
% 8.31/5.97 (~node3(s145)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11935, 399, 11932])).
% 8.31/5.97 tff(11937,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11938,plain,
% 8.31/5.97 (((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1))) <=> (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11939,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))))),
% 8.31/5.97 inference(monotonicity,[status(thm)],[11938])).
% 8.31/5.97 tff(11940,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 8.31/5.97 inference(transitivity,[status(thm)],[11939, 11937])).
% 8.31/5.97 tff(11941,plain,
% 8.31/5.97 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11942,plain,
% 8.31/5.97 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 8.31/5.97 tff(11943,plain,
% 8.31/5.97 (~m_main_v_state1(s145, c_n1)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11942, 835, 11736, 11821])).
% 8.31/5.97 tff(11944,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11945,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11946,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 8.31/5.97 tff(11947,plain,
% 8.31/5.97 (~node2(s145)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11946, 787, 11943])).
% 8.31/5.97 tff(11948,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11949,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11950,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 8.31/5.97 tff(11951,plain,
% 8.31/5.97 (~node1(s145)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11950, 195, 11868])).
% 8.31/5.97 tff(11952,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11953,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11954,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 8.31/5.97 tff(11955,plain,
% 8.31/5.97 (node7(s145, s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11954, 206, 11879])).
% 8.31/5.97 tff(11956,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11957,plain,
% 8.31/5.97 (((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1)) <=> ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11958,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146))))),
% 8.31/5.97 inference(monotonicity,[status(thm)],[11957])).
% 8.31/5.97 tff(11959,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 8.31/5.97 inference(transitivity,[status(thm)],[11958, 11956])).
% 8.31/5.97 tff(11960,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11961,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 8.31/5.97 tff(11962,plain,
% 8.31/5.97 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11961, 892, 11955])).
% 8.31/5.97 tff(11963,plain,
% 8.31/5.97 (m_main_v_state1(s146, c_c1)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11962, 11951, 11864, 11828, 11947, 11936])).
% 8.31/5.97 tff(11964,plain,
% 8.31/5.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11965,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11966,plain,
% 8.31/5.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 8.31/5.97 tff(11967,plain,
% 8.31/5.97 (~m_main_v_state1(s146, c_n1)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11966, 454, 11963])).
% 8.31/5.97 tff(11968,plain,
% 8.31/5.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11969,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11970,plain,
% 8.31/5.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 8.31/5.97 tff(11971,plain,
% 8.31/5.97 (~node11(s146)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11970, 238, 11967])).
% 8.31/5.97 tff(11972,plain,
% 8.31/5.97 (succ(s146, s147) <=> succ(s146, s147)),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11973,axiom,(succ(s146, s147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound147')).
% 8.31/5.97 tff(11974,plain,
% 8.31/5.97 (succ(s146, s147)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 8.31/5.97 tff(11975,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11976,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11977,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 8.31/5.97 tff(11978,plain,
% 8.31/5.97 (trans(s146, s147)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11977, 11974, 32])).
% 8.31/5.97 tff(11979,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11980,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11981,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147)),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 8.31/5.97 tff(11982,plain,
% 8.31/5.97 (node14(s146, s147)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11981, 46, 11978])).
% 8.31/5.97 tff(11983,plain,
% 8.31/5.97 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11984,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 8.31/5.97 inference(quant_inst,[status(thm)],[])).
% 8.31/5.97 tff(11985,plain,
% 8.31/5.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147))),
% 8.31/5.97 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 8.31/5.97 tff(11986,plain,
% 8.31/5.97 (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11985, 296, 11982])).
% 8.31/5.97 tff(11987,plain,
% 8.31/5.97 (node13(s146, s147)),
% 8.31/5.97 inference(unit_resolution,[status(thm)],[11986, 11971, 11928, 11924, 11920, 11916, 11899])).
% 8.31/5.97 tff(11988,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11989,plain,
% 8.31/5.97 (((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2))) <=> (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 8.31/5.97 inference(rewrite,[status(thm)],[])).
% 8.31/5.97 tff(11990,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))))),
% 8.31/5.97 inference(monotonicity,[status(thm)],[11989])).
% 8.31/5.97 tff(11991,plain,
% 8.31/5.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 8.31/5.98 inference(transitivity,[status(thm)],[11990, 11988])).
% 8.31/5.98 tff(11992,plain,
% 8.31/5.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(11993,plain,
% 8.31/5.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[11992, 11991])).
% 8.31/5.98 tff(11994,plain,
% 8.31/5.98 (~m_main_v_state2(s147, c_n2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[11993, 311, 11912, 11987])).
% 8.31/5.98 tff(11995,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(11996,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(11997,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 8.31/5.98 tff(11998,plain,
% 8.31/5.98 (~node9(s147)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[11997, 88, 11994])).
% 8.31/5.98 tff(11999,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12000,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12001,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 8.31/5.98 tff(12002,plain,
% 8.31/5.98 (~node10(s147)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12001, 249, 11994])).
% 8.31/5.98 tff(12003,plain,
% 8.31/5.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12004,plain,
% 8.31/5.98 (((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2)) <=> ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12005,plain,
% 8.31/5.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))))),
% 8.31/5.98 inference(monotonicity,[status(thm)],[12004])).
% 8.31/5.98 tff(12006,plain,
% 8.31/5.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 8.31/5.98 inference(transitivity,[status(thm)],[12005, 12003])).
% 8.31/5.98 tff(12007,plain,
% 8.31/5.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12008,plain,
% 8.31/5.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 8.31/5.98 tff(12009,plain,
% 8.31/5.98 (m_main_v_state2(s147, c_t2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12008, 518, 11908, 11987])).
% 8.31/5.98 tff(12010,plain,
% 8.31/5.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12011,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12012,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 8.31/5.98 tff(12013,plain,
% 8.31/5.98 (~m_main_v_state1(s146, c_t1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12012, 539, 11963])).
% 8.31/5.98 tff(12014,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12015,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12016,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 8.31/5.98 tff(12017,plain,
% 8.31/5.98 (~node5(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12016, 550, 12013])).
% 8.31/5.98 tff(12018,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12019,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12020,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 8.31/5.98 tff(12021,plain,
% 8.31/5.98 (~node4(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12020, 388, 11912])).
% 8.31/5.98 tff(12022,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12023,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12024,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 8.31/5.98 tff(12025,plain,
% 8.31/5.98 (~node3(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12024, 399, 11928])).
% 8.31/5.98 tff(12026,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12027,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12028,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 8.31/5.98 tff(12029,plain,
% 8.31/5.98 (~node2(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12028, 410, 11912])).
% 8.31/5.98 tff(12030,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12031,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12032,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12031, 12030])).
% 8.31/5.98 tff(12033,plain,
% 8.31/5.98 (~node1(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12032, 421, 11967])).
% 8.31/5.98 tff(12034,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12035,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12036,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 8.31/5.98 tff(12037,plain,
% 8.31/5.98 (node7(s146, s147)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12036, 206, 11978])).
% 8.31/5.98 tff(12038,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12039,plain,
% 8.31/5.98 (((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1)) <=> (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12040,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))))),
% 8.31/5.98 inference(monotonicity,[status(thm)],[12039])).
% 8.31/5.98 tff(12041,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 8.31/5.98 inference(transitivity,[status(thm)],[12040, 12038])).
% 8.31/5.98 tff(12042,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12043,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 8.31/5.98 tff(12044,plain,
% 8.31/5.98 (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12043, 584, 12037])).
% 8.31/5.98 tff(12045,plain,
% 8.31/5.98 (m_main_v_state1(s147, c_n1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12044, 12033, 11963, 12029, 12025, 12021, 12017])).
% 8.31/5.98 tff(12046,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12047,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12048,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 8.31/5.98 tff(12049,plain,
% 8.31/5.98 (~node8(s147)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12048, 271, 11994])).
% 8.31/5.98 tff(12050,plain,
% 8.31/5.98 (succ(s147, s148) <=> succ(s147, s148)),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12051,axiom,(succ(s147, s148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound148')).
% 8.31/5.98 tff(12052,plain,
% 8.31/5.98 (succ(s147, s148)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 8.31/5.98 tff(12053,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12054,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12055,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 8.31/5.98 tff(12056,plain,
% 8.31/5.98 (trans(s147, s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12055, 12052, 32])).
% 8.31/5.98 tff(12057,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12058,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12059,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 8.31/5.98 tff(12060,plain,
% 8.31/5.98 (node14(s147, s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12059, 46, 12056])).
% 8.31/5.98 tff(12061,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12062,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12063,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 8.31/5.98 tff(12064,plain,
% 8.31/5.98 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | m_main_v_state2(s148, c_c2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12063, 617, 12060])).
% 8.31/5.98 tff(12065,plain,
% 8.31/5.98 (m_main_v_state2(s148, c_c2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12064, 12049, 12045, 12009, 12002, 11998])).
% 8.31/5.98 tff(12066,plain,
% 8.31/5.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12067,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12068,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 8.31/5.98 tff(12069,plain,
% 8.31/5.98 (~m_main_v_state2(s148, c_t2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12068, 260, 12065])).
% 8.31/5.98 tff(12070,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12071,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12072,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 8.31/5.98 tff(12073,plain,
% 8.31/5.98 (~node12(s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12072, 633, 12069])).
% 8.31/5.98 tff(12074,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12075,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12076,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 8.31/5.98 tff(12077,plain,
% 8.31/5.98 (node7(s147, s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12076, 206, 12056])).
% 8.31/5.98 tff(12078,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12079,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12080,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 8.31/5.98 tff(12081,plain,
% 8.31/5.98 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_state1(s148, c_t1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12080, 651, 12077])).
% 8.31/5.98 tff(12082,plain,
% 8.31/5.98 (m_main_v_state1(s148, c_t1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12081, 12009, 12045])).
% 8.31/5.98 tff(12083,plain,
% 8.31/5.98 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12084,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12085,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 8.31/5.98 tff(12086,plain,
% 8.31/5.98 (~m_main_v_state1(s148, c_n1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12085, 10, 12082])).
% 8.31/5.98 tff(12087,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12088,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12089,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 8.31/5.98 tff(12090,plain,
% 8.31/5.98 (~node11(s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12089, 238, 12086])).
% 8.31/5.98 tff(12091,plain,
% 8.31/5.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12092,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12093,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 8.31/5.98 tff(12094,plain,
% 8.31/5.98 (~m_main_v_state1(s148, c_c1)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12093, 539, 12082])).
% 8.31/5.98 tff(12095,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12096,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12097,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 8.31/5.98 tff(12098,plain,
% 8.31/5.98 (~node10(s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12097, 675, 12094])).
% 8.31/5.98 tff(12099,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12100,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12101,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 8.31/5.98 tff(12102,plain,
% 8.31/5.98 (~node9(s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12101, 686, 12086])).
% 8.31/5.98 tff(12103,plain,
% 8.31/5.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12104,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12105,plain,
% 8.31/5.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 8.31/5.98 tff(12106,plain,
% 8.31/5.98 (~m_main_v_state2(s148, c_n2)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12105, 697, 12065])).
% 8.31/5.98 tff(12107,plain,
% 8.31/5.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12108,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12109,plain,
% 8.31/5.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 8.31/5.98 tff(12110,plain,
% 8.31/5.98 (~node8(s148)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12109, 271, 12106])).
% 8.31/5.98 tff(12111,plain,
% 8.31/5.98 (succ(s148, s149) <=> succ(s148, s149)),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12112,axiom,(succ(s148, s149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound149')).
% 8.31/5.98 tff(12113,plain,
% 8.31/5.98 (succ(s148, s149)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12112, 12111])).
% 8.31/5.98 tff(12114,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12115,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12116,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 8.31/5.98 tff(12117,plain,
% 8.31/5.98 (trans(s148, s149)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12116, 12113, 32])).
% 8.31/5.98 tff(12118,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12119,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12120,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149)),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 8.31/5.98 tff(12121,plain,
% 8.31/5.98 (node14(s148, s149)),
% 8.31/5.98 inference(unit_resolution,[status(thm)],[12120, 46, 12117])).
% 8.31/5.98 tff(12122,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12123,plain,
% 8.31/5.98 (((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2)) <=> (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(rewrite,[status(thm)],[])).
% 8.31/5.98 tff(12124,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))))),
% 8.31/5.98 inference(monotonicity,[status(thm)],[12123])).
% 8.31/5.98 tff(12125,plain,
% 8.31/5.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 8.31/5.98 inference(transitivity,[status(thm)],[12124, 12122])).
% 8.31/5.98 tff(12126,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))),
% 8.31/5.98 inference(quant_inst,[status(thm)],[])).
% 8.31/5.98 tff(12127,plain,
% 8.31/5.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))),
% 8.31/5.98 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 8.31/5.98 tff(12128,plain,
% 8.31/5.99 (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~m_main_v_state2(s148, c_c2))),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12127, 726, 12121])).
% 8.31/5.99 tff(12129,plain,
% 8.31/5.99 (m_main_v_state2(s149, c_n2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12128, 12110, 12065, 12102, 12098, 12090, 12073])).
% 8.31/5.99 tff(12130,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12131,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12132,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 8.31/5.99 tff(12133,plain,
% 8.31/5.99 (~m_main_v_state2(s149, c_c2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12132, 697, 12129])).
% 8.31/5.99 tff(12134,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12135,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12136,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 8.31/5.99 tff(12137,plain,
% 8.31/5.99 (~node3(s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12136, 399, 12133])).
% 8.31/5.99 tff(12138,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12139,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12140,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 8.31/5.99 tff(12141,plain,
% 8.31/5.99 (~node1(s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12140, 421, 12086])).
% 8.31/5.99 tff(12142,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12143,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12144,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 8.31/5.99 tff(12145,plain,
% 8.31/5.99 (node18(s147, s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12144, 125, 12056])).
% 8.31/5.99 tff(12146,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12147,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12148,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 8.31/5.99 tff(12149,plain,
% 8.31/5.99 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_turn(s148, c_2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12148, 760, 12145])).
% 8.31/5.99 tff(12150,plain,
% 8.31/5.99 (m_main_v_turn(s148, c_2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12149, 12009, 12045])).
% 8.31/5.99 tff(12151,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12152,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12153,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 8.31/5.99 tff(12154,plain,
% 8.31/5.99 (~m_main_v_turn(s148, c_1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12153, 156, 12150])).
% 8.31/5.99 tff(12155,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12156,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12157,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 8.31/5.99 tff(12158,plain,
% 8.31/5.99 (~node5(s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12157, 776, 12154])).
% 8.31/5.99 tff(12159,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12160,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12161,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 8.31/5.99 tff(12162,plain,
% 8.31/5.99 (~node2(s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12161, 787, 12086])).
% 8.31/5.99 tff(12163,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12164,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12165,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 8.31/5.99 tff(12166,plain,
% 8.31/5.99 (~node3(s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12165, 798, 12086])).
% 8.31/5.99 tff(12167,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12168,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12169,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 8.31/5.99 tff(12170,plain,
% 8.31/5.99 (~node4(s148)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12169, 388, 12106])).
% 8.31/5.99 tff(12171,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12172,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12173,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 8.31/5.99 tff(12174,plain,
% 8.31/5.99 (node7(s148, s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12173, 206, 12117])).
% 8.31/5.99 tff(12175,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12176,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12177,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 8.31/5.99 tff(12178,plain,
% 8.31/5.99 (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12177, 820, 12174])).
% 8.31/5.99 tff(12179,plain,
% 8.31/5.99 (node6(s148, s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12178, 12170, 12094, 12166, 12162, 12158, 12141])).
% 8.31/5.99 tff(12180,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12181,plain,
% 8.31/5.99 (((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1))) <=> (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12182,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))))),
% 8.31/5.99 inference(monotonicity,[status(thm)],[12181])).
% 8.31/5.99 tff(12183,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 8.31/5.99 inference(transitivity,[status(thm)],[12182, 12180])).
% 8.31/5.99 tff(12184,plain,
% 8.31/5.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12185,plain,
% 8.31/5.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 8.31/5.99 tff(12186,plain,
% 8.31/5.99 (~m_main_v_state1(s149, c_n1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12185, 835, 12086, 12179])).
% 8.31/5.99 tff(12187,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12188,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12189,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 8.31/5.99 tff(12190,plain,
% 8.31/5.99 (~node2(s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12189, 787, 12186])).
% 8.31/5.99 tff(12191,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12192,plain,
% 8.31/5.99 (((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1)) <=> ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12193,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))))),
% 8.31/5.99 inference(monotonicity,[status(thm)],[12192])).
% 8.31/5.99 tff(12194,plain,
% 8.31/5.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 8.31/5.99 inference(transitivity,[status(thm)],[12193, 12191])).
% 8.31/5.99 tff(12195,plain,
% 8.31/5.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12196,plain,
% 8.31/5.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 8.31/5.99 tff(12197,plain,
% 8.31/5.99 (m_main_v_state1(s149, c_t1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12196, 856, 12082, 12179])).
% 8.31/5.99 tff(12198,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12199,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12200,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 8.31/5.99 tff(12201,plain,
% 8.31/5.99 (~m_main_v_state2(s149, c_t2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12200, 77, 12129])).
% 8.31/5.99 tff(12202,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12203,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12204,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 8.31/5.99 tff(12205,plain,
% 8.31/5.99 (~node1(s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12204, 195, 12201])).
% 8.31/5.99 tff(12206,plain,
% 8.31/5.99 (succ(s149, s150) <=> succ(s149, s150)),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12207,axiom,(succ(s149, s150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound150')).
% 8.31/5.99 tff(12208,plain,
% 8.31/5.99 (succ(s149, s150)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12207, 12206])).
% 8.31/5.99 tff(12209,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12210,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12211,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 8.31/5.99 tff(12212,plain,
% 8.31/5.99 (trans(s149, s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12211, 12208, 32])).
% 8.31/5.99 tff(12213,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12214,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12215,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12214, 12213])).
% 8.31/5.99 tff(12216,plain,
% 8.31/5.99 (node7(s149, s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12215, 206, 12212])).
% 8.31/5.99 tff(12217,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12218,plain,
% 8.31/5.99 (((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1)) <=> ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12219,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150))))),
% 8.31/5.99 inference(monotonicity,[status(thm)],[12218])).
% 8.31/5.99 tff(12220,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 8.31/5.99 inference(transitivity,[status(thm)],[12219, 12217])).
% 8.31/5.99 tff(12221,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12222,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 8.31/5.99 tff(12223,plain,
% 8.31/5.99 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12222, 892, 12216])).
% 8.31/5.99 tff(12224,plain,
% 8.31/5.99 (m_main_v_state1(s150, c_c1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12223, 12205, 12129, 12197, 12190, 12137])).
% 8.31/5.99 tff(12225,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12226,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12227,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 8.31/5.99 tff(12228,plain,
% 8.31/5.99 (~m_main_v_state1(s150, c_t1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12227, 539, 12224])).
% 8.31/5.99 tff(12229,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12230,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12231,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 8.31/5.99 tff(12232,plain,
% 8.31/5.99 (~node5(s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12231, 550, 12228])).
% 8.31/5.99 tff(12233,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12234,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12235,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 8.31/5.99 tff(12236,plain,
% 8.31/5.99 (node14(s149, s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12235, 46, 12212])).
% 8.31/5.99 tff(12237,plain,
% 8.31/5.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12238,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12239,plain,
% 8.31/5.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2)),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 8.31/5.99 tff(12240,plain,
% 8.31/5.99 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state2(s150, c_t2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12239, 922, 12236])).
% 8.31/5.99 tff(12241,plain,
% 8.31/5.99 (m_main_v_state2(s150, c_t2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12240, 12197, 12129])).
% 8.31/5.99 tff(12242,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12243,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12244,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 8.31/5.99 tff(12245,plain,
% 8.31/5.99 (~m_main_v_state2(s150, c_n2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12244, 77, 12241])).
% 8.31/5.99 tff(12246,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12247,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12248,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 8.31/5.99 tff(12249,plain,
% 8.31/5.99 (~node4(s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12248, 388, 12245])).
% 8.31/5.99 tff(12250,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12251,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12252,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12251, 12250])).
% 8.31/5.99 tff(12253,plain,
% 8.31/5.99 (~m_main_v_state2(s150, c_c2)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12252, 260, 12241])).
% 8.31/5.99 tff(12254,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12255,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12256,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 8.31/5.99 tff(12257,plain,
% 8.31/5.99 (~node3(s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12256, 399, 12253])).
% 8.31/5.99 tff(12258,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12259,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12260,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 8.31/5.99 tff(12261,plain,
% 8.31/5.99 (~node2(s150)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12260, 410, 12245])).
% 8.31/5.99 tff(12262,plain,
% 8.31/5.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12263,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))),
% 8.31/5.99 inference(quant_inst,[status(thm)],[])).
% 8.31/5.99 tff(12264,plain,
% 8.31/5.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1))),
% 8.31/5.99 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 8.31/5.99 tff(12265,plain,
% 8.31/5.99 (~m_main_v_state1(s150, c_n1)),
% 8.31/5.99 inference(unit_resolution,[status(thm)],[12264, 454, 12224])).
% 8.31/5.99 tff(12266,plain,
% 8.31/5.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 8.31/5.99 inference(rewrite,[status(thm)],[])).
% 8.31/5.99 tff(12267,plain,
% 8.31/5.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12268,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 8.37/6.00 tff(12269,plain,
% 8.37/6.00 (~node1(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12268, 421, 12265])).
% 8.37/6.00 tff(12270,plain,
% 8.37/6.00 (succ(s150, s151) <=> succ(s150, s151)),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12271,axiom,(succ(s150, s151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound151')).
% 8.37/6.00 tff(12272,plain,
% 8.37/6.00 (succ(s150, s151)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 8.37/6.00 tff(12273,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12274,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12275,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 8.37/6.00 tff(12276,plain,
% 8.37/6.00 (trans(s150, s151)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12275, 12272, 32])).
% 8.37/6.00 tff(12277,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12278,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12279,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 8.37/6.00 tff(12280,plain,
% 8.37/6.00 (node7(s150, s151)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12279, 206, 12276])).
% 8.37/6.00 tff(12281,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12282,plain,
% 8.37/6.00 (((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1)) <=> (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12283,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))))),
% 8.37/6.00 inference(monotonicity,[status(thm)],[12282])).
% 8.37/6.00 tff(12284,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 8.37/6.00 inference(transitivity,[status(thm)],[12283, 12281])).
% 8.37/6.00 tff(12285,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12286,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 8.37/6.00 tff(12287,plain,
% 8.37/6.00 (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12286, 584, 12280])).
% 8.37/6.00 tff(12288,plain,
% 8.37/6.00 (m_main_v_state1(s151, c_n1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12287, 12269, 12224, 12261, 12257, 12249, 12232])).
% 8.37/6.00 tff(12289,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12290,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12291,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 8.37/6.00 tff(12292,plain,
% 8.37/6.00 (~node15(s149)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12291, 103, 12201])).
% 8.37/6.00 tff(12293,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12294,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12295,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 8.37/6.00 tff(12296,plain,
% 8.37/6.00 (node18(s149, s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12295, 125, 12212])).
% 8.37/6.00 tff(12297,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12298,plain,
% 8.37/6.00 (((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1)) <=> (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12299,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)))),
% 8.37/6.00 inference(monotonicity,[status(thm)],[12298])).
% 8.37/6.00 tff(12300,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 8.37/6.00 inference(transitivity,[status(thm)],[12299, 12297])).
% 8.37/6.00 tff(12301,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12302,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12301, 12300])).
% 8.37/6.00 tff(12303,plain,
% 8.37/6.00 (node15(s149) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12302, 992, 12296])).
% 8.37/6.00 tff(12304,plain,
% 8.37/6.00 (m_main_v_turn(s150, c_1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12303, 12292, 12129, 12197])).
% 8.37/6.00 tff(12305,plain,
% 8.37/6.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12306,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12307,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 8.37/6.00 tff(12308,plain,
% 8.37/6.00 (~m_main_v_turn(s150, c_2)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12307, 156, 12304])).
% 8.37/6.00 tff(12309,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12310,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12311,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 8.37/6.00 tff(12312,plain,
% 8.37/6.00 (~node12(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12311, 184, 12308])).
% 8.37/6.00 tff(12313,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12314,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12315,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 8.37/6.00 tff(12316,plain,
% 8.37/6.00 (~node8(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12315, 271, 12245])).
% 8.37/6.00 tff(12317,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12318,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12319,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 8.37/6.00 tff(12320,plain,
% 8.37/6.00 (~node9(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12319, 88, 12245])).
% 8.37/6.00 tff(12321,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12322,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12323,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 8.37/6.00 tff(12324,plain,
% 8.37/6.00 (~node10(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12323, 249, 12245])).
% 8.37/6.00 tff(12325,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12326,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12327,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 8.37/6.00 tff(12328,plain,
% 8.37/6.00 (~node11(s150)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12327, 238, 12265])).
% 8.37/6.00 tff(12329,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12330,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12331,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 8.37/6.00 tff(12332,plain,
% 8.37/6.00 (node14(s150, s151)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12331, 46, 12276])).
% 8.37/6.00 tff(12333,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12334,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12335,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 8.37/6.00 tff(12336,plain,
% 8.37/6.00 (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12335, 296, 12332])).
% 8.37/6.00 tff(12337,plain,
% 8.37/6.00 (node13(s150, s151)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12336, 12328, 12253, 12324, 12320, 12316, 12312])).
% 8.37/6.00 tff(12338,plain,
% 8.37/6.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12339,plain,
% 8.37/6.00 (((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2)) <=> ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12340,plain,
% 8.37/6.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))))),
% 8.37/6.00 inference(monotonicity,[status(thm)],[12339])).
% 8.37/6.00 tff(12341,plain,
% 8.37/6.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 8.37/6.00 inference(transitivity,[status(thm)],[12340, 12338])).
% 8.37/6.00 tff(12342,plain,
% 8.37/6.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12343,plain,
% 8.37/6.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 8.37/6.00 tff(12344,plain,
% 8.37/6.00 (m_main_v_state2(s151, c_t2)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12343, 518, 12241, 12337])).
% 8.37/6.00 tff(12345,plain,
% 8.37/6.00 (succ(s151, s152) <=> succ(s151, s152)),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12346,axiom,(succ(s151, s152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound152')).
% 8.37/6.00 tff(12347,plain,
% 8.37/6.00 (succ(s151, s152)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 8.37/6.00 tff(12348,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12349,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12350,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 8.37/6.00 tff(12351,plain,
% 8.37/6.00 (trans(s151, s152)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12350, 12347, 32])).
% 8.37/6.00 tff(12352,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12353,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12354,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 8.37/6.00 tff(12355,plain,
% 8.37/6.00 (node7(s151, s152)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12354, 206, 12351])).
% 8.37/6.00 tff(12356,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12357,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12358,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 8.37/6.00 tff(12359,plain,
% 8.37/6.00 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_state1(s152, c_t1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12358, 651, 12355])).
% 8.37/6.00 tff(12360,plain,
% 8.37/6.00 (m_main_v_state1(s152, c_t1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12359, 12344, 12288])).
% 8.37/6.00 tff(12361,plain,
% 8.37/6.00 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12362,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12363,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12362, 12361])).
% 8.37/6.00 tff(12364,plain,
% 8.37/6.00 (~m_main_v_state1(s152, c_n1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12363, 10, 12360])).
% 8.37/6.00 tff(12365,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12366,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12367,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12366, 12365])).
% 8.37/6.00 tff(12368,plain,
% 8.37/6.00 (~node1(s152)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12367, 421, 12364])).
% 8.37/6.00 tff(12369,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12370,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12371,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 8.37/6.00 tff(12372,plain,
% 8.37/6.00 (node18(s151, s152)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12371, 125, 12351])).
% 8.37/6.00 tff(12373,plain,
% 8.37/6.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12374,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12375,plain,
% 8.37/6.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2)),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12374, 12373])).
% 8.37/6.00 tff(12376,plain,
% 8.37/6.00 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_turn(s152, c_2)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12375, 760, 12372])).
% 8.37/6.00 tff(12377,plain,
% 8.37/6.00 (m_main_v_turn(s152, c_2)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12376, 12344, 12288])).
% 8.37/6.00 tff(12378,plain,
% 8.37/6.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12379,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12380,plain,
% 8.37/6.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12379, 12378])).
% 8.37/6.00 tff(12381,plain,
% 8.37/6.00 (~m_main_v_turn(s152, c_1)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12380, 156, 12377])).
% 8.37/6.00 tff(12382,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12383,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 8.37/6.00 inference(quant_inst,[status(thm)],[])).
% 8.37/6.00 tff(12384,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152))),
% 8.37/6.00 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 8.37/6.00 tff(12385,plain,
% 8.37/6.00 (~node5(s152)),
% 8.37/6.00 inference(unit_resolution,[status(thm)],[12384, 776, 12381])).
% 8.37/6.00 tff(12386,plain,
% 8.37/6.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 8.37/6.00 inference(rewrite,[status(thm)],[])).
% 8.37/6.00 tff(12387,plain,
% 8.37/6.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12388,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12387, 12386])).
% 8.37/6.01 tff(12389,plain,
% 8.37/6.01 (~node2(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12388, 787, 12364])).
% 8.37/6.01 tff(12390,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12391,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12392,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12391, 12390])).
% 8.37/6.01 tff(12393,plain,
% 8.37/6.01 (~node3(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12392, 798, 12364])).
% 8.37/6.01 tff(12394,plain,
% 8.37/6.01 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12395,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12396,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12395, 12394])).
% 8.37/6.01 tff(12397,plain,
% 8.37/6.01 (~m_main_v_state1(s152, c_c1)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12396, 539, 12360])).
% 8.37/6.01 tff(12398,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12399,plain,
% 8.37/6.01 (((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2))) <=> (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12400,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))))),
% 8.37/6.01 inference(monotonicity,[status(thm)],[12399])).
% 8.37/6.01 tff(12401,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 8.37/6.01 inference(transitivity,[status(thm)],[12400, 12398])).
% 8.37/6.01 tff(12402,plain,
% 8.37/6.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12403,plain,
% 8.37/6.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 8.37/6.01 tff(12404,plain,
% 8.37/6.01 (~m_main_v_state2(s151, c_n2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12403, 311, 12245, 12337])).
% 8.37/6.01 tff(12405,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12406,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12407,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 8.37/6.01 tff(12408,plain,
% 8.37/6.01 (~node9(s151)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12407, 88, 12404])).
% 8.37/6.01 tff(12409,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12410,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12411,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 8.37/6.01 tff(12412,plain,
% 8.37/6.01 (~node10(s151)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12411, 249, 12404])).
% 8.37/6.01 tff(12413,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12414,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12415,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 8.37/6.01 tff(12416,plain,
% 8.37/6.01 (~node8(s151)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12415, 271, 12404])).
% 8.37/6.01 tff(12417,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12418,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12419,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 8.37/6.01 tff(12420,plain,
% 8.37/6.01 (node14(s151, s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12419, 46, 12351])).
% 8.37/6.01 tff(12421,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12422,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12423,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 8.37/6.01 tff(12424,plain,
% 8.37/6.01 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | m_main_v_state2(s152, c_c2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12423, 617, 12420])).
% 8.37/6.01 tff(12425,plain,
% 8.37/6.01 (m_main_v_state2(s152, c_c2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12424, 12416, 12288, 12344, 12412, 12408])).
% 8.37/6.01 tff(12426,plain,
% 8.37/6.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12427,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12428,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 8.37/6.01 tff(12429,plain,
% 8.37/6.01 (~m_main_v_state2(s152, c_n2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12428, 697, 12425])).
% 8.37/6.01 tff(12430,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12431,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12432,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12431, 12430])).
% 8.37/6.01 tff(12433,plain,
% 8.37/6.01 (~node4(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12432, 388, 12429])).
% 8.37/6.01 tff(12434,plain,
% 8.37/6.01 (succ(s152, s153) <=> succ(s152, s153)),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12435,axiom,(succ(s152, s153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound153')).
% 8.37/6.01 tff(12436,plain,
% 8.37/6.01 (succ(s152, s153)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 8.37/6.01 tff(12437,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12438,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12439,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 8.37/6.01 tff(12440,plain,
% 8.37/6.01 (trans(s152, s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12439, 12436, 32])).
% 8.37/6.01 tff(12441,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12442,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12443,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 8.37/6.01 tff(12444,plain,
% 8.37/6.01 (node7(s152, s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12443, 206, 12440])).
% 8.37/6.01 tff(12445,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12446,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12447,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 8.37/6.01 tff(12448,plain,
% 8.37/6.01 (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12447, 820, 12444])).
% 8.37/6.01 tff(12449,plain,
% 8.37/6.01 (node6(s152, s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12448, 12433, 12397, 12393, 12389, 12385, 12368])).
% 8.37/6.01 tff(12450,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12451,plain,
% 8.37/6.01 (((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1)) <=> ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12452,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))))),
% 8.37/6.01 inference(monotonicity,[status(thm)],[12451])).
% 8.37/6.01 tff(12453,plain,
% 8.37/6.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 8.37/6.01 inference(transitivity,[status(thm)],[12452, 12450])).
% 8.37/6.01 tff(12454,plain,
% 8.37/6.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12455,plain,
% 8.37/6.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 8.37/6.01 tff(12456,plain,
% 8.37/6.01 (m_main_v_state1(s153, c_t1)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12455, 856, 12360, 12449])).
% 8.37/6.01 tff(12457,plain,
% 8.37/6.01 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12458,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12459,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 8.37/6.01 tff(12460,plain,
% 8.37/6.01 (~m_main_v_state2(s152, c_t2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12459, 260, 12425])).
% 8.37/6.01 tff(12461,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12462,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12463,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 8.37/6.01 tff(12464,plain,
% 8.37/6.01 (~node12(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12463, 633, 12460])).
% 8.37/6.01 tff(12465,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12466,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12467,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 8.37/6.01 tff(12468,plain,
% 8.37/6.01 (~node11(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12467, 238, 12364])).
% 8.37/6.01 tff(12469,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12470,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12471,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 8.37/6.01 tff(12472,plain,
% 8.37/6.01 (~node10(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12471, 675, 12397])).
% 8.37/6.01 tff(12473,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12474,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12475,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 8.37/6.01 tff(12476,plain,
% 8.37/6.01 (~node9(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12475, 686, 12364])).
% 8.37/6.01 tff(12477,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12478,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12479,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 8.37/6.01 tff(12480,plain,
% 8.37/6.01 (~node8(s152)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12479, 271, 12429])).
% 8.37/6.01 tff(12481,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12482,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12483,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 8.37/6.01 tff(12484,plain,
% 8.37/6.01 (node14(s152, s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12483, 46, 12440])).
% 8.37/6.01 tff(12485,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12486,plain,
% 8.37/6.01 (((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2)) <=> (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12487,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))))),
% 8.37/6.01 inference(monotonicity,[status(thm)],[12486])).
% 8.37/6.01 tff(12488,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 8.37/6.01 inference(transitivity,[status(thm)],[12487, 12485])).
% 8.37/6.01 tff(12489,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12490,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 8.37/6.01 tff(12491,plain,
% 8.37/6.01 (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~m_main_v_state2(s152, c_c2))),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12490, 726, 12484])).
% 8.37/6.01 tff(12492,plain,
% 8.37/6.01 (m_main_v_state2(s153, c_n2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12491, 12480, 12425, 12476, 12472, 12468, 12464])).
% 8.37/6.01 tff(12493,plain,
% 8.37/6.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12494,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12495,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12494, 12493])).
% 8.37/6.01 tff(12496,plain,
% 8.37/6.01 (~m_main_v_state2(s153, c_t2)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12495, 77, 12492])).
% 8.37/6.01 tff(12497,plain,
% 8.37/6.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12498,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12499,plain,
% 8.37/6.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153))),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 8.37/6.01 tff(12500,plain,
% 8.37/6.01 (~node15(s153)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12499, 103, 12496])).
% 8.37/6.01 tff(12501,plain,
% 8.37/6.01 (succ(s153, s154) <=> succ(s153, s154)),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12502,axiom,(succ(s153, s154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound154')).
% 8.37/6.01 tff(12503,plain,
% 8.37/6.01 (succ(s153, s154)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 8.37/6.01 tff(12504,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12505,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12506,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 8.37/6.01 tff(12507,plain,
% 8.37/6.01 (trans(s153, s154)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12506, 12503, 32])).
% 8.37/6.01 tff(12508,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12509,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12510,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 8.37/6.01 tff(12511,plain,
% 8.37/6.01 (node18(s153, s154)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12510, 125, 12507])).
% 8.37/6.01 tff(12512,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12513,plain,
% 8.37/6.01 (((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1)) <=> (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12514,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)))),
% 8.37/6.01 inference(monotonicity,[status(thm)],[12513])).
% 8.37/6.01 tff(12515,plain,
% 8.37/6.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 8.37/6.01 inference(transitivity,[status(thm)],[12514, 12512])).
% 8.37/6.01 tff(12516,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12517,plain,
% 8.37/6.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 8.37/6.01 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 8.37/6.01 tff(12518,plain,
% 8.37/6.01 (node15(s153) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12517, 992, 12511])).
% 8.37/6.01 tff(12519,plain,
% 8.37/6.01 (m_main_v_turn(s154, c_1)),
% 8.37/6.01 inference(unit_resolution,[status(thm)],[12518, 12500, 12492, 12456])).
% 8.37/6.01 tff(12520,plain,
% 8.37/6.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))),
% 8.37/6.01 inference(rewrite,[status(thm)],[])).
% 8.37/6.01 tff(12521,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))),
% 8.37/6.01 inference(quant_inst,[status(thm)],[])).
% 8.37/6.01 tff(12522,plain,
% 8.37/6.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 8.37/6.02 tff(12523,plain,
% 8.37/6.02 (~m_main_v_turn(s154, c_2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12522, 156, 12519])).
% 8.37/6.02 tff(12524,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12525,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12526,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 8.37/6.02 tff(12527,plain,
% 8.37/6.02 (~node12(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12526, 184, 12523])).
% 8.37/6.02 tff(12528,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12529,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12530,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 8.37/6.02 tff(12531,plain,
% 8.37/6.02 (node14(s153, s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12530, 46, 12507])).
% 8.37/6.02 tff(12532,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12533,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12534,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 8.37/6.02 tff(12535,plain,
% 8.37/6.02 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state2(s154, c_t2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12534, 922, 12531])).
% 8.37/6.02 tff(12536,plain,
% 8.37/6.02 (m_main_v_state2(s154, c_t2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12535, 12456, 12492])).
% 8.37/6.02 tff(12537,plain,
% 8.37/6.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12538,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12539,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 8.37/6.02 tff(12540,plain,
% 8.37/6.02 (~m_main_v_state2(s154, c_n2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12539, 77, 12536])).
% 8.37/6.02 tff(12541,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12542,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12543,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 8.37/6.02 tff(12544,plain,
% 8.37/6.02 (~node8(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12543, 271, 12540])).
% 8.37/6.02 tff(12545,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12546,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12547,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 8.37/6.02 tff(12548,plain,
% 8.37/6.02 (~node9(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12547, 88, 12540])).
% 8.37/6.02 tff(12549,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12550,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12551,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 8.37/6.02 tff(12552,plain,
% 8.37/6.02 (~node10(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12551, 249, 12540])).
% 8.37/6.02 tff(12553,plain,
% 8.37/6.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12554,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12555,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 8.37/6.02 tff(12556,plain,
% 8.37/6.02 (~m_main_v_state2(s154, c_c2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12555, 260, 12536])).
% 8.37/6.02 tff(12557,plain,
% 8.37/6.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12558,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12559,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 8.37/6.02 tff(12560,plain,
% 8.37/6.02 (~m_main_v_state2(s153, c_c2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12559, 697, 12492])).
% 8.37/6.02 tff(12561,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12562,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12563,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 8.37/6.02 tff(12564,plain,
% 8.37/6.02 (~node3(s153)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12563, 399, 12560])).
% 8.37/6.02 tff(12565,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12566,plain,
% 8.37/6.02 (((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1))) <=> (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12567,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))))),
% 8.37/6.02 inference(monotonicity,[status(thm)],[12566])).
% 8.37/6.02 tff(12568,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 8.37/6.02 inference(transitivity,[status(thm)],[12567, 12565])).
% 8.37/6.02 tff(12569,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12570,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 8.37/6.02 tff(12571,plain,
% 8.37/6.02 (~m_main_v_state1(s153, c_n1)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12570, 835, 12364, 12449])).
% 8.37/6.02 tff(12572,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12573,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12574,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 8.37/6.02 tff(12575,plain,
% 8.37/6.02 (~node2(s153)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12574, 787, 12571])).
% 8.37/6.02 tff(12576,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12577,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12578,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 8.37/6.02 tff(12579,plain,
% 8.37/6.02 (~node1(s153)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12578, 195, 12496])).
% 8.37/6.02 tff(12580,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12581,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12582,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 8.37/6.02 tff(12583,plain,
% 8.37/6.02 (node7(s153, s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12582, 206, 12507])).
% 8.37/6.02 tff(12584,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12585,plain,
% 8.37/6.02 (((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1)) <=> ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12586,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154))))),
% 8.37/6.02 inference(monotonicity,[status(thm)],[12585])).
% 8.37/6.02 tff(12587,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 8.37/6.02 inference(transitivity,[status(thm)],[12586, 12584])).
% 8.37/6.02 tff(12588,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12589,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 8.37/6.02 tff(12590,plain,
% 8.37/6.02 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12589, 892, 12583])).
% 8.37/6.02 tff(12591,plain,
% 8.37/6.02 (m_main_v_state1(s154, c_c1)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12590, 12579, 12492, 12456, 12575, 12564])).
% 8.37/6.02 tff(12592,plain,
% 8.37/6.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12593,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12594,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 8.37/6.02 tff(12595,plain,
% 8.37/6.02 (~m_main_v_state1(s154, c_n1)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12594, 454, 12591])).
% 8.37/6.02 tff(12596,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12597,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12598,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 8.37/6.02 tff(12599,plain,
% 8.37/6.02 (~node11(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12598, 238, 12595])).
% 8.37/6.02 tff(12600,plain,
% 8.37/6.02 (succ(s154, s155) <=> succ(s154, s155)),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12601,axiom,(succ(s154, s155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound155')).
% 8.37/6.02 tff(12602,plain,
% 8.37/6.02 (succ(s154, s155)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 8.37/6.02 tff(12603,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12604,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12605,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 8.37/6.02 tff(12606,plain,
% 8.37/6.02 (trans(s154, s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12605, 12602, 32])).
% 8.37/6.02 tff(12607,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12608,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12609,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155)),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 8.37/6.02 tff(12610,plain,
% 8.37/6.02 (node14(s154, s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12609, 46, 12606])).
% 8.37/6.02 tff(12611,plain,
% 8.37/6.02 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12612,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12613,plain,
% 8.37/6.02 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 8.37/6.02 tff(12614,plain,
% 8.37/6.02 (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12613, 296, 12610])).
% 8.37/6.02 tff(12615,plain,
% 8.37/6.02 (node13(s154, s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12614, 12599, 12556, 12552, 12548, 12544, 12527])).
% 8.37/6.02 tff(12616,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12617,plain,
% 8.37/6.02 (((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2))) <=> (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12618,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))))),
% 8.37/6.02 inference(monotonicity,[status(thm)],[12617])).
% 8.37/6.02 tff(12619,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 8.37/6.02 inference(transitivity,[status(thm)],[12618, 12616])).
% 8.37/6.02 tff(12620,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12621,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 8.37/6.02 tff(12622,plain,
% 8.37/6.02 (~m_main_v_state2(s155, c_n2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12621, 311, 12540, 12615])).
% 8.37/6.02 tff(12623,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12624,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12625,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 8.37/6.02 tff(12626,plain,
% 8.37/6.02 (~node9(s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12625, 88, 12622])).
% 8.37/6.02 tff(12627,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12628,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12629,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 8.37/6.02 tff(12630,plain,
% 8.37/6.02 (~node10(s155)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12629, 249, 12622])).
% 8.37/6.02 tff(12631,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12632,plain,
% 8.37/6.02 (((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2)) <=> ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12633,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))))),
% 8.37/6.02 inference(monotonicity,[status(thm)],[12632])).
% 8.37/6.02 tff(12634,plain,
% 8.37/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 8.37/6.02 inference(transitivity,[status(thm)],[12633, 12631])).
% 8.37/6.02 tff(12635,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12636,plain,
% 8.37/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12635, 12634])).
% 8.37/6.02 tff(12637,plain,
% 8.37/6.02 (m_main_v_state2(s155, c_t2)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12636, 518, 12536, 12615])).
% 8.37/6.02 tff(12638,plain,
% 8.37/6.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12639,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12640,plain,
% 8.37/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 8.37/6.02 tff(12641,plain,
% 8.37/6.02 (~m_main_v_state1(s154, c_t1)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12640, 539, 12591])).
% 8.37/6.02 tff(12642,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12643,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12644,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 8.37/6.02 tff(12645,plain,
% 8.37/6.02 (~node5(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12644, 550, 12641])).
% 8.37/6.02 tff(12646,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12647,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12648,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 8.37/6.02 tff(12649,plain,
% 8.37/6.02 (~node4(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12648, 388, 12540])).
% 8.37/6.02 tff(12650,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12651,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12652,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 8.37/6.02 tff(12653,plain,
% 8.37/6.02 (~node3(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12652, 399, 12556])).
% 8.37/6.02 tff(12654,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12655,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12656,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 8.37/6.02 tff(12657,plain,
% 8.37/6.02 (~node2(s154)),
% 8.37/6.02 inference(unit_resolution,[status(thm)],[12656, 410, 12540])).
% 8.37/6.02 tff(12658,plain,
% 8.37/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 8.37/6.02 inference(rewrite,[status(thm)],[])).
% 8.37/6.02 tff(12659,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 8.37/6.02 inference(quant_inst,[status(thm)],[])).
% 8.37/6.02 tff(12660,plain,
% 8.37/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154))),
% 8.37/6.02 inference(modus_ponens,[status(thm)],[12659, 12658])).
% 8.37/6.03 tff(12661,plain,
% 8.37/6.03 (~node1(s154)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12660, 421, 12595])).
% 8.37/6.03 tff(12662,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12663,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12664,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 8.37/6.03 tff(12665,plain,
% 8.37/6.03 (node7(s154, s155)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12664, 206, 12606])).
% 8.37/6.03 tff(12666,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12667,plain,
% 8.37/6.03 (((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1)) <=> (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12668,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))))),
% 8.37/6.03 inference(monotonicity,[status(thm)],[12667])).
% 8.37/6.03 tff(12669,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 8.37/6.03 inference(transitivity,[status(thm)],[12668, 12666])).
% 8.37/6.03 tff(12670,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12671,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 8.37/6.03 tff(12672,plain,
% 8.37/6.03 (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12671, 584, 12665])).
% 8.37/6.03 tff(12673,plain,
% 8.37/6.03 (m_main_v_state1(s155, c_n1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12672, 12661, 12591, 12657, 12653, 12649, 12645])).
% 8.37/6.03 tff(12674,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12675,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12676,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12675, 12674])).
% 8.37/6.03 tff(12677,plain,
% 8.37/6.03 (~node8(s155)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12676, 271, 12622])).
% 8.37/6.03 tff(12678,plain,
% 8.37/6.03 (succ(s155, s156) <=> succ(s155, s156)),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12679,axiom,(succ(s155, s156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound156')).
% 8.37/6.03 tff(12680,plain,
% 8.37/6.03 (succ(s155, s156)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 8.37/6.03 tff(12681,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12682,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12683,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 8.37/6.03 tff(12684,plain,
% 8.37/6.03 (trans(s155, s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12683, 12680, 32])).
% 8.37/6.03 tff(12685,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12686,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12687,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 8.37/6.03 tff(12688,plain,
% 8.37/6.03 (node14(s155, s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12687, 46, 12684])).
% 8.37/6.03 tff(12689,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12690,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12691,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 8.37/6.03 tff(12692,plain,
% 8.37/6.03 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | m_main_v_state2(s156, c_c2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12691, 617, 12688])).
% 8.37/6.03 tff(12693,plain,
% 8.37/6.03 (m_main_v_state2(s156, c_c2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12692, 12677, 12673, 12637, 12630, 12626])).
% 8.37/6.03 tff(12694,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12695,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12696,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 8.37/6.03 tff(12697,plain,
% 8.37/6.03 (~m_main_v_state2(s156, c_t2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12696, 260, 12693])).
% 8.37/6.03 tff(12698,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12699,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12700,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 8.37/6.03 tff(12701,plain,
% 8.37/6.03 (~node12(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12700, 633, 12697])).
% 8.37/6.03 tff(12702,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12703,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12704,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 8.37/6.03 tff(12705,plain,
% 8.37/6.03 (node7(s155, s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12704, 206, 12684])).
% 8.37/6.03 tff(12706,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12707,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12708,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 8.37/6.03 tff(12709,plain,
% 8.37/6.03 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_state1(s156, c_t1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12708, 651, 12705])).
% 8.37/6.03 tff(12710,plain,
% 8.37/6.03 (m_main_v_state1(s156, c_t1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12709, 12637, 12673])).
% 8.37/6.03 tff(12711,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12712,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12713,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 8.37/6.03 tff(12714,plain,
% 8.37/6.03 (~m_main_v_state1(s156, c_n1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12713, 10, 12710])).
% 8.37/6.03 tff(12715,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12716,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12717,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 8.37/6.03 tff(12718,plain,
% 8.37/6.03 (~node11(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12717, 238, 12714])).
% 8.37/6.03 tff(12719,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12720,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12721,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12720, 12719])).
% 8.37/6.03 tff(12722,plain,
% 8.37/6.03 (~m_main_v_state1(s156, c_c1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12721, 539, 12710])).
% 8.37/6.03 tff(12723,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12724,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12725,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 8.37/6.03 tff(12726,plain,
% 8.37/6.03 (~node10(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12725, 675, 12722])).
% 8.37/6.03 tff(12727,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12728,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12729,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 8.37/6.03 tff(12730,plain,
% 8.37/6.03 (~node9(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12729, 686, 12714])).
% 8.37/6.03 tff(12731,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12732,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12733,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 8.37/6.03 tff(12734,plain,
% 8.37/6.03 (~m_main_v_state2(s156, c_n2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12733, 697, 12693])).
% 8.37/6.03 tff(12735,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12736,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12737,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 8.37/6.03 tff(12738,plain,
% 8.37/6.03 (~node8(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12737, 271, 12734])).
% 8.37/6.03 tff(12739,plain,
% 8.37/6.03 (succ(s156, s157) <=> succ(s156, s157)),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12740,axiom,(succ(s156, s157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound157')).
% 8.37/6.03 tff(12741,plain,
% 8.37/6.03 (succ(s156, s157)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12740, 12739])).
% 8.37/6.03 tff(12742,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12743,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12744,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 8.37/6.03 tff(12745,plain,
% 8.37/6.03 (trans(s156, s157)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12744, 12741, 32])).
% 8.37/6.03 tff(12746,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12747,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12748,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 8.37/6.03 tff(12749,plain,
% 8.37/6.03 (node14(s156, s157)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12748, 46, 12745])).
% 8.37/6.03 tff(12750,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12751,plain,
% 8.37/6.03 (((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2)) <=> (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12752,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2))))),
% 8.37/6.03 inference(monotonicity,[status(thm)],[12751])).
% 8.37/6.03 tff(12753,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 8.37/6.03 inference(transitivity,[status(thm)],[12752, 12750])).
% 8.37/6.03 tff(12754,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12755,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 8.37/6.03 tff(12756,plain,
% 8.37/6.03 (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~m_main_v_state2(s156, c_c2))),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12755, 726, 12749])).
% 8.37/6.03 tff(12757,plain,
% 8.37/6.03 (m_main_v_state2(s157, c_n2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12756, 12738, 12693, 12730, 12726, 12718, 12701])).
% 8.37/6.03 tff(12758,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12759,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12760,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12759, 12758])).
% 8.37/6.03 tff(12761,plain,
% 8.37/6.03 (~m_main_v_state2(s157, c_c2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12760, 697, 12757])).
% 8.37/6.03 tff(12762,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12763,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12764,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 8.37/6.03 tff(12765,plain,
% 8.37/6.03 (~node3(s157)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12764, 399, 12761])).
% 8.37/6.03 tff(12766,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12767,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12768,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12767, 12766])).
% 8.37/6.03 tff(12769,plain,
% 8.37/6.03 (~node1(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12768, 421, 12714])).
% 8.37/6.03 tff(12770,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12771,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12772,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 8.37/6.03 tff(12773,plain,
% 8.37/6.03 (node18(s155, s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12772, 125, 12684])).
% 8.37/6.03 tff(12774,plain,
% 8.37/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12775,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12776,plain,
% 8.37/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2)),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 8.37/6.03 tff(12777,plain,
% 8.37/6.03 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_turn(s156, c_2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12776, 760, 12773])).
% 8.37/6.03 tff(12778,plain,
% 8.37/6.03 (m_main_v_turn(s156, c_2)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12777, 12637, 12673])).
% 8.37/6.03 tff(12779,plain,
% 8.37/6.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12780,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12781,plain,
% 8.37/6.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 8.37/6.03 tff(12782,plain,
% 8.37/6.03 (~m_main_v_turn(s156, c_1)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12781, 156, 12778])).
% 8.37/6.03 tff(12783,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12784,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12785,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 8.37/6.03 tff(12786,plain,
% 8.37/6.03 (~node5(s156)),
% 8.37/6.03 inference(unit_resolution,[status(thm)],[12785, 776, 12782])).
% 8.37/6.03 tff(12787,plain,
% 8.37/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 8.37/6.03 inference(rewrite,[status(thm)],[])).
% 8.37/6.03 tff(12788,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 8.37/6.03 inference(quant_inst,[status(thm)],[])).
% 8.37/6.03 tff(12789,plain,
% 8.37/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156))),
% 8.37/6.03 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 8.37/6.03 tff(12790,plain,
% 8.37/6.03 (~node2(s156)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12789, 787, 12714])).
% 8.37/6.04 tff(12791,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12792,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12793,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 8.37/6.04 tff(12794,plain,
% 8.37/6.04 (~node3(s156)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12793, 798, 12714])).
% 8.37/6.04 tff(12795,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12796,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12797,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 8.37/6.04 tff(12798,plain,
% 8.37/6.04 (~node4(s156)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12797, 388, 12734])).
% 8.37/6.04 tff(12799,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12800,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12801,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 8.37/6.04 tff(12802,plain,
% 8.37/6.04 (node7(s156, s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12801, 206, 12745])).
% 8.37/6.04 tff(12803,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12804,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12805,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12804, 12803])).
% 8.37/6.04 tff(12806,plain,
% 8.37/6.04 (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12805, 820, 12802])).
% 8.37/6.04 tff(12807,plain,
% 8.37/6.04 (node6(s156, s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12806, 12798, 12722, 12794, 12790, 12786, 12769])).
% 8.37/6.04 tff(12808,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12809,plain,
% 8.37/6.04 (((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1))) <=> (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12810,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))))),
% 8.37/6.04 inference(monotonicity,[status(thm)],[12809])).
% 8.37/6.04 tff(12811,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 8.37/6.04 inference(transitivity,[status(thm)],[12810, 12808])).
% 8.37/6.04 tff(12812,plain,
% 8.37/6.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12813,plain,
% 8.37/6.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 8.37/6.04 tff(12814,plain,
% 8.37/6.04 (~m_main_v_state1(s157, c_n1)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12813, 835, 12714, 12807])).
% 8.37/6.04 tff(12815,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12816,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12817,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 8.37/6.04 tff(12818,plain,
% 8.37/6.04 (~node2(s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12817, 787, 12814])).
% 8.37/6.04 tff(12819,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12820,plain,
% 8.37/6.04 (((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1)) <=> ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12821,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))))),
% 8.37/6.04 inference(monotonicity,[status(thm)],[12820])).
% 8.37/6.04 tff(12822,plain,
% 8.37/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 8.37/6.04 inference(transitivity,[status(thm)],[12821, 12819])).
% 8.37/6.04 tff(12823,plain,
% 8.37/6.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12824,plain,
% 8.37/6.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 8.37/6.04 tff(12825,plain,
% 8.37/6.04 (m_main_v_state1(s157, c_t1)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12824, 856, 12710, 12807])).
% 8.37/6.04 tff(12826,plain,
% 8.37/6.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12827,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12828,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 8.37/6.04 tff(12829,plain,
% 8.37/6.04 (~m_main_v_state2(s157, c_t2)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12828, 77, 12757])).
% 8.37/6.04 tff(12830,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12831,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12832,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 8.37/6.04 tff(12833,plain,
% 8.37/6.04 (~node1(s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12832, 195, 12829])).
% 8.37/6.04 tff(12834,plain,
% 8.37/6.04 (succ(s157, s158) <=> succ(s157, s158)),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12835,axiom,(succ(s157, s158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound158')).
% 8.37/6.04 tff(12836,plain,
% 8.37/6.04 (succ(s157, s158)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 8.37/6.04 tff(12837,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12838,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12839,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12838, 12837])).
% 8.37/6.04 tff(12840,plain,
% 8.37/6.04 (trans(s157, s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12839, 12836, 32])).
% 8.37/6.04 tff(12841,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12842,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12843,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 8.37/6.04 tff(12844,plain,
% 8.37/6.04 (node7(s157, s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12843, 206, 12840])).
% 8.37/6.04 tff(12845,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12846,plain,
% 8.37/6.04 (((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1)) <=> ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12847,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158))))),
% 8.37/6.04 inference(monotonicity,[status(thm)],[12846])).
% 8.37/6.04 tff(12848,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 8.37/6.04 inference(transitivity,[status(thm)],[12847, 12845])).
% 8.37/6.04 tff(12849,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12850,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 8.37/6.04 tff(12851,plain,
% 8.37/6.04 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12850, 892, 12844])).
% 8.37/6.04 tff(12852,plain,
% 8.37/6.04 (m_main_v_state1(s158, c_c1)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12851, 12833, 12757, 12825, 12818, 12765])).
% 8.37/6.04 tff(12853,plain,
% 8.37/6.04 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12854,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12855,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 8.37/6.04 tff(12856,plain,
% 8.37/6.04 (~m_main_v_state1(s158, c_t1)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12855, 539, 12852])).
% 8.37/6.04 tff(12857,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12858,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12859,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 8.37/6.04 tff(12860,plain,
% 8.37/6.04 (~node5(s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12859, 550, 12856])).
% 8.37/6.04 tff(12861,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12862,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12863,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 8.37/6.04 tff(12864,plain,
% 8.37/6.04 (node14(s157, s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12863, 46, 12840])).
% 8.37/6.04 tff(12865,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12866,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12867,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12866, 12865])).
% 8.37/6.04 tff(12868,plain,
% 8.37/6.04 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state2(s158, c_t2)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12867, 922, 12864])).
% 8.37/6.04 tff(12869,plain,
% 8.37/6.04 (m_main_v_state2(s158, c_t2)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12868, 12825, 12757])).
% 8.37/6.04 tff(12870,plain,
% 8.37/6.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12871,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12872,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 8.37/6.04 tff(12873,plain,
% 8.37/6.04 (~m_main_v_state2(s158, c_n2)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12872, 77, 12869])).
% 8.37/6.04 tff(12874,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12875,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12876,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 8.37/6.04 tff(12877,plain,
% 8.37/6.04 (~node4(s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12876, 388, 12873])).
% 8.37/6.04 tff(12878,plain,
% 8.37/6.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12879,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12880,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 8.37/6.04 tff(12881,plain,
% 8.37/6.04 (~m_main_v_state2(s158, c_c2)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12880, 260, 12869])).
% 8.37/6.04 tff(12882,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12883,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12884,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 8.37/6.04 tff(12885,plain,
% 8.37/6.04 (~node3(s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12884, 399, 12881])).
% 8.37/6.04 tff(12886,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12887,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12888,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 8.37/6.04 tff(12889,plain,
% 8.37/6.04 (~node2(s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12888, 410, 12873])).
% 8.37/6.04 tff(12890,plain,
% 8.37/6.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12891,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12892,plain,
% 8.37/6.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 8.37/6.04 tff(12893,plain,
% 8.37/6.04 (~m_main_v_state1(s158, c_n1)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12892, 454, 12852])).
% 8.37/6.04 tff(12894,plain,
% 8.37/6.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12895,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12896,plain,
% 8.37/6.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158))),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 8.37/6.04 tff(12897,plain,
% 8.37/6.04 (~node1(s158)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12896, 421, 12893])).
% 8.37/6.04 tff(12898,plain,
% 8.37/6.04 (succ(s158, s159) <=> succ(s158, s159)),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12899,axiom,(succ(s158, s159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound159')).
% 8.37/6.04 tff(12900,plain,
% 8.37/6.04 (succ(s158, s159)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 8.37/6.04 tff(12901,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12902,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12903,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 8.37/6.04 tff(12904,plain,
% 8.37/6.04 (trans(s158, s159)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12903, 12900, 32])).
% 8.37/6.04 tff(12905,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12906,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12907,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159)),
% 8.37/6.04 inference(modus_ponens,[status(thm)],[12906, 12905])).
% 8.37/6.04 tff(12908,plain,
% 8.37/6.04 (node7(s158, s159)),
% 8.37/6.04 inference(unit_resolution,[status(thm)],[12907, 206, 12904])).
% 8.37/6.04 tff(12909,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12910,plain,
% 8.37/6.04 (((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1)) <=> (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 8.37/6.04 inference(rewrite,[status(thm)],[])).
% 8.37/6.04 tff(12911,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159))))),
% 8.37/6.04 inference(monotonicity,[status(thm)],[12910])).
% 8.37/6.04 tff(12912,plain,
% 8.37/6.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 8.37/6.04 inference(transitivity,[status(thm)],[12911, 12909])).
% 8.37/6.04 tff(12913,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))),
% 8.37/6.04 inference(quant_inst,[status(thm)],[])).
% 8.37/6.04 tff(12914,plain,
% 8.37/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 8.37/6.05 tff(12915,plain,
% 8.37/6.05 (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12914, 584, 12908])).
% 8.37/6.05 tff(12916,plain,
% 8.37/6.05 (m_main_v_state1(s159, c_n1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12915, 12897, 12852, 12889, 12885, 12877, 12860])).
% 8.37/6.05 tff(12917,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12918,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12919,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 8.37/6.05 tff(12920,plain,
% 8.37/6.05 (~node15(s157)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12919, 103, 12829])).
% 8.37/6.05 tff(12921,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12922,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12923,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 8.37/6.05 tff(12924,plain,
% 8.37/6.05 (node18(s157, s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12923, 125, 12840])).
% 8.37/6.05 tff(12925,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12926,plain,
% 8.37/6.05 (((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1)) <=> (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12927,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)))),
% 8.37/6.05 inference(monotonicity,[status(thm)],[12926])).
% 8.37/6.05 tff(12928,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 8.37/6.05 inference(transitivity,[status(thm)],[12927, 12925])).
% 8.37/6.05 tff(12929,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12930,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 8.37/6.05 tff(12931,plain,
% 8.37/6.05 (node15(s157) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12930, 992, 12924])).
% 8.37/6.05 tff(12932,plain,
% 8.37/6.05 (m_main_v_turn(s158, c_1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12931, 12920, 12757, 12825])).
% 8.37/6.05 tff(12933,plain,
% 8.37/6.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12934,plain,
% 8.37/6.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12935,plain,
% 8.37/6.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 8.37/6.05 tff(12936,plain,
% 8.37/6.05 (~m_main_v_turn(s158, c_2)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12935, 156, 12932])).
% 8.37/6.05 tff(12937,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12938,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12939,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 8.37/6.05 tff(12940,plain,
% 8.37/6.05 (~node12(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12939, 184, 12936])).
% 8.37/6.05 tff(12941,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12942,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12943,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 8.37/6.05 tff(12944,plain,
% 8.37/6.05 (~node8(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12943, 271, 12873])).
% 8.37/6.05 tff(12945,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12946,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12947,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 8.37/6.05 tff(12948,plain,
% 8.37/6.05 (~node9(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12947, 88, 12873])).
% 8.37/6.05 tff(12949,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12950,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12951,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 8.37/6.05 tff(12952,plain,
% 8.37/6.05 (~node10(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12951, 249, 12873])).
% 8.37/6.05 tff(12953,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12954,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12955,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 8.37/6.05 tff(12956,plain,
% 8.37/6.05 (~node11(s158)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12955, 238, 12893])).
% 8.37/6.05 tff(12957,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12958,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12959,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 8.37/6.05 tff(12960,plain,
% 8.37/6.05 (node14(s158, s159)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12959, 46, 12904])).
% 8.37/6.05 tff(12961,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12962,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12963,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 8.37/6.05 tff(12964,plain,
% 8.37/6.05 (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12963, 296, 12960])).
% 8.37/6.05 tff(12965,plain,
% 8.37/6.05 (node13(s158, s159)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12964, 12956, 12881, 12952, 12948, 12944, 12940])).
% 8.37/6.05 tff(12966,plain,
% 8.37/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12967,plain,
% 8.37/6.05 (((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2)) <=> ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12968,plain,
% 8.37/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))))),
% 8.37/6.05 inference(monotonicity,[status(thm)],[12967])).
% 8.37/6.05 tff(12969,plain,
% 8.37/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 8.37/6.05 inference(transitivity,[status(thm)],[12968, 12966])).
% 8.37/6.05 tff(12970,plain,
% 8.37/6.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12971,plain,
% 8.37/6.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12970, 12969])).
% 8.37/6.05 tff(12972,plain,
% 8.37/6.05 (m_main_v_state2(s159, c_t2)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12971, 518, 12869, 12965])).
% 8.37/6.05 tff(12973,plain,
% 8.37/6.05 (succ(s159, s160) <=> succ(s159, s160)),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12974,axiom,(succ(s159, s160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound160')).
% 8.37/6.05 tff(12975,plain,
% 8.37/6.05 (succ(s159, s160)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 8.37/6.05 tff(12976,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12977,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12978,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 8.37/6.05 tff(12979,plain,
% 8.37/6.05 (trans(s159, s160)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12978, 12975, 32])).
% 8.37/6.05 tff(12980,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12981,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12982,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 8.37/6.05 tff(12983,plain,
% 8.37/6.05 (node7(s159, s160)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12982, 206, 12979])).
% 8.37/6.05 tff(12984,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12985,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12986,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12985, 12984])).
% 8.37/6.05 tff(12987,plain,
% 8.37/6.05 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_state1(s160, c_t1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12986, 651, 12983])).
% 8.37/6.05 tff(12988,plain,
% 8.37/6.05 (m_main_v_state1(s160, c_t1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12987, 12972, 12916])).
% 8.37/6.05 tff(12989,plain,
% 8.37/6.05 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12990,plain,
% 8.37/6.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12991,plain,
% 8.37/6.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 8.37/6.05 tff(12992,plain,
% 8.37/6.05 (~m_main_v_state1(s160, c_n1)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12991, 10, 12988])).
% 8.37/6.05 tff(12993,plain,
% 8.37/6.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12994,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12995,plain,
% 8.37/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160))),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12994, 12993])).
% 8.37/6.05 tff(12996,plain,
% 8.37/6.05 (~node1(s160)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12995, 421, 12992])).
% 8.37/6.05 tff(12997,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160))),
% 8.37/6.05 inference(rewrite,[status(thm)],[])).
% 8.37/6.05 tff(12998,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))),
% 8.37/6.05 inference(quant_inst,[status(thm)],[])).
% 8.37/6.05 tff(12999,plain,
% 8.37/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160)),
% 8.37/6.05 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 8.37/6.05 tff(13000,plain,
% 8.37/6.05 (node18(s159, s160)),
% 8.37/6.05 inference(unit_resolution,[status(thm)],[12999, 125, 12979])).
% 8.37/6.05 tff(13001,plain,
% 8.37/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13002,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13003,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2)),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13002, 13001])).
% 8.42/6.05 tff(13004,plain,
% 8.42/6.05 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_turn(s160, c_2)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13003, 760, 13000])).
% 8.42/6.05 tff(13005,plain,
% 8.42/6.05 (m_main_v_turn(s160, c_2)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13004, 12972, 12916])).
% 8.42/6.05 tff(13006,plain,
% 8.42/6.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13007,plain,
% 8.42/6.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13008,plain,
% 8.42/6.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 8.42/6.05 tff(13009,plain,
% 8.42/6.05 (~m_main_v_turn(s160, c_1)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13008, 156, 13005])).
% 8.42/6.05 tff(13010,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13011,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13012,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 8.42/6.05 tff(13013,plain,
% 8.42/6.05 (~node5(s160)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13012, 776, 13009])).
% 8.42/6.05 tff(13014,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13015,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13016,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 8.42/6.05 tff(13017,plain,
% 8.42/6.05 (~node2(s160)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13016, 787, 12992])).
% 8.42/6.05 tff(13018,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13019,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13020,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 8.42/6.05 tff(13021,plain,
% 8.42/6.05 (~node3(s160)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13020, 798, 12992])).
% 8.42/6.05 tff(13022,plain,
% 8.42/6.05 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13023,plain,
% 8.42/6.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13024,plain,
% 8.42/6.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 8.42/6.05 tff(13025,plain,
% 8.42/6.05 (~m_main_v_state1(s160, c_c1)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13024, 539, 12988])).
% 8.42/6.05 tff(13026,plain,
% 8.42/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13027,plain,
% 8.42/6.05 (((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2))) <=> (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13028,plain,
% 8.42/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))))),
% 8.42/6.05 inference(monotonicity,[status(thm)],[13027])).
% 8.42/6.05 tff(13029,plain,
% 8.42/6.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 8.42/6.05 inference(transitivity,[status(thm)],[13028, 13026])).
% 8.42/6.05 tff(13030,plain,
% 8.42/6.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13031,plain,
% 8.42/6.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 8.42/6.05 tff(13032,plain,
% 8.42/6.05 (~m_main_v_state2(s159, c_n2)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13031, 311, 12873, 12965])).
% 8.42/6.05 tff(13033,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13034,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13035,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 8.42/6.05 tff(13036,plain,
% 8.42/6.05 (~node9(s159)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13035, 88, 13032])).
% 8.42/6.05 tff(13037,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13038,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13039,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13038, 13037])).
% 8.42/6.05 tff(13040,plain,
% 8.42/6.05 (~node10(s159)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13039, 249, 13032])).
% 8.42/6.05 tff(13041,plain,
% 8.42/6.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13042,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13043,plain,
% 8.42/6.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159))),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 8.42/6.05 tff(13044,plain,
% 8.42/6.05 (~node8(s159)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13043, 271, 13032])).
% 8.42/6.05 tff(13045,plain,
% 8.42/6.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13046,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13047,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160)),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 8.42/6.05 tff(13048,plain,
% 8.42/6.05 (node14(s159, s160)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13047, 46, 12979])).
% 8.42/6.05 tff(13049,plain,
% 8.42/6.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))),
% 8.42/6.05 inference(rewrite,[status(thm)],[])).
% 8.42/6.05 tff(13050,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))),
% 8.42/6.05 inference(quant_inst,[status(thm)],[])).
% 8.42/6.05 tff(13051,plain,
% 8.42/6.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2)),
% 8.42/6.05 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 8.42/6.05 tff(13052,plain,
% 8.42/6.05 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | m_main_v_state2(s160, c_c2)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13051, 617, 13048])).
% 8.42/6.05 tff(13053,plain,
% 8.42/6.05 (m_main_v_state2(s160, c_c2)),
% 8.42/6.05 inference(unit_resolution,[status(thm)],[13052, 13044, 12916, 12972, 13040, 13036])).
% 8.42/6.05 tff(13054,plain,
% 8.42/6.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13055,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13056,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 8.42/6.06 tff(13057,plain,
% 8.42/6.06 (~m_main_v_state2(s160, c_n2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13056, 697, 13053])).
% 8.42/6.06 tff(13058,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13059,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13060,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 8.42/6.06 tff(13061,plain,
% 8.42/6.06 (~node4(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13060, 388, 13057])).
% 8.42/6.06 tff(13062,plain,
% 8.42/6.06 (succ(s160, s161) <=> succ(s160, s161)),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13063,axiom,(succ(s160, s161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound161')).
% 8.42/6.06 tff(13064,plain,
% 8.42/6.06 (succ(s160, s161)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13063, 13062])).
% 8.42/6.06 tff(13065,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13066,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13067,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 8.42/6.06 tff(13068,plain,
% 8.42/6.06 (trans(s160, s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13067, 13064, 32])).
% 8.42/6.06 tff(13069,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13070,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13071,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 8.42/6.06 tff(13072,plain,
% 8.42/6.06 (node7(s160, s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13071, 206, 13068])).
% 8.42/6.06 tff(13073,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13074,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13075,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 8.42/6.06 tff(13076,plain,
% 8.42/6.06 (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13075, 820, 13072])).
% 8.42/6.06 tff(13077,plain,
% 8.42/6.06 (node6(s160, s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13076, 13061, 13025, 13021, 13017, 13013, 12996])).
% 8.42/6.06 tff(13078,plain,
% 8.42/6.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13079,plain,
% 8.42/6.06 (((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1)) <=> ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13080,plain,
% 8.42/6.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))))),
% 8.42/6.06 inference(monotonicity,[status(thm)],[13079])).
% 8.42/6.06 tff(13081,plain,
% 8.42/6.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 8.42/6.06 inference(transitivity,[status(thm)],[13080, 13078])).
% 8.42/6.06 tff(13082,plain,
% 8.42/6.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13083,plain,
% 8.42/6.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 8.42/6.06 tff(13084,plain,
% 8.42/6.06 (m_main_v_state1(s161, c_t1)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13083, 856, 12988, 13077])).
% 8.42/6.06 tff(13085,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13086,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13087,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 8.42/6.06 tff(13088,plain,
% 8.42/6.06 (~m_main_v_state2(s160, c_t2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13087, 260, 13053])).
% 8.42/6.06 tff(13089,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13090,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13091,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 8.42/6.06 tff(13092,plain,
% 8.42/6.06 (~node12(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13091, 633, 13088])).
% 8.42/6.06 tff(13093,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13094,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13095,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 8.42/6.06 tff(13096,plain,
% 8.42/6.06 (~node11(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13095, 238, 12992])).
% 8.42/6.06 tff(13097,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13098,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13099,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13098, 13097])).
% 8.42/6.06 tff(13100,plain,
% 8.42/6.06 (~node10(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13099, 675, 13025])).
% 8.42/6.06 tff(13101,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13102,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13103,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 8.42/6.06 tff(13104,plain,
% 8.42/6.06 (~node9(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13103, 686, 12992])).
% 8.42/6.06 tff(13105,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13106,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13107,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 8.42/6.06 tff(13108,plain,
% 8.42/6.06 (~node8(s160)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13107, 271, 13057])).
% 8.42/6.06 tff(13109,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13110,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13111,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 8.42/6.06 tff(13112,plain,
% 8.42/6.06 (node14(s160, s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13111, 46, 13068])).
% 8.42/6.06 tff(13113,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13114,plain,
% 8.42/6.06 (((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2)) <=> (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13115,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))))),
% 8.42/6.06 inference(monotonicity,[status(thm)],[13114])).
% 8.42/6.06 tff(13116,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 8.42/6.06 inference(transitivity,[status(thm)],[13115, 13113])).
% 8.42/6.06 tff(13117,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13118,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 8.42/6.06 tff(13119,plain,
% 8.42/6.06 (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~m_main_v_state2(s160, c_c2))),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13118, 726, 13112])).
% 8.42/6.06 tff(13120,plain,
% 8.42/6.06 (m_main_v_state2(s161, c_n2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13119, 13108, 13053, 13104, 13100, 13096, 13092])).
% 8.42/6.06 tff(13121,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13122,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13123,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 8.42/6.06 tff(13124,plain,
% 8.42/6.06 (~m_main_v_state2(s161, c_t2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13123, 77, 13120])).
% 8.42/6.06 tff(13125,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13126,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13127,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 8.42/6.06 tff(13128,plain,
% 8.42/6.06 (~node15(s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13127, 103, 13124])).
% 8.42/6.06 tff(13129,plain,
% 8.42/6.06 (succ(s161, s162) <=> succ(s161, s162)),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13130,axiom,(succ(s161, s162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound162')).
% 8.42/6.06 tff(13131,plain,
% 8.42/6.06 (succ(s161, s162)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 8.42/6.06 tff(13132,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13133,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13134,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 8.42/6.06 tff(13135,plain,
% 8.42/6.06 (trans(s161, s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13134, 13131, 32])).
% 8.42/6.06 tff(13136,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13137,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13138,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 8.42/6.06 tff(13139,plain,
% 8.42/6.06 (node18(s161, s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13138, 125, 13135])).
% 8.42/6.06 tff(13140,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13141,plain,
% 8.42/6.06 (((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1)) <=> (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13142,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)))),
% 8.42/6.06 inference(monotonicity,[status(thm)],[13141])).
% 8.42/6.06 tff(13143,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 8.42/6.06 inference(transitivity,[status(thm)],[13142, 13140])).
% 8.42/6.06 tff(13144,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13145,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 8.42/6.06 tff(13146,plain,
% 8.42/6.06 (node15(s161) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13145, 992, 13139])).
% 8.42/6.06 tff(13147,plain,
% 8.42/6.06 (m_main_v_turn(s162, c_1)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13146, 13128, 13120, 13084])).
% 8.42/6.06 tff(13148,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13149,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13150,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 8.42/6.06 tff(13151,plain,
% 8.42/6.06 (~m_main_v_turn(s162, c_2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13150, 156, 13147])).
% 8.42/6.06 tff(13152,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13153,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13154,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 8.42/6.06 tff(13155,plain,
% 8.42/6.06 (~node12(s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13154, 184, 13151])).
% 8.42/6.06 tff(13156,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13157,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13158,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 8.42/6.06 tff(13159,plain,
% 8.42/6.06 (node14(s161, s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13158, 46, 13135])).
% 8.42/6.06 tff(13160,plain,
% 8.42/6.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13161,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13162,plain,
% 8.42/6.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2)),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 8.42/6.06 tff(13163,plain,
% 8.42/6.06 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state2(s162, c_t2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13162, 922, 13159])).
% 8.42/6.06 tff(13164,plain,
% 8.42/6.06 (m_main_v_state2(s162, c_t2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13163, 13084, 13120])).
% 8.42/6.06 tff(13165,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13166,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13167,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 8.42/6.06 tff(13168,plain,
% 8.42/6.06 (~m_main_v_state2(s162, c_n2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13167, 77, 13164])).
% 8.42/6.06 tff(13169,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13170,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13171,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 8.42/6.06 tff(13172,plain,
% 8.42/6.06 (~node8(s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13171, 271, 13168])).
% 8.42/6.06 tff(13173,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13174,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13175,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13174, 13173])).
% 8.42/6.06 tff(13176,plain,
% 8.42/6.06 (~node9(s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13175, 88, 13168])).
% 8.42/6.06 tff(13177,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13178,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13179,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13178, 13177])).
% 8.42/6.06 tff(13180,plain,
% 8.42/6.06 (~node10(s162)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13179, 249, 13168])).
% 8.42/6.06 tff(13181,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13182,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13183,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13182, 13181])).
% 8.42/6.06 tff(13184,plain,
% 8.42/6.06 (~m_main_v_state2(s162, c_c2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13183, 260, 13164])).
% 8.42/6.06 tff(13185,plain,
% 8.42/6.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13186,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13187,plain,
% 8.42/6.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 8.42/6.06 tff(13188,plain,
% 8.42/6.06 (~m_main_v_state2(s161, c_c2)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13187, 697, 13120])).
% 8.42/6.06 tff(13189,plain,
% 8.42/6.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 8.42/6.06 inference(rewrite,[status(thm)],[])).
% 8.42/6.06 tff(13190,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 8.42/6.06 inference(quant_inst,[status(thm)],[])).
% 8.42/6.06 tff(13191,plain,
% 8.42/6.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161))),
% 8.42/6.06 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 8.42/6.06 tff(13192,plain,
% 8.42/6.06 (~node3(s161)),
% 8.42/6.06 inference(unit_resolution,[status(thm)],[13191, 399, 13188])).
% 8.42/6.06 tff(13193,plain,
% 8.42/6.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13194,plain,
% 8.42/6.07 (((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1))) <=> (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13195,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))))),
% 8.42/6.07 inference(monotonicity,[status(thm)],[13194])).
% 8.42/6.07 tff(13196,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 8.42/6.07 inference(transitivity,[status(thm)],[13195, 13193])).
% 8.42/6.07 tff(13197,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13198,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 8.42/6.07 tff(13199,plain,
% 8.42/6.07 (~m_main_v_state1(s161, c_n1)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13198, 835, 12992, 13077])).
% 8.42/6.07 tff(13200,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13201,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13202,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 8.42/6.07 tff(13203,plain,
% 8.42/6.07 (~node2(s161)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13202, 787, 13199])).
% 8.42/6.07 tff(13204,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13205,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13206,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 8.42/6.07 tff(13207,plain,
% 8.42/6.07 (~node1(s161)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13206, 195, 13124])).
% 8.42/6.07 tff(13208,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13209,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13210,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13209, 13208])).
% 8.42/6.07 tff(13211,plain,
% 8.42/6.07 (node7(s161, s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13210, 206, 13135])).
% 8.42/6.07 tff(13212,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13213,plain,
% 8.42/6.07 (((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1)) <=> ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13214,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162))))),
% 8.42/6.07 inference(monotonicity,[status(thm)],[13213])).
% 8.42/6.07 tff(13215,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 8.42/6.07 inference(transitivity,[status(thm)],[13214, 13212])).
% 8.42/6.07 tff(13216,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13217,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 8.42/6.07 tff(13218,plain,
% 8.42/6.07 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13217, 892, 13211])).
% 8.42/6.07 tff(13219,plain,
% 8.42/6.07 (m_main_v_state1(s162, c_c1)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13218, 13207, 13120, 13084, 13203, 13192])).
% 8.42/6.07 tff(13220,plain,
% 8.42/6.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13221,plain,
% 8.42/6.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13222,plain,
% 8.42/6.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13221, 13220])).
% 8.42/6.07 tff(13223,plain,
% 8.42/6.07 (~m_main_v_state1(s162, c_n1)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13222, 454, 13219])).
% 8.42/6.07 tff(13224,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13225,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13226,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 8.42/6.07 tff(13227,plain,
% 8.42/6.07 (~node11(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13226, 238, 13223])).
% 8.42/6.07 tff(13228,plain,
% 8.42/6.07 (succ(s162, s163) <=> succ(s162, s163)),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13229,axiom,(succ(s162, s163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound163')).
% 8.42/6.07 tff(13230,plain,
% 8.42/6.07 (succ(s162, s163)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13229, 13228])).
% 8.42/6.07 tff(13231,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13232,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13233,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 8.42/6.07 tff(13234,plain,
% 8.42/6.07 (trans(s162, s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13233, 13230, 32])).
% 8.42/6.07 tff(13235,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13236,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13237,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 8.42/6.07 tff(13238,plain,
% 8.42/6.07 (node14(s162, s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13237, 46, 13234])).
% 8.42/6.07 tff(13239,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13240,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13241,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 8.42/6.07 tff(13242,plain,
% 8.42/6.07 (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13241, 296, 13238])).
% 8.42/6.07 tff(13243,plain,
% 8.42/6.07 (node13(s162, s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13242, 13227, 13184, 13180, 13176, 13172, 13155])).
% 8.42/6.07 tff(13244,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13245,plain,
% 8.42/6.07 (((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2))) <=> (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13246,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))))),
% 8.42/6.07 inference(monotonicity,[status(thm)],[13245])).
% 8.42/6.07 tff(13247,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 8.42/6.07 inference(transitivity,[status(thm)],[13246, 13244])).
% 8.42/6.07 tff(13248,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13249,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 8.42/6.07 tff(13250,plain,
% 8.42/6.07 (~m_main_v_state2(s163, c_n2)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13249, 311, 13168, 13243])).
% 8.42/6.07 tff(13251,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13252,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13253,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 8.42/6.07 tff(13254,plain,
% 8.42/6.07 (~node9(s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13253, 88, 13250])).
% 8.42/6.07 tff(13255,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13256,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13257,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 8.42/6.07 tff(13258,plain,
% 8.42/6.07 (~node10(s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13257, 249, 13250])).
% 8.42/6.07 tff(13259,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13260,plain,
% 8.42/6.07 (((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2)) <=> ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13261,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))))),
% 8.42/6.07 inference(monotonicity,[status(thm)],[13260])).
% 8.42/6.07 tff(13262,plain,
% 8.42/6.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 8.42/6.07 inference(transitivity,[status(thm)],[13261, 13259])).
% 8.42/6.07 tff(13263,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13264,plain,
% 8.42/6.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 8.42/6.07 tff(13265,plain,
% 8.42/6.07 (m_main_v_state2(s163, c_t2)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13264, 518, 13164, 13243])).
% 8.42/6.07 tff(13266,plain,
% 8.42/6.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13267,plain,
% 8.42/6.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13268,plain,
% 8.42/6.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 8.42/6.07 tff(13269,plain,
% 8.42/6.07 (~m_main_v_state1(s162, c_t1)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13268, 539, 13219])).
% 8.42/6.07 tff(13270,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13271,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13272,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13271, 13270])).
% 8.42/6.07 tff(13273,plain,
% 8.42/6.07 (~node5(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13272, 550, 13269])).
% 8.42/6.07 tff(13274,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13275,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13276,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13275, 13274])).
% 8.42/6.07 tff(13277,plain,
% 8.42/6.07 (~node4(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13276, 388, 13168])).
% 8.42/6.07 tff(13278,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13279,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13280,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 8.42/6.07 tff(13281,plain,
% 8.42/6.07 (~node3(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13280, 399, 13184])).
% 8.42/6.07 tff(13282,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13283,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13284,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 8.42/6.07 tff(13285,plain,
% 8.42/6.07 (~node2(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13284, 410, 13168])).
% 8.42/6.07 tff(13286,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13287,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13288,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 8.42/6.07 tff(13289,plain,
% 8.42/6.07 (~node1(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13288, 421, 13223])).
% 8.42/6.07 tff(13290,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13291,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13292,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 8.42/6.07 tff(13293,plain,
% 8.42/6.07 (node7(s162, s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13292, 206, 13234])).
% 8.42/6.07 tff(13294,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13295,plain,
% 8.42/6.07 (((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1)) <=> (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13296,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))))),
% 8.42/6.07 inference(monotonicity,[status(thm)],[13295])).
% 8.42/6.07 tff(13297,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 8.42/6.07 inference(transitivity,[status(thm)],[13296, 13294])).
% 8.42/6.07 tff(13298,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13299,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 8.42/6.07 tff(13300,plain,
% 8.42/6.07 (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13299, 584, 13293])).
% 8.42/6.07 tff(13301,plain,
% 8.42/6.07 (m_main_v_state1(s163, c_n1)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13300, 13289, 13219, 13285, 13281, 13277, 13273])).
% 8.42/6.07 tff(13302,plain,
% 8.42/6.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13303,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13304,plain,
% 8.42/6.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163))),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13303, 13302])).
% 8.42/6.07 tff(13305,plain,
% 8.42/6.07 (~node8(s163)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13304, 271, 13250])).
% 8.42/6.07 tff(13306,plain,
% 8.42/6.07 (succ(s163, s164) <=> succ(s163, s164)),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13307,axiom,(succ(s163, s164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound164')).
% 8.42/6.07 tff(13308,plain,
% 8.42/6.07 (succ(s163, s164)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 8.42/6.07 tff(13309,plain,
% 8.42/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164))),
% 8.42/6.07 inference(rewrite,[status(thm)],[])).
% 8.42/6.07 tff(13310,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 8.42/6.07 inference(quant_inst,[status(thm)],[])).
% 8.42/6.07 tff(13311,plain,
% 8.42/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 8.42/6.07 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 8.42/6.07 tff(13312,plain,
% 8.42/6.07 (trans(s163, s164)),
% 8.42/6.07 inference(unit_resolution,[status(thm)],[13311, 13308, 32])).
% 8.42/6.07 tff(13313,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13314,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13315,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13314, 13313])).
% 8.42/6.08 tff(13316,plain,
% 8.42/6.08 (node14(s163, s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13315, 46, 13312])).
% 8.42/6.08 tff(13317,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13318,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13319,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 8.42/6.08 tff(13320,plain,
% 8.42/6.08 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | m_main_v_state2(s164, c_c2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13319, 617, 13316])).
% 8.42/6.08 tff(13321,plain,
% 8.42/6.08 (m_main_v_state2(s164, c_c2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13320, 13305, 13301, 13265, 13258, 13254])).
% 8.42/6.08 tff(13322,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13323,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13324,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 8.42/6.08 tff(13325,plain,
% 8.42/6.08 (~m_main_v_state2(s164, c_t2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13324, 260, 13321])).
% 8.42/6.08 tff(13326,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13327,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13328,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 8.42/6.08 tff(13329,plain,
% 8.42/6.08 (~node12(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13328, 633, 13325])).
% 8.42/6.08 tff(13330,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13331,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13332,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 8.42/6.08 tff(13333,plain,
% 8.42/6.08 (node7(s163, s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13332, 206, 13312])).
% 8.42/6.08 tff(13334,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13335,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13336,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 8.42/6.08 tff(13337,plain,
% 8.42/6.08 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_state1(s164, c_t1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13336, 651, 13333])).
% 8.42/6.08 tff(13338,plain,
% 8.42/6.08 (m_main_v_state1(s164, c_t1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13337, 13265, 13301])).
% 8.42/6.08 tff(13339,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13340,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13341,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 8.42/6.08 tff(13342,plain,
% 8.42/6.08 (~m_main_v_state1(s164, c_n1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13341, 10, 13338])).
% 8.42/6.08 tff(13343,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13344,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13345,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 8.42/6.08 tff(13346,plain,
% 8.42/6.08 (~node11(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13345, 238, 13342])).
% 8.42/6.08 tff(13347,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13348,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13349,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 8.42/6.08 tff(13350,plain,
% 8.42/6.08 (~m_main_v_state1(s164, c_c1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13349, 539, 13338])).
% 8.42/6.08 tff(13351,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13352,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13353,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 8.42/6.08 tff(13354,plain,
% 8.42/6.08 (~node10(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13353, 675, 13350])).
% 8.42/6.08 tff(13355,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13356,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13357,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 8.42/6.08 tff(13358,plain,
% 8.42/6.08 (~node9(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13357, 686, 13342])).
% 8.42/6.08 tff(13359,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13360,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13361,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13360, 13359])).
% 8.42/6.08 tff(13362,plain,
% 8.42/6.08 (~m_main_v_state2(s164, c_n2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13361, 697, 13321])).
% 8.42/6.08 tff(13363,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13364,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13365,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 8.42/6.08 tff(13366,plain,
% 8.42/6.08 (~node8(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13365, 271, 13362])).
% 8.42/6.08 tff(13367,plain,
% 8.42/6.08 (succ(s164, s165) <=> succ(s164, s165)),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13368,axiom,(succ(s164, s165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound165')).
% 8.42/6.08 tff(13369,plain,
% 8.42/6.08 (succ(s164, s165)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13368, 13367])).
% 8.42/6.08 tff(13370,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13371,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13372,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 8.42/6.08 tff(13373,plain,
% 8.42/6.08 (trans(s164, s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13372, 13369, 32])).
% 8.42/6.08 tff(13374,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13375,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13376,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 8.42/6.08 tff(13377,plain,
% 8.42/6.08 (node14(s164, s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13376, 46, 13373])).
% 8.42/6.08 tff(13378,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13379,plain,
% 8.42/6.08 (((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2)) <=> (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13380,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))))),
% 8.42/6.08 inference(monotonicity,[status(thm)],[13379])).
% 8.42/6.08 tff(13381,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 8.42/6.08 inference(transitivity,[status(thm)],[13380, 13378])).
% 8.42/6.08 tff(13382,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13383,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 8.42/6.08 tff(13384,plain,
% 8.42/6.08 (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~m_main_v_state2(s164, c_c2))),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13383, 726, 13377])).
% 8.42/6.08 tff(13385,plain,
% 8.42/6.08 (m_main_v_state2(s165, c_n2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13384, 13366, 13321, 13358, 13354, 13346, 13329])).
% 8.42/6.08 tff(13386,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13387,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13388,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13387, 13386])).
% 8.42/6.08 tff(13389,plain,
% 8.42/6.08 (~m_main_v_state2(s165, c_c2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13388, 697, 13385])).
% 8.42/6.08 tff(13390,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13391,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13392,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 8.42/6.08 tff(13393,plain,
% 8.42/6.08 (~node3(s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13392, 399, 13389])).
% 8.42/6.08 tff(13394,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13395,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13396,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 8.42/6.08 tff(13397,plain,
% 8.42/6.08 (~node1(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13396, 421, 13342])).
% 8.42/6.08 tff(13398,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13399,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13400,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 8.42/6.08 tff(13401,plain,
% 8.42/6.08 (node18(s163, s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13400, 125, 13312])).
% 8.42/6.08 tff(13402,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13403,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13404,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 8.42/6.08 tff(13405,plain,
% 8.42/6.08 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_turn(s164, c_2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13404, 760, 13401])).
% 8.42/6.08 tff(13406,plain,
% 8.42/6.08 (m_main_v_turn(s164, c_2)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13405, 13265, 13301])).
% 8.42/6.08 tff(13407,plain,
% 8.42/6.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13408,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13409,plain,
% 8.42/6.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 8.42/6.08 tff(13410,plain,
% 8.42/6.08 (~m_main_v_turn(s164, c_1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13409, 156, 13406])).
% 8.42/6.08 tff(13411,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13412,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13413,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13412, 13411])).
% 8.42/6.08 tff(13414,plain,
% 8.42/6.08 (~node5(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13413, 776, 13410])).
% 8.42/6.08 tff(13415,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13416,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13417,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 8.42/6.08 tff(13418,plain,
% 8.42/6.08 (~node2(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13417, 787, 13342])).
% 8.42/6.08 tff(13419,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13420,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13421,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 8.42/6.08 tff(13422,plain,
% 8.42/6.08 (~node3(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13421, 798, 13342])).
% 8.42/6.08 tff(13423,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13424,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13425,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 8.42/6.08 tff(13426,plain,
% 8.42/6.08 (~node4(s164)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13425, 388, 13362])).
% 8.42/6.08 tff(13427,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13428,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13429,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165)),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 8.42/6.08 tff(13430,plain,
% 8.42/6.08 (node7(s164, s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13429, 206, 13373])).
% 8.42/6.08 tff(13431,plain,
% 8.42/6.08 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13432,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13433,plain,
% 8.42/6.08 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 8.42/6.08 tff(13434,plain,
% 8.42/6.08 (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13433, 820, 13430])).
% 8.42/6.08 tff(13435,plain,
% 8.42/6.08 (node6(s164, s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13434, 13426, 13350, 13422, 13418, 13414, 13397])).
% 8.42/6.08 tff(13436,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13437,plain,
% 8.42/6.08 (((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1))) <=> (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13438,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))))),
% 8.42/6.08 inference(monotonicity,[status(thm)],[13437])).
% 8.42/6.08 tff(13439,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 8.42/6.08 inference(transitivity,[status(thm)],[13438, 13436])).
% 8.42/6.08 tff(13440,plain,
% 8.42/6.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13441,plain,
% 8.42/6.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 8.42/6.08 tff(13442,plain,
% 8.42/6.08 (~m_main_v_state1(s165, c_n1)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13441, 835, 13342, 13435])).
% 8.42/6.08 tff(13443,plain,
% 8.42/6.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13444,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 8.42/6.08 inference(quant_inst,[status(thm)],[])).
% 8.42/6.08 tff(13445,plain,
% 8.42/6.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165))),
% 8.42/6.08 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 8.42/6.08 tff(13446,plain,
% 8.42/6.08 (~node2(s165)),
% 8.42/6.08 inference(unit_resolution,[status(thm)],[13445, 787, 13442])).
% 8.42/6.08 tff(13447,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13448,plain,
% 8.42/6.08 (((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1)) <=> ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 8.42/6.08 inference(rewrite,[status(thm)],[])).
% 8.42/6.08 tff(13449,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))))),
% 8.42/6.08 inference(monotonicity,[status(thm)],[13448])).
% 8.42/6.08 tff(13450,plain,
% 8.42/6.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 8.42/6.09 inference(transitivity,[status(thm)],[13449, 13447])).
% 8.42/6.09 tff(13451,plain,
% 8.42/6.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13452,plain,
% 8.42/6.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13451, 13450])).
% 8.42/6.09 tff(13453,plain,
% 8.42/6.09 (m_main_v_state1(s165, c_t1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13452, 856, 13338, 13435])).
% 8.42/6.09 tff(13454,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13455,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13456,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 8.42/6.09 tff(13457,plain,
% 8.42/6.09 (~m_main_v_state2(s165, c_t2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13456, 77, 13385])).
% 8.42/6.09 tff(13458,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13459,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13460,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 8.42/6.09 tff(13461,plain,
% 8.42/6.09 (~node1(s165)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13460, 195, 13457])).
% 8.42/6.09 tff(13462,plain,
% 8.42/6.09 (succ(s165, s166) <=> succ(s165, s166)),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13463,axiom,(succ(s165, s166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound166')).
% 8.42/6.09 tff(13464,plain,
% 8.42/6.09 (succ(s165, s166)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 8.42/6.09 tff(13465,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13466,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13467,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 8.42/6.09 tff(13468,plain,
% 8.42/6.09 (trans(s165, s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13467, 13464, 32])).
% 8.42/6.09 tff(13469,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13470,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13471,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 8.42/6.09 tff(13472,plain,
% 8.42/6.09 (node7(s165, s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13471, 206, 13468])).
% 8.42/6.09 tff(13473,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13474,plain,
% 8.42/6.09 (((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1)) <=> ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13475,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166))))),
% 8.42/6.09 inference(monotonicity,[status(thm)],[13474])).
% 8.42/6.09 tff(13476,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 8.42/6.09 inference(transitivity,[status(thm)],[13475, 13473])).
% 8.42/6.09 tff(13477,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13478,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 8.42/6.09 tff(13479,plain,
% 8.42/6.09 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13478, 892, 13472])).
% 8.42/6.09 tff(13480,plain,
% 8.42/6.09 (m_main_v_state1(s166, c_c1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13479, 13461, 13385, 13453, 13446, 13393])).
% 8.42/6.09 tff(13481,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13482,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13483,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13482, 13481])).
% 8.42/6.09 tff(13484,plain,
% 8.42/6.09 (~m_main_v_state1(s166, c_t1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13483, 539, 13480])).
% 8.42/6.09 tff(13485,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13486,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13487,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 8.42/6.09 tff(13488,plain,
% 8.42/6.09 (~node5(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13487, 550, 13484])).
% 8.42/6.09 tff(13489,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13490,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13491,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 8.42/6.09 tff(13492,plain,
% 8.42/6.09 (node14(s165, s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13491, 46, 13468])).
% 8.42/6.09 tff(13493,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13494,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13495,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 8.42/6.09 tff(13496,plain,
% 8.42/6.09 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state2(s166, c_t2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13495, 922, 13492])).
% 8.42/6.09 tff(13497,plain,
% 8.42/6.09 (m_main_v_state2(s166, c_t2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13496, 13453, 13385])).
% 8.42/6.09 tff(13498,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13499,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13500,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 8.42/6.09 tff(13501,plain,
% 8.42/6.09 (~m_main_v_state2(s166, c_n2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13500, 77, 13497])).
% 8.42/6.09 tff(13502,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13503,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13504,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 8.42/6.09 tff(13505,plain,
% 8.42/6.09 (~node4(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13504, 388, 13501])).
% 8.42/6.09 tff(13506,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13507,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13508,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 8.42/6.09 tff(13509,plain,
% 8.42/6.09 (~m_main_v_state2(s166, c_c2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13508, 260, 13497])).
% 8.42/6.09 tff(13510,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13511,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13512,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 8.42/6.09 tff(13513,plain,
% 8.42/6.09 (~node3(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13512, 399, 13509])).
% 8.42/6.09 tff(13514,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13515,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13516,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 8.42/6.09 tff(13517,plain,
% 8.42/6.09 (~node2(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13516, 410, 13501])).
% 8.42/6.09 tff(13518,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13519,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13520,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 8.42/6.09 tff(13521,plain,
% 8.42/6.09 (~m_main_v_state1(s166, c_n1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13520, 454, 13480])).
% 8.42/6.09 tff(13522,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13523,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13524,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13523, 13522])).
% 8.42/6.09 tff(13525,plain,
% 8.42/6.09 (~node1(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13524, 421, 13521])).
% 8.42/6.09 tff(13526,plain,
% 8.42/6.09 (succ(s166, s167) <=> succ(s166, s167)),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13527,axiom,(succ(s166, s167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound167')).
% 8.42/6.09 tff(13528,plain,
% 8.42/6.09 (succ(s166, s167)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 8.42/6.09 tff(13529,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13530,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13531,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 8.42/6.09 tff(13532,plain,
% 8.42/6.09 (trans(s166, s167)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13531, 13528, 32])).
% 8.42/6.09 tff(13533,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13534,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13535,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 8.42/6.09 tff(13536,plain,
% 8.42/6.09 (node7(s166, s167)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13535, 206, 13532])).
% 8.42/6.09 tff(13537,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13538,plain,
% 8.42/6.09 (((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1)) <=> (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13539,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))))),
% 8.42/6.09 inference(monotonicity,[status(thm)],[13538])).
% 8.42/6.09 tff(13540,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 8.42/6.09 inference(transitivity,[status(thm)],[13539, 13537])).
% 8.42/6.09 tff(13541,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13542,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 8.42/6.09 tff(13543,plain,
% 8.42/6.09 (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13542, 584, 13536])).
% 8.42/6.09 tff(13544,plain,
% 8.42/6.09 (m_main_v_state1(s167, c_n1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13543, 13525, 13480, 13517, 13513, 13505, 13488])).
% 8.42/6.09 tff(13545,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13546,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13547,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 8.42/6.09 tff(13548,plain,
% 8.42/6.09 (~node15(s165)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13547, 103, 13457])).
% 8.42/6.09 tff(13549,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13550,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13551,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 8.42/6.09 tff(13552,plain,
% 8.42/6.09 (node18(s165, s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13551, 125, 13468])).
% 8.42/6.09 tff(13553,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13554,plain,
% 8.42/6.09 (((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1)) <=> (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13555,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)))),
% 8.42/6.09 inference(monotonicity,[status(thm)],[13554])).
% 8.42/6.09 tff(13556,plain,
% 8.42/6.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 8.42/6.09 inference(transitivity,[status(thm)],[13555, 13553])).
% 8.42/6.09 tff(13557,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13558,plain,
% 8.42/6.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13557, 13556])).
% 8.42/6.09 tff(13559,plain,
% 8.42/6.09 (node15(s165) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13558, 992, 13552])).
% 8.42/6.09 tff(13560,plain,
% 8.42/6.09 (m_main_v_turn(s166, c_1)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13559, 13548, 13385, 13453])).
% 8.42/6.09 tff(13561,plain,
% 8.42/6.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13562,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13563,plain,
% 8.42/6.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 8.42/6.09 tff(13564,plain,
% 8.42/6.09 (~m_main_v_turn(s166, c_2)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13563, 156, 13560])).
% 8.42/6.09 tff(13565,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13566,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13567,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 8.42/6.09 tff(13568,plain,
% 8.42/6.09 (~node12(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13567, 184, 13564])).
% 8.42/6.09 tff(13569,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13570,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13571,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 8.42/6.09 tff(13572,plain,
% 8.42/6.09 (~node8(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13571, 271, 13501])).
% 8.42/6.09 tff(13573,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13574,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13575,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 8.42/6.09 tff(13576,plain,
% 8.42/6.09 (~node9(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13575, 88, 13501])).
% 8.42/6.09 tff(13577,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.09 tff(13578,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 8.42/6.09 inference(quant_inst,[status(thm)],[])).
% 8.42/6.09 tff(13579,plain,
% 8.42/6.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166))),
% 8.42/6.09 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 8.42/6.09 tff(13580,plain,
% 8.42/6.09 (~node10(s166)),
% 8.42/6.09 inference(unit_resolution,[status(thm)],[13579, 249, 13501])).
% 8.42/6.09 tff(13581,plain,
% 8.42/6.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 8.42/6.09 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13582,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13583,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 8.42/6.10 tff(13584,plain,
% 8.42/6.10 (~node11(s166)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13583, 238, 13521])).
% 8.42/6.10 tff(13585,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13586,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13587,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 8.42/6.10 tff(13588,plain,
% 8.42/6.10 (node14(s166, s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13587, 46, 13532])).
% 8.42/6.10 tff(13589,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13590,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13591,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 8.42/6.10 tff(13592,plain,
% 8.42/6.10 (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13591, 296, 13588])).
% 8.42/6.10 tff(13593,plain,
% 8.42/6.10 (node13(s166, s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13592, 13584, 13509, 13580, 13576, 13572, 13568])).
% 8.42/6.10 tff(13594,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13595,plain,
% 8.42/6.10 (((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2)) <=> ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13596,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))))),
% 8.42/6.10 inference(monotonicity,[status(thm)],[13595])).
% 8.42/6.10 tff(13597,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 8.42/6.10 inference(transitivity,[status(thm)],[13596, 13594])).
% 8.42/6.10 tff(13598,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13599,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 8.42/6.10 tff(13600,plain,
% 8.42/6.10 (m_main_v_state2(s167, c_t2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13599, 518, 13497, 13593])).
% 8.42/6.10 tff(13601,plain,
% 8.42/6.10 (succ(s167, s168) <=> succ(s167, s168)),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13602,axiom,(succ(s167, s168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound168')).
% 8.42/6.10 tff(13603,plain,
% 8.42/6.10 (succ(s167, s168)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 8.42/6.10 tff(13604,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13605,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13606,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 8.42/6.10 tff(13607,plain,
% 8.42/6.10 (trans(s167, s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13606, 13603, 32])).
% 8.42/6.10 tff(13608,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13609,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13610,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 8.42/6.10 tff(13611,plain,
% 8.42/6.10 (node7(s167, s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13610, 206, 13607])).
% 8.42/6.10 tff(13612,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13613,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13614,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 8.42/6.10 tff(13615,plain,
% 8.42/6.10 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_state1(s168, c_t1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13614, 651, 13611])).
% 8.42/6.10 tff(13616,plain,
% 8.42/6.10 (m_main_v_state1(s168, c_t1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13615, 13600, 13544])).
% 8.42/6.10 tff(13617,plain,
% 8.42/6.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13618,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13619,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 8.42/6.10 tff(13620,plain,
% 8.42/6.10 (~m_main_v_state1(s168, c_n1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13619, 10, 13616])).
% 8.42/6.10 tff(13621,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13622,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13623,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 8.42/6.10 tff(13624,plain,
% 8.42/6.10 (~node1(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13623, 421, 13620])).
% 8.42/6.10 tff(13625,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13626,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13627,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13626, 13625])).
% 8.42/6.10 tff(13628,plain,
% 8.42/6.10 (node18(s167, s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13627, 125, 13607])).
% 8.42/6.10 tff(13629,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13630,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13631,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 8.42/6.10 tff(13632,plain,
% 8.42/6.10 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_turn(s168, c_2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13631, 760, 13628])).
% 8.42/6.10 tff(13633,plain,
% 8.42/6.10 (m_main_v_turn(s168, c_2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13632, 13600, 13544])).
% 8.42/6.10 tff(13634,plain,
% 8.42/6.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13635,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13636,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 8.42/6.10 tff(13637,plain,
% 8.42/6.10 (~m_main_v_turn(s168, c_1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13636, 156, 13633])).
% 8.42/6.10 tff(13638,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13639,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13640,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 8.42/6.10 tff(13641,plain,
% 8.42/6.10 (~node5(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13640, 776, 13637])).
% 8.42/6.10 tff(13642,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13643,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13644,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 8.42/6.10 tff(13645,plain,
% 8.42/6.10 (~node2(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13644, 787, 13620])).
% 8.42/6.10 tff(13646,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13647,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13648,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 8.42/6.10 tff(13649,plain,
% 8.42/6.10 (~node3(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13648, 798, 13620])).
% 8.42/6.10 tff(13650,plain,
% 8.42/6.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13651,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13652,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13651, 13650])).
% 8.42/6.10 tff(13653,plain,
% 8.42/6.10 (~m_main_v_state1(s168, c_c1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13652, 539, 13616])).
% 8.42/6.10 tff(13654,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13655,plain,
% 8.42/6.10 (((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2))) <=> (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13656,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))))),
% 8.42/6.10 inference(monotonicity,[status(thm)],[13655])).
% 8.42/6.10 tff(13657,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 8.42/6.10 inference(transitivity,[status(thm)],[13656, 13654])).
% 8.42/6.10 tff(13658,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13659,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 8.42/6.10 tff(13660,plain,
% 8.42/6.10 (~m_main_v_state2(s167, c_n2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13659, 311, 13501, 13593])).
% 8.42/6.10 tff(13661,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13662,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13663,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 8.42/6.10 tff(13664,plain,
% 8.42/6.10 (~node9(s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13663, 88, 13660])).
% 8.42/6.10 tff(13665,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13666,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13667,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 8.42/6.10 tff(13668,plain,
% 8.42/6.10 (~node10(s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13667, 249, 13660])).
% 8.42/6.10 tff(13669,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13670,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13671,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 8.42/6.10 tff(13672,plain,
% 8.42/6.10 (~node8(s167)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13671, 271, 13660])).
% 8.42/6.10 tff(13673,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13674,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13675,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13674, 13673])).
% 8.42/6.10 tff(13676,plain,
% 8.42/6.10 (node14(s167, s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13675, 46, 13607])).
% 8.42/6.10 tff(13677,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13678,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13679,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 8.42/6.10 tff(13680,plain,
% 8.42/6.10 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | m_main_v_state2(s168, c_c2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13679, 617, 13676])).
% 8.42/6.10 tff(13681,plain,
% 8.42/6.10 (m_main_v_state2(s168, c_c2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13680, 13672, 13544, 13600, 13668, 13664])).
% 8.42/6.10 tff(13682,plain,
% 8.42/6.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13683,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13684,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 8.42/6.10 tff(13685,plain,
% 8.42/6.10 (~m_main_v_state2(s168, c_n2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13684, 697, 13681])).
% 8.42/6.10 tff(13686,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13687,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13688,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 8.42/6.10 tff(13689,plain,
% 8.42/6.10 (~node4(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13688, 388, 13685])).
% 8.42/6.10 tff(13690,plain,
% 8.42/6.10 (succ(s168, s169) <=> succ(s168, s169)),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13691,axiom,(succ(s168, s169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound169')).
% 8.42/6.10 tff(13692,plain,
% 8.42/6.10 (succ(s168, s169)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13691, 13690])).
% 8.42/6.10 tff(13693,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13694,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13695,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 8.42/6.10 tff(13696,plain,
% 8.42/6.10 (trans(s168, s169)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13695, 13692, 32])).
% 8.42/6.10 tff(13697,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13698,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13699,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 8.42/6.10 tff(13700,plain,
% 8.42/6.10 (node7(s168, s169)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13699, 206, 13696])).
% 8.42/6.10 tff(13701,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13702,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13703,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 8.42/6.10 tff(13704,plain,
% 8.42/6.10 (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13703, 820, 13700])).
% 8.42/6.10 tff(13705,plain,
% 8.42/6.10 (node6(s168, s169)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13704, 13689, 13653, 13649, 13645, 13641, 13624])).
% 8.42/6.10 tff(13706,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13707,plain,
% 8.42/6.10 (((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1)) <=> ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13708,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))))),
% 8.42/6.10 inference(monotonicity,[status(thm)],[13707])).
% 8.42/6.10 tff(13709,plain,
% 8.42/6.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 8.42/6.10 inference(transitivity,[status(thm)],[13708, 13706])).
% 8.42/6.10 tff(13710,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13711,plain,
% 8.42/6.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 8.42/6.10 tff(13712,plain,
% 8.42/6.10 (m_main_v_state1(s169, c_t1)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13711, 856, 13616, 13705])).
% 8.42/6.10 tff(13713,plain,
% 8.42/6.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13714,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13715,plain,
% 8.42/6.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 8.42/6.10 tff(13716,plain,
% 8.42/6.10 (~m_main_v_state2(s168, c_t2)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13715, 260, 13681])).
% 8.42/6.10 tff(13717,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13718,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13719,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 8.42/6.10 tff(13720,plain,
% 8.42/6.10 (~node12(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13719, 633, 13716])).
% 8.42/6.10 tff(13721,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13722,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13723,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 8.42/6.10 tff(13724,plain,
% 8.42/6.10 (~node11(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13723, 238, 13620])).
% 8.42/6.10 tff(13725,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13726,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13727,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13726, 13725])).
% 8.42/6.10 tff(13728,plain,
% 8.42/6.10 (~node10(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13727, 675, 13653])).
% 8.42/6.10 tff(13729,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13730,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13731,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13730, 13729])).
% 8.42/6.10 tff(13732,plain,
% 8.42/6.10 (~node9(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13731, 686, 13620])).
% 8.42/6.10 tff(13733,plain,
% 8.42/6.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13734,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13735,plain,
% 8.42/6.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168))),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 8.42/6.10 tff(13736,plain,
% 8.42/6.10 (~node8(s168)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13735, 271, 13685])).
% 8.42/6.10 tff(13737,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13738,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))),
% 8.42/6.10 inference(quant_inst,[status(thm)],[])).
% 8.42/6.10 tff(13739,plain,
% 8.42/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169)),
% 8.42/6.10 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 8.42/6.10 tff(13740,plain,
% 8.42/6.10 (node14(s168, s169)),
% 8.42/6.10 inference(unit_resolution,[status(thm)],[13739, 46, 13696])).
% 8.42/6.10 tff(13741,plain,
% 8.42/6.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.10 inference(rewrite,[status(thm)],[])).
% 8.42/6.10 tff(13742,plain,
% 8.42/6.10 (((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2)) <=> (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13743,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))))),
% 8.42/6.11 inference(monotonicity,[status(thm)],[13742])).
% 8.42/6.11 tff(13744,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 8.42/6.11 inference(transitivity,[status(thm)],[13743, 13741])).
% 8.42/6.11 tff(13745,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13746,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 8.42/6.11 tff(13747,plain,
% 8.42/6.11 (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~m_main_v_state2(s168, c_c2))),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13746, 726, 13740])).
% 8.42/6.11 tff(13748,plain,
% 8.42/6.11 (m_main_v_state2(s169, c_n2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13747, 13736, 13681, 13732, 13728, 13724, 13720])).
% 8.42/6.11 tff(13749,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13750,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13751,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 8.42/6.11 tff(13752,plain,
% 8.42/6.11 (~m_main_v_state2(s169, c_t2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13751, 77, 13748])).
% 8.42/6.11 tff(13753,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13754,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13755,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 8.42/6.11 tff(13756,plain,
% 8.42/6.11 (~node15(s169)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13755, 103, 13752])).
% 8.42/6.11 tff(13757,plain,
% 8.42/6.11 (succ(s169, s170) <=> succ(s169, s170)),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13758,axiom,(succ(s169, s170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound170')).
% 8.42/6.11 tff(13759,plain,
% 8.42/6.11 (succ(s169, s170)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 8.42/6.11 tff(13760,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13761,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13762,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 8.42/6.11 tff(13763,plain,
% 8.42/6.11 (trans(s169, s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13762, 13759, 32])).
% 8.42/6.11 tff(13764,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13765,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13766,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 8.42/6.11 tff(13767,plain,
% 8.42/6.11 (node18(s169, s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13766, 125, 13763])).
% 8.42/6.11 tff(13768,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13769,plain,
% 8.42/6.11 (((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1)) <=> (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13770,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)))),
% 8.42/6.11 inference(monotonicity,[status(thm)],[13769])).
% 8.42/6.11 tff(13771,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 8.42/6.11 inference(transitivity,[status(thm)],[13770, 13768])).
% 8.42/6.11 tff(13772,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13773,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13772, 13771])).
% 8.42/6.11 tff(13774,plain,
% 8.42/6.11 (node15(s169) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13773, 992, 13767])).
% 8.42/6.11 tff(13775,plain,
% 8.42/6.11 (m_main_v_turn(s170, c_1)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13774, 13756, 13748, 13712])).
% 8.42/6.11 tff(13776,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13777,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13778,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 8.42/6.11 tff(13779,plain,
% 8.42/6.11 (~m_main_v_turn(s170, c_2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13778, 156, 13775])).
% 8.42/6.11 tff(13780,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13781,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13782,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 8.42/6.11 tff(13783,plain,
% 8.42/6.11 (~node12(s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13782, 184, 13779])).
% 8.42/6.11 tff(13784,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13785,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13786,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 8.42/6.11 tff(13787,plain,
% 8.42/6.11 (node14(s169, s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13786, 46, 13763])).
% 8.42/6.11 tff(13788,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13789,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13790,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13789, 13788])).
% 8.42/6.11 tff(13791,plain,
% 8.42/6.11 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state2(s170, c_t2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13790, 922, 13787])).
% 8.42/6.11 tff(13792,plain,
% 8.42/6.11 (m_main_v_state2(s170, c_t2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13791, 13712, 13748])).
% 8.42/6.11 tff(13793,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13794,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13795,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13794, 13793])).
% 8.42/6.11 tff(13796,plain,
% 8.42/6.11 (~m_main_v_state2(s170, c_n2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13795, 77, 13792])).
% 8.42/6.11 tff(13797,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13798,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13799,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 8.42/6.11 tff(13800,plain,
% 8.42/6.11 (~node8(s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13799, 271, 13796])).
% 8.42/6.11 tff(13801,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13802,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13803,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 8.42/6.11 tff(13804,plain,
% 8.42/6.11 (~node9(s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13803, 88, 13796])).
% 8.42/6.11 tff(13805,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13806,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13807,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 8.42/6.11 tff(13808,plain,
% 8.42/6.11 (~node10(s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13807, 249, 13796])).
% 8.42/6.11 tff(13809,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13810,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13811,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 8.42/6.11 tff(13812,plain,
% 8.42/6.11 (~m_main_v_state2(s170, c_c2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13811, 260, 13792])).
% 8.42/6.11 tff(13813,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13814,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13815,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 8.42/6.11 tff(13816,plain,
% 8.42/6.11 (~m_main_v_state2(s169, c_c2)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13815, 697, 13748])).
% 8.42/6.11 tff(13817,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13818,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13819,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 8.42/6.11 tff(13820,plain,
% 8.42/6.11 (~node3(s169)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13819, 399, 13816])).
% 8.42/6.11 tff(13821,plain,
% 8.42/6.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13822,plain,
% 8.42/6.11 (((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1))) <=> (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13823,plain,
% 8.42/6.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))))),
% 8.42/6.11 inference(monotonicity,[status(thm)],[13822])).
% 8.42/6.11 tff(13824,plain,
% 8.42/6.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 8.42/6.11 inference(transitivity,[status(thm)],[13823, 13821])).
% 8.42/6.11 tff(13825,plain,
% 8.42/6.11 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13826,plain,
% 8.42/6.11 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 8.42/6.11 tff(13827,plain,
% 8.42/6.11 (~m_main_v_state1(s169, c_n1)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13826, 835, 13620, 13705])).
% 8.42/6.11 tff(13828,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13829,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13830,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 8.42/6.11 tff(13831,plain,
% 8.42/6.11 (~node2(s169)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13830, 787, 13827])).
% 8.42/6.11 tff(13832,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13833,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13834,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 8.42/6.11 tff(13835,plain,
% 8.42/6.11 (~node1(s169)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13834, 195, 13752])).
% 8.42/6.11 tff(13836,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13837,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13838,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 8.42/6.11 tff(13839,plain,
% 8.42/6.11 (node7(s169, s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13838, 206, 13763])).
% 8.42/6.11 tff(13840,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13841,plain,
% 8.42/6.11 (((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1)) <=> ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13842,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170))))),
% 8.42/6.11 inference(monotonicity,[status(thm)],[13841])).
% 8.42/6.11 tff(13843,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 8.42/6.11 inference(transitivity,[status(thm)],[13842, 13840])).
% 8.42/6.11 tff(13844,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13845,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 8.42/6.11 tff(13846,plain,
% 8.42/6.11 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13845, 892, 13839])).
% 8.42/6.11 tff(13847,plain,
% 8.42/6.11 (m_main_v_state1(s170, c_c1)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13846, 13835, 13748, 13712, 13831, 13820])).
% 8.42/6.11 tff(13848,plain,
% 8.42/6.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13849,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13850,plain,
% 8.42/6.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 8.42/6.11 tff(13851,plain,
% 8.42/6.11 (~m_main_v_state1(s170, c_n1)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13850, 454, 13847])).
% 8.42/6.11 tff(13852,plain,
% 8.42/6.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13853,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13854,plain,
% 8.42/6.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 8.42/6.11 tff(13855,plain,
% 8.42/6.11 (~node11(s170)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13854, 238, 13851])).
% 8.42/6.11 tff(13856,plain,
% 8.42/6.11 (succ(s170, s171) <=> succ(s170, s171)),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13857,axiom,(succ(s170, s171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound171')).
% 8.42/6.11 tff(13858,plain,
% 8.42/6.11 (succ(s170, s171)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 8.42/6.11 tff(13859,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13860,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13861,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 8.42/6.11 tff(13862,plain,
% 8.42/6.11 (trans(s170, s171)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13861, 13858, 32])).
% 8.42/6.11 tff(13863,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13864,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13865,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171)),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 8.42/6.11 tff(13866,plain,
% 8.42/6.11 (node14(s170, s171)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13865, 46, 13862])).
% 8.42/6.11 tff(13867,plain,
% 8.42/6.11 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 8.42/6.11 inference(rewrite,[status(thm)],[])).
% 8.42/6.11 tff(13868,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 8.42/6.11 inference(quant_inst,[status(thm)],[])).
% 8.42/6.11 tff(13869,plain,
% 8.42/6.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171))),
% 8.42/6.11 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 8.42/6.11 tff(13870,plain,
% 8.42/6.11 (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13869, 296, 13866])).
% 8.42/6.11 tff(13871,plain,
% 8.42/6.11 (node13(s170, s171)),
% 8.42/6.11 inference(unit_resolution,[status(thm)],[13870, 13855, 13812, 13808, 13804, 13800, 13783])).
% 8.42/6.11 tff(13872,plain,
% 8.42/6.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13873,plain,
% 8.42/6.12 (((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2))) <=> (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13874,plain,
% 8.42/6.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))))),
% 8.42/6.12 inference(monotonicity,[status(thm)],[13873])).
% 8.42/6.12 tff(13875,plain,
% 8.42/6.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 8.42/6.12 inference(transitivity,[status(thm)],[13874, 13872])).
% 8.42/6.12 tff(13876,plain,
% 8.42/6.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13877,plain,
% 8.42/6.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 8.42/6.12 tff(13878,plain,
% 8.42/6.12 (~m_main_v_state2(s171, c_n2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13877, 311, 13796, 13871])).
% 8.42/6.12 tff(13879,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13880,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13881,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 8.42/6.12 tff(13882,plain,
% 8.42/6.12 (~node9(s171)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13881, 88, 13878])).
% 8.42/6.12 tff(13883,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13884,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13885,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 8.42/6.12 tff(13886,plain,
% 8.42/6.12 (~node10(s171)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13885, 249, 13878])).
% 8.42/6.12 tff(13887,plain,
% 8.42/6.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13888,plain,
% 8.42/6.12 (((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2)) <=> ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13889,plain,
% 8.42/6.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))))),
% 8.42/6.12 inference(monotonicity,[status(thm)],[13888])).
% 8.42/6.12 tff(13890,plain,
% 8.42/6.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 8.42/6.12 inference(transitivity,[status(thm)],[13889, 13887])).
% 8.42/6.12 tff(13891,plain,
% 8.42/6.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13892,plain,
% 8.42/6.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 8.42/6.12 tff(13893,plain,
% 8.42/6.12 (m_main_v_state2(s171, c_t2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13892, 518, 13792, 13871])).
% 8.42/6.12 tff(13894,plain,
% 8.42/6.12 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13895,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13896,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 8.42/6.12 tff(13897,plain,
% 8.42/6.12 (~m_main_v_state1(s170, c_t1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13896, 539, 13847])).
% 8.42/6.12 tff(13898,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13899,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13900,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13899, 13898])).
% 8.42/6.12 tff(13901,plain,
% 8.42/6.12 (~node5(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13900, 550, 13897])).
% 8.42/6.12 tff(13902,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13903,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13904,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 8.42/6.12 tff(13905,plain,
% 8.42/6.12 (~node4(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13904, 388, 13796])).
% 8.42/6.12 tff(13906,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13907,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13908,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 8.42/6.12 tff(13909,plain,
% 8.42/6.12 (~node3(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13908, 399, 13812])).
% 8.42/6.12 tff(13910,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13911,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13912,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 8.42/6.12 tff(13913,plain,
% 8.42/6.12 (~node2(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13912, 410, 13796])).
% 8.42/6.12 tff(13914,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13915,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13916,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 8.42/6.12 tff(13917,plain,
% 8.42/6.12 (~node1(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13916, 421, 13851])).
% 8.42/6.12 tff(13918,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13919,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13920,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 8.42/6.12 tff(13921,plain,
% 8.42/6.12 (node7(s170, s171)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13920, 206, 13862])).
% 8.42/6.12 tff(13922,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13923,plain,
% 8.42/6.12 (((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1)) <=> (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13924,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))))),
% 8.42/6.12 inference(monotonicity,[status(thm)],[13923])).
% 8.42/6.12 tff(13925,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 8.42/6.12 inference(transitivity,[status(thm)],[13924, 13922])).
% 8.42/6.12 tff(13926,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13927,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13926, 13925])).
% 8.42/6.12 tff(13928,plain,
% 8.42/6.12 (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13927, 584, 13921])).
% 8.42/6.12 tff(13929,plain,
% 8.42/6.12 (m_main_v_state1(s171, c_n1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13928, 13917, 13847, 13913, 13909, 13905, 13901])).
% 8.42/6.12 tff(13930,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13931,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13932,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 8.42/6.12 tff(13933,plain,
% 8.42/6.12 (~node8(s171)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13932, 271, 13878])).
% 8.42/6.12 tff(13934,plain,
% 8.42/6.12 (succ(s171, s172) <=> succ(s171, s172)),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13935,axiom,(succ(s171, s172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound172')).
% 8.42/6.12 tff(13936,plain,
% 8.42/6.12 (succ(s171, s172)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 8.42/6.12 tff(13937,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13938,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13939,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 8.42/6.12 tff(13940,plain,
% 8.42/6.12 (trans(s171, s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13939, 13936, 32])).
% 8.42/6.12 tff(13941,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13942,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13943,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 8.42/6.12 tff(13944,plain,
% 8.42/6.12 (node14(s171, s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13943, 46, 13940])).
% 8.42/6.12 tff(13945,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13946,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13947,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13946, 13945])).
% 8.42/6.12 tff(13948,plain,
% 8.42/6.12 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | m_main_v_state2(s172, c_c2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13947, 617, 13944])).
% 8.42/6.12 tff(13949,plain,
% 8.42/6.12 (m_main_v_state2(s172, c_c2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13948, 13933, 13929, 13893, 13886, 13882])).
% 8.42/6.12 tff(13950,plain,
% 8.42/6.12 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13951,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13952,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 8.42/6.12 tff(13953,plain,
% 8.42/6.12 (~m_main_v_state2(s172, c_t2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13952, 260, 13949])).
% 8.42/6.12 tff(13954,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13955,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13956,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 8.42/6.12 tff(13957,plain,
% 8.42/6.12 (~node12(s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13956, 633, 13953])).
% 8.42/6.12 tff(13958,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13959,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13960,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 8.42/6.12 tff(13961,plain,
% 8.42/6.12 (node7(s171, s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13960, 206, 13940])).
% 8.42/6.12 tff(13962,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13963,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13964,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 8.42/6.12 tff(13965,plain,
% 8.42/6.12 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_state1(s172, c_t1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13964, 651, 13961])).
% 8.42/6.12 tff(13966,plain,
% 8.42/6.12 (m_main_v_state1(s172, c_t1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13965, 13893, 13929])).
% 8.42/6.12 tff(13967,plain,
% 8.42/6.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13968,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13969,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 8.42/6.12 tff(13970,plain,
% 8.42/6.12 (~m_main_v_state1(s172, c_n1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13969, 10, 13966])).
% 8.42/6.12 tff(13971,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13972,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13973,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 8.42/6.12 tff(13974,plain,
% 8.42/6.12 (~node11(s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13973, 238, 13970])).
% 8.42/6.12 tff(13975,plain,
% 8.42/6.12 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13976,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13977,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 8.42/6.12 tff(13978,plain,
% 8.42/6.12 (~m_main_v_state1(s172, c_c1)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13977, 539, 13966])).
% 8.42/6.12 tff(13979,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13980,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13981,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 8.42/6.12 tff(13982,plain,
% 8.42/6.12 (~node10(s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13981, 675, 13978])).
% 8.42/6.12 tff(13983,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13984,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13985,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 8.42/6.12 tff(13986,plain,
% 8.42/6.12 (~node9(s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13985, 686, 13970])).
% 8.42/6.12 tff(13987,plain,
% 8.42/6.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13988,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13989,plain,
% 8.42/6.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 8.42/6.12 tff(13990,plain,
% 8.42/6.12 (~m_main_v_state2(s172, c_n2)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13989, 697, 13949])).
% 8.42/6.12 tff(13991,plain,
% 8.42/6.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13992,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(13993,plain,
% 8.42/6.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172))),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13992, 13991])).
% 8.42/6.12 tff(13994,plain,
% 8.42/6.12 (~node8(s172)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[13993, 271, 13990])).
% 8.42/6.12 tff(13995,plain,
% 8.42/6.12 (succ(s172, s173) <=> succ(s172, s173)),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13996,axiom,(succ(s172, s173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound173')).
% 8.42/6.12 tff(13997,plain,
% 8.42/6.12 (succ(s172, s173)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 8.42/6.12 tff(13998,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(13999,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(14000,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 8.42/6.12 tff(14001,plain,
% 8.42/6.12 (trans(s172, s173)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[14000, 13997, 32])).
% 8.42/6.12 tff(14002,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(14003,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))),
% 8.42/6.12 inference(quant_inst,[status(thm)],[])).
% 8.42/6.12 tff(14004,plain,
% 8.42/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173)),
% 8.42/6.12 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 8.42/6.12 tff(14005,plain,
% 8.42/6.12 (node14(s172, s173)),
% 8.42/6.12 inference(unit_resolution,[status(thm)],[14004, 46, 14001])).
% 8.42/6.12 tff(14006,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(14007,plain,
% 8.42/6.12 (((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2)) <=> (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.12 inference(rewrite,[status(thm)],[])).
% 8.42/6.12 tff(14008,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))))),
% 8.42/6.12 inference(monotonicity,[status(thm)],[14007])).
% 8.42/6.12 tff(14009,plain,
% 8.42/6.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 8.42/6.13 inference(transitivity,[status(thm)],[14008, 14006])).
% 8.42/6.13 tff(14010,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14011,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 8.42/6.13 tff(14012,plain,
% 8.42/6.13 (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~m_main_v_state2(s172, c_c2))),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14011, 726, 14005])).
% 8.42/6.13 tff(14013,plain,
% 8.42/6.13 (m_main_v_state2(s173, c_n2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14012, 13994, 13949, 13986, 13982, 13974, 13957])).
% 8.42/6.13 tff(14014,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14015,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14016,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 8.42/6.13 tff(14017,plain,
% 8.42/6.13 (~m_main_v_state2(s173, c_c2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14016, 697, 14013])).
% 8.42/6.13 tff(14018,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14019,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14020,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 8.42/6.13 tff(14021,plain,
% 8.42/6.13 (~node3(s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14020, 399, 14017])).
% 8.42/6.13 tff(14022,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14023,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14024,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 8.42/6.13 tff(14025,plain,
% 8.42/6.13 (~node1(s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14024, 421, 13970])).
% 8.42/6.13 tff(14026,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14027,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14028,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 8.42/6.13 tff(14029,plain,
% 8.42/6.13 (node18(s171, s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14028, 125, 13940])).
% 8.42/6.13 tff(14030,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14031,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14032,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 8.42/6.13 tff(14033,plain,
% 8.42/6.13 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_turn(s172, c_2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14032, 760, 14029])).
% 8.42/6.13 tff(14034,plain,
% 8.42/6.13 (m_main_v_turn(s172, c_2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14033, 13893, 13929])).
% 8.42/6.13 tff(14035,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14036,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14037,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14036, 14035])).
% 8.42/6.13 tff(14038,plain,
% 8.42/6.13 (~m_main_v_turn(s172, c_1)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14037, 156, 14034])).
% 8.42/6.13 tff(14039,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14040,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14041,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 8.42/6.13 tff(14042,plain,
% 8.42/6.13 (~node5(s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14041, 776, 14038])).
% 8.42/6.13 tff(14043,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14044,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14045,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14044, 14043])).
% 8.42/6.13 tff(14046,plain,
% 8.42/6.13 (~node2(s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14045, 787, 13970])).
% 8.42/6.13 tff(14047,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14048,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14049,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14048, 14047])).
% 8.42/6.13 tff(14050,plain,
% 8.42/6.13 (~node3(s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14049, 798, 13970])).
% 8.42/6.13 tff(14051,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14052,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14053,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 8.42/6.13 tff(14054,plain,
% 8.42/6.13 (~node4(s172)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14053, 388, 13990])).
% 8.42/6.13 tff(14055,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14056,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14057,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14056, 14055])).
% 8.42/6.13 tff(14058,plain,
% 8.42/6.13 (node7(s172, s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14057, 206, 14001])).
% 8.42/6.13 tff(14059,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14060,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14061,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14060, 14059])).
% 8.42/6.13 tff(14062,plain,
% 8.42/6.13 (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14061, 820, 14058])).
% 8.42/6.13 tff(14063,plain,
% 8.42/6.13 (node6(s172, s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14062, 14054, 13978, 14050, 14046, 14042, 14025])).
% 8.42/6.13 tff(14064,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14065,plain,
% 8.42/6.13 (((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1))) <=> (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14066,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))))),
% 8.42/6.13 inference(monotonicity,[status(thm)],[14065])).
% 8.42/6.13 tff(14067,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 8.42/6.13 inference(transitivity,[status(thm)],[14066, 14064])).
% 8.42/6.13 tff(14068,plain,
% 8.42/6.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14069,plain,
% 8.42/6.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 8.42/6.13 tff(14070,plain,
% 8.42/6.13 (~m_main_v_state1(s173, c_n1)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14069, 835, 13970, 14063])).
% 8.42/6.13 tff(14071,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14072,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14073,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 8.42/6.13 tff(14074,plain,
% 8.42/6.13 (~node2(s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14073, 787, 14070])).
% 8.42/6.13 tff(14075,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14076,plain,
% 8.42/6.13 (((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1)) <=> ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14077,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))))),
% 8.42/6.13 inference(monotonicity,[status(thm)],[14076])).
% 8.42/6.13 tff(14078,plain,
% 8.42/6.13 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 8.42/6.13 inference(transitivity,[status(thm)],[14077, 14075])).
% 8.42/6.13 tff(14079,plain,
% 8.42/6.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14080,plain,
% 8.42/6.13 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 8.42/6.13 tff(14081,plain,
% 8.42/6.13 (m_main_v_state1(s173, c_t1)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14080, 856, 13966, 14063])).
% 8.42/6.13 tff(14082,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14083,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14084,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 8.42/6.13 tff(14085,plain,
% 8.42/6.13 (~m_main_v_state2(s173, c_t2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14084, 77, 14013])).
% 8.42/6.13 tff(14086,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14087,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14088,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 8.42/6.13 tff(14089,plain,
% 8.42/6.13 (~node1(s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14088, 195, 14085])).
% 8.42/6.13 tff(14090,plain,
% 8.42/6.13 (succ(s173, s174) <=> succ(s173, s174)),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14091,axiom,(succ(s173, s174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound174')).
% 8.42/6.13 tff(14092,plain,
% 8.42/6.13 (succ(s173, s174)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 8.42/6.13 tff(14093,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14094,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14095,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 8.42/6.13 tff(14096,plain,
% 8.42/6.13 (trans(s173, s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14095, 14092, 32])).
% 8.42/6.13 tff(14097,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14098,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14099,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 8.42/6.13 tff(14100,plain,
% 8.42/6.13 (node7(s173, s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14099, 206, 14096])).
% 8.42/6.13 tff(14101,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14102,plain,
% 8.42/6.13 (((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1)) <=> ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14103,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174))))),
% 8.42/6.13 inference(monotonicity,[status(thm)],[14102])).
% 8.42/6.13 tff(14104,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 8.42/6.13 inference(transitivity,[status(thm)],[14103, 14101])).
% 8.42/6.13 tff(14105,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14106,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14105, 14104])).
% 8.42/6.13 tff(14107,plain,
% 8.42/6.13 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14106, 892, 14100])).
% 8.42/6.13 tff(14108,plain,
% 8.42/6.13 (m_main_v_state1(s174, c_c1)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14107, 14089, 14013, 14081, 14074, 14021])).
% 8.42/6.13 tff(14109,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14110,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14111,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 8.42/6.13 tff(14112,plain,
% 8.42/6.13 (~m_main_v_state1(s174, c_t1)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14111, 539, 14108])).
% 8.42/6.13 tff(14113,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14114,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14115,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14114, 14113])).
% 8.42/6.13 tff(14116,plain,
% 8.42/6.13 (~node5(s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14115, 550, 14112])).
% 8.42/6.13 tff(14117,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14118,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14119,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 8.42/6.13 tff(14120,plain,
% 8.42/6.13 (node14(s173, s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14119, 46, 14096])).
% 8.42/6.13 tff(14121,plain,
% 8.42/6.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14122,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14123,plain,
% 8.42/6.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2)),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 8.42/6.13 tff(14124,plain,
% 8.42/6.13 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state2(s174, c_t2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14123, 922, 14120])).
% 8.42/6.13 tff(14125,plain,
% 8.42/6.13 (m_main_v_state2(s174, c_t2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14124, 14081, 14013])).
% 8.42/6.13 tff(14126,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14127,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14128,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 8.42/6.13 tff(14129,plain,
% 8.42/6.13 (~m_main_v_state2(s174, c_n2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14128, 77, 14125])).
% 8.42/6.13 tff(14130,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14131,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14132,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14131, 14130])).
% 8.42/6.13 tff(14133,plain,
% 8.42/6.13 (~node4(s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14132, 388, 14129])).
% 8.42/6.13 tff(14134,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14135,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14136,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 8.42/6.13 tff(14137,plain,
% 8.42/6.13 (~m_main_v_state2(s174, c_c2)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14136, 260, 14125])).
% 8.42/6.13 tff(14138,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14139,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14140,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 8.42/6.13 tff(14141,plain,
% 8.42/6.13 (~node3(s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14140, 399, 14137])).
% 8.42/6.13 tff(14142,plain,
% 8.42/6.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14143,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 8.42/6.13 inference(quant_inst,[status(thm)],[])).
% 8.42/6.13 tff(14144,plain,
% 8.42/6.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174))),
% 8.42/6.13 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 8.42/6.13 tff(14145,plain,
% 8.42/6.13 (~node2(s174)),
% 8.42/6.13 inference(unit_resolution,[status(thm)],[14144, 410, 14129])).
% 8.42/6.13 tff(14146,plain,
% 8.42/6.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))),
% 8.42/6.13 inference(rewrite,[status(thm)],[])).
% 8.42/6.13 tff(14147,plain,
% 8.42/6.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14148,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 8.42/6.14 tff(14149,plain,
% 8.42/6.14 (~m_main_v_state1(s174, c_n1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14148, 454, 14108])).
% 8.42/6.14 tff(14150,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14151,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14152,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 8.42/6.14 tff(14153,plain,
% 8.42/6.14 (~node1(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14152, 421, 14149])).
% 8.42/6.14 tff(14154,plain,
% 8.42/6.14 (succ(s174, s175) <=> succ(s174, s175)),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14155,axiom,(succ(s174, s175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound175')).
% 8.42/6.14 tff(14156,plain,
% 8.42/6.14 (succ(s174, s175)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14155, 14154])).
% 8.42/6.14 tff(14157,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14158,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14159,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 8.42/6.14 tff(14160,plain,
% 8.42/6.14 (trans(s174, s175)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14159, 14156, 32])).
% 8.42/6.14 tff(14161,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14162,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14163,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 8.42/6.14 tff(14164,plain,
% 8.42/6.14 (node7(s174, s175)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14163, 206, 14160])).
% 8.42/6.14 tff(14165,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14166,plain,
% 8.42/6.14 (((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1)) <=> (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14167,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))))),
% 8.42/6.14 inference(monotonicity,[status(thm)],[14166])).
% 8.42/6.14 tff(14168,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 8.42/6.14 inference(transitivity,[status(thm)],[14167, 14165])).
% 8.42/6.14 tff(14169,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14170,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 8.42/6.14 tff(14171,plain,
% 8.42/6.14 (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14170, 584, 14164])).
% 8.42/6.14 tff(14172,plain,
% 8.42/6.14 (m_main_v_state1(s175, c_n1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14171, 14153, 14108, 14145, 14141, 14133, 14116])).
% 8.42/6.14 tff(14173,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14174,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14175,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 8.42/6.14 tff(14176,plain,
% 8.42/6.14 (~node15(s173)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14175, 103, 14085])).
% 8.42/6.14 tff(14177,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14178,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14179,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 8.42/6.14 tff(14180,plain,
% 8.42/6.14 (node18(s173, s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14179, 125, 14096])).
% 8.42/6.14 tff(14181,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14182,plain,
% 8.42/6.14 (((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1)) <=> (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14183,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)))),
% 8.42/6.14 inference(monotonicity,[status(thm)],[14182])).
% 8.42/6.14 tff(14184,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 8.42/6.14 inference(transitivity,[status(thm)],[14183, 14181])).
% 8.42/6.14 tff(14185,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14186,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14185, 14184])).
% 8.42/6.14 tff(14187,plain,
% 8.42/6.14 (node15(s173) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14186, 992, 14180])).
% 8.42/6.14 tff(14188,plain,
% 8.42/6.14 (m_main_v_turn(s174, c_1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14187, 14176, 14013, 14081])).
% 8.42/6.14 tff(14189,plain,
% 8.42/6.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14190,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14191,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 8.42/6.14 tff(14192,plain,
% 8.42/6.14 (~m_main_v_turn(s174, c_2)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14191, 156, 14188])).
% 8.42/6.14 tff(14193,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14194,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14195,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 8.42/6.14 tff(14196,plain,
% 8.42/6.14 (~node12(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14195, 184, 14192])).
% 8.42/6.14 tff(14197,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14198,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14199,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 8.42/6.14 tff(14200,plain,
% 8.42/6.14 (~node8(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14199, 271, 14129])).
% 8.42/6.14 tff(14201,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14202,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14203,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 8.42/6.14 tff(14204,plain,
% 8.42/6.14 (~node9(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14203, 88, 14129])).
% 8.42/6.14 tff(14205,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14206,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14207,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 8.42/6.14 tff(14208,plain,
% 8.42/6.14 (~node10(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14207, 249, 14129])).
% 8.42/6.14 tff(14209,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14210,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14211,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 8.42/6.14 tff(14212,plain,
% 8.42/6.14 (~node11(s174)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14211, 238, 14149])).
% 8.42/6.14 tff(14213,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14214,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14215,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 8.42/6.14 tff(14216,plain,
% 8.42/6.14 (node14(s174, s175)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14215, 46, 14160])).
% 8.42/6.14 tff(14217,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14218,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14219,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 8.42/6.14 tff(14220,plain,
% 8.42/6.14 (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14219, 296, 14216])).
% 8.42/6.14 tff(14221,plain,
% 8.42/6.14 (node13(s174, s175)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14220, 14212, 14137, 14208, 14204, 14200, 14196])).
% 8.42/6.14 tff(14222,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14223,plain,
% 8.42/6.14 (((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2)) <=> ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14224,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))))),
% 8.42/6.14 inference(monotonicity,[status(thm)],[14223])).
% 8.42/6.14 tff(14225,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 8.42/6.14 inference(transitivity,[status(thm)],[14224, 14222])).
% 8.42/6.14 tff(14226,plain,
% 8.42/6.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14227,plain,
% 8.42/6.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 8.42/6.14 tff(14228,plain,
% 8.42/6.14 (m_main_v_state2(s175, c_t2)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14227, 518, 14125, 14221])).
% 8.42/6.14 tff(14229,plain,
% 8.42/6.14 (succ(s175, s176) <=> succ(s175, s176)),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14230,axiom,(succ(s175, s176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound176')).
% 8.42/6.14 tff(14231,plain,
% 8.42/6.14 (succ(s175, s176)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 8.42/6.14 tff(14232,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14233,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14234,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 8.42/6.14 tff(14235,plain,
% 8.42/6.14 (trans(s175, s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14234, 14231, 32])).
% 8.42/6.14 tff(14236,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14237,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14238,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 8.42/6.14 tff(14239,plain,
% 8.42/6.14 (node7(s175, s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14238, 206, 14235])).
% 8.42/6.14 tff(14240,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14241,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14242,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 8.42/6.14 tff(14243,plain,
% 8.42/6.14 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_state1(s176, c_t1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14242, 651, 14239])).
% 8.42/6.14 tff(14244,plain,
% 8.42/6.14 (m_main_v_state1(s176, c_t1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14243, 14228, 14172])).
% 8.42/6.14 tff(14245,plain,
% 8.42/6.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14246,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14247,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 8.42/6.14 tff(14248,plain,
% 8.42/6.14 (~m_main_v_state1(s176, c_n1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14247, 10, 14244])).
% 8.42/6.14 tff(14249,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14250,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14251,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 8.42/6.14 tff(14252,plain,
% 8.42/6.14 (~node1(s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14251, 421, 14248])).
% 8.42/6.14 tff(14253,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14254,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14255,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 8.42/6.14 tff(14256,plain,
% 8.42/6.14 (node18(s175, s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14255, 125, 14235])).
% 8.42/6.14 tff(14257,plain,
% 8.42/6.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14258,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14259,plain,
% 8.42/6.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2)),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 8.42/6.14 tff(14260,plain,
% 8.42/6.14 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_turn(s176, c_2)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14259, 760, 14256])).
% 8.42/6.14 tff(14261,plain,
% 8.42/6.14 (m_main_v_turn(s176, c_2)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14260, 14228, 14172])).
% 8.42/6.14 tff(14262,plain,
% 8.42/6.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14263,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14264,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 8.42/6.14 tff(14265,plain,
% 8.42/6.14 (~m_main_v_turn(s176, c_1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14264, 156, 14261])).
% 8.42/6.14 tff(14266,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14267,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14268,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 8.42/6.14 tff(14269,plain,
% 8.42/6.14 (~node5(s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14268, 776, 14265])).
% 8.42/6.14 tff(14270,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14271,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14272,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 8.42/6.14 tff(14273,plain,
% 8.42/6.14 (~node2(s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14272, 787, 14248])).
% 8.42/6.14 tff(14274,plain,
% 8.42/6.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14275,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14276,plain,
% 8.42/6.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 8.42/6.14 tff(14277,plain,
% 8.42/6.14 (~node3(s176)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14276, 798, 14248])).
% 8.42/6.14 tff(14278,plain,
% 8.42/6.14 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14279,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))),
% 8.42/6.14 inference(quant_inst,[status(thm)],[])).
% 8.42/6.14 tff(14280,plain,
% 8.42/6.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1))),
% 8.42/6.14 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 8.42/6.14 tff(14281,plain,
% 8.42/6.14 (~m_main_v_state1(s176, c_c1)),
% 8.42/6.14 inference(unit_resolution,[status(thm)],[14280, 539, 14244])).
% 8.42/6.14 tff(14282,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14283,plain,
% 8.42/6.14 (((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2))) <=> (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 8.42/6.14 inference(rewrite,[status(thm)],[])).
% 8.42/6.14 tff(14284,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))))),
% 8.42/6.14 inference(monotonicity,[status(thm)],[14283])).
% 8.42/6.14 tff(14285,plain,
% 8.42/6.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 8.42/6.15 inference(transitivity,[status(thm)],[14284, 14282])).
% 8.42/6.15 tff(14286,plain,
% 8.42/6.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14287,plain,
% 8.42/6.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 8.42/6.15 tff(14288,plain,
% 8.42/6.15 (~m_main_v_state2(s175, c_n2)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14287, 311, 14129, 14221])).
% 8.42/6.15 tff(14289,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14290,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14291,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 8.42/6.15 tff(14292,plain,
% 8.42/6.15 (~node9(s175)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14291, 88, 14288])).
% 8.42/6.15 tff(14293,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14294,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14295,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 8.42/6.15 tff(14296,plain,
% 8.42/6.15 (~node10(s175)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14295, 249, 14288])).
% 8.42/6.15 tff(14297,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14298,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14299,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 8.42/6.15 tff(14300,plain,
% 8.42/6.15 (~node8(s175)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14299, 271, 14288])).
% 8.42/6.15 tff(14301,plain,
% 8.42/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14302,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14303,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176)),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 8.42/6.15 tff(14304,plain,
% 8.42/6.15 (node14(s175, s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14303, 46, 14235])).
% 8.42/6.15 tff(14305,plain,
% 8.42/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14306,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14307,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2)),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 8.42/6.15 tff(14308,plain,
% 8.42/6.15 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | m_main_v_state2(s176, c_c2)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14307, 617, 14304])).
% 8.42/6.15 tff(14309,plain,
% 8.42/6.15 (m_main_v_state2(s176, c_c2)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14308, 14300, 14172, 14228, 14296, 14292])).
% 8.42/6.15 tff(14310,plain,
% 8.42/6.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14311,plain,
% 8.42/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14312,plain,
% 8.42/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 8.42/6.15 tff(14313,plain,
% 8.42/6.15 (~m_main_v_state2(s176, c_n2)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14312, 697, 14309])).
% 8.42/6.15 tff(14314,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14315,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14316,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14315, 14314])).
% 8.42/6.15 tff(14317,plain,
% 8.42/6.15 (~node4(s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14316, 388, 14313])).
% 8.42/6.15 tff(14318,plain,
% 8.42/6.15 (succ(s176, s177) <=> succ(s176, s177)),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14319,axiom,(succ(s176, s177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound177')).
% 8.42/6.15 tff(14320,plain,
% 8.42/6.15 (succ(s176, s177)),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 8.42/6.15 tff(14321,plain,
% 8.42/6.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14322,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14323,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 8.42/6.15 tff(14324,plain,
% 8.42/6.15 (trans(s176, s177)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14323, 14320, 32])).
% 8.42/6.15 tff(14325,plain,
% 8.42/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14326,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14327,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177)),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 8.42/6.15 tff(14328,plain,
% 8.42/6.15 (node7(s176, s177)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14327, 206, 14324])).
% 8.42/6.15 tff(14329,plain,
% 8.42/6.15 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14330,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14331,plain,
% 8.42/6.15 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 8.42/6.15 tff(14332,plain,
% 8.42/6.15 (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14331, 820, 14328])).
% 8.42/6.15 tff(14333,plain,
% 8.42/6.15 (node6(s176, s177)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14332, 14317, 14281, 14277, 14273, 14269, 14252])).
% 8.42/6.15 tff(14334,plain,
% 8.42/6.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14335,plain,
% 8.42/6.15 (((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1)) <=> ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14336,plain,
% 8.42/6.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))))),
% 8.42/6.15 inference(monotonicity,[status(thm)],[14335])).
% 8.42/6.15 tff(14337,plain,
% 8.42/6.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 8.42/6.15 inference(transitivity,[status(thm)],[14336, 14334])).
% 8.42/6.15 tff(14338,plain,
% 8.42/6.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14339,plain,
% 8.42/6.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 8.42/6.15 tff(14340,plain,
% 8.42/6.15 (m_main_v_state1(s177, c_t1)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14339, 856, 14244, 14333])).
% 8.42/6.15 tff(14341,plain,
% 8.42/6.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14342,plain,
% 8.42/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14343,plain,
% 8.42/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 8.42/6.15 tff(14344,plain,
% 8.42/6.15 (~m_main_v_state2(s176, c_t2)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14343, 260, 14309])).
% 8.42/6.15 tff(14345,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14346,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14347,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 8.42/6.15 tff(14348,plain,
% 8.42/6.15 (~node12(s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14347, 633, 14344])).
% 8.42/6.15 tff(14349,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14350,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14351,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 8.42/6.15 tff(14352,plain,
% 8.42/6.15 (~node11(s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14351, 238, 14248])).
% 8.42/6.15 tff(14353,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14354,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14355,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 8.42/6.15 tff(14356,plain,
% 8.42/6.15 (~node10(s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14355, 675, 14281])).
% 8.42/6.15 tff(14357,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.42/6.15 tff(14358,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 8.42/6.15 inference(quant_inst,[status(thm)],[])).
% 8.42/6.15 tff(14359,plain,
% 8.42/6.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176))),
% 8.42/6.15 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 8.42/6.15 tff(14360,plain,
% 8.42/6.15 (~node9(s176)),
% 8.42/6.15 inference(unit_resolution,[status(thm)],[14359, 686, 14248])).
% 8.42/6.15 tff(14361,plain,
% 8.42/6.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 8.42/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14362,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14363,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 8.52/6.15 tff(14364,plain,
% 8.52/6.15 (~node8(s176)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14363, 271, 14313])).
% 8.52/6.15 tff(14365,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14366,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14367,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 8.52/6.15 tff(14368,plain,
% 8.52/6.15 (node14(s176, s177)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14367, 46, 14324])).
% 8.52/6.15 tff(14369,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14370,plain,
% 8.52/6.15 (((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2)) <=> (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14371,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))))),
% 8.52/6.15 inference(monotonicity,[status(thm)],[14370])).
% 8.52/6.15 tff(14372,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 8.52/6.15 inference(transitivity,[status(thm)],[14371, 14369])).
% 8.52/6.15 tff(14373,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14374,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14373, 14372])).
% 8.52/6.15 tff(14375,plain,
% 8.52/6.15 (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~m_main_v_state2(s176, c_c2))),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14374, 726, 14368])).
% 8.52/6.15 tff(14376,plain,
% 8.52/6.15 (m_main_v_state2(s177, c_n2)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14375, 14364, 14309, 14360, 14356, 14352, 14348])).
% 8.52/6.15 tff(14377,plain,
% 8.52/6.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14378,plain,
% 8.52/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14379,plain,
% 8.52/6.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 8.52/6.15 tff(14380,plain,
% 8.52/6.15 (~m_main_v_state2(s177, c_t2)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14379, 77, 14376])).
% 8.52/6.15 tff(14381,plain,
% 8.52/6.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14382,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14383,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 8.52/6.15 tff(14384,plain,
% 8.52/6.15 (~node15(s177)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14383, 103, 14380])).
% 8.52/6.15 tff(14385,plain,
% 8.52/6.15 (succ(s177, s178) <=> succ(s177, s178)),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14386,axiom,(succ(s177, s178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound178')).
% 8.52/6.15 tff(14387,plain,
% 8.52/6.15 (succ(s177, s178)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 8.52/6.15 tff(14388,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14389,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14390,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 8.52/6.15 tff(14391,plain,
% 8.52/6.15 (trans(s177, s178)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14390, 14387, 32])).
% 8.52/6.15 tff(14392,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14393,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14394,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 8.52/6.15 tff(14395,plain,
% 8.52/6.15 (node18(s177, s178)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14394, 125, 14391])).
% 8.52/6.15 tff(14396,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14397,plain,
% 8.52/6.15 (((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1)) <=> (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14398,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)))),
% 8.52/6.15 inference(monotonicity,[status(thm)],[14397])).
% 8.52/6.15 tff(14399,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 8.52/6.15 inference(transitivity,[status(thm)],[14398, 14396])).
% 8.52/6.15 tff(14400,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14401,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 8.52/6.15 tff(14402,plain,
% 8.52/6.15 (node15(s177) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14401, 992, 14395])).
% 8.52/6.15 tff(14403,plain,
% 8.52/6.15 (m_main_v_turn(s178, c_1)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14402, 14384, 14376, 14340])).
% 8.52/6.15 tff(14404,plain,
% 8.52/6.15 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14405,plain,
% 8.52/6.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14406,plain,
% 8.52/6.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 8.52/6.15 tff(14407,plain,
% 8.52/6.15 (~m_main_v_turn(s178, c_2)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14406, 156, 14403])).
% 8.52/6.15 tff(14408,plain,
% 8.52/6.15 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14409,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14410,plain,
% 8.52/6.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178))),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 8.52/6.15 tff(14411,plain,
% 8.52/6.15 (~node12(s178)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14410, 184, 14407])).
% 8.52/6.15 tff(14412,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178))),
% 8.52/6.15 inference(rewrite,[status(thm)],[])).
% 8.52/6.15 tff(14413,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))),
% 8.52/6.15 inference(quant_inst,[status(thm)],[])).
% 8.52/6.15 tff(14414,plain,
% 8.52/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178)),
% 8.52/6.15 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 8.52/6.15 tff(14415,plain,
% 8.52/6.15 (node14(s177, s178)),
% 8.52/6.15 inference(unit_resolution,[status(thm)],[14414, 46, 14391])).
% 8.52/6.15 tff(14416,plain,
% 8.52/6.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14417,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14418,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2)),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 8.52/6.16 tff(14419,plain,
% 8.52/6.16 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state2(s178, c_t2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14418, 922, 14415])).
% 8.52/6.16 tff(14420,plain,
% 8.52/6.16 (m_main_v_state2(s178, c_t2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14419, 14340, 14376])).
% 8.52/6.16 tff(14421,plain,
% 8.52/6.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14422,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14423,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14422, 14421])).
% 8.52/6.16 tff(14424,plain,
% 8.52/6.16 (~m_main_v_state2(s178, c_n2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14423, 77, 14420])).
% 8.52/6.16 tff(14425,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14426,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14427,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 8.52/6.16 tff(14428,plain,
% 8.52/6.16 (~node8(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14427, 271, 14424])).
% 8.52/6.16 tff(14429,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14430,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14431,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 8.52/6.16 tff(14432,plain,
% 8.52/6.16 (~node9(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14431, 88, 14424])).
% 8.52/6.16 tff(14433,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14434,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14435,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 8.52/6.16 tff(14436,plain,
% 8.52/6.16 (~node10(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14435, 249, 14424])).
% 8.52/6.16 tff(14437,plain,
% 8.52/6.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14438,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14439,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14438, 14437])).
% 8.52/6.16 tff(14440,plain,
% 8.52/6.16 (~m_main_v_state2(s178, c_c2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14439, 260, 14420])).
% 8.52/6.16 tff(14441,plain,
% 8.52/6.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14442,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14443,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 8.52/6.16 tff(14444,plain,
% 8.52/6.16 (~m_main_v_state2(s177, c_c2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14443, 697, 14376])).
% 8.52/6.16 tff(14445,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14446,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14447,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14446, 14445])).
% 8.52/6.16 tff(14448,plain,
% 8.52/6.16 (~node3(s177)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14447, 399, 14444])).
% 8.52/6.16 tff(14449,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14450,plain,
% 8.52/6.16 (((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1))) <=> (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14451,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))))),
% 8.52/6.16 inference(monotonicity,[status(thm)],[14450])).
% 8.52/6.16 tff(14452,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 8.52/6.16 inference(transitivity,[status(thm)],[14451, 14449])).
% 8.52/6.16 tff(14453,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14454,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 8.52/6.16 tff(14455,plain,
% 8.52/6.16 (~m_main_v_state1(s177, c_n1)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14454, 835, 14248, 14333])).
% 8.52/6.16 tff(14456,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14457,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14458,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 8.52/6.16 tff(14459,plain,
% 8.52/6.16 (~node2(s177)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14458, 787, 14455])).
% 8.52/6.16 tff(14460,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14461,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14462,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 8.52/6.16 tff(14463,plain,
% 8.52/6.16 (~node1(s177)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14462, 195, 14380])).
% 8.52/6.16 tff(14464,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14465,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14466,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178)),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 8.52/6.16 tff(14467,plain,
% 8.52/6.16 (node7(s177, s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14466, 206, 14391])).
% 8.52/6.16 tff(14468,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14469,plain,
% 8.52/6.16 (((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1)) <=> ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14470,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178))))),
% 8.52/6.16 inference(monotonicity,[status(thm)],[14469])).
% 8.52/6.16 tff(14471,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 8.52/6.16 inference(transitivity,[status(thm)],[14470, 14468])).
% 8.52/6.16 tff(14472,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14473,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 8.52/6.16 tff(14474,plain,
% 8.52/6.16 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14473, 892, 14467])).
% 8.52/6.16 tff(14475,plain,
% 8.52/6.16 (m_main_v_state1(s178, c_c1)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14474, 14463, 14376, 14340, 14459, 14448])).
% 8.52/6.16 tff(14476,plain,
% 8.52/6.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14477,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14478,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14477, 14476])).
% 8.52/6.16 tff(14479,plain,
% 8.52/6.16 (~m_main_v_state1(s178, c_n1)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14478, 454, 14475])).
% 8.52/6.16 tff(14480,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14481,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14482,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 8.52/6.16 tff(14483,plain,
% 8.52/6.16 (~node11(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14482, 238, 14479])).
% 8.52/6.16 tff(14484,plain,
% 8.52/6.16 (succ(s178, s179) <=> succ(s178, s179)),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14485,axiom,(succ(s178, s179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound179')).
% 8.52/6.16 tff(14486,plain,
% 8.52/6.16 (succ(s178, s179)),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 8.52/6.16 tff(14487,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14488,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14489,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 8.52/6.16 tff(14490,plain,
% 8.52/6.16 (trans(s178, s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14489, 14486, 32])).
% 8.52/6.16 tff(14491,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14492,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14493,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179)),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 8.52/6.16 tff(14494,plain,
% 8.52/6.16 (node14(s178, s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14493, 46, 14490])).
% 8.52/6.16 tff(14495,plain,
% 8.52/6.16 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14496,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14497,plain,
% 8.52/6.16 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 8.52/6.16 tff(14498,plain,
% 8.52/6.16 (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14497, 296, 14494])).
% 8.52/6.16 tff(14499,plain,
% 8.52/6.16 (node13(s178, s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14498, 14483, 14440, 14436, 14432, 14428, 14411])).
% 8.52/6.16 tff(14500,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14501,plain,
% 8.52/6.16 (((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2))) <=> (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14502,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))))),
% 8.52/6.16 inference(monotonicity,[status(thm)],[14501])).
% 8.52/6.16 tff(14503,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 8.52/6.16 inference(transitivity,[status(thm)],[14502, 14500])).
% 8.52/6.16 tff(14504,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14505,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 8.52/6.16 tff(14506,plain,
% 8.52/6.16 (~m_main_v_state2(s179, c_n2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14505, 311, 14424, 14499])).
% 8.52/6.16 tff(14507,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14508,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14509,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 8.52/6.16 tff(14510,plain,
% 8.52/6.16 (~node9(s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14509, 88, 14506])).
% 8.52/6.16 tff(14511,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14512,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14513,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 8.52/6.16 tff(14514,plain,
% 8.52/6.16 (~node10(s179)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14513, 249, 14506])).
% 8.52/6.16 tff(14515,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14516,plain,
% 8.52/6.16 (((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2)) <=> ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14517,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))))),
% 8.52/6.16 inference(monotonicity,[status(thm)],[14516])).
% 8.52/6.16 tff(14518,plain,
% 8.52/6.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 8.52/6.16 inference(transitivity,[status(thm)],[14517, 14515])).
% 8.52/6.16 tff(14519,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14520,plain,
% 8.52/6.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 8.52/6.16 tff(14521,plain,
% 8.52/6.16 (m_main_v_state2(s179, c_t2)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14520, 518, 14420, 14499])).
% 8.52/6.16 tff(14522,plain,
% 8.52/6.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14523,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14524,plain,
% 8.52/6.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 8.52/6.16 tff(14525,plain,
% 8.52/6.16 (~m_main_v_state1(s178, c_t1)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14524, 539, 14475])).
% 8.52/6.16 tff(14526,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14527,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14528,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 8.52/6.16 tff(14529,plain,
% 8.52/6.16 (~node5(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14528, 550, 14525])).
% 8.52/6.16 tff(14530,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14531,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14532,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14531, 14530])).
% 8.52/6.16 tff(14533,plain,
% 8.52/6.16 (~node4(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14532, 388, 14424])).
% 8.52/6.16 tff(14534,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14535,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14536,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178))),
% 8.52/6.16 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 8.52/6.16 tff(14537,plain,
% 8.52/6.16 (~node3(s178)),
% 8.52/6.16 inference(unit_resolution,[status(thm)],[14536, 399, 14440])).
% 8.52/6.16 tff(14538,plain,
% 8.52/6.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 8.52/6.16 inference(rewrite,[status(thm)],[])).
% 8.52/6.16 tff(14539,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 8.52/6.16 inference(quant_inst,[status(thm)],[])).
% 8.52/6.16 tff(14540,plain,
% 8.52/6.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 8.52/6.17 tff(14541,plain,
% 8.52/6.17 (~node2(s178)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14540, 410, 14424])).
% 8.52/6.17 tff(14542,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14543,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14544,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 8.52/6.17 tff(14545,plain,
% 8.52/6.17 (~node1(s178)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14544, 421, 14479])).
% 8.52/6.17 tff(14546,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14547,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14548,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 8.52/6.17 tff(14549,plain,
% 8.52/6.17 (node7(s178, s179)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14548, 206, 14490])).
% 8.52/6.17 tff(14550,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14551,plain,
% 8.52/6.17 (((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1)) <=> (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14552,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))))),
% 8.52/6.17 inference(monotonicity,[status(thm)],[14551])).
% 8.52/6.17 tff(14553,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 8.52/6.17 inference(transitivity,[status(thm)],[14552, 14550])).
% 8.52/6.17 tff(14554,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14555,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 8.52/6.17 tff(14556,plain,
% 8.52/6.17 (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14555, 584, 14549])).
% 8.52/6.17 tff(14557,plain,
% 8.52/6.17 (m_main_v_state1(s179, c_n1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14556, 14545, 14475, 14541, 14537, 14533, 14529])).
% 8.52/6.17 tff(14558,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14559,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14560,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 8.52/6.17 tff(14561,plain,
% 8.52/6.17 (~node8(s179)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14560, 271, 14506])).
% 8.52/6.17 tff(14562,plain,
% 8.52/6.17 (succ(s179, s180) <=> succ(s179, s180)),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14563,axiom,(succ(s179, s180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound180')).
% 8.52/6.17 tff(14564,plain,
% 8.52/6.17 (succ(s179, s180)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 8.52/6.17 tff(14565,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14566,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14567,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 8.52/6.17 tff(14568,plain,
% 8.52/6.17 (trans(s179, s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14567, 14564, 32])).
% 8.52/6.17 tff(14569,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14570,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14571,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14570, 14569])).
% 8.52/6.17 tff(14572,plain,
% 8.52/6.17 (node14(s179, s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14571, 46, 14568])).
% 8.52/6.17 tff(14573,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14574,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14575,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 8.52/6.17 tff(14576,plain,
% 8.52/6.17 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | m_main_v_state2(s180, c_c2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14575, 617, 14572])).
% 8.52/6.17 tff(14577,plain,
% 8.52/6.17 (m_main_v_state2(s180, c_c2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14576, 14561, 14557, 14521, 14514, 14510])).
% 8.52/6.17 tff(14578,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14579,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14580,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14579, 14578])).
% 8.52/6.17 tff(14581,plain,
% 8.52/6.17 (~m_main_v_state2(s180, c_t2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14580, 260, 14577])).
% 8.52/6.17 tff(14582,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14583,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14584,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 8.52/6.17 tff(14585,plain,
% 8.52/6.17 (~node12(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14584, 633, 14581])).
% 8.52/6.17 tff(14586,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14587,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14588,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14587, 14586])).
% 8.52/6.17 tff(14589,plain,
% 8.52/6.17 (node7(s179, s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14588, 206, 14568])).
% 8.52/6.17 tff(14590,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14591,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14592,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14591, 14590])).
% 8.52/6.17 tff(14593,plain,
% 8.52/6.17 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_state1(s180, c_t1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14592, 651, 14589])).
% 8.52/6.17 tff(14594,plain,
% 8.52/6.17 (m_main_v_state1(s180, c_t1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14593, 14521, 14557])).
% 8.52/6.17 tff(14595,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14596,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14597,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 8.52/6.17 tff(14598,plain,
% 8.52/6.17 (~m_main_v_state1(s180, c_n1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14597, 10, 14594])).
% 8.52/6.17 tff(14599,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14600,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14601,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 8.52/6.17 tff(14602,plain,
% 8.52/6.17 (~node11(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14601, 238, 14598])).
% 8.52/6.17 tff(14603,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14604,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14605,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 8.52/6.17 tff(14606,plain,
% 8.52/6.17 (~m_main_v_state1(s180, c_c1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14605, 539, 14594])).
% 8.52/6.17 tff(14607,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14608,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14609,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 8.52/6.17 tff(14610,plain,
% 8.52/6.17 (~node10(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14609, 675, 14606])).
% 8.52/6.17 tff(14611,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14612,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14613,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 8.52/6.17 tff(14614,plain,
% 8.52/6.17 (~node9(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14613, 686, 14598])).
% 8.52/6.17 tff(14615,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14616,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14617,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 8.52/6.17 tff(14618,plain,
% 8.52/6.17 (~m_main_v_state2(s180, c_n2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14617, 697, 14577])).
% 8.52/6.17 tff(14619,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14620,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14621,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 8.52/6.17 tff(14622,plain,
% 8.52/6.17 (~node8(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14621, 271, 14618])).
% 8.52/6.17 tff(14623,plain,
% 8.52/6.17 (succ(s180, s181) <=> succ(s180, s181)),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14624,axiom,(succ(s180, s181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound181')).
% 8.52/6.17 tff(14625,plain,
% 8.52/6.17 (succ(s180, s181)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 8.52/6.17 tff(14626,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14627,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14628,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 8.52/6.17 tff(14629,plain,
% 8.52/6.17 (trans(s180, s181)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14628, 14625, 32])).
% 8.52/6.17 tff(14630,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14631,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14632,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 8.52/6.17 tff(14633,plain,
% 8.52/6.17 (node14(s180, s181)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14632, 46, 14629])).
% 8.52/6.17 tff(14634,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14635,plain,
% 8.52/6.17 (((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2)) <=> (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14636,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))))),
% 8.52/6.17 inference(monotonicity,[status(thm)],[14635])).
% 8.52/6.17 tff(14637,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 8.52/6.17 inference(transitivity,[status(thm)],[14636, 14634])).
% 8.52/6.17 tff(14638,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14639,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 8.52/6.17 tff(14640,plain,
% 8.52/6.17 (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~m_main_v_state2(s180, c_c2))),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14639, 726, 14633])).
% 8.52/6.17 tff(14641,plain,
% 8.52/6.17 (m_main_v_state2(s181, c_n2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14640, 14622, 14577, 14614, 14610, 14602, 14585])).
% 8.52/6.17 tff(14642,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14643,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14644,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 8.52/6.17 tff(14645,plain,
% 8.52/6.17 (~m_main_v_state2(s181, c_c2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14644, 697, 14641])).
% 8.52/6.17 tff(14646,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14647,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14648,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 8.52/6.17 tff(14649,plain,
% 8.52/6.17 (~node3(s181)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14648, 399, 14645])).
% 8.52/6.17 tff(14650,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14651,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14652,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 8.52/6.17 tff(14653,plain,
% 8.52/6.17 (~node1(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14652, 421, 14598])).
% 8.52/6.17 tff(14654,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14655,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14656,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 8.52/6.17 tff(14657,plain,
% 8.52/6.17 (node18(s179, s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14656, 125, 14568])).
% 8.52/6.17 tff(14658,plain,
% 8.52/6.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14659,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14660,plain,
% 8.52/6.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2)),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 8.52/6.17 tff(14661,plain,
% 8.52/6.17 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_turn(s180, c_2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14660, 760, 14657])).
% 8.52/6.17 tff(14662,plain,
% 8.52/6.17 (m_main_v_turn(s180, c_2)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14661, 14521, 14557])).
% 8.52/6.17 tff(14663,plain,
% 8.52/6.17 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14664,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14665,plain,
% 8.52/6.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 8.52/6.17 tff(14666,plain,
% 8.52/6.17 (~m_main_v_turn(s180, c_1)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14665, 156, 14662])).
% 8.52/6.17 tff(14667,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14668,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14669,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 8.52/6.17 tff(14670,plain,
% 8.52/6.17 (~node5(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14669, 776, 14666])).
% 8.52/6.17 tff(14671,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14672,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14673,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 8.52/6.17 tff(14674,plain,
% 8.52/6.17 (~node2(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14673, 787, 14598])).
% 8.52/6.17 tff(14675,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14676,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 8.52/6.17 inference(quant_inst,[status(thm)],[])).
% 8.52/6.17 tff(14677,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180))),
% 8.52/6.17 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 8.52/6.17 tff(14678,plain,
% 8.52/6.17 (~node3(s180)),
% 8.52/6.17 inference(unit_resolution,[status(thm)],[14677, 798, 14598])).
% 8.52/6.17 tff(14679,plain,
% 8.52/6.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 8.52/6.17 inference(rewrite,[status(thm)],[])).
% 8.52/6.17 tff(14680,plain,
% 8.52/6.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14681,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 8.52/6.18 tff(14682,plain,
% 8.52/6.18 (~node4(s180)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14681, 388, 14618])).
% 8.52/6.18 tff(14683,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14684,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14685,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 8.52/6.18 tff(14686,plain,
% 8.52/6.18 (node7(s180, s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14685, 206, 14629])).
% 8.52/6.18 tff(14687,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14688,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14689,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 8.52/6.18 tff(14690,plain,
% 8.52/6.18 (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14689, 820, 14686])).
% 8.52/6.18 tff(14691,plain,
% 8.52/6.18 (node6(s180, s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14690, 14682, 14606, 14678, 14674, 14670, 14653])).
% 8.52/6.18 tff(14692,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14693,plain,
% 8.52/6.18 (((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1))) <=> (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14694,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))))),
% 8.52/6.18 inference(monotonicity,[status(thm)],[14693])).
% 8.52/6.18 tff(14695,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 8.52/6.18 inference(transitivity,[status(thm)],[14694, 14692])).
% 8.52/6.18 tff(14696,plain,
% 8.52/6.18 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14697,plain,
% 8.52/6.18 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 8.52/6.18 tff(14698,plain,
% 8.52/6.18 (~m_main_v_state1(s181, c_n1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14697, 835, 14598, 14691])).
% 8.52/6.18 tff(14699,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14700,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14701,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 8.52/6.18 tff(14702,plain,
% 8.52/6.18 (~node2(s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14701, 787, 14698])).
% 8.52/6.18 tff(14703,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14704,plain,
% 8.52/6.18 (((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1)) <=> ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14705,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))))),
% 8.52/6.18 inference(monotonicity,[status(thm)],[14704])).
% 8.52/6.18 tff(14706,plain,
% 8.52/6.18 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 8.52/6.18 inference(transitivity,[status(thm)],[14705, 14703])).
% 8.52/6.18 tff(14707,plain,
% 8.52/6.18 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14708,plain,
% 8.52/6.18 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 8.52/6.18 tff(14709,plain,
% 8.52/6.18 (m_main_v_state1(s181, c_t1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14708, 856, 14594, 14691])).
% 8.52/6.18 tff(14710,plain,
% 8.52/6.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14711,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14712,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 8.52/6.18 tff(14713,plain,
% 8.52/6.18 (~m_main_v_state2(s181, c_t2)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14712, 77, 14641])).
% 8.52/6.18 tff(14714,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14715,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14716,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14715, 14714])).
% 8.52/6.18 tff(14717,plain,
% 8.52/6.18 (~node1(s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14716, 195, 14713])).
% 8.52/6.18 tff(14718,plain,
% 8.52/6.18 (succ(s181, s182) <=> succ(s181, s182)),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14719,axiom,(succ(s181, s182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound182')).
% 8.52/6.18 tff(14720,plain,
% 8.52/6.18 (succ(s181, s182)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 8.52/6.18 tff(14721,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14722,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14723,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 8.52/6.18 tff(14724,plain,
% 8.52/6.18 (trans(s181, s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14723, 14720, 32])).
% 8.52/6.18 tff(14725,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14726,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14727,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 8.52/6.18 tff(14728,plain,
% 8.52/6.18 (node7(s181, s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14727, 206, 14724])).
% 8.52/6.18 tff(14729,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14730,plain,
% 8.52/6.18 (((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1)) <=> ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14731,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182))))),
% 8.52/6.18 inference(monotonicity,[status(thm)],[14730])).
% 8.52/6.18 tff(14732,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 8.52/6.18 inference(transitivity,[status(thm)],[14731, 14729])).
% 8.52/6.18 tff(14733,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14734,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 8.52/6.18 tff(14735,plain,
% 8.52/6.18 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14734, 892, 14728])).
% 8.52/6.18 tff(14736,plain,
% 8.52/6.18 (m_main_v_state1(s182, c_c1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14735, 14717, 14641, 14709, 14702, 14649])).
% 8.52/6.18 tff(14737,plain,
% 8.52/6.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14738,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14739,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 8.52/6.18 tff(14740,plain,
% 8.52/6.18 (~m_main_v_state1(s182, c_t1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14739, 539, 14736])).
% 8.52/6.18 tff(14741,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14742,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14743,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 8.52/6.18 tff(14744,plain,
% 8.52/6.18 (~node5(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14743, 550, 14740])).
% 8.52/6.18 tff(14745,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14746,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14747,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 8.52/6.18 tff(14748,plain,
% 8.52/6.18 (node14(s181, s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14747, 46, 14724])).
% 8.52/6.18 tff(14749,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14750,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14751,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 8.52/6.18 tff(14752,plain,
% 8.52/6.18 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state2(s182, c_t2)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14751, 922, 14748])).
% 8.52/6.18 tff(14753,plain,
% 8.52/6.18 (m_main_v_state2(s182, c_t2)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14752, 14709, 14641])).
% 8.52/6.18 tff(14754,plain,
% 8.52/6.18 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14755,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14756,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 8.52/6.18 tff(14757,plain,
% 8.52/6.18 (~m_main_v_state2(s182, c_n2)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14756, 77, 14753])).
% 8.52/6.18 tff(14758,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14759,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14760,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 8.52/6.18 tff(14761,plain,
% 8.52/6.18 (~node4(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14760, 388, 14757])).
% 8.52/6.18 tff(14762,plain,
% 8.52/6.18 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14763,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14764,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 8.52/6.18 tff(14765,plain,
% 8.52/6.18 (~m_main_v_state2(s182, c_c2)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14764, 260, 14753])).
% 8.52/6.18 tff(14766,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14767,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14768,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 8.52/6.18 tff(14769,plain,
% 8.52/6.18 (~node3(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14768, 399, 14765])).
% 8.52/6.18 tff(14770,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14771,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14772,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 8.52/6.18 tff(14773,plain,
% 8.52/6.18 (~node2(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14772, 410, 14757])).
% 8.52/6.18 tff(14774,plain,
% 8.52/6.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14775,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14776,plain,
% 8.52/6.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 8.52/6.18 tff(14777,plain,
% 8.52/6.18 (~m_main_v_state1(s182, c_n1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14776, 454, 14736])).
% 8.52/6.18 tff(14778,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14779,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14780,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14779, 14778])).
% 8.52/6.18 tff(14781,plain,
% 8.52/6.18 (~node1(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14780, 421, 14777])).
% 8.52/6.18 tff(14782,plain,
% 8.52/6.18 (succ(s182, s183) <=> succ(s182, s183)),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14783,axiom,(succ(s182, s183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound183')).
% 8.52/6.18 tff(14784,plain,
% 8.52/6.18 (succ(s182, s183)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 8.52/6.18 tff(14785,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14786,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14787,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 8.52/6.18 tff(14788,plain,
% 8.52/6.18 (trans(s182, s183)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14787, 14784, 32])).
% 8.52/6.18 tff(14789,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14790,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14791,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14790, 14789])).
% 8.52/6.18 tff(14792,plain,
% 8.52/6.18 (node7(s182, s183)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14791, 206, 14788])).
% 8.52/6.18 tff(14793,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14794,plain,
% 8.52/6.18 (((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1)) <=> (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14795,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))))),
% 8.52/6.18 inference(monotonicity,[status(thm)],[14794])).
% 8.52/6.18 tff(14796,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 8.52/6.18 inference(transitivity,[status(thm)],[14795, 14793])).
% 8.52/6.18 tff(14797,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14798,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 8.52/6.18 tff(14799,plain,
% 8.52/6.18 (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14798, 584, 14792])).
% 8.52/6.18 tff(14800,plain,
% 8.52/6.18 (m_main_v_state1(s183, c_n1)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14799, 14781, 14736, 14773, 14769, 14761, 14744])).
% 8.52/6.18 tff(14801,plain,
% 8.52/6.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14802,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14803,plain,
% 8.52/6.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181))),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 8.52/6.18 tff(14804,plain,
% 8.52/6.18 (~node15(s181)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14803, 103, 14713])).
% 8.52/6.18 tff(14805,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14806,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))),
% 8.52/6.18 inference(quant_inst,[status(thm)],[])).
% 8.52/6.18 tff(14807,plain,
% 8.52/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182)),
% 8.52/6.18 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 8.52/6.18 tff(14808,plain,
% 8.52/6.18 (node18(s181, s182)),
% 8.52/6.18 inference(unit_resolution,[status(thm)],[14807, 125, 14724])).
% 8.52/6.18 tff(14809,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14810,plain,
% 8.52/6.18 (((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1)) <=> (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 8.52/6.18 inference(rewrite,[status(thm)],[])).
% 8.52/6.18 tff(14811,plain,
% 8.52/6.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)))),
% 8.52/6.19 inference(monotonicity,[status(thm)],[14810])).
% 8.52/6.19 tff(14812,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 8.52/6.19 inference(transitivity,[status(thm)],[14811, 14809])).
% 8.52/6.19 tff(14813,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14814,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14813, 14812])).
% 8.52/6.19 tff(14815,plain,
% 8.52/6.19 (node15(s181) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14814, 992, 14808])).
% 8.52/6.19 tff(14816,plain,
% 8.52/6.19 (m_main_v_turn(s182, c_1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14815, 14804, 14641, 14709])).
% 8.52/6.19 tff(14817,plain,
% 8.52/6.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14818,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14819,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 8.52/6.19 tff(14820,plain,
% 8.52/6.19 (~m_main_v_turn(s182, c_2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14819, 156, 14816])).
% 8.52/6.19 tff(14821,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14822,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14823,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 8.52/6.19 tff(14824,plain,
% 8.52/6.19 (~node12(s182)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14823, 184, 14820])).
% 8.52/6.19 tff(14825,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14826,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14827,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 8.52/6.19 tff(14828,plain,
% 8.52/6.19 (~node8(s182)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14827, 271, 14757])).
% 8.52/6.19 tff(14829,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14830,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14831,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 8.52/6.19 tff(14832,plain,
% 8.52/6.19 (~node9(s182)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14831, 88, 14757])).
% 8.52/6.19 tff(14833,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14834,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14835,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 8.52/6.19 tff(14836,plain,
% 8.52/6.19 (~node10(s182)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14835, 249, 14757])).
% 8.52/6.19 tff(14837,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14838,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14839,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 8.52/6.19 tff(14840,plain,
% 8.52/6.19 (~node11(s182)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14839, 238, 14777])).
% 8.52/6.19 tff(14841,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14842,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14843,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 8.52/6.19 tff(14844,plain,
% 8.52/6.19 (node14(s182, s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14843, 46, 14788])).
% 8.52/6.19 tff(14845,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14846,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14847,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 8.52/6.19 tff(14848,plain,
% 8.52/6.19 (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14847, 296, 14844])).
% 8.52/6.19 tff(14849,plain,
% 8.52/6.19 (node13(s182, s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14848, 14840, 14765, 14836, 14832, 14828, 14824])).
% 8.52/6.19 tff(14850,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14851,plain,
% 8.52/6.19 (((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2)) <=> ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14852,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))))),
% 8.52/6.19 inference(monotonicity,[status(thm)],[14851])).
% 8.52/6.19 tff(14853,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 8.52/6.19 inference(transitivity,[status(thm)],[14852, 14850])).
% 8.52/6.19 tff(14854,plain,
% 8.52/6.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14855,plain,
% 8.52/6.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 8.52/6.19 tff(14856,plain,
% 8.52/6.19 (m_main_v_state2(s183, c_t2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14855, 518, 14753, 14849])).
% 8.52/6.19 tff(14857,plain,
% 8.52/6.19 (succ(s183, s184) <=> succ(s183, s184)),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14858,axiom,(succ(s183, s184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound184')).
% 8.52/6.19 tff(14859,plain,
% 8.52/6.19 (succ(s183, s184)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14858, 14857])).
% 8.52/6.19 tff(14860,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14861,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14862,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 8.52/6.19 tff(14863,plain,
% 8.52/6.19 (trans(s183, s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14862, 14859, 32])).
% 8.52/6.19 tff(14864,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14865,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14866,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 8.52/6.19 tff(14867,plain,
% 8.52/6.19 (node7(s183, s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14866, 206, 14863])).
% 8.52/6.19 tff(14868,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14869,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14870,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 8.52/6.19 tff(14871,plain,
% 8.52/6.19 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_state1(s184, c_t1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14870, 651, 14867])).
% 8.52/6.19 tff(14872,plain,
% 8.52/6.19 (m_main_v_state1(s184, c_t1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14871, 14856, 14800])).
% 8.52/6.19 tff(14873,plain,
% 8.52/6.19 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14874,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14875,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14874, 14873])).
% 8.52/6.19 tff(14876,plain,
% 8.52/6.19 (~m_main_v_state1(s184, c_n1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14875, 10, 14872])).
% 8.52/6.19 tff(14877,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14878,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14879,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 8.52/6.19 tff(14880,plain,
% 8.52/6.19 (~node1(s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14879, 421, 14876])).
% 8.52/6.19 tff(14881,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14882,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14883,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 8.52/6.19 tff(14884,plain,
% 8.52/6.19 (node18(s183, s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14883, 125, 14863])).
% 8.52/6.19 tff(14885,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14886,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14887,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 8.52/6.19 tff(14888,plain,
% 8.52/6.19 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_turn(s184, c_2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14887, 760, 14884])).
% 8.52/6.19 tff(14889,plain,
% 8.52/6.19 (m_main_v_turn(s184, c_2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14888, 14856, 14800])).
% 8.52/6.19 tff(14890,plain,
% 8.52/6.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14891,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14892,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 8.52/6.19 tff(14893,plain,
% 8.52/6.19 (~m_main_v_turn(s184, c_1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14892, 156, 14889])).
% 8.52/6.19 tff(14894,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14895,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14896,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 8.52/6.19 tff(14897,plain,
% 8.52/6.19 (~node5(s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14896, 776, 14893])).
% 8.52/6.19 tff(14898,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14899,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14900,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14899, 14898])).
% 8.52/6.19 tff(14901,plain,
% 8.52/6.19 (~node2(s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14900, 787, 14876])).
% 8.52/6.19 tff(14902,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14903,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14904,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14903, 14902])).
% 8.52/6.19 tff(14905,plain,
% 8.52/6.19 (~node3(s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14904, 798, 14876])).
% 8.52/6.19 tff(14906,plain,
% 8.52/6.19 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14907,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14908,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 8.52/6.19 tff(14909,plain,
% 8.52/6.19 (~m_main_v_state1(s184, c_c1)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14908, 539, 14872])).
% 8.52/6.19 tff(14910,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14911,plain,
% 8.52/6.19 (((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2))) <=> (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14912,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))))),
% 8.52/6.19 inference(monotonicity,[status(thm)],[14911])).
% 8.52/6.19 tff(14913,plain,
% 8.52/6.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 8.52/6.19 inference(transitivity,[status(thm)],[14912, 14910])).
% 8.52/6.19 tff(14914,plain,
% 8.52/6.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14915,plain,
% 8.52/6.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 8.52/6.19 tff(14916,plain,
% 8.52/6.19 (~m_main_v_state2(s183, c_n2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14915, 311, 14757, 14849])).
% 8.52/6.19 tff(14917,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14918,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14919,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 8.52/6.19 tff(14920,plain,
% 8.52/6.19 (~node9(s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14919, 88, 14916])).
% 8.52/6.19 tff(14921,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14922,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14923,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 8.52/6.19 tff(14924,plain,
% 8.52/6.19 (~node10(s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14923, 249, 14916])).
% 8.52/6.19 tff(14925,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14926,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14927,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 8.52/6.19 tff(14928,plain,
% 8.52/6.19 (~node8(s183)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14927, 271, 14916])).
% 8.52/6.19 tff(14929,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14930,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14931,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 8.52/6.19 tff(14932,plain,
% 8.52/6.19 (node14(s183, s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14931, 46, 14863])).
% 8.52/6.19 tff(14933,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14934,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14935,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 8.52/6.19 tff(14936,plain,
% 8.52/6.19 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | m_main_v_state2(s184, c_c2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14935, 617, 14932])).
% 8.52/6.19 tff(14937,plain,
% 8.52/6.19 (m_main_v_state2(s184, c_c2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14936, 14928, 14800, 14856, 14924, 14920])).
% 8.52/6.19 tff(14938,plain,
% 8.52/6.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14939,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14940,plain,
% 8.52/6.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 8.52/6.19 tff(14941,plain,
% 8.52/6.19 (~m_main_v_state2(s184, c_n2)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14940, 697, 14937])).
% 8.52/6.19 tff(14942,plain,
% 8.52/6.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14943,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14944,plain,
% 8.52/6.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184))),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 8.52/6.19 tff(14945,plain,
% 8.52/6.19 (~node4(s184)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14944, 388, 14941])).
% 8.52/6.19 tff(14946,plain,
% 8.52/6.19 (succ(s184, s185) <=> succ(s184, s185)),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14947,axiom,(succ(s184, s185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound185')).
% 8.52/6.19 tff(14948,plain,
% 8.52/6.19 (succ(s184, s185)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 8.52/6.19 tff(14949,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14950,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14951,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 8.52/6.19 tff(14952,plain,
% 8.52/6.19 (trans(s184, s185)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14951, 14948, 32])).
% 8.52/6.19 tff(14953,plain,
% 8.52/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185))),
% 8.52/6.19 inference(rewrite,[status(thm)],[])).
% 8.52/6.19 tff(14954,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))),
% 8.52/6.19 inference(quant_inst,[status(thm)],[])).
% 8.52/6.19 tff(14955,plain,
% 8.52/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185)),
% 8.52/6.19 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 8.52/6.19 tff(14956,plain,
% 8.52/6.19 (node7(s184, s185)),
% 8.52/6.19 inference(unit_resolution,[status(thm)],[14955, 206, 14952])).
% 8.52/6.20 tff(14957,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14958,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14959,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 8.52/6.20 tff(14960,plain,
% 8.52/6.20 (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14959, 820, 14956])).
% 8.52/6.20 tff(14961,plain,
% 8.52/6.20 (node6(s184, s185)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14960, 14945, 14909, 14905, 14901, 14897, 14880])).
% 8.52/6.20 tff(14962,plain,
% 8.52/6.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14963,plain,
% 8.52/6.20 (((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1)) <=> ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14964,plain,
% 8.52/6.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))))),
% 8.52/6.20 inference(monotonicity,[status(thm)],[14963])).
% 8.52/6.20 tff(14965,plain,
% 8.52/6.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 8.52/6.20 inference(transitivity,[status(thm)],[14964, 14962])).
% 8.52/6.20 tff(14966,plain,
% 8.52/6.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14967,plain,
% 8.52/6.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 8.52/6.20 tff(14968,plain,
% 8.52/6.20 (m_main_v_state1(s185, c_t1)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14967, 856, 14872, 14961])).
% 8.52/6.20 tff(14969,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14970,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14971,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 8.52/6.20 tff(14972,plain,
% 8.52/6.20 (~m_main_v_state2(s184, c_t2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14971, 260, 14937])).
% 8.52/6.20 tff(14973,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14974,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14975,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 8.52/6.20 tff(14976,plain,
% 8.52/6.20 (~node12(s184)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14975, 633, 14972])).
% 8.52/6.20 tff(14977,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14978,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14979,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 8.52/6.20 tff(14980,plain,
% 8.52/6.20 (~node11(s184)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14979, 238, 14876])).
% 8.52/6.20 tff(14981,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14982,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14983,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 8.52/6.20 tff(14984,plain,
% 8.52/6.20 (~node10(s184)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14983, 675, 14909])).
% 8.52/6.20 tff(14985,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14986,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14987,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 8.52/6.20 tff(14988,plain,
% 8.52/6.20 (~node9(s184)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14987, 686, 14876])).
% 8.52/6.20 tff(14989,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14990,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14991,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 8.52/6.20 tff(14992,plain,
% 8.52/6.20 (~node8(s184)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14991, 271, 14941])).
% 8.52/6.20 tff(14993,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14994,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(14995,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 8.52/6.20 tff(14996,plain,
% 8.52/6.20 (node14(s184, s185)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[14995, 46, 14952])).
% 8.52/6.20 tff(14997,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14998,plain,
% 8.52/6.20 (((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2)) <=> (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(14999,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))))),
% 8.52/6.20 inference(monotonicity,[status(thm)],[14998])).
% 8.52/6.20 tff(15000,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 8.52/6.20 inference(transitivity,[status(thm)],[14999, 14997])).
% 8.52/6.20 tff(15001,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15002,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 8.52/6.20 tff(15003,plain,
% 8.52/6.20 (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~m_main_v_state2(s184, c_c2))),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15002, 726, 14996])).
% 8.52/6.20 tff(15004,plain,
% 8.52/6.20 (m_main_v_state2(s185, c_n2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15003, 14992, 14937, 14988, 14984, 14980, 14976])).
% 8.52/6.20 tff(15005,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15006,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15007,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 8.52/6.20 tff(15008,plain,
% 8.52/6.20 (~m_main_v_state2(s185, c_t2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15007, 77, 15004])).
% 8.52/6.20 tff(15009,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15010,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15011,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 8.52/6.20 tff(15012,plain,
% 8.52/6.20 (~node15(s185)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15011, 103, 15008])).
% 8.52/6.20 tff(15013,plain,
% 8.52/6.20 (succ(s185, s186) <=> succ(s185, s186)),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15014,axiom,(succ(s185, s186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound186')).
% 8.52/6.20 tff(15015,plain,
% 8.52/6.20 (succ(s185, s186)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 8.52/6.20 tff(15016,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15017,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15018,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 8.52/6.20 tff(15019,plain,
% 8.52/6.20 (trans(s185, s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15018, 15015, 32])).
% 8.52/6.20 tff(15020,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15021,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15022,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 8.52/6.20 tff(15023,plain,
% 8.52/6.20 (node18(s185, s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15022, 125, 15019])).
% 8.52/6.20 tff(15024,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15025,plain,
% 8.52/6.20 (((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1)) <=> (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15026,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)))),
% 8.52/6.20 inference(monotonicity,[status(thm)],[15025])).
% 8.52/6.20 tff(15027,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 8.52/6.20 inference(transitivity,[status(thm)],[15026, 15024])).
% 8.52/6.20 tff(15028,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15029,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15028, 15027])).
% 8.52/6.20 tff(15030,plain,
% 8.52/6.20 (node15(s185) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15029, 992, 15023])).
% 8.52/6.20 tff(15031,plain,
% 8.52/6.20 (m_main_v_turn(s186, c_1)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15030, 15012, 15004, 14968])).
% 8.52/6.20 tff(15032,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15033,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15034,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 8.52/6.20 tff(15035,plain,
% 8.52/6.20 (~m_main_v_turn(s186, c_2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15034, 156, 15031])).
% 8.52/6.20 tff(15036,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15037,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15038,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 8.52/6.20 tff(15039,plain,
% 8.52/6.20 (~node12(s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15038, 184, 15035])).
% 8.52/6.20 tff(15040,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15041,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15042,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 8.52/6.20 tff(15043,plain,
% 8.52/6.20 (node14(s185, s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15042, 46, 15019])).
% 8.52/6.20 tff(15044,plain,
% 8.52/6.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15045,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15046,plain,
% 8.52/6.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2)),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 8.52/6.20 tff(15047,plain,
% 8.52/6.20 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state2(s186, c_t2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15046, 922, 15043])).
% 8.52/6.20 tff(15048,plain,
% 8.52/6.20 (m_main_v_state2(s186, c_t2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15047, 14968, 15004])).
% 8.52/6.20 tff(15049,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15050,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15051,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 8.52/6.20 tff(15052,plain,
% 8.52/6.20 (~m_main_v_state2(s186, c_n2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15051, 77, 15048])).
% 8.52/6.20 tff(15053,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15054,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15055,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 8.52/6.20 tff(15056,plain,
% 8.52/6.20 (~node8(s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15055, 271, 15052])).
% 8.52/6.20 tff(15057,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15058,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15059,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15058, 15057])).
% 8.52/6.20 tff(15060,plain,
% 8.52/6.20 (~node9(s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15059, 88, 15052])).
% 8.52/6.20 tff(15061,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15062,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15063,plain,
% 8.52/6.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 8.52/6.20 tff(15064,plain,
% 8.52/6.20 (~node10(s186)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15063, 249, 15052])).
% 8.52/6.20 tff(15065,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15066,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15067,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 8.52/6.20 tff(15068,plain,
% 8.52/6.20 (~m_main_v_state2(s186, c_c2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15067, 260, 15048])).
% 8.52/6.20 tff(15069,plain,
% 8.52/6.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))),
% 8.52/6.20 inference(rewrite,[status(thm)],[])).
% 8.52/6.20 tff(15070,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))),
% 8.52/6.20 inference(quant_inst,[status(thm)],[])).
% 8.52/6.20 tff(15071,plain,
% 8.52/6.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2))),
% 8.52/6.20 inference(modus_ponens,[status(thm)],[15070, 15069])).
% 8.52/6.20 tff(15072,plain,
% 8.52/6.20 (~m_main_v_state2(s185, c_c2)),
% 8.52/6.20 inference(unit_resolution,[status(thm)],[15071, 697, 15004])).
% 8.52/6.20 tff(15073,plain,
% 8.52/6.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15074,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15075,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 8.52/6.21 tff(15076,plain,
% 8.52/6.21 (~node3(s185)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15075, 399, 15072])).
% 8.52/6.21 tff(15077,plain,
% 8.52/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15078,plain,
% 8.52/6.21 (((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1))) <=> (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15079,plain,
% 8.52/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))))),
% 8.52/6.21 inference(monotonicity,[status(thm)],[15078])).
% 8.52/6.21 tff(15080,plain,
% 8.52/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 8.52/6.21 inference(transitivity,[status(thm)],[15079, 15077])).
% 8.52/6.21 tff(15081,plain,
% 8.52/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15082,plain,
% 8.52/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 8.52/6.21 tff(15083,plain,
% 8.52/6.21 (~m_main_v_state1(s185, c_n1)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15082, 835, 14876, 14961])).
% 8.52/6.21 tff(15084,plain,
% 8.52/6.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15085,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15086,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15085, 15084])).
% 8.52/6.21 tff(15087,plain,
% 8.52/6.21 (~node2(s185)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15086, 787, 15083])).
% 8.52/6.21 tff(15088,plain,
% 8.52/6.21 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15089,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15090,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 8.52/6.21 tff(15091,plain,
% 8.52/6.21 (~node1(s185)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15090, 195, 15008])).
% 8.52/6.21 tff(15092,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15093,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15094,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186)),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 8.52/6.21 tff(15095,plain,
% 8.52/6.21 (node7(s185, s186)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15094, 206, 15019])).
% 8.52/6.21 tff(15096,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15097,plain,
% 8.52/6.21 (((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1)) <=> ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15098,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186))))),
% 8.52/6.21 inference(monotonicity,[status(thm)],[15097])).
% 8.52/6.21 tff(15099,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 8.52/6.21 inference(transitivity,[status(thm)],[15098, 15096])).
% 8.52/6.21 tff(15100,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15101,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 8.52/6.21 tff(15102,plain,
% 8.52/6.21 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15101, 892, 15095])).
% 8.52/6.21 tff(15103,plain,
% 8.52/6.21 (m_main_v_state1(s186, c_c1)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15102, 15091, 15004, 14968, 15087, 15076])).
% 8.52/6.21 tff(15104,plain,
% 8.52/6.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15105,plain,
% 8.52/6.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15106,plain,
% 8.52/6.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 8.52/6.21 tff(15107,plain,
% 8.52/6.21 (~m_main_v_state1(s186, c_n1)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15106, 454, 15103])).
% 8.52/6.21 tff(15108,plain,
% 8.52/6.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15109,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15110,plain,
% 8.52/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186))),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 8.52/6.21 tff(15111,plain,
% 8.52/6.21 (~node11(s186)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15110, 238, 15107])).
% 8.52/6.21 tff(15112,plain,
% 8.52/6.21 (succ(s186, s187) <=> succ(s186, s187)),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15113,axiom,(succ(s186, s187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound187')).
% 8.52/6.21 tff(15114,plain,
% 8.52/6.21 (succ(s186, s187)),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 8.52/6.21 tff(15115,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15116,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15117,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15116, 15115])).
% 8.52/6.21 tff(15118,plain,
% 8.52/6.21 (trans(s186, s187)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15117, 15114, 32])).
% 8.52/6.21 tff(15119,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187))),
% 8.52/6.21 inference(rewrite,[status(thm)],[])).
% 8.52/6.21 tff(15120,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))),
% 8.52/6.21 inference(quant_inst,[status(thm)],[])).
% 8.52/6.21 tff(15121,plain,
% 8.52/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187)),
% 8.52/6.21 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 8.52/6.21 tff(15122,plain,
% 8.52/6.21 (node14(s186, s187)),
% 8.52/6.21 inference(unit_resolution,[status(thm)],[15121, 46, 15118])).
% 8.52/6.21 tff(15123,plain,
% 8.52/6.21 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15124,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15125,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 8.58/6.21 tff(15126,plain,
% 8.58/6.21 (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15125, 296, 15122])).
% 8.58/6.21 tff(15127,plain,
% 8.58/6.21 (node13(s186, s187)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15126, 15111, 15068, 15064, 15060, 15056, 15039])).
% 8.58/6.21 tff(15128,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15129,plain,
% 8.58/6.21 (((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2))) <=> (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15130,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))))),
% 8.58/6.21 inference(monotonicity,[status(thm)],[15129])).
% 8.58/6.21 tff(15131,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 8.58/6.21 inference(transitivity,[status(thm)],[15130, 15128])).
% 8.58/6.21 tff(15132,plain,
% 8.58/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15133,plain,
% 8.58/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 8.58/6.21 tff(15134,plain,
% 8.58/6.21 (~m_main_v_state2(s187, c_n2)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15133, 311, 15052, 15127])).
% 8.58/6.21 tff(15135,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15136,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15137,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 8.58/6.21 tff(15138,plain,
% 8.58/6.21 (~node9(s187)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15137, 88, 15134])).
% 8.58/6.21 tff(15139,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15140,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15141,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 8.58/6.21 tff(15142,plain,
% 8.58/6.21 (~node10(s187)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15141, 249, 15134])).
% 8.58/6.21 tff(15143,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15144,plain,
% 8.58/6.21 (((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2)) <=> ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15145,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))))),
% 8.58/6.21 inference(monotonicity,[status(thm)],[15144])).
% 8.58/6.21 tff(15146,plain,
% 8.58/6.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 8.58/6.21 inference(transitivity,[status(thm)],[15145, 15143])).
% 8.58/6.21 tff(15147,plain,
% 8.58/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15148,plain,
% 8.58/6.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 8.58/6.21 tff(15149,plain,
% 8.58/6.21 (m_main_v_state2(s187, c_t2)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15148, 518, 15048, 15127])).
% 8.58/6.21 tff(15150,plain,
% 8.58/6.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15151,plain,
% 8.58/6.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15152,plain,
% 8.58/6.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 8.58/6.21 tff(15153,plain,
% 8.58/6.21 (~m_main_v_state1(s186, c_t1)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15152, 539, 15103])).
% 8.58/6.21 tff(15154,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15155,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15156,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 8.58/6.21 tff(15157,plain,
% 8.58/6.21 (~node5(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15156, 550, 15153])).
% 8.58/6.21 tff(15158,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15159,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15160,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 8.58/6.21 tff(15161,plain,
% 8.58/6.21 (~node4(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15160, 388, 15052])).
% 8.58/6.21 tff(15162,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15163,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15164,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15163, 15162])).
% 8.58/6.21 tff(15165,plain,
% 8.58/6.21 (~node3(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15164, 399, 15068])).
% 8.58/6.21 tff(15166,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15167,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15168,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 8.58/6.21 tff(15169,plain,
% 8.58/6.21 (~node2(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15168, 410, 15052])).
% 8.58/6.21 tff(15170,plain,
% 8.58/6.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15171,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15172,plain,
% 8.58/6.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 8.58/6.21 tff(15173,plain,
% 8.58/6.21 (~node1(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15172, 421, 15107])).
% 8.58/6.21 tff(15174,plain,
% 8.58/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15175,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15176,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187)),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 8.58/6.21 tff(15177,plain,
% 8.58/6.21 (node7(s186, s187)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15176, 206, 15118])).
% 8.58/6.21 tff(15178,plain,
% 8.58/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15179,plain,
% 8.58/6.21 (((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1)) <=> (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 8.58/6.21 inference(rewrite,[status(thm)],[])).
% 8.58/6.21 tff(15180,plain,
% 8.58/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))))),
% 8.58/6.21 inference(monotonicity,[status(thm)],[15179])).
% 8.58/6.21 tff(15181,plain,
% 8.58/6.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 8.58/6.21 inference(transitivity,[status(thm)],[15180, 15178])).
% 8.58/6.21 tff(15182,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))),
% 8.58/6.21 inference(quant_inst,[status(thm)],[])).
% 8.58/6.21 tff(15183,plain,
% 8.58/6.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))),
% 8.58/6.21 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 8.58/6.21 tff(15184,plain,
% 8.58/6.21 (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186)),
% 8.58/6.21 inference(unit_resolution,[status(thm)],[15183, 584, 15177])).
% 8.58/6.21 tff(15185,plain,
% 8.58/6.21 (m_main_v_state1(s187, c_n1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15184, 15173, 15103, 15169, 15165, 15161, 15157])).
% 8.58/6.22 tff(15186,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15187,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15188,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 8.58/6.22 tff(15189,plain,
% 8.58/6.22 (~node8(s187)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15188, 271, 15134])).
% 8.58/6.22 tff(15190,plain,
% 8.58/6.22 (succ(s187, s188) <=> succ(s187, s188)),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15191,axiom,(succ(s187, s188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound188')).
% 8.58/6.22 tff(15192,plain,
% 8.58/6.22 (succ(s187, s188)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 8.58/6.22 tff(15193,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15194,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15195,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 8.58/6.22 tff(15196,plain,
% 8.58/6.22 (trans(s187, s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15195, 15192, 32])).
% 8.58/6.22 tff(15197,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15198,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15199,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 8.58/6.22 tff(15200,plain,
% 8.58/6.22 (node14(s187, s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15199, 46, 15196])).
% 8.58/6.22 tff(15201,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15202,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15203,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 8.58/6.22 tff(15204,plain,
% 8.58/6.22 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | m_main_v_state2(s188, c_c2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15203, 617, 15200])).
% 8.58/6.22 tff(15205,plain,
% 8.58/6.22 (m_main_v_state2(s188, c_c2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15204, 15189, 15185, 15149, 15142, 15138])).
% 8.58/6.22 tff(15206,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15207,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15208,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 8.58/6.22 tff(15209,plain,
% 8.58/6.22 (~m_main_v_state2(s188, c_t2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15208, 260, 15205])).
% 8.58/6.22 tff(15210,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15211,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15212,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 8.58/6.22 tff(15213,plain,
% 8.58/6.22 (~node12(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15212, 633, 15209])).
% 8.58/6.22 tff(15214,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15215,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15216,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15215, 15214])).
% 8.58/6.22 tff(15217,plain,
% 8.58/6.22 (node7(s187, s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15216, 206, 15196])).
% 8.58/6.22 tff(15218,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15219,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15220,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 8.58/6.22 tff(15221,plain,
% 8.58/6.22 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_state1(s188, c_t1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15220, 651, 15217])).
% 8.58/6.22 tff(15222,plain,
% 8.58/6.22 (m_main_v_state1(s188, c_t1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15221, 15149, 15185])).
% 8.58/6.22 tff(15223,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15224,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15225,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 8.58/6.22 tff(15226,plain,
% 8.58/6.22 (~m_main_v_state1(s188, c_n1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15225, 10, 15222])).
% 8.58/6.22 tff(15227,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15228,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15229,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 8.58/6.22 tff(15230,plain,
% 8.58/6.22 (~node11(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15229, 238, 15226])).
% 8.58/6.22 tff(15231,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15232,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15233,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 8.58/6.22 tff(15234,plain,
% 8.58/6.22 (~m_main_v_state1(s188, c_c1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15233, 539, 15222])).
% 8.58/6.22 tff(15235,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15236,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15237,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 8.58/6.22 tff(15238,plain,
% 8.58/6.22 (~node10(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15237, 675, 15234])).
% 8.58/6.22 tff(15239,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15240,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15241,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 8.58/6.22 tff(15242,plain,
% 8.58/6.22 (~node9(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15241, 686, 15226])).
% 8.58/6.22 tff(15243,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15244,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15245,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 8.58/6.22 tff(15246,plain,
% 8.58/6.22 (~m_main_v_state2(s188, c_n2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15245, 697, 15205])).
% 8.58/6.22 tff(15247,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15248,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15249,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 8.58/6.22 tff(15250,plain,
% 8.58/6.22 (~node8(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15249, 271, 15246])).
% 8.58/6.22 tff(15251,plain,
% 8.58/6.22 (succ(s188, s189) <=> succ(s188, s189)),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15252,axiom,(succ(s188, s189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound189')).
% 8.58/6.22 tff(15253,plain,
% 8.58/6.22 (succ(s188, s189)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 8.58/6.22 tff(15254,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15255,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15256,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 8.58/6.22 tff(15257,plain,
% 8.58/6.22 (trans(s188, s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15256, 15253, 32])).
% 8.58/6.22 tff(15258,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15259,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15260,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 8.58/6.22 tff(15261,plain,
% 8.58/6.22 (node14(s188, s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15260, 46, 15257])).
% 8.58/6.22 tff(15262,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15263,plain,
% 8.58/6.22 (((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2)) <=> (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15264,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))))),
% 8.58/6.22 inference(monotonicity,[status(thm)],[15263])).
% 8.58/6.22 tff(15265,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 8.58/6.22 inference(transitivity,[status(thm)],[15264, 15262])).
% 8.58/6.22 tff(15266,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15267,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 8.58/6.22 tff(15268,plain,
% 8.58/6.22 (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~m_main_v_state2(s188, c_c2))),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15267, 726, 15261])).
% 8.58/6.22 tff(15269,plain,
% 8.58/6.22 (m_main_v_state2(s189, c_n2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15268, 15250, 15205, 15242, 15238, 15230, 15213])).
% 8.58/6.22 tff(15270,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15271,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15272,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 8.58/6.22 tff(15273,plain,
% 8.58/6.22 (~m_main_v_state2(s189, c_c2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15272, 697, 15269])).
% 8.58/6.22 tff(15274,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15275,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15276,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 8.58/6.22 tff(15277,plain,
% 8.58/6.22 (~node3(s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15276, 399, 15273])).
% 8.58/6.22 tff(15278,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15279,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15280,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15279, 15278])).
% 8.58/6.22 tff(15281,plain,
% 8.58/6.22 (~node1(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15280, 421, 15226])).
% 8.58/6.22 tff(15282,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15283,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15284,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15283, 15282])).
% 8.58/6.22 tff(15285,plain,
% 8.58/6.22 (node18(s187, s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15284, 125, 15196])).
% 8.58/6.22 tff(15286,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15287,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15288,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 8.58/6.22 tff(15289,plain,
% 8.58/6.22 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_turn(s188, c_2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15288, 760, 15285])).
% 8.58/6.22 tff(15290,plain,
% 8.58/6.22 (m_main_v_turn(s188, c_2)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15289, 15149, 15185])).
% 8.58/6.22 tff(15291,plain,
% 8.58/6.22 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15292,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15293,plain,
% 8.58/6.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 8.58/6.22 tff(15294,plain,
% 8.58/6.22 (~m_main_v_turn(s188, c_1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15293, 156, 15290])).
% 8.58/6.22 tff(15295,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15296,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15297,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 8.58/6.22 tff(15298,plain,
% 8.58/6.22 (~node5(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15297, 776, 15294])).
% 8.58/6.22 tff(15299,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15300,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15301,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 8.58/6.22 tff(15302,plain,
% 8.58/6.22 (~node2(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15301, 787, 15226])).
% 8.58/6.22 tff(15303,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15304,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15305,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 8.58/6.22 tff(15306,plain,
% 8.58/6.22 (~node3(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15305, 798, 15226])).
% 8.58/6.22 tff(15307,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15308,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15309,plain,
% 8.58/6.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 8.58/6.22 tff(15310,plain,
% 8.58/6.22 (~node4(s188)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15309, 388, 15246])).
% 8.58/6.22 tff(15311,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15312,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15313,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189)),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 8.58/6.22 tff(15314,plain,
% 8.58/6.22 (node7(s188, s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15313, 206, 15257])).
% 8.58/6.22 tff(15315,plain,
% 8.58/6.22 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15316,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15317,plain,
% 8.58/6.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 8.58/6.22 tff(15318,plain,
% 8.58/6.22 (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15317, 820, 15314])).
% 8.58/6.22 tff(15319,plain,
% 8.58/6.22 (node6(s188, s189)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15318, 15310, 15234, 15306, 15302, 15298, 15281])).
% 8.58/6.22 tff(15320,plain,
% 8.58/6.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15321,plain,
% 8.58/6.22 (((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1))) <=> (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 8.58/6.22 inference(rewrite,[status(thm)],[])).
% 8.58/6.22 tff(15322,plain,
% 8.58/6.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))))),
% 8.58/6.22 inference(monotonicity,[status(thm)],[15321])).
% 8.58/6.22 tff(15323,plain,
% 8.58/6.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 8.58/6.22 inference(transitivity,[status(thm)],[15322, 15320])).
% 8.58/6.22 tff(15324,plain,
% 8.58/6.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))),
% 8.58/6.22 inference(quant_inst,[status(thm)],[])).
% 8.58/6.22 tff(15325,plain,
% 8.58/6.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))),
% 8.58/6.22 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 8.58/6.22 tff(15326,plain,
% 8.58/6.22 (~m_main_v_state1(s189, c_n1)),
% 8.58/6.22 inference(unit_resolution,[status(thm)],[15325, 835, 15226, 15319])).
% 8.58/6.22 tff(15327,plain,
% 8.58/6.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15328,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15329,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 8.58/6.23 tff(15330,plain,
% 8.58/6.23 (~node2(s189)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15329, 787, 15326])).
% 8.58/6.23 tff(15331,plain,
% 8.58/6.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15332,plain,
% 8.58/6.23 (((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1)) <=> ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15333,plain,
% 8.58/6.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))))),
% 8.58/6.23 inference(monotonicity,[status(thm)],[15332])).
% 8.58/6.23 tff(15334,plain,
% 8.58/6.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 8.58/6.23 inference(transitivity,[status(thm)],[15333, 15331])).
% 8.58/6.23 tff(15335,plain,
% 8.58/6.23 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15336,plain,
% 8.58/6.23 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 8.58/6.23 tff(15337,plain,
% 8.58/6.23 (m_main_v_state1(s189, c_t1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15336, 856, 15222, 15319])).
% 8.58/6.23 tff(15338,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15339,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15340,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 8.58/6.23 tff(15341,plain,
% 8.58/6.23 (~m_main_v_state2(s189, c_t2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15340, 77, 15269])).
% 8.58/6.23 tff(15342,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15343,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15344,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15343, 15342])).
% 8.58/6.23 tff(15345,plain,
% 8.58/6.23 (~node1(s189)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15344, 195, 15341])).
% 8.58/6.23 tff(15346,plain,
% 8.58/6.23 (succ(s189, s190) <=> succ(s189, s190)),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15347,axiom,(succ(s189, s190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound190')).
% 8.58/6.23 tff(15348,plain,
% 8.58/6.23 (succ(s189, s190)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 8.58/6.23 tff(15349,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15350,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15351,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 8.58/6.23 tff(15352,plain,
% 8.58/6.23 (trans(s189, s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15351, 15348, 32])).
% 8.58/6.23 tff(15353,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15354,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15355,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 8.58/6.23 tff(15356,plain,
% 8.58/6.23 (node7(s189, s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15355, 206, 15352])).
% 8.58/6.23 tff(15357,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15358,plain,
% 8.58/6.23 (((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1)) <=> ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15359,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190))))),
% 8.58/6.23 inference(monotonicity,[status(thm)],[15358])).
% 8.58/6.23 tff(15360,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 8.58/6.23 inference(transitivity,[status(thm)],[15359, 15357])).
% 8.58/6.23 tff(15361,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15362,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 8.58/6.23 tff(15363,plain,
% 8.58/6.23 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15362, 892, 15356])).
% 8.58/6.23 tff(15364,plain,
% 8.58/6.23 (m_main_v_state1(s190, c_c1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15363, 15345, 15269, 15337, 15330, 15277])).
% 8.58/6.23 tff(15365,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15366,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15367,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15366, 15365])).
% 8.58/6.23 tff(15368,plain,
% 8.58/6.23 (~m_main_v_state1(s190, c_t1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15367, 539, 15364])).
% 8.58/6.23 tff(15369,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15370,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15371,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 8.58/6.23 tff(15372,plain,
% 8.58/6.23 (~node5(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15371, 550, 15368])).
% 8.58/6.23 tff(15373,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15374,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15375,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 8.58/6.23 tff(15376,plain,
% 8.58/6.23 (node14(s189, s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15375, 46, 15352])).
% 8.58/6.23 tff(15377,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15378,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15379,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 8.58/6.23 tff(15380,plain,
% 8.58/6.23 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state2(s190, c_t2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15379, 922, 15376])).
% 8.58/6.23 tff(15381,plain,
% 8.58/6.23 (m_main_v_state2(s190, c_t2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15380, 15337, 15269])).
% 8.58/6.23 tff(15382,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15383,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15384,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 8.58/6.23 tff(15385,plain,
% 8.58/6.23 (~m_main_v_state2(s190, c_n2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15384, 77, 15381])).
% 8.58/6.23 tff(15386,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15387,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15388,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 8.58/6.23 tff(15389,plain,
% 8.58/6.23 (~node4(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15388, 388, 15385])).
% 8.58/6.23 tff(15390,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15391,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15392,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15391, 15390])).
% 8.58/6.23 tff(15393,plain,
% 8.58/6.23 (~m_main_v_state2(s190, c_c2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15392, 260, 15381])).
% 8.58/6.23 tff(15394,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15395,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15396,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 8.58/6.23 tff(15397,plain,
% 8.58/6.23 (~node3(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15396, 399, 15393])).
% 8.58/6.23 tff(15398,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15399,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15400,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 8.58/6.23 tff(15401,plain,
% 8.58/6.23 (~node2(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15400, 410, 15385])).
% 8.58/6.23 tff(15402,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15403,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15404,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 8.58/6.23 tff(15405,plain,
% 8.58/6.23 (~m_main_v_state1(s190, c_n1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15404, 454, 15364])).
% 8.58/6.23 tff(15406,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15407,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15408,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 8.58/6.23 tff(15409,plain,
% 8.58/6.23 (~node1(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15408, 421, 15405])).
% 8.58/6.23 tff(15410,plain,
% 8.58/6.23 (succ(s190, s191) <=> succ(s190, s191)),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15411,axiom,(succ(s190, s191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound191')).
% 8.58/6.23 tff(15412,plain,
% 8.58/6.23 (succ(s190, s191)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15411, 15410])).
% 8.58/6.23 tff(15413,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15414,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15415,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 8.58/6.23 tff(15416,plain,
% 8.58/6.23 (trans(s190, s191)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15415, 15412, 32])).
% 8.58/6.23 tff(15417,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15418,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15419,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 8.58/6.23 tff(15420,plain,
% 8.58/6.23 (node7(s190, s191)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15419, 206, 15416])).
% 8.58/6.23 tff(15421,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15422,plain,
% 8.58/6.23 (((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1)) <=> (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15423,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))))),
% 8.58/6.23 inference(monotonicity,[status(thm)],[15422])).
% 8.58/6.23 tff(15424,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 8.58/6.23 inference(transitivity,[status(thm)],[15423, 15421])).
% 8.58/6.23 tff(15425,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15426,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 8.58/6.23 tff(15427,plain,
% 8.58/6.23 (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15426, 584, 15420])).
% 8.58/6.23 tff(15428,plain,
% 8.58/6.23 (m_main_v_state1(s191, c_n1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15427, 15409, 15364, 15401, 15397, 15389, 15372])).
% 8.58/6.23 tff(15429,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15430,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15431,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 8.58/6.23 tff(15432,plain,
% 8.58/6.23 (~node15(s189)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15431, 103, 15341])).
% 8.58/6.23 tff(15433,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15434,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15435,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 8.58/6.23 tff(15436,plain,
% 8.58/6.23 (node18(s189, s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15435, 125, 15352])).
% 8.58/6.23 tff(15437,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15438,plain,
% 8.58/6.23 (((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1)) <=> (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15439,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)))),
% 8.58/6.23 inference(monotonicity,[status(thm)],[15438])).
% 8.58/6.23 tff(15440,plain,
% 8.58/6.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 8.58/6.23 inference(transitivity,[status(thm)],[15439, 15437])).
% 8.58/6.23 tff(15441,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15442,plain,
% 8.58/6.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 8.58/6.23 tff(15443,plain,
% 8.58/6.23 (node15(s189) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15442, 992, 15436])).
% 8.58/6.23 tff(15444,plain,
% 8.58/6.23 (m_main_v_turn(s190, c_1)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15443, 15432, 15269, 15337])).
% 8.58/6.23 tff(15445,plain,
% 8.58/6.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15446,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15447,plain,
% 8.58/6.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 8.58/6.23 tff(15448,plain,
% 8.58/6.23 (~m_main_v_turn(s190, c_2)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15447, 156, 15444])).
% 8.58/6.23 tff(15449,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15450,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15451,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 8.58/6.23 tff(15452,plain,
% 8.58/6.23 (~node12(s190)),
% 8.58/6.23 inference(unit_resolution,[status(thm)],[15451, 184, 15448])).
% 8.58/6.23 tff(15453,plain,
% 8.58/6.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 8.58/6.23 inference(rewrite,[status(thm)],[])).
% 8.58/6.23 tff(15454,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 8.58/6.23 inference(quant_inst,[status(thm)],[])).
% 8.58/6.23 tff(15455,plain,
% 8.58/6.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190))),
% 8.58/6.23 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 8.58/6.24 tff(15456,plain,
% 8.58/6.24 (~node8(s190)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15455, 271, 15385])).
% 8.58/6.24 tff(15457,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15458,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15459,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 8.58/6.24 tff(15460,plain,
% 8.58/6.24 (~node9(s190)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15459, 88, 15385])).
% 8.58/6.24 tff(15461,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15462,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15463,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 8.58/6.24 tff(15464,plain,
% 8.58/6.24 (~node10(s190)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15463, 249, 15385])).
% 8.58/6.24 tff(15465,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15466,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15467,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 8.58/6.24 tff(15468,plain,
% 8.58/6.24 (~node11(s190)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15467, 238, 15405])).
% 8.58/6.24 tff(15469,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15470,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15471,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 8.58/6.24 tff(15472,plain,
% 8.58/6.24 (node14(s190, s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15471, 46, 15416])).
% 8.58/6.24 tff(15473,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15474,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15475,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 8.58/6.24 tff(15476,plain,
% 8.58/6.24 (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15475, 296, 15472])).
% 8.58/6.24 tff(15477,plain,
% 8.58/6.24 (node13(s190, s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15476, 15468, 15393, 15464, 15460, 15456, 15452])).
% 8.58/6.24 tff(15478,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15479,plain,
% 8.58/6.24 (((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2)) <=> ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15480,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191))))),
% 8.58/6.24 inference(monotonicity,[status(thm)],[15479])).
% 8.58/6.24 tff(15481,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 8.58/6.24 inference(transitivity,[status(thm)],[15480, 15478])).
% 8.58/6.24 tff(15482,plain,
% 8.58/6.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15483,plain,
% 8.58/6.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 8.58/6.24 tff(15484,plain,
% 8.58/6.24 (m_main_v_state2(s191, c_t2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15483, 518, 15381, 15477])).
% 8.58/6.24 tff(15485,plain,
% 8.58/6.24 (succ(s191, s192) <=> succ(s191, s192)),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15486,axiom,(succ(s191, s192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound192')).
% 8.58/6.24 tff(15487,plain,
% 8.58/6.24 (succ(s191, s192)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 8.58/6.24 tff(15488,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15489,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15490,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 8.58/6.24 tff(15491,plain,
% 8.58/6.24 (trans(s191, s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15490, 15487, 32])).
% 8.58/6.24 tff(15492,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15493,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15494,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 8.58/6.24 tff(15495,plain,
% 8.58/6.24 (node7(s191, s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15494, 206, 15491])).
% 8.58/6.24 tff(15496,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15497,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15498,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 8.58/6.24 tff(15499,plain,
% 8.58/6.24 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_state1(s192, c_t1)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15498, 651, 15495])).
% 8.58/6.24 tff(15500,plain,
% 8.58/6.24 (m_main_v_state1(s192, c_t1)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15499, 15484, 15428])).
% 8.58/6.24 tff(15501,plain,
% 8.58/6.24 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15502,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15503,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15502, 15501])).
% 8.58/6.24 tff(15504,plain,
% 8.58/6.24 (~m_main_v_state1(s192, c_n1)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15503, 10, 15500])).
% 8.58/6.24 tff(15505,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15506,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15507,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 8.58/6.24 tff(15508,plain,
% 8.58/6.24 (~node1(s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15507, 421, 15504])).
% 8.58/6.24 tff(15509,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15510,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15511,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 8.58/6.24 tff(15512,plain,
% 8.58/6.24 (node18(s191, s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15511, 125, 15491])).
% 8.58/6.24 tff(15513,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15514,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15515,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 8.58/6.24 tff(15516,plain,
% 8.58/6.24 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_turn(s192, c_2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15515, 760, 15512])).
% 8.58/6.24 tff(15517,plain,
% 8.58/6.24 (m_main_v_turn(s192, c_2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15516, 15484, 15428])).
% 8.58/6.24 tff(15518,plain,
% 8.58/6.24 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15519,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15520,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 8.58/6.24 tff(15521,plain,
% 8.58/6.24 (~m_main_v_turn(s192, c_1)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15520, 156, 15517])).
% 8.58/6.24 tff(15522,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15523,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15524,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15523, 15522])).
% 8.58/6.24 tff(15525,plain,
% 8.58/6.24 (~node5(s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15524, 776, 15521])).
% 8.58/6.24 tff(15526,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15527,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15528,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15527, 15526])).
% 8.58/6.24 tff(15529,plain,
% 8.58/6.24 (~node2(s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15528, 787, 15504])).
% 8.58/6.24 tff(15530,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15531,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15532,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 8.58/6.24 tff(15533,plain,
% 8.58/6.24 (~node3(s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15532, 798, 15504])).
% 8.58/6.24 tff(15534,plain,
% 8.58/6.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15535,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15536,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 8.58/6.24 tff(15537,plain,
% 8.58/6.24 (~m_main_v_state1(s192, c_c1)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15536, 539, 15500])).
% 8.58/6.24 tff(15538,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15539,plain,
% 8.58/6.24 (((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2))) <=> (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15540,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191))))),
% 8.58/6.24 inference(monotonicity,[status(thm)],[15539])).
% 8.58/6.24 tff(15541,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 8.58/6.24 inference(transitivity,[status(thm)],[15540, 15538])).
% 8.58/6.24 tff(15542,plain,
% 8.58/6.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15543,plain,
% 8.58/6.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 8.58/6.24 tff(15544,plain,
% 8.58/6.24 (~m_main_v_state2(s191, c_n2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15543, 311, 15385, 15477])).
% 8.58/6.24 tff(15545,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15546,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15547,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 8.58/6.24 tff(15548,plain,
% 8.58/6.24 (~node9(s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15547, 88, 15544])).
% 8.58/6.24 tff(15549,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15550,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15551,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15550, 15549])).
% 8.58/6.24 tff(15552,plain,
% 8.58/6.24 (~node10(s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15551, 249, 15544])).
% 8.58/6.24 tff(15553,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15554,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15555,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 8.58/6.24 tff(15556,plain,
% 8.58/6.24 (~node8(s191)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15555, 271, 15544])).
% 8.58/6.24 tff(15557,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15558,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15559,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 8.58/6.24 tff(15560,plain,
% 8.58/6.24 (node14(s191, s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15559, 46, 15491])).
% 8.58/6.24 tff(15561,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15562,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15563,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 8.58/6.24 tff(15564,plain,
% 8.58/6.24 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | m_main_v_state2(s192, c_c2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15563, 617, 15560])).
% 8.58/6.24 tff(15565,plain,
% 8.58/6.24 (m_main_v_state2(s192, c_c2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15564, 15556, 15428, 15484, 15552, 15548])).
% 8.58/6.24 tff(15566,plain,
% 8.58/6.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15567,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15568,plain,
% 8.58/6.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 8.58/6.24 tff(15569,plain,
% 8.58/6.24 (~m_main_v_state2(s192, c_n2)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15568, 697, 15565])).
% 8.58/6.24 tff(15570,plain,
% 8.58/6.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15571,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15572,plain,
% 8.58/6.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 8.58/6.24 tff(15573,plain,
% 8.58/6.24 (~node4(s192)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15572, 388, 15569])).
% 8.58/6.24 tff(15574,plain,
% 8.58/6.24 (succ(s192, s193) <=> succ(s192, s193)),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15575,axiom,(succ(s192, s193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound193')).
% 8.58/6.24 tff(15576,plain,
% 8.58/6.24 (succ(s192, s193)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 8.58/6.24 tff(15577,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15578,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15579,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 8.58/6.24 tff(15580,plain,
% 8.58/6.24 (trans(s192, s193)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15579, 15576, 32])).
% 8.58/6.24 tff(15581,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15582,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15583,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193)),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 8.58/6.24 tff(15584,plain,
% 8.58/6.24 (node7(s192, s193)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15583, 206, 15580])).
% 8.58/6.24 tff(15585,plain,
% 8.58/6.24 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 8.58/6.24 inference(rewrite,[status(thm)],[])).
% 8.58/6.24 tff(15586,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 8.58/6.24 inference(quant_inst,[status(thm)],[])).
% 8.58/6.24 tff(15587,plain,
% 8.58/6.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193))),
% 8.58/6.24 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 8.58/6.24 tff(15588,plain,
% 8.58/6.24 (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15587, 820, 15584])).
% 8.58/6.24 tff(15589,plain,
% 8.58/6.24 (node6(s192, s193)),
% 8.58/6.24 inference(unit_resolution,[status(thm)],[15588, 15573, 15537, 15533, 15529, 15525, 15508])).
% 8.58/6.24 tff(15590,plain,
% 8.58/6.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15591,plain,
% 8.58/6.25 (((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1)) <=> ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15592,plain,
% 8.58/6.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))))),
% 8.58/6.25 inference(monotonicity,[status(thm)],[15591])).
% 8.58/6.25 tff(15593,plain,
% 8.58/6.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 8.58/6.25 inference(transitivity,[status(thm)],[15592, 15590])).
% 8.58/6.25 tff(15594,plain,
% 8.58/6.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15595,plain,
% 8.58/6.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 8.58/6.25 tff(15596,plain,
% 8.58/6.25 (m_main_v_state1(s193, c_t1)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15595, 856, 15500, 15589])).
% 8.58/6.25 tff(15597,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15598,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15599,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 8.58/6.25 tff(15600,plain,
% 8.58/6.25 (~m_main_v_state2(s192, c_t2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15599, 260, 15565])).
% 8.58/6.25 tff(15601,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15602,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15603,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 8.58/6.25 tff(15604,plain,
% 8.58/6.25 (~node12(s192)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15603, 633, 15600])).
% 8.58/6.25 tff(15605,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15606,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15607,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15606, 15605])).
% 8.58/6.25 tff(15608,plain,
% 8.58/6.25 (~node11(s192)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15607, 238, 15504])).
% 8.58/6.25 tff(15609,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15610,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15611,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 8.58/6.25 tff(15612,plain,
% 8.58/6.25 (~node10(s192)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15611, 675, 15537])).
% 8.58/6.25 tff(15613,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15614,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15615,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 8.58/6.25 tff(15616,plain,
% 8.58/6.25 (~node9(s192)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15615, 686, 15504])).
% 8.58/6.25 tff(15617,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15618,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15619,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 8.58/6.25 tff(15620,plain,
% 8.58/6.25 (~node8(s192)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15619, 271, 15569])).
% 8.58/6.25 tff(15621,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15622,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15623,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 8.58/6.25 tff(15624,plain,
% 8.58/6.25 (node14(s192, s193)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15623, 46, 15580])).
% 8.58/6.25 tff(15625,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15626,plain,
% 8.58/6.25 (((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2)) <=> (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15627,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2))))),
% 8.58/6.25 inference(monotonicity,[status(thm)],[15626])).
% 8.58/6.25 tff(15628,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 8.58/6.25 inference(transitivity,[status(thm)],[15627, 15625])).
% 8.58/6.25 tff(15629,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15630,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 8.58/6.25 tff(15631,plain,
% 8.58/6.25 (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~m_main_v_state2(s192, c_c2))),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15630, 726, 15624])).
% 8.58/6.25 tff(15632,plain,
% 8.58/6.25 (m_main_v_state2(s193, c_n2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15631, 15620, 15565, 15616, 15612, 15608, 15604])).
% 8.58/6.25 tff(15633,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15634,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15635,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 8.58/6.25 tff(15636,plain,
% 8.58/6.25 (~m_main_v_state2(s193, c_t2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15635, 77, 15632])).
% 8.58/6.25 tff(15637,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15638,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15639,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15638, 15637])).
% 8.58/6.25 tff(15640,plain,
% 8.58/6.25 (~node15(s193)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15639, 103, 15636])).
% 8.58/6.25 tff(15641,plain,
% 8.58/6.25 (succ(s193, s194) <=> succ(s193, s194)),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15642,axiom,(succ(s193, s194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound194')).
% 8.58/6.25 tff(15643,plain,
% 8.58/6.25 (succ(s193, s194)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 8.58/6.25 tff(15644,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15645,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15646,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 8.58/6.25 tff(15647,plain,
% 8.58/6.25 (trans(s193, s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15646, 15643, 32])).
% 8.58/6.25 tff(15648,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15649,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15650,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 8.58/6.25 tff(15651,plain,
% 8.58/6.25 (node18(s193, s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15650, 125, 15647])).
% 8.58/6.25 tff(15652,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15653,plain,
% 8.58/6.25 (((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1)) <=> (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15654,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)))),
% 8.58/6.25 inference(monotonicity,[status(thm)],[15653])).
% 8.58/6.25 tff(15655,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 8.58/6.25 inference(transitivity,[status(thm)],[15654, 15652])).
% 8.58/6.25 tff(15656,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15657,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 8.58/6.25 tff(15658,plain,
% 8.58/6.25 (node15(s193) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15657, 992, 15651])).
% 8.58/6.25 tff(15659,plain,
% 8.58/6.25 (m_main_v_turn(s194, c_1)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15658, 15640, 15632, 15596])).
% 8.58/6.25 tff(15660,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15661,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15662,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 8.58/6.25 tff(15663,plain,
% 8.58/6.25 (~m_main_v_turn(s194, c_2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15662, 156, 15659])).
% 8.58/6.25 tff(15664,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15665,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15666,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15665, 15664])).
% 8.58/6.25 tff(15667,plain,
% 8.58/6.25 (~node12(s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15666, 184, 15663])).
% 8.58/6.25 tff(15668,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15669,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15670,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 8.58/6.25 tff(15671,plain,
% 8.58/6.25 (node14(s193, s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15670, 46, 15647])).
% 8.58/6.25 tff(15672,plain,
% 8.58/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15673,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15674,plain,
% 8.58/6.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2)),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 8.58/6.25 tff(15675,plain,
% 8.58/6.25 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state2(s194, c_t2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15674, 922, 15671])).
% 8.58/6.25 tff(15676,plain,
% 8.58/6.25 (m_main_v_state2(s194, c_t2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15675, 15596, 15632])).
% 8.58/6.25 tff(15677,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15678,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15679,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 8.58/6.25 tff(15680,plain,
% 8.58/6.25 (~m_main_v_state2(s194, c_n2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15679, 77, 15676])).
% 8.58/6.25 tff(15681,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15682,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15683,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 8.58/6.25 tff(15684,plain,
% 8.58/6.25 (~node8(s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15683, 271, 15680])).
% 8.58/6.25 tff(15685,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15686,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15687,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15686, 15685])).
% 8.58/6.25 tff(15688,plain,
% 8.58/6.25 (~node9(s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15687, 88, 15680])).
% 8.58/6.25 tff(15689,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15690,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15691,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 8.58/6.25 tff(15692,plain,
% 8.58/6.25 (~node10(s194)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15691, 249, 15680])).
% 8.58/6.25 tff(15693,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15694,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15695,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15694, 15693])).
% 8.58/6.25 tff(15696,plain,
% 8.58/6.25 (~m_main_v_state2(s194, c_c2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15695, 260, 15676])).
% 8.58/6.25 tff(15697,plain,
% 8.58/6.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15698,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15699,plain,
% 8.58/6.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 8.58/6.25 tff(15700,plain,
% 8.58/6.25 (~m_main_v_state2(s193, c_c2)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15699, 697, 15632])).
% 8.58/6.25 tff(15701,plain,
% 8.58/6.25 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15702,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 8.58/6.25 inference(quant_inst,[status(thm)],[])).
% 8.58/6.25 tff(15703,plain,
% 8.58/6.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193))),
% 8.58/6.25 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 8.58/6.25 tff(15704,plain,
% 8.58/6.25 (~node3(s193)),
% 8.58/6.25 inference(unit_resolution,[status(thm)],[15703, 399, 15700])).
% 8.58/6.25 tff(15705,plain,
% 8.58/6.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 8.58/6.25 inference(rewrite,[status(thm)],[])).
% 8.58/6.25 tff(15706,plain,
% 8.58/6.25 (((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1))) <=> (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 8.62/6.25 inference(rewrite,[status(thm)],[])).
% 8.62/6.25 tff(15707,plain,
% 8.62/6.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))))),
% 8.62/6.25 inference(monotonicity,[status(thm)],[15706])).
% 8.62/6.25 tff(15708,plain,
% 8.62/6.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 8.62/6.25 inference(transitivity,[status(thm)],[15707, 15705])).
% 8.62/6.25 tff(15709,plain,
% 8.62/6.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))),
% 8.62/6.25 inference(quant_inst,[status(thm)],[])).
% 8.62/6.25 tff(15710,plain,
% 8.62/6.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))),
% 8.62/6.25 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 8.62/6.25 tff(15711,plain,
% 8.62/6.25 (~m_main_v_state1(s193, c_n1)),
% 8.62/6.25 inference(unit_resolution,[status(thm)],[15710, 835, 15504, 15589])).
% 8.62/6.25 tff(15712,plain,
% 8.62/6.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 8.62/6.25 inference(rewrite,[status(thm)],[])).
% 8.62/6.25 tff(15713,plain,
% 8.62/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 8.62/6.25 inference(quant_inst,[status(thm)],[])).
% 8.62/6.25 tff(15714,plain,
% 8.62/6.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193))),
% 8.62/6.25 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 8.62/6.25 tff(15715,plain,
% 8.62/6.25 (~node2(s193)),
% 8.62/6.25 inference(unit_resolution,[status(thm)],[15714, 787, 15711])).
% 8.62/6.25 tff(15716,plain,
% 8.62/6.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 8.62/6.25 inference(rewrite,[status(thm)],[])).
% 8.62/6.25 tff(15717,plain,
% 8.62/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 8.62/6.25 inference(quant_inst,[status(thm)],[])).
% 8.62/6.25 tff(15718,plain,
% 8.62/6.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193))),
% 8.62/6.25 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 8.62/6.25 tff(15719,plain,
% 8.62/6.25 (~node1(s193)),
% 8.62/6.25 inference(unit_resolution,[status(thm)],[15718, 195, 15636])).
% 8.62/6.25 tff(15720,plain,
% 8.62/6.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194))),
% 8.62/6.25 inference(rewrite,[status(thm)],[])).
% 8.62/6.25 tff(15721,plain,
% 8.62/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))),
% 8.62/6.25 inference(quant_inst,[status(thm)],[])).
% 8.62/6.25 tff(15722,plain,
% 8.62/6.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194)),
% 8.62/6.25 inference(modus_ponens,[status(thm)],[15721, 15720])).
% 8.62/6.25 tff(15723,plain,
% 8.62/6.25 (node7(s193, s194)),
% 8.62/6.25 inference(unit_resolution,[status(thm)],[15722, 206, 15647])).
% 8.62/6.25 tff(15724,plain,
% 8.62/6.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15725,plain,
% 8.62/6.26 (((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1)) <=> ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15726,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194))))),
% 8.62/6.26 inference(monotonicity,[status(thm)],[15725])).
% 8.62/6.26 tff(15727,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 8.62/6.26 inference(transitivity,[status(thm)],[15726, 15724])).
% 8.62/6.26 tff(15728,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15729,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 8.62/6.26 tff(15730,plain,
% 8.62/6.26 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15729, 892, 15723])).
% 8.62/6.26 tff(15731,plain,
% 8.62/6.26 (m_main_v_state1(s194, c_c1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15730, 15719, 15632, 15596, 15715, 15704])).
% 8.62/6.26 tff(15732,plain,
% 8.62/6.26 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15733,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15734,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 8.62/6.26 tff(15735,plain,
% 8.62/6.26 (~m_main_v_state1(s194, c_n1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15734, 454, 15731])).
% 8.62/6.26 tff(15736,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15737,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15738,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 8.62/6.26 tff(15739,plain,
% 8.62/6.26 (~node11(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15738, 238, 15735])).
% 8.62/6.26 tff(15740,plain,
% 8.62/6.26 (succ(s194, s195) <=> succ(s194, s195)),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15741,axiom,(succ(s194, s195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound195')).
% 8.62/6.26 tff(15742,plain,
% 8.62/6.26 (succ(s194, s195)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 8.62/6.26 tff(15743,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15744,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15745,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15744, 15743])).
% 8.62/6.26 tff(15746,plain,
% 8.62/6.26 (trans(s194, s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15745, 15742, 32])).
% 8.62/6.26 tff(15747,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15748,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15749,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 8.62/6.26 tff(15750,plain,
% 8.62/6.26 (node14(s194, s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15749, 46, 15746])).
% 8.62/6.26 tff(15751,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15752,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15753,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 8.62/6.26 tff(15754,plain,
% 8.62/6.26 (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15753, 296, 15750])).
% 8.62/6.26 tff(15755,plain,
% 8.62/6.26 (node13(s194, s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15754, 15739, 15696, 15692, 15688, 15684, 15667])).
% 8.62/6.26 tff(15756,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15757,plain,
% 8.62/6.26 (((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2))) <=> (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15758,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))))),
% 8.62/6.26 inference(monotonicity,[status(thm)],[15757])).
% 8.62/6.26 tff(15759,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 8.62/6.26 inference(transitivity,[status(thm)],[15758, 15756])).
% 8.62/6.26 tff(15760,plain,
% 8.62/6.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15761,plain,
% 8.62/6.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 8.62/6.26 tff(15762,plain,
% 8.62/6.26 (~m_main_v_state2(s195, c_n2)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15761, 311, 15680, 15755])).
% 8.62/6.26 tff(15763,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15764,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15765,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 8.62/6.26 tff(15766,plain,
% 8.62/6.26 (~node9(s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15765, 88, 15762])).
% 8.62/6.26 tff(15767,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15768,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15769,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 8.62/6.26 tff(15770,plain,
% 8.62/6.26 (~node10(s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15769, 249, 15762])).
% 8.62/6.26 tff(15771,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15772,plain,
% 8.62/6.26 (((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2)) <=> ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15773,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))))),
% 8.62/6.26 inference(monotonicity,[status(thm)],[15772])).
% 8.62/6.26 tff(15774,plain,
% 8.62/6.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 8.62/6.26 inference(transitivity,[status(thm)],[15773, 15771])).
% 8.62/6.26 tff(15775,plain,
% 8.62/6.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15776,plain,
% 8.62/6.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 8.62/6.26 tff(15777,plain,
% 8.62/6.26 (m_main_v_state2(s195, c_t2)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15776, 518, 15676, 15755])).
% 8.62/6.26 tff(15778,plain,
% 8.62/6.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15779,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15780,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 8.62/6.26 tff(15781,plain,
% 8.62/6.26 (~m_main_v_state1(s194, c_t1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15780, 539, 15731])).
% 8.62/6.26 tff(15782,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15783,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15784,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 8.62/6.26 tff(15785,plain,
% 8.62/6.26 (~node5(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15784, 550, 15781])).
% 8.62/6.26 tff(15786,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15787,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15788,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 8.62/6.26 tff(15789,plain,
% 8.62/6.26 (~node4(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15788, 388, 15680])).
% 8.62/6.26 tff(15790,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15791,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15792,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 8.62/6.26 tff(15793,plain,
% 8.62/6.26 (~node3(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15792, 399, 15696])).
% 8.62/6.26 tff(15794,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15795,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15796,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 8.62/6.26 tff(15797,plain,
% 8.62/6.26 (~node2(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15796, 410, 15680])).
% 8.62/6.26 tff(15798,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15799,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15800,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 8.62/6.26 tff(15801,plain,
% 8.62/6.26 (~node1(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15800, 421, 15735])).
% 8.62/6.26 tff(15802,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15803,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15804,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 8.62/6.26 tff(15805,plain,
% 8.62/6.26 (node7(s194, s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15804, 206, 15746])).
% 8.62/6.26 tff(15806,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15807,plain,
% 8.62/6.26 (((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1)) <=> (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15808,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))))),
% 8.62/6.26 inference(monotonicity,[status(thm)],[15807])).
% 8.62/6.26 tff(15809,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 8.62/6.26 inference(transitivity,[status(thm)],[15808, 15806])).
% 8.62/6.26 tff(15810,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15811,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15810, 15809])).
% 8.62/6.26 tff(15812,plain,
% 8.62/6.26 (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15811, 584, 15805])).
% 8.62/6.26 tff(15813,plain,
% 8.62/6.26 (m_main_v_state1(s195, c_n1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15812, 15801, 15731, 15797, 15793, 15789, 15785])).
% 8.62/6.26 tff(15814,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15815,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15816,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 8.62/6.26 tff(15817,plain,
% 8.62/6.26 (~node8(s195)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15816, 271, 15762])).
% 8.62/6.26 tff(15818,plain,
% 8.62/6.26 (succ(s195, s196) <=> succ(s195, s196)),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15819,axiom,(succ(s195, s196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound196')).
% 8.62/6.26 tff(15820,plain,
% 8.62/6.26 (succ(s195, s196)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 8.62/6.26 tff(15821,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15822,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15823,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 8.62/6.26 tff(15824,plain,
% 8.62/6.26 (trans(s195, s196)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15823, 15820, 32])).
% 8.62/6.26 tff(15825,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15826,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15827,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 8.62/6.26 tff(15828,plain,
% 8.62/6.26 (node14(s195, s196)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15827, 46, 15824])).
% 8.62/6.26 tff(15829,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15830,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15831,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 8.62/6.26 tff(15832,plain,
% 8.62/6.26 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | m_main_v_state2(s196, c_c2)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15831, 617, 15828])).
% 8.62/6.26 tff(15833,plain,
% 8.62/6.26 (m_main_v_state2(s196, c_c2)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15832, 15817, 15813, 15777, 15770, 15766])).
% 8.62/6.26 tff(15834,plain,
% 8.62/6.26 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15835,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15836,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 8.62/6.26 tff(15837,plain,
% 8.62/6.26 (~m_main_v_state2(s196, c_t2)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15836, 260, 15833])).
% 8.62/6.26 tff(15838,plain,
% 8.62/6.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15839,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15840,plain,
% 8.62/6.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 8.62/6.26 tff(15841,plain,
% 8.62/6.26 (~node12(s196)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15840, 633, 15837])).
% 8.62/6.26 tff(15842,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15843,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15844,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 8.62/6.26 tff(15845,plain,
% 8.62/6.26 (node7(s195, s196)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15844, 206, 15824])).
% 8.62/6.26 tff(15846,plain,
% 8.62/6.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15847,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15848,plain,
% 8.62/6.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1)),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 8.62/6.26 tff(15849,plain,
% 8.62/6.26 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_state1(s196, c_t1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15848, 651, 15845])).
% 8.62/6.26 tff(15850,plain,
% 8.62/6.26 (m_main_v_state1(s196, c_t1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15849, 15777, 15813])).
% 8.62/6.26 tff(15851,plain,
% 8.62/6.26 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))),
% 8.62/6.26 inference(rewrite,[status(thm)],[])).
% 8.62/6.26 tff(15852,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))),
% 8.62/6.26 inference(quant_inst,[status(thm)],[])).
% 8.62/6.26 tff(15853,plain,
% 8.62/6.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1))),
% 8.62/6.26 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 8.62/6.26 tff(15854,plain,
% 8.62/6.26 (~m_main_v_state1(s196, c_n1)),
% 8.62/6.26 inference(unit_resolution,[status(thm)],[15853, 10, 15850])).
% 8.62/6.27 tff(15855,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15856,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15857,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 8.62/6.27 tff(15858,plain,
% 8.62/6.27 (~node11(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15857, 238, 15854])).
% 8.62/6.27 tff(15859,plain,
% 8.62/6.27 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15860,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15861,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 8.62/6.27 tff(15862,plain,
% 8.62/6.27 (~m_main_v_state1(s196, c_c1)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15861, 539, 15850])).
% 8.62/6.27 tff(15863,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15864,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15865,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 8.62/6.27 tff(15866,plain,
% 8.62/6.27 (~node10(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15865, 675, 15862])).
% 8.62/6.27 tff(15867,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15868,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15869,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 8.62/6.27 tff(15870,plain,
% 8.62/6.27 (~node9(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15869, 686, 15854])).
% 8.62/6.27 tff(15871,plain,
% 8.62/6.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15872,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15873,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 8.62/6.27 tff(15874,plain,
% 8.62/6.27 (~m_main_v_state2(s196, c_n2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15873, 697, 15833])).
% 8.62/6.27 tff(15875,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15876,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15877,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15876, 15875])).
% 8.62/6.27 tff(15878,plain,
% 8.62/6.27 (~node8(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15877, 271, 15874])).
% 8.62/6.27 tff(15879,plain,
% 8.62/6.27 (succ(s196, s197) <=> succ(s196, s197)),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15880,axiom,(succ(s196, s197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound197')).
% 8.62/6.27 tff(15881,plain,
% 8.62/6.27 (succ(s196, s197)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15880, 15879])).
% 8.62/6.27 tff(15882,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15883,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15884,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 8.62/6.27 tff(15885,plain,
% 8.62/6.27 (trans(s196, s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15884, 15881, 32])).
% 8.62/6.27 tff(15886,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15887,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15888,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 8.62/6.27 tff(15889,plain,
% 8.62/6.27 (node14(s196, s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15888, 46, 15885])).
% 8.62/6.27 tff(15890,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15891,plain,
% 8.62/6.27 (((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2)) <=> (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15892,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2))))),
% 8.62/6.27 inference(monotonicity,[status(thm)],[15891])).
% 8.62/6.27 tff(15893,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 8.62/6.27 inference(transitivity,[status(thm)],[15892, 15890])).
% 8.62/6.27 tff(15894,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15895,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 8.62/6.27 tff(15896,plain,
% 8.62/6.27 (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~m_main_v_state2(s196, c_c2))),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15895, 726, 15889])).
% 8.62/6.27 tff(15897,plain,
% 8.62/6.27 (m_main_v_state2(s197, c_n2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15896, 15878, 15833, 15870, 15866, 15858, 15841])).
% 8.62/6.27 tff(15898,plain,
% 8.62/6.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15899,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15900,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 8.62/6.27 tff(15901,plain,
% 8.62/6.27 (~m_main_v_state2(s197, c_c2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15900, 697, 15897])).
% 8.62/6.27 tff(15902,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15903,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15904,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 8.62/6.27 tff(15905,plain,
% 8.62/6.27 (~node3(s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15904, 399, 15901])).
% 8.62/6.27 tff(15906,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15907,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15908,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 8.62/6.27 tff(15909,plain,
% 8.62/6.27 (~node1(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15908, 421, 15854])).
% 8.62/6.27 tff(15910,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15911,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15912,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 8.62/6.27 tff(15913,plain,
% 8.62/6.27 (node18(s195, s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15912, 125, 15824])).
% 8.62/6.27 tff(15914,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15915,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15916,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15915, 15914])).
% 8.62/6.27 tff(15917,plain,
% 8.62/6.27 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_turn(s196, c_2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15916, 760, 15913])).
% 8.62/6.27 tff(15918,plain,
% 8.62/6.27 (m_main_v_turn(s196, c_2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15917, 15777, 15813])).
% 8.62/6.27 tff(15919,plain,
% 8.62/6.27 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15920,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15921,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 8.62/6.27 tff(15922,plain,
% 8.62/6.27 (~m_main_v_turn(s196, c_1)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15921, 156, 15918])).
% 8.62/6.27 tff(15923,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15924,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15925,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 8.62/6.27 tff(15926,plain,
% 8.62/6.27 (~node5(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15925, 776, 15922])).
% 8.62/6.27 tff(15927,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15928,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15929,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 8.62/6.27 tff(15930,plain,
% 8.62/6.27 (~node2(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15929, 787, 15854])).
% 8.62/6.27 tff(15931,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15932,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15933,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 8.62/6.27 tff(15934,plain,
% 8.62/6.27 (~node3(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15933, 798, 15854])).
% 8.62/6.27 tff(15935,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15936,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15937,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 8.62/6.27 tff(15938,plain,
% 8.62/6.27 (~node4(s196)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15937, 388, 15874])).
% 8.62/6.27 tff(15939,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15940,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15941,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 8.62/6.27 tff(15942,plain,
% 8.62/6.27 (node7(s196, s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15941, 206, 15885])).
% 8.62/6.27 tff(15943,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15944,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15945,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 8.62/6.27 tff(15946,plain,
% 8.62/6.27 (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15945, 820, 15942])).
% 8.62/6.27 tff(15947,plain,
% 8.62/6.27 (node6(s196, s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15946, 15938, 15862, 15934, 15930, 15926, 15909])).
% 8.62/6.27 tff(15948,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15949,plain,
% 8.62/6.27 (((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1))) <=> (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15950,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))))),
% 8.62/6.27 inference(monotonicity,[status(thm)],[15949])).
% 8.62/6.27 tff(15951,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 8.62/6.27 inference(transitivity,[status(thm)],[15950, 15948])).
% 8.62/6.27 tff(15952,plain,
% 8.62/6.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15953,plain,
% 8.62/6.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 8.62/6.27 tff(15954,plain,
% 8.62/6.27 (~m_main_v_state1(s197, c_n1)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15953, 835, 15854, 15947])).
% 8.62/6.27 tff(15955,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15956,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15957,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 8.62/6.27 tff(15958,plain,
% 8.62/6.27 (~node2(s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15957, 787, 15954])).
% 8.62/6.27 tff(15959,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15960,plain,
% 8.62/6.27 (((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1)) <=> ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15961,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))))),
% 8.62/6.27 inference(monotonicity,[status(thm)],[15960])).
% 8.62/6.27 tff(15962,plain,
% 8.62/6.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 8.62/6.27 inference(transitivity,[status(thm)],[15961, 15959])).
% 8.62/6.27 tff(15963,plain,
% 8.62/6.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15964,plain,
% 8.62/6.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 8.62/6.27 tff(15965,plain,
% 8.62/6.27 (m_main_v_state1(s197, c_t1)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15964, 856, 15850, 15947])).
% 8.62/6.27 tff(15966,plain,
% 8.62/6.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15967,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15968,plain,
% 8.62/6.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 8.62/6.27 tff(15969,plain,
% 8.62/6.27 (~m_main_v_state2(s197, c_t2)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15968, 77, 15897])).
% 8.62/6.27 tff(15970,plain,
% 8.62/6.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15971,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15972,plain,
% 8.62/6.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197))),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15971, 15970])).
% 8.62/6.27 tff(15973,plain,
% 8.62/6.27 (~node1(s197)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15972, 195, 15969])).
% 8.62/6.27 tff(15974,plain,
% 8.62/6.27 (succ(s197, s198) <=> succ(s197, s198)),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15975,axiom,(succ(s197, s198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound198')).
% 8.62/6.27 tff(15976,plain,
% 8.62/6.27 (succ(s197, s198)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15975, 15974])).
% 8.62/6.27 tff(15977,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15978,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15979,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15978, 15977])).
% 8.62/6.27 tff(15980,plain,
% 8.62/6.27 (trans(s197, s198)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15979, 15976, 32])).
% 8.62/6.27 tff(15981,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15982,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))),
% 8.62/6.27 inference(quant_inst,[status(thm)],[])).
% 8.62/6.27 tff(15983,plain,
% 8.62/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198)),
% 8.62/6.27 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 8.62/6.27 tff(15984,plain,
% 8.62/6.27 (node7(s197, s198)),
% 8.62/6.27 inference(unit_resolution,[status(thm)],[15983, 206, 15980])).
% 8.62/6.27 tff(15985,plain,
% 8.62/6.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 8.62/6.27 inference(rewrite,[status(thm)],[])).
% 8.62/6.27 tff(15986,plain,
% 8.62/6.27 (((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1)) <=> ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(15987,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198))))),
% 8.62/6.28 inference(monotonicity,[status(thm)],[15986])).
% 8.62/6.28 tff(15988,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 8.62/6.28 inference(transitivity,[status(thm)],[15987, 15985])).
% 8.62/6.28 tff(15989,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(15990,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 8.62/6.28 tff(15991,plain,
% 8.62/6.28 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[15990, 892, 15984])).
% 8.62/6.28 tff(15992,plain,
% 8.62/6.28 (m_main_v_state1(s198, c_c1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[15991, 15973, 15897, 15965, 15958, 15905])).
% 8.62/6.28 tff(15993,plain,
% 8.62/6.28 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(15994,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(15995,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 8.62/6.28 tff(15996,plain,
% 8.62/6.28 (~m_main_v_state1(s198, c_t1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[15995, 539, 15992])).
% 8.62/6.28 tff(15997,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(15998,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(15999,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[15998, 15997])).
% 8.62/6.28 tff(16000,plain,
% 8.62/6.28 (~node5(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[15999, 550, 15996])).
% 8.62/6.28 tff(16001,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16002,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16003,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16002, 16001])).
% 8.62/6.28 tff(16004,plain,
% 8.62/6.28 (node14(s197, s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16003, 46, 15980])).
% 8.62/6.28 tff(16005,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16006,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16007,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 8.62/6.28 tff(16008,plain,
% 8.62/6.28 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state2(s198, c_t2)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16007, 922, 16004])).
% 8.62/6.28 tff(16009,plain,
% 8.62/6.28 (m_main_v_state2(s198, c_t2)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16008, 15965, 15897])).
% 8.62/6.28 tff(16010,plain,
% 8.62/6.28 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16011,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16012,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 8.62/6.28 tff(16013,plain,
% 8.62/6.28 (~m_main_v_state2(s198, c_n2)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16012, 77, 16009])).
% 8.62/6.28 tff(16014,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16015,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16016,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 8.62/6.28 tff(16017,plain,
% 8.62/6.28 (~node4(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16016, 388, 16013])).
% 8.62/6.28 tff(16018,plain,
% 8.62/6.28 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16019,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16020,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 8.62/6.28 tff(16021,plain,
% 8.62/6.28 (~m_main_v_state2(s198, c_c2)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16020, 260, 16009])).
% 8.62/6.28 tff(16022,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16023,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16024,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 8.62/6.28 tff(16025,plain,
% 8.62/6.28 (~node3(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16024, 399, 16021])).
% 8.62/6.28 tff(16026,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16027,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16028,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 8.62/6.28 tff(16029,plain,
% 8.62/6.28 (~node2(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16028, 410, 16013])).
% 8.62/6.28 tff(16030,plain,
% 8.62/6.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16031,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16032,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 8.62/6.28 tff(16033,plain,
% 8.62/6.28 (~m_main_v_state1(s198, c_n1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16032, 454, 15992])).
% 8.62/6.28 tff(16034,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16035,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16036,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 8.62/6.28 tff(16037,plain,
% 8.62/6.28 (~node1(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16036, 421, 16033])).
% 8.62/6.28 tff(16038,plain,
% 8.62/6.28 (succ(s198, s199) <=> succ(s198, s199)),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16039,axiom,(succ(s198, s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound199')).
% 8.62/6.28 tff(16040,plain,
% 8.62/6.28 (succ(s198, s199)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 8.62/6.28 tff(16041,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16042,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16043,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 8.62/6.28 tff(16044,plain,
% 8.62/6.28 (trans(s198, s199)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16043, 16040, 32])).
% 8.62/6.28 tff(16045,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16046,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16047,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 8.62/6.28 tff(16048,plain,
% 8.62/6.28 (node7(s198, s199)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16047, 206, 16044])).
% 8.62/6.28 tff(16049,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16050,plain,
% 8.62/6.28 (((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1)) <=> (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16051,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))))),
% 8.62/6.28 inference(monotonicity,[status(thm)],[16050])).
% 8.62/6.28 tff(16052,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 8.62/6.28 inference(transitivity,[status(thm)],[16051, 16049])).
% 8.62/6.28 tff(16053,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16054,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 8.62/6.28 tff(16055,plain,
% 8.62/6.28 (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16054, 584, 16048])).
% 8.62/6.28 tff(16056,plain,
% 8.62/6.28 (m_main_v_state1(s199, c_n1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16055, 16037, 15992, 16029, 16025, 16017, 16000])).
% 8.62/6.28 tff(16057,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16058,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16059,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16058, 16057])).
% 8.62/6.28 tff(16060,plain,
% 8.62/6.28 (~node15(s197)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16059, 103, 15969])).
% 8.62/6.28 tff(16061,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16062,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16063,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 8.62/6.28 tff(16064,plain,
% 8.62/6.28 (node18(s197, s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16063, 125, 15980])).
% 8.62/6.28 tff(16065,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16066,plain,
% 8.62/6.28 (((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1)) <=> (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16067,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)))),
% 8.62/6.28 inference(monotonicity,[status(thm)],[16066])).
% 8.62/6.28 tff(16068,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 8.62/6.28 inference(transitivity,[status(thm)],[16067, 16065])).
% 8.62/6.28 tff(16069,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16070,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 8.62/6.28 tff(16071,plain,
% 8.62/6.28 (node15(s197) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16070, 992, 16064])).
% 8.62/6.28 tff(16072,plain,
% 8.62/6.28 (m_main_v_turn(s198, c_1)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16071, 16060, 15897, 15965])).
% 8.62/6.28 tff(16073,plain,
% 8.62/6.28 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16074,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16075,plain,
% 8.62/6.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 8.62/6.28 tff(16076,plain,
% 8.62/6.28 (~m_main_v_turn(s198, c_2)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16075, 156, 16072])).
% 8.62/6.28 tff(16077,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16078,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16079,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 8.62/6.28 tff(16080,plain,
% 8.62/6.28 (~node12(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16079, 184, 16076])).
% 8.62/6.28 tff(16081,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16082,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16083,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16082, 16081])).
% 8.62/6.28 tff(16084,plain,
% 8.62/6.28 (~node8(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16083, 271, 16013])).
% 8.62/6.28 tff(16085,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16086,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16087,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16086, 16085])).
% 8.62/6.28 tff(16088,plain,
% 8.62/6.28 (~node9(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16087, 88, 16013])).
% 8.62/6.28 tff(16089,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16090,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16091,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 8.62/6.28 tff(16092,plain,
% 8.62/6.28 (~node10(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16091, 249, 16013])).
% 8.62/6.28 tff(16093,plain,
% 8.62/6.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16094,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16095,plain,
% 8.62/6.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 8.62/6.28 tff(16096,plain,
% 8.62/6.28 (~node11(s198)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16095, 238, 16033])).
% 8.62/6.28 tff(16097,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16098,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16099,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199)),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 8.62/6.28 tff(16100,plain,
% 8.62/6.28 (node14(s198, s199)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16099, 46, 16044])).
% 8.62/6.28 tff(16101,plain,
% 8.62/6.28 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16102,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))),
% 8.62/6.28 inference(quant_inst,[status(thm)],[])).
% 8.62/6.28 tff(16103,plain,
% 8.62/6.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199))),
% 8.62/6.28 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 8.62/6.28 tff(16104,plain,
% 8.62/6.28 (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16103, 296, 16100])).
% 8.62/6.28 tff(16105,plain,
% 8.62/6.28 (node13(s198, s199)),
% 8.62/6.28 inference(unit_resolution,[status(thm)],[16104, 16096, 16021, 16092, 16088, 16084, 16080])).
% 8.62/6.28 tff(16106,plain,
% 8.62/6.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16107,plain,
% 8.62/6.28 (((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2)) <=> ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 8.62/6.28 inference(rewrite,[status(thm)],[])).
% 8.62/6.28 tff(16108,plain,
% 8.62/6.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))))),
% 8.62/6.28 inference(monotonicity,[status(thm)],[16107])).
% 8.62/6.28 tff(16109,plain,
% 8.62/6.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 8.62/6.29 inference(transitivity,[status(thm)],[16108, 16106])).
% 8.62/6.29 tff(16110,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16111,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 8.62/6.29 tff(16112,plain,
% 8.62/6.29 (m_main_v_state2(s199, c_t2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16111, 518, 16009, 16105])).
% 8.62/6.29 tff(16113,plain,
% 8.62/6.29 (succ(s199, s200) <=> succ(s199, s200)),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16114,axiom,(succ(s199, s200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound200')).
% 8.62/6.29 tff(16115,plain,
% 8.62/6.29 (succ(s199, s200)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 8.62/6.29 tff(16116,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16117,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16118,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16117, 16116])).
% 8.62/6.29 tff(16119,plain,
% 8.62/6.29 (trans(s199, s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16118, 16115, 32])).
% 8.62/6.29 tff(16120,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16121,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16122,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 8.62/6.29 tff(16123,plain,
% 8.62/6.29 (node7(s199, s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16122, 206, 16119])).
% 8.62/6.29 tff(16124,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16125,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16126,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 8.62/6.29 tff(16127,plain,
% 8.62/6.29 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_state1(s200, c_t1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16126, 651, 16123])).
% 8.62/6.29 tff(16128,plain,
% 8.62/6.29 (m_main_v_state1(s200, c_t1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16127, 16112, 16056])).
% 8.62/6.29 tff(16129,plain,
% 8.62/6.29 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16130,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16131,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 8.62/6.29 tff(16132,plain,
% 8.62/6.29 (~m_main_v_state1(s200, c_n1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16131, 10, 16128])).
% 8.62/6.29 tff(16133,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16134,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16135,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 8.62/6.29 tff(16136,plain,
% 8.62/6.29 (~node1(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16135, 421, 16132])).
% 8.62/6.29 tff(16137,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16138,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16139,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 8.62/6.29 tff(16140,plain,
% 8.62/6.29 (node18(s199, s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16139, 125, 16119])).
% 8.62/6.29 tff(16141,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16142,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16143,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 8.62/6.29 tff(16144,plain,
% 8.62/6.29 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_turn(s200, c_2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16143, 760, 16140])).
% 8.62/6.29 tff(16145,plain,
% 8.62/6.29 (m_main_v_turn(s200, c_2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16144, 16112, 16056])).
% 8.62/6.29 tff(16146,plain,
% 8.62/6.29 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16147,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16148,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 8.62/6.29 tff(16149,plain,
% 8.62/6.29 (~m_main_v_turn(s200, c_1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16148, 156, 16145])).
% 8.62/6.29 tff(16150,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16151,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16152,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 8.62/6.29 tff(16153,plain,
% 8.62/6.29 (~node5(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16152, 776, 16149])).
% 8.62/6.29 tff(16154,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16155,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16156,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 8.62/6.29 tff(16157,plain,
% 8.62/6.29 (~node2(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16156, 787, 16132])).
% 8.62/6.29 tff(16158,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16159,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16160,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 8.62/6.29 tff(16161,plain,
% 8.62/6.29 (~node3(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16160, 798, 16132])).
% 8.62/6.29 tff(16162,plain,
% 8.62/6.29 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16163,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16164,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 8.62/6.29 tff(16165,plain,
% 8.62/6.29 (~m_main_v_state1(s200, c_c1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16164, 539, 16128])).
% 8.62/6.29 tff(16166,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16167,plain,
% 8.62/6.29 (((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2))) <=> (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16168,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199))))),
% 8.62/6.29 inference(monotonicity,[status(thm)],[16167])).
% 8.62/6.29 tff(16169,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 8.62/6.29 inference(transitivity,[status(thm)],[16168, 16166])).
% 8.62/6.29 tff(16170,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16171,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 8.62/6.29 tff(16172,plain,
% 8.62/6.29 (~m_main_v_state2(s199, c_n2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16171, 311, 16013, 16105])).
% 8.62/6.29 tff(16173,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16174,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16175,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 8.62/6.29 tff(16176,plain,
% 8.62/6.29 (~node9(s199)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16175, 88, 16172])).
% 8.62/6.29 tff(16177,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16178,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16179,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 8.62/6.29 tff(16180,plain,
% 8.62/6.29 (~node10(s199)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16179, 249, 16172])).
% 8.62/6.29 tff(16181,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16182,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16183,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 8.62/6.29 tff(16184,plain,
% 8.62/6.29 (~node8(s199)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16183, 271, 16172])).
% 8.62/6.29 tff(16185,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16186,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16187,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 8.62/6.29 tff(16188,plain,
% 8.62/6.29 (node14(s199, s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16187, 46, 16119])).
% 8.62/6.29 tff(16189,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16190,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16191,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 8.62/6.29 tff(16192,plain,
% 8.62/6.29 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | m_main_v_state2(s200, c_c2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16191, 617, 16188])).
% 8.62/6.29 tff(16193,plain,
% 8.62/6.29 (m_main_v_state2(s200, c_c2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16192, 16184, 16056, 16112, 16180, 16176])).
% 8.62/6.29 tff(16194,plain,
% 8.62/6.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16195,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16196,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 8.62/6.29 tff(16197,plain,
% 8.62/6.29 (~m_main_v_state2(s200, c_n2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16196, 697, 16193])).
% 8.62/6.29 tff(16198,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16199,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16200,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16199, 16198])).
% 8.62/6.29 tff(16201,plain,
% 8.62/6.29 (~node4(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16200, 388, 16197])).
% 8.62/6.29 tff(16202,plain,
% 8.62/6.29 (succ(s200, s201) <=> succ(s200, s201)),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16203,axiom,(succ(s200, s201)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound201')).
% 8.62/6.29 tff(16204,plain,
% 8.62/6.29 (succ(s200, s201)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 8.62/6.29 tff(16205,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16206,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16207,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 8.62/6.29 tff(16208,plain,
% 8.62/6.29 (trans(s200, s201)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16207, 16204, 32])).
% 8.62/6.29 tff(16209,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16210,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16211,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 8.62/6.29 tff(16212,plain,
% 8.62/6.29 (node7(s200, s201)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16211, 206, 16208])).
% 8.62/6.29 tff(16213,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16214,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16215,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 8.62/6.29 tff(16216,plain,
% 8.62/6.29 (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16215, 820, 16212])).
% 8.62/6.29 tff(16217,plain,
% 8.62/6.29 (node6(s200, s201)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16216, 16201, 16165, 16161, 16157, 16153, 16136])).
% 8.62/6.29 tff(16218,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16219,plain,
% 8.62/6.29 (((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1)) <=> ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16220,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201))))),
% 8.62/6.29 inference(monotonicity,[status(thm)],[16219])).
% 8.62/6.29 tff(16221,plain,
% 8.62/6.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 8.62/6.29 inference(transitivity,[status(thm)],[16220, 16218])).
% 8.62/6.29 tff(16222,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16223,plain,
% 8.62/6.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 8.62/6.29 tff(16224,plain,
% 8.62/6.29 (m_main_v_state1(s201, c_t1)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16223, 856, 16128, 16217])).
% 8.62/6.29 tff(16225,plain,
% 8.62/6.29 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16226,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16227,plain,
% 8.62/6.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 8.62/6.29 tff(16228,plain,
% 8.62/6.29 (~m_main_v_state2(s200, c_t2)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16227, 260, 16193])).
% 8.62/6.29 tff(16229,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16230,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16231,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 8.62/6.29 tff(16232,plain,
% 8.62/6.29 (~node12(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16231, 633, 16228])).
% 8.62/6.29 tff(16233,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16234,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16235,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 8.62/6.29 tff(16236,plain,
% 8.62/6.29 (~node11(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16235, 238, 16132])).
% 8.62/6.29 tff(16237,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16238,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16239,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 8.62/6.29 tff(16240,plain,
% 8.62/6.29 (~node10(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16239, 675, 16165])).
% 8.62/6.29 tff(16241,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16242,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16243,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16242, 16241])).
% 8.62/6.29 tff(16244,plain,
% 8.62/6.29 (~node9(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16243, 686, 16132])).
% 8.62/6.29 tff(16245,plain,
% 8.62/6.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16246,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16247,plain,
% 8.62/6.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200))),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16246, 16245])).
% 8.62/6.29 tff(16248,plain,
% 8.62/6.29 (~node8(s200)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16247, 271, 16197])).
% 8.62/6.29 tff(16249,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16250,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))),
% 8.62/6.29 inference(quant_inst,[status(thm)],[])).
% 8.62/6.29 tff(16251,plain,
% 8.62/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201)),
% 8.62/6.29 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 8.62/6.29 tff(16252,plain,
% 8.62/6.29 (node14(s200, s201)),
% 8.62/6.29 inference(unit_resolution,[status(thm)],[16251, 46, 16208])).
% 8.62/6.29 tff(16253,plain,
% 8.62/6.29 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.29 inference(rewrite,[status(thm)],[])).
% 8.62/6.29 tff(16254,plain,
% 8.62/6.29 (((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2)) <=> (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16255,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2))))),
% 8.62/6.30 inference(monotonicity,[status(thm)],[16254])).
% 8.62/6.30 tff(16256,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 8.62/6.30 inference(transitivity,[status(thm)],[16255, 16253])).
% 8.62/6.30 tff(16257,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16258,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 8.62/6.30 tff(16259,plain,
% 8.62/6.30 (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~m_main_v_state2(s200, c_c2))),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16258, 726, 16252])).
% 8.62/6.30 tff(16260,plain,
% 8.62/6.30 (m_main_v_state2(s201, c_n2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16259, 16248, 16193, 16244, 16240, 16236, 16232])).
% 8.62/6.30 tff(16261,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16262,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16263,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 8.62/6.30 tff(16264,plain,
% 8.62/6.30 (~m_main_v_state2(s201, c_t2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16263, 77, 16260])).
% 8.62/6.30 tff(16265,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16266,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16267,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 8.62/6.30 tff(16268,plain,
% 8.62/6.30 (~node15(s201)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16267, 103, 16264])).
% 8.62/6.30 tff(16269,plain,
% 8.62/6.30 (succ(s201, s202) <=> succ(s201, s202)),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16270,axiom,(succ(s201, s202)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound202')).
% 8.62/6.30 tff(16271,plain,
% 8.62/6.30 (succ(s201, s202)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 8.62/6.30 tff(16272,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16273,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16274,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 8.62/6.30 tff(16275,plain,
% 8.62/6.30 (trans(s201, s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16274, 16271, 32])).
% 8.62/6.30 tff(16276,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16277,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16278,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 8.62/6.30 tff(16279,plain,
% 8.62/6.30 (node18(s201, s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16278, 125, 16275])).
% 8.62/6.30 tff(16280,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16281,plain,
% 8.62/6.30 (((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1)) <=> (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16282,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)))),
% 8.62/6.30 inference(monotonicity,[status(thm)],[16281])).
% 8.62/6.30 tff(16283,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 8.62/6.30 inference(transitivity,[status(thm)],[16282, 16280])).
% 8.62/6.30 tff(16284,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16285,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 8.62/6.30 tff(16286,plain,
% 8.62/6.30 (node15(s201) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16285, 992, 16279])).
% 8.62/6.30 tff(16287,plain,
% 8.62/6.30 (m_main_v_turn(s202, c_1)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16286, 16268, 16260, 16224])).
% 8.62/6.30 tff(16288,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16289,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16290,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 8.62/6.30 tff(16291,plain,
% 8.62/6.30 (~m_main_v_turn(s202, c_2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16290, 156, 16287])).
% 8.62/6.30 tff(16292,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16293,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16294,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 8.62/6.30 tff(16295,plain,
% 8.62/6.30 (~node12(s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16294, 184, 16291])).
% 8.62/6.30 tff(16296,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16297,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16298,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 8.62/6.30 tff(16299,plain,
% 8.62/6.30 (node14(s201, s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16298, 46, 16275])).
% 8.62/6.30 tff(16300,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16301,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16302,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 8.62/6.30 tff(16303,plain,
% 8.62/6.30 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state2(s202, c_t2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16302, 922, 16299])).
% 8.62/6.30 tff(16304,plain,
% 8.62/6.30 (m_main_v_state2(s202, c_t2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16303, 16224, 16260])).
% 8.62/6.30 tff(16305,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16306,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16307,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 8.62/6.30 tff(16308,plain,
% 8.62/6.30 (~m_main_v_state2(s202, c_n2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16307, 77, 16304])).
% 8.62/6.30 tff(16309,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16310,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16311,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 8.62/6.30 tff(16312,plain,
% 8.62/6.30 (~node8(s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16311, 271, 16308])).
% 8.62/6.30 tff(16313,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16314,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16315,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 8.62/6.30 tff(16316,plain,
% 8.62/6.30 (~node9(s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16315, 88, 16308])).
% 8.62/6.30 tff(16317,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16318,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16319,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 8.62/6.30 tff(16320,plain,
% 8.62/6.30 (~node10(s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16319, 249, 16308])).
% 8.62/6.30 tff(16321,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16322,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16323,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 8.62/6.30 tff(16324,plain,
% 8.62/6.30 (~m_main_v_state2(s202, c_c2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16323, 260, 16304])).
% 8.62/6.30 tff(16325,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16326,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16327,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16326, 16325])).
% 8.62/6.30 tff(16328,plain,
% 8.62/6.30 (~m_main_v_state2(s201, c_c2)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16327, 697, 16260])).
% 8.62/6.30 tff(16329,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16330,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16331,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 8.62/6.30 tff(16332,plain,
% 8.62/6.30 (~node3(s201)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16331, 399, 16328])).
% 8.62/6.30 tff(16333,plain,
% 8.62/6.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16334,plain,
% 8.62/6.30 (((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1))) <=> (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16335,plain,
% 8.62/6.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201))))),
% 8.62/6.30 inference(monotonicity,[status(thm)],[16334])).
% 8.62/6.30 tff(16336,plain,
% 8.62/6.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 8.62/6.30 inference(transitivity,[status(thm)],[16335, 16333])).
% 8.62/6.30 tff(16337,plain,
% 8.62/6.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16338,plain,
% 8.62/6.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 8.62/6.30 tff(16339,plain,
% 8.62/6.30 (~m_main_v_state1(s201, c_n1)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16338, 835, 16132, 16217])).
% 8.62/6.30 tff(16340,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16341,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16342,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16341, 16340])).
% 8.62/6.30 tff(16343,plain,
% 8.62/6.30 (~node2(s201)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16342, 787, 16339])).
% 8.62/6.30 tff(16344,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16345,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16346,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16345, 16344])).
% 8.62/6.30 tff(16347,plain,
% 8.62/6.30 (~node1(s201)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16346, 195, 16264])).
% 8.62/6.30 tff(16348,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16349,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16350,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 8.62/6.30 tff(16351,plain,
% 8.62/6.30 (node7(s201, s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16350, 206, 16275])).
% 8.62/6.30 tff(16352,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16353,plain,
% 8.62/6.30 (((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1)) <=> ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16354,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202))))),
% 8.62/6.30 inference(monotonicity,[status(thm)],[16353])).
% 8.62/6.30 tff(16355,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 8.62/6.30 inference(transitivity,[status(thm)],[16354, 16352])).
% 8.62/6.30 tff(16356,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16357,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 8.62/6.30 tff(16358,plain,
% 8.62/6.30 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16357, 892, 16351])).
% 8.62/6.30 tff(16359,plain,
% 8.62/6.30 (m_main_v_state1(s202, c_c1)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16358, 16347, 16260, 16224, 16343, 16332])).
% 8.62/6.30 tff(16360,plain,
% 8.62/6.30 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16361,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16362,plain,
% 8.62/6.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 8.62/6.30 tff(16363,plain,
% 8.62/6.30 (~m_main_v_state1(s202, c_n1)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16362, 454, 16359])).
% 8.62/6.30 tff(16364,plain,
% 8.62/6.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16365,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16366,plain,
% 8.62/6.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 8.62/6.30 tff(16367,plain,
% 8.62/6.30 (~node11(s202)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16366, 238, 16363])).
% 8.62/6.30 tff(16368,plain,
% 8.62/6.30 (succ(s202, s203) <=> succ(s202, s203)),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16369,axiom,(succ(s202, s203)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound203')).
% 8.62/6.30 tff(16370,plain,
% 8.62/6.30 (succ(s202, s203)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16369, 16368])).
% 8.62/6.30 tff(16371,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16372,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16373,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 8.62/6.30 tff(16374,plain,
% 8.62/6.30 (trans(s202, s203)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16373, 16370, 32])).
% 8.62/6.30 tff(16375,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16376,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16377,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203)),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 8.62/6.30 tff(16378,plain,
% 8.62/6.30 (node14(s202, s203)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16377, 46, 16374])).
% 8.62/6.30 tff(16379,plain,
% 8.62/6.30 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16380,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))),
% 8.62/6.30 inference(quant_inst,[status(thm)],[])).
% 8.62/6.30 tff(16381,plain,
% 8.62/6.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203))),
% 8.62/6.30 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 8.62/6.30 tff(16382,plain,
% 8.62/6.30 (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16381, 296, 16378])).
% 8.62/6.30 tff(16383,plain,
% 8.62/6.30 (node13(s202, s203)),
% 8.62/6.30 inference(unit_resolution,[status(thm)],[16382, 16367, 16324, 16320, 16316, 16312, 16295])).
% 8.62/6.30 tff(16384,plain,
% 8.62/6.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 8.62/6.30 inference(rewrite,[status(thm)],[])).
% 8.62/6.30 tff(16385,plain,
% 8.62/6.30 (((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2))) <=> (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16386,plain,
% 8.62/6.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))))),
% 8.62/6.31 inference(monotonicity,[status(thm)],[16385])).
% 8.62/6.31 tff(16387,plain,
% 8.62/6.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 8.62/6.31 inference(transitivity,[status(thm)],[16386, 16384])).
% 8.62/6.31 tff(16388,plain,
% 8.62/6.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16389,plain,
% 8.62/6.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 8.62/6.31 tff(16390,plain,
% 8.62/6.31 (~m_main_v_state2(s203, c_n2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16389, 311, 16308, 16383])).
% 8.62/6.31 tff(16391,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16392,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16393,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 8.62/6.31 tff(16394,plain,
% 8.62/6.31 (~node9(s203)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16393, 88, 16390])).
% 8.62/6.31 tff(16395,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16396,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16397,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16396, 16395])).
% 8.62/6.31 tff(16398,plain,
% 8.62/6.31 (~node10(s203)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16397, 249, 16390])).
% 8.62/6.31 tff(16399,plain,
% 8.62/6.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16400,plain,
% 8.62/6.31 (((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2)) <=> ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16401,plain,
% 8.62/6.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))))),
% 8.62/6.31 inference(monotonicity,[status(thm)],[16400])).
% 8.62/6.31 tff(16402,plain,
% 8.62/6.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 8.62/6.31 inference(transitivity,[status(thm)],[16401, 16399])).
% 8.62/6.31 tff(16403,plain,
% 8.62/6.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16404,plain,
% 8.62/6.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16403, 16402])).
% 8.62/6.31 tff(16405,plain,
% 8.62/6.31 (m_main_v_state2(s203, c_t2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16404, 518, 16304, 16383])).
% 8.62/6.31 tff(16406,plain,
% 8.62/6.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16407,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16408,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16407, 16406])).
% 8.62/6.31 tff(16409,plain,
% 8.62/6.31 (~m_main_v_state1(s202, c_t1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16408, 539, 16359])).
% 8.62/6.31 tff(16410,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16411,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16412,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16411, 16410])).
% 8.62/6.31 tff(16413,plain,
% 8.62/6.31 (~node5(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16412, 550, 16409])).
% 8.62/6.31 tff(16414,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16415,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16416,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 8.62/6.31 tff(16417,plain,
% 8.62/6.31 (~node4(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16416, 388, 16308])).
% 8.62/6.31 tff(16418,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16419,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16420,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16419, 16418])).
% 8.62/6.31 tff(16421,plain,
% 8.62/6.31 (~node3(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16420, 399, 16324])).
% 8.62/6.31 tff(16422,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16423,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16424,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 8.62/6.31 tff(16425,plain,
% 8.62/6.31 (~node2(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16424, 410, 16308])).
% 8.62/6.31 tff(16426,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16427,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16428,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16427, 16426])).
% 8.62/6.31 tff(16429,plain,
% 8.62/6.31 (~node1(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16428, 421, 16363])).
% 8.62/6.31 tff(16430,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16431,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16432,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 8.62/6.31 tff(16433,plain,
% 8.62/6.31 (node7(s202, s203)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16432, 206, 16374])).
% 8.62/6.31 tff(16434,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16435,plain,
% 8.62/6.31 (((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1)) <=> (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16436,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203))))),
% 8.62/6.31 inference(monotonicity,[status(thm)],[16435])).
% 8.62/6.31 tff(16437,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 8.62/6.31 inference(transitivity,[status(thm)],[16436, 16434])).
% 8.62/6.31 tff(16438,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16439,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 8.62/6.31 tff(16440,plain,
% 8.62/6.31 (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16439, 584, 16433])).
% 8.62/6.31 tff(16441,plain,
% 8.62/6.31 (m_main_v_state1(s203, c_n1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16440, 16429, 16359, 16425, 16421, 16417, 16413])).
% 8.62/6.31 tff(16442,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16443,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16444,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 8.62/6.31 tff(16445,plain,
% 8.62/6.31 (~node8(s203)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16444, 271, 16390])).
% 8.62/6.31 tff(16446,plain,
% 8.62/6.31 (succ(s203, s204) <=> succ(s203, s204)),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16447,axiom,(succ(s203, s204)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound204')).
% 8.62/6.31 tff(16448,plain,
% 8.62/6.31 (succ(s203, s204)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16447, 16446])).
% 8.62/6.31 tff(16449,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16450,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16451,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16450, 16449])).
% 8.62/6.31 tff(16452,plain,
% 8.62/6.31 (trans(s203, s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16451, 16448, 32])).
% 8.62/6.31 tff(16453,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16454,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16455,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 8.62/6.31 tff(16456,plain,
% 8.62/6.31 (node14(s203, s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16455, 46, 16452])).
% 8.62/6.31 tff(16457,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16458,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16459,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 8.62/6.31 tff(16460,plain,
% 8.62/6.31 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | m_main_v_state2(s204, c_c2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16459, 617, 16456])).
% 8.62/6.31 tff(16461,plain,
% 8.62/6.31 (m_main_v_state2(s204, c_c2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16460, 16445, 16441, 16405, 16398, 16394])).
% 8.62/6.31 tff(16462,plain,
% 8.62/6.31 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16463,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16464,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 8.62/6.31 tff(16465,plain,
% 8.62/6.31 (~m_main_v_state2(s204, c_t2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16464, 260, 16461])).
% 8.62/6.31 tff(16466,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s204, c_t2) | (~node12(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s204, c_t2) | (~node12(s204)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16467,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s204, c_t2) | (~node12(s204)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16468,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s204, c_t2) | (~node12(s204))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 8.62/6.31 tff(16469,plain,
% 8.62/6.31 (~node12(s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16468, 633, 16465])).
% 8.62/6.31 tff(16470,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s203, s204)) | node7(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s203, s204)) | node7(s203, s204))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16471,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s203, s204)) | node7(s203, s204))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16472,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s203, s204)) | node7(s203, s204)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16471, 16470])).
% 8.62/6.31 tff(16473,plain,
% 8.62/6.31 (node7(s203, s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16472, 206, 16452])).
% 8.62/6.31 tff(16474,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16475,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16476,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 8.62/6.31 tff(16477,plain,
% 8.62/6.31 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_state1(s204, c_t1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16476, 651, 16473])).
% 8.62/6.31 tff(16478,plain,
% 8.62/6.31 (m_main_v_state1(s204, c_t1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16477, 16405, 16441])).
% 8.62/6.31 tff(16479,plain,
% 8.62/6.31 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16480,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16481,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 8.62/6.31 tff(16482,plain,
% 8.62/6.31 (~m_main_v_state1(s204, c_n1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16481, 10, 16478])).
% 8.62/6.31 tff(16483,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s204, c_n1) | (~node11(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s204, c_n1) | (~node11(s204)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16484,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s204, c_n1) | (~node11(s204)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16485,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s204, c_n1) | (~node11(s204))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 8.62/6.31 tff(16486,plain,
% 8.62/6.31 (~node11(s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16485, 238, 16482])).
% 8.62/6.31 tff(16487,plain,
% 8.62/6.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16488,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16489,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 8.62/6.31 tff(16490,plain,
% 8.62/6.31 (~m_main_v_state1(s204, c_c1)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16489, 539, 16478])).
% 8.62/6.31 tff(16491,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s204, c_c1) | (~node10(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s204, c_c1) | (~node10(s204)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16492,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s204, c_c1) | (~node10(s204)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16493,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s204, c_c1) | (~node10(s204))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 8.62/6.31 tff(16494,plain,
% 8.62/6.31 (~node10(s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16493, 675, 16490])).
% 8.62/6.31 tff(16495,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s204, c_n1) | (~node9(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s204, c_n1) | (~node9(s204)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16496,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s204, c_n1) | (~node9(s204)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16497,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s204, c_n1) | (~node9(s204))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 8.62/6.31 tff(16498,plain,
% 8.62/6.31 (~node9(s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16497, 686, 16482])).
% 8.62/6.31 tff(16499,plain,
% 8.62/6.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16500,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16501,plain,
% 8.62/6.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 8.62/6.31 tff(16502,plain,
% 8.62/6.31 (~m_main_v_state2(s204, c_n2)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16501, 697, 16461])).
% 8.62/6.31 tff(16503,plain,
% 8.62/6.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s204, c_n2) | (~node8(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s204, c_n2) | (~node8(s204)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16504,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s204, c_n2) | (~node8(s204)))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16505,plain,
% 8.62/6.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s204, c_n2) | (~node8(s204))),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 8.62/6.31 tff(16506,plain,
% 8.62/6.31 (~node8(s204)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16505, 271, 16502])).
% 8.62/6.31 tff(16507,plain,
% 8.62/6.31 (succ(s204, s205) <=> succ(s204, s205)),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16508,axiom,(succ(s204, s205)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound205')).
% 8.62/6.31 tff(16509,plain,
% 8.62/6.31 (succ(s204, s205)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 8.62/6.31 tff(16510,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16511,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16512,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 8.62/6.31 tff(16513,plain,
% 8.62/6.31 (trans(s204, s205)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16512, 16509, 32])).
% 8.62/6.31 tff(16514,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s204, s205)) | node14(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s204, s205)) | node14(s204, s205))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16515,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s204, s205)) | node14(s204, s205))),
% 8.62/6.31 inference(quant_inst,[status(thm)],[])).
% 8.62/6.31 tff(16516,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s204, s205)) | node14(s204, s205)),
% 8.62/6.31 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 8.62/6.31 tff(16517,plain,
% 8.62/6.31 (node14(s204, s205)),
% 8.62/6.31 inference(unit_resolution,[status(thm)],[16516, 46, 16513])).
% 8.62/6.31 tff(16518,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16519,plain,
% 8.62/6.31 (((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2)) <=> (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(rewrite,[status(thm)],[])).
% 8.62/6.31 tff(16520,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2))))),
% 8.62/6.31 inference(monotonicity,[status(thm)],[16519])).
% 8.62/6.31 tff(16521,plain,
% 8.62/6.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 8.62/6.31 inference(transitivity,[status(thm)],[16520, 16518])).
% 8.62/6.31 tff(16522,plain,
% 8.62/6.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16523,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16522, 16521])).
% 8.62/6.32 tff(16524,plain,
% 8.62/6.32 (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~m_main_v_state2(s204, c_c2))),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16523, 726, 16517])).
% 8.62/6.32 tff(16525,plain,
% 8.62/6.32 (m_main_v_state2(s205, c_n2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16524, 16506, 16461, 16498, 16494, 16486, 16469])).
% 8.62/6.32 tff(16526,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16527,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16528,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 8.62/6.32 tff(16529,plain,
% 8.62/6.32 (~m_main_v_state2(s205, c_c2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16528, 697, 16525])).
% 8.62/6.32 tff(16530,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s205, c_c2) | (~node3(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s205, c_c2) | (~node3(s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16531,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s205, c_c2) | (~node3(s205)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16532,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s205, c_c2) | (~node3(s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 8.62/6.32 tff(16533,plain,
% 8.62/6.32 (~node3(s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16532, 399, 16529])).
% 8.62/6.32 tff(16534,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s204, c_n1) | (~node1(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s204, c_n1) | (~node1(s204)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16535,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s204, c_n1) | (~node1(s204)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16536,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s204, c_n1) | (~node1(s204))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 8.62/6.32 tff(16537,plain,
% 8.62/6.32 (~node1(s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16536, 421, 16482])).
% 8.62/6.32 tff(16538,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s203, s204)) | node18(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s203, s204)) | node18(s203, s204))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16539,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s203, s204)) | node18(s203, s204))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16540,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s203, s204)) | node18(s203, s204)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 8.62/6.32 tff(16541,plain,
% 8.62/6.32 (node18(s203, s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16540, 125, 16452])).
% 8.62/6.32 tff(16542,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16543,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16544,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 8.62/6.32 tff(16545,plain,
% 8.62/6.32 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_turn(s204, c_2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16544, 760, 16541])).
% 8.62/6.32 tff(16546,plain,
% 8.62/6.32 (m_main_v_turn(s204, c_2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16545, 16405, 16441])).
% 8.62/6.32 tff(16547,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16548,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16549,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16548, 16547])).
% 8.62/6.32 tff(16550,plain,
% 8.62/6.32 (~m_main_v_turn(s204, c_1)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16549, 156, 16546])).
% 8.62/6.32 tff(16551,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s204, c_1) | (~node5(s204)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s204, c_1) | (~node5(s204)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16552,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s204, c_1) | (~node5(s204)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16553,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s204, c_1) | (~node5(s204))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16552, 16551])).
% 8.62/6.32 tff(16554,plain,
% 8.62/6.32 (~node5(s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16553, 776, 16550])).
% 8.62/6.32 tff(16555,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s204, c_n1) | (~node2(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s204, c_n1) | (~node2(s204)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16556,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s204, c_n1) | (~node2(s204)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16557,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s204, c_n1) | (~node2(s204))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 8.62/6.32 tff(16558,plain,
% 8.62/6.32 (~node2(s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16557, 787, 16482])).
% 8.62/6.32 tff(16559,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s204, c_n1) | (~node3(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s204, c_n1) | (~node3(s204)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16560,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s204, c_n1) | (~node3(s204)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16561,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s204, c_n1) | (~node3(s204))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16560, 16559])).
% 8.62/6.32 tff(16562,plain,
% 8.62/6.32 (~node3(s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16561, 798, 16482])).
% 8.62/6.32 tff(16563,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s204, c_n2) | (~node4(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s204, c_n2) | (~node4(s204)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16564,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s204, c_n2) | (~node4(s204)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16565,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s204, c_n2) | (~node4(s204))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16564, 16563])).
% 8.62/6.32 tff(16566,plain,
% 8.62/6.32 (~node4(s204)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16565, 388, 16502])).
% 8.62/6.32 tff(16567,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s204, s205)) | node7(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s204, s205)) | node7(s204, s205))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16568,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s204, s205)) | node7(s204, s205))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16569,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s204, s205)) | node7(s204, s205)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 8.62/6.32 tff(16570,plain,
% 8.62/6.32 (node7(s204, s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16569, 206, 16513])).
% 8.62/6.32 tff(16571,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16572,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16573,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 8.62/6.32 tff(16574,plain,
% 8.62/6.32 (m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16573, 820, 16570])).
% 8.62/6.32 tff(16575,plain,
% 8.62/6.32 (node6(s204, s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16574, 16566, 16490, 16562, 16558, 16554, 16537])).
% 8.62/6.32 tff(16576,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16577,plain,
% 8.62/6.32 (((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1))) <=> (m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16578,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205))))),
% 8.62/6.32 inference(monotonicity,[status(thm)],[16577])).
% 8.62/6.32 tff(16579,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 8.62/6.32 inference(transitivity,[status(thm)],[16578, 16576])).
% 8.62/6.32 tff(16580,plain,
% 8.62/6.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16581,plain,
% 8.62/6.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 8.62/6.32 tff(16582,plain,
% 8.62/6.32 (~m_main_v_state1(s205, c_n1)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16581, 835, 16482, 16575])).
% 8.62/6.32 tff(16583,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s205, c_n1) | (~node2(s205)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s205, c_n1) | (~node2(s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16584,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s205, c_n1) | (~node2(s205)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16585,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s205, c_n1) | (~node2(s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 8.62/6.32 tff(16586,plain,
% 8.62/6.32 (~node2(s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16585, 787, 16582])).
% 8.62/6.32 tff(16587,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16588,plain,
% 8.62/6.32 (((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1)) <=> ((~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16589,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205))))),
% 8.62/6.32 inference(monotonicity,[status(thm)],[16588])).
% 8.62/6.32 tff(16590,plain,
% 8.62/6.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 8.62/6.32 inference(transitivity,[status(thm)],[16589, 16587])).
% 8.62/6.32 tff(16591,plain,
% 8.62/6.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16592,plain,
% 8.62/6.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16591, 16590])).
% 8.62/6.32 tff(16593,plain,
% 8.62/6.32 (m_main_v_state1(s205, c_t1)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16592, 856, 16478, 16575])).
% 8.62/6.32 tff(16594,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16595,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16596,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16595, 16594])).
% 8.62/6.32 tff(16597,plain,
% 8.62/6.32 (~m_main_v_state2(s205, c_t2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16596, 77, 16525])).
% 8.62/6.32 tff(16598,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s205, c_t2) | (~node1(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s205, c_t2) | (~node1(s205)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16599,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s205, c_t2) | (~node1(s205)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16600,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s205, c_t2) | (~node1(s205))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16599, 16598])).
% 8.62/6.32 tff(16601,plain,
% 8.62/6.32 (~node1(s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16600, 195, 16597])).
% 8.62/6.32 tff(16602,plain,
% 8.62/6.32 (succ(s205, s206) <=> succ(s205, s206)),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16603,axiom,(succ(s205, s206)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound206')).
% 8.62/6.32 tff(16604,plain,
% 8.62/6.32 (succ(s205, s206)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 8.62/6.32 tff(16605,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16606,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16607,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 8.62/6.32 tff(16608,plain,
% 8.62/6.32 (trans(s205, s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16607, 16604, 32])).
% 8.62/6.32 tff(16609,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s205, s206)) | node7(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s205, s206)) | node7(s205, s206))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16610,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s205, s206)) | node7(s205, s206))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16611,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s205, s206)) | node7(s205, s206)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 8.62/6.32 tff(16612,plain,
% 8.62/6.32 (node7(s205, s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16611, 206, 16608])).
% 8.62/6.32 tff(16613,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16614,plain,
% 8.62/6.32 (((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1)) <=> ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16615,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206))))),
% 8.62/6.32 inference(monotonicity,[status(thm)],[16614])).
% 8.62/6.32 tff(16616,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 8.62/6.32 inference(transitivity,[status(thm)],[16615, 16613])).
% 8.62/6.32 tff(16617,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16618,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 8.62/6.32 tff(16619,plain,
% 8.62/6.32 ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16618, 892, 16612])).
% 8.62/6.32 tff(16620,plain,
% 8.62/6.32 (m_main_v_state1(s206, c_c1)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16619, 16601, 16525, 16593, 16586, 16533])).
% 8.62/6.32 tff(16621,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16622,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16623,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16622, 16621])).
% 8.62/6.32 tff(16624,plain,
% 8.62/6.32 (~m_main_v_state1(s206, c_t1)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16623, 539, 16620])).
% 8.62/6.32 tff(16625,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s206, c_t1) | (~node5(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s206, c_t1) | (~node5(s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16626,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s206, c_t1) | (~node5(s206)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16627,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s206, c_t1) | (~node5(s206))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16626, 16625])).
% 8.62/6.32 tff(16628,plain,
% 8.62/6.32 (~node5(s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16627, 550, 16624])).
% 8.62/6.32 tff(16629,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s205, s206)) | node14(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s205, s206)) | node14(s205, s206))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16630,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s205, s206)) | node14(s205, s206))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16631,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s205, s206)) | node14(s205, s206)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16630, 16629])).
% 8.62/6.32 tff(16632,plain,
% 8.62/6.32 (node14(s205, s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16631, 46, 16608])).
% 8.62/6.32 tff(16633,plain,
% 8.62/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16634,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16635,plain,
% 8.62/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2)),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 8.62/6.32 tff(16636,plain,
% 8.62/6.32 ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state2(s206, c_t2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16635, 922, 16632])).
% 8.62/6.32 tff(16637,plain,
% 8.62/6.32 (m_main_v_state2(s206, c_t2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16636, 16593, 16525])).
% 8.62/6.32 tff(16638,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16639,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16640,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 8.62/6.32 tff(16641,plain,
% 8.62/6.32 (~m_main_v_state2(s206, c_n2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16640, 77, 16637])).
% 8.62/6.32 tff(16642,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s206, c_n2) | (~node4(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s206, c_n2) | (~node4(s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16643,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s206, c_n2) | (~node4(s206)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16644,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s206, c_n2) | (~node4(s206))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 8.62/6.32 tff(16645,plain,
% 8.62/6.32 (~node4(s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16644, 388, 16641])).
% 8.62/6.32 tff(16646,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16647,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16648,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16647, 16646])).
% 8.62/6.32 tff(16649,plain,
% 8.62/6.32 (~m_main_v_state2(s206, c_c2)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16648, 260, 16637])).
% 8.62/6.32 tff(16650,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s206, c_c2) | (~node3(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s206, c_c2) | (~node3(s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16651,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s206, c_c2) | (~node3(s206)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16652,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s206, c_c2) | (~node3(s206))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16651, 16650])).
% 8.62/6.32 tff(16653,plain,
% 8.62/6.32 (~node3(s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16652, 399, 16649])).
% 8.62/6.32 tff(16654,plain,
% 8.62/6.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s206, c_n2) | (~node2(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s206, c_n2) | (~node2(s206)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16655,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s206, c_n2) | (~node2(s206)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16656,plain,
% 8.62/6.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s206, c_n2) | (~node2(s206))),
% 8.62/6.32 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 8.62/6.32 tff(16657,plain,
% 8.62/6.32 (~node2(s206)),
% 8.62/6.32 inference(unit_resolution,[status(thm)],[16656, 410, 16641])).
% 8.62/6.32 tff(16658,plain,
% 8.62/6.32 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))),
% 8.62/6.32 inference(rewrite,[status(thm)],[])).
% 8.62/6.32 tff(16659,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))),
% 8.62/6.32 inference(quant_inst,[status(thm)],[])).
% 8.62/6.32 tff(16660,plain,
% 8.62/6.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 8.62/6.33 tff(16661,plain,
% 8.62/6.33 (~m_main_v_state1(s206, c_n1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16660, 454, 16620])).
% 8.62/6.33 tff(16662,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s206, c_n1) | (~node1(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s206, c_n1) | (~node1(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16663,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s206, c_n1) | (~node1(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16664,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s206, c_n1) | (~node1(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16663, 16662])).
% 8.62/6.33 tff(16665,plain,
% 8.62/6.33 (~node1(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16664, 421, 16661])).
% 8.62/6.33 tff(16666,plain,
% 8.62/6.33 (succ(s206, s207) <=> succ(s206, s207)),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16667,axiom,(succ(s206, s207)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound207')).
% 8.62/6.33 tff(16668,plain,
% 8.62/6.33 (succ(s206, s207)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 8.62/6.33 tff(16669,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16670,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16671,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16670, 16669])).
% 8.62/6.33 tff(16672,plain,
% 8.62/6.33 (trans(s206, s207)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16671, 16668, 32])).
% 8.62/6.33 tff(16673,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s206, s207)) | node7(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s206, s207)) | node7(s206, s207))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16674,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s206, s207)) | node7(s206, s207))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16675,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s206, s207)) | node7(s206, s207)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 8.62/6.33 tff(16676,plain,
% 8.62/6.33 (node7(s206, s207)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16675, 206, 16672])).
% 8.62/6.33 tff(16677,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16678,plain,
% 8.62/6.33 (((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1)) <=> (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16679,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207))))),
% 8.62/6.33 inference(monotonicity,[status(thm)],[16678])).
% 8.62/6.33 tff(16680,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 8.62/6.33 inference(transitivity,[status(thm)],[16679, 16677])).
% 8.62/6.33 tff(16681,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16682,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16681, 16680])).
% 8.62/6.33 tff(16683,plain,
% 8.62/6.33 (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16682, 584, 16676])).
% 8.62/6.33 tff(16684,plain,
% 8.62/6.33 (m_main_v_state1(s207, c_n1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16683, 16665, 16620, 16657, 16653, 16645, 16628])).
% 8.62/6.33 tff(16685,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s205, c_t2) | (~node15(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s205, c_t2) | (~node15(s205)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16686,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s205, c_t2) | (~node15(s205)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16687,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s205, c_t2) | (~node15(s205))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 8.62/6.33 tff(16688,plain,
% 8.62/6.33 (~node15(s205)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16687, 103, 16597])).
% 8.62/6.33 tff(16689,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s205, s206)) | node18(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s205, s206)) | node18(s205, s206))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16690,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s205, s206)) | node18(s205, s206))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16691,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s205, s206)) | node18(s205, s206)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 8.62/6.33 tff(16692,plain,
% 8.62/6.33 (node18(s205, s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16691, 125, 16608])).
% 8.62/6.33 tff(16693,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16694,plain,
% 8.62/6.33 (((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1)) <=> (node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16695,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)))),
% 8.62/6.33 inference(monotonicity,[status(thm)],[16694])).
% 8.62/6.33 tff(16696,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 8.62/6.33 inference(transitivity,[status(thm)],[16695, 16693])).
% 8.62/6.33 tff(16697,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16698,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16697, 16696])).
% 8.62/6.33 tff(16699,plain,
% 8.62/6.33 (node15(s205) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16698, 992, 16692])).
% 8.62/6.33 tff(16700,plain,
% 8.62/6.33 (m_main_v_turn(s206, c_1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16699, 16688, 16525, 16593])).
% 8.62/6.33 tff(16701,plain,
% 8.62/6.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16702,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16703,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16702, 16701])).
% 8.62/6.33 tff(16704,plain,
% 8.62/6.33 (~m_main_v_turn(s206, c_2)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16703, 156, 16700])).
% 8.62/6.33 tff(16705,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s206, c_2) | (~node12(s206)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s206, c_2) | (~node12(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16706,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s206, c_2) | (~node12(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16707,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s206, c_2) | (~node12(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 8.62/6.33 tff(16708,plain,
% 8.62/6.33 (~node12(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16707, 184, 16704])).
% 8.62/6.33 tff(16709,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s206, c_n2) | (~node8(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s206, c_n2) | (~node8(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16710,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s206, c_n2) | (~node8(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16711,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s206, c_n2) | (~node8(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 8.62/6.33 tff(16712,plain,
% 8.62/6.33 (~node8(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16711, 271, 16641])).
% 8.62/6.33 tff(16713,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s206, c_n2) | (~node9(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s206, c_n2) | (~node9(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16714,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s206, c_n2) | (~node9(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16715,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s206, c_n2) | (~node9(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 8.62/6.33 tff(16716,plain,
% 8.62/6.33 (~node9(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16715, 88, 16641])).
% 8.62/6.33 tff(16717,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s206, c_n2) | (~node10(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s206, c_n2) | (~node10(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16718,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s206, c_n2) | (~node10(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16719,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s206, c_n2) | (~node10(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 8.62/6.33 tff(16720,plain,
% 8.62/6.33 (~node10(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16719, 249, 16641])).
% 8.62/6.33 tff(16721,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s206, c_n1) | (~node11(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s206, c_n1) | (~node11(s206)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16722,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s206, c_n1) | (~node11(s206)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16723,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s206, c_n1) | (~node11(s206))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 8.62/6.33 tff(16724,plain,
% 8.62/6.33 (~node11(s206)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16723, 238, 16661])).
% 8.62/6.33 tff(16725,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s206, s207)) | node14(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s206, s207)) | node14(s206, s207))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16726,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s206, s207)) | node14(s206, s207))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16727,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s206, s207)) | node14(s206, s207)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16726, 16725])).
% 8.62/6.33 tff(16728,plain,
% 8.62/6.33 (node14(s206, s207)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16727, 46, 16672])).
% 8.62/6.33 tff(16729,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16730,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16731,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 8.62/6.33 tff(16732,plain,
% 8.62/6.33 (m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16731, 296, 16728])).
% 8.62/6.33 tff(16733,plain,
% 8.62/6.33 (node13(s206, s207)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16732, 16724, 16649, 16720, 16716, 16712, 16708])).
% 8.62/6.33 tff(16734,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16735,plain,
% 8.62/6.33 (((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2)) <=> ((~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16736,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207))))),
% 8.62/6.33 inference(monotonicity,[status(thm)],[16735])).
% 8.62/6.33 tff(16737,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 8.62/6.33 inference(transitivity,[status(thm)],[16736, 16734])).
% 8.62/6.33 tff(16738,plain,
% 8.62/6.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16739,plain,
% 8.62/6.33 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 8.62/6.33 tff(16740,plain,
% 8.62/6.33 (m_main_v_state2(s207, c_t2)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16739, 518, 16637, 16733])).
% 8.62/6.33 tff(16741,plain,
% 8.62/6.33 (succ(s207, s208) <=> succ(s207, s208)),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16742,axiom,(succ(s207, s208)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound208')).
% 8.62/6.33 tff(16743,plain,
% 8.62/6.33 (succ(s207, s208)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 8.62/6.33 tff(16744,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16745,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16746,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 8.62/6.33 tff(16747,plain,
% 8.62/6.33 (trans(s207, s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16746, 16743, 32])).
% 8.62/6.33 tff(16748,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s207, s208)) | node7(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s207, s208)) | node7(s207, s208))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16749,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s207, s208)) | node7(s207, s208))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16750,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s207, s208)) | node7(s207, s208)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 8.62/6.33 tff(16751,plain,
% 8.62/6.33 (node7(s207, s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16750, 206, 16747])).
% 8.62/6.33 tff(16752,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16753,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16754,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16753, 16752])).
% 8.62/6.33 tff(16755,plain,
% 8.62/6.33 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_state1(s208, c_t1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16754, 651, 16751])).
% 8.62/6.33 tff(16756,plain,
% 8.62/6.33 (m_main_v_state1(s208, c_t1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16755, 16740, 16684])).
% 8.62/6.33 tff(16757,plain,
% 8.62/6.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16758,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16759,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 8.62/6.33 tff(16760,plain,
% 8.62/6.33 (~m_main_v_state1(s208, c_n1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16759, 10, 16756])).
% 8.62/6.33 tff(16761,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s208, c_n1) | (~node1(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s208, c_n1) | (~node1(s208)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16762,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s208, c_n1) | (~node1(s208)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16763,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s208, c_n1) | (~node1(s208))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 8.62/6.33 tff(16764,plain,
% 8.62/6.33 (~node1(s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16763, 421, 16760])).
% 8.62/6.33 tff(16765,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s207, s208)) | node18(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s207, s208)) | node18(s207, s208))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16766,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s207, s208)) | node18(s207, s208))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16767,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s207, s208)) | node18(s207, s208)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 8.62/6.33 tff(16768,plain,
% 8.62/6.33 (node18(s207, s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16767, 125, 16747])).
% 8.62/6.33 tff(16769,plain,
% 8.62/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16770,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16771,plain,
% 8.62/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2)),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 8.62/6.33 tff(16772,plain,
% 8.62/6.33 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_turn(s208, c_2)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16771, 760, 16768])).
% 8.62/6.33 tff(16773,plain,
% 8.62/6.33 (m_main_v_turn(s208, c_2)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16772, 16740, 16684])).
% 8.62/6.33 tff(16774,plain,
% 8.62/6.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16775,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16776,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 8.62/6.33 tff(16777,plain,
% 8.62/6.33 (~m_main_v_turn(s208, c_1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16776, 156, 16773])).
% 8.62/6.33 tff(16778,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s208, c_1) | (~node5(s208)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s208, c_1) | (~node5(s208)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16779,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s208, c_1) | (~node5(s208)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16780,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s208, c_1) | (~node5(s208))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 8.62/6.33 tff(16781,plain,
% 8.62/6.33 (~node5(s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16780, 776, 16777])).
% 8.62/6.33 tff(16782,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s208, c_n1) | (~node2(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s208, c_n1) | (~node2(s208)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16783,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s208, c_n1) | (~node2(s208)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16784,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s208, c_n1) | (~node2(s208))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 8.62/6.33 tff(16785,plain,
% 8.62/6.33 (~node2(s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16784, 787, 16760])).
% 8.62/6.33 tff(16786,plain,
% 8.62/6.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s208, c_n1) | (~node3(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s208, c_n1) | (~node3(s208)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16787,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s208, c_n1) | (~node3(s208)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16788,plain,
% 8.62/6.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s208, c_n1) | (~node3(s208))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 8.62/6.33 tff(16789,plain,
% 8.62/6.33 (~node3(s208)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16788, 798, 16760])).
% 8.62/6.33 tff(16790,plain,
% 8.62/6.33 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16791,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))),
% 8.62/6.33 inference(quant_inst,[status(thm)],[])).
% 8.62/6.33 tff(16792,plain,
% 8.62/6.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1))),
% 8.62/6.33 inference(modus_ponens,[status(thm)],[16791, 16790])).
% 8.62/6.33 tff(16793,plain,
% 8.62/6.33 (~m_main_v_state1(s208, c_c1)),
% 8.62/6.33 inference(unit_resolution,[status(thm)],[16792, 539, 16756])).
% 8.62/6.33 tff(16794,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16795,plain,
% 8.62/6.33 (((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2))) <=> (m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 8.62/6.33 inference(rewrite,[status(thm)],[])).
% 8.62/6.33 tff(16796,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207))))),
% 8.62/6.33 inference(monotonicity,[status(thm)],[16795])).
% 8.62/6.33 tff(16797,plain,
% 8.62/6.33 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 8.62/6.34 inference(transitivity,[status(thm)],[16796, 16794])).
% 8.62/6.34 tff(16798,plain,
% 8.62/6.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16799,plain,
% 8.62/6.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 8.62/6.34 tff(16800,plain,
% 8.62/6.34 (~m_main_v_state2(s207, c_n2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16799, 311, 16641, 16733])).
% 8.62/6.34 tff(16801,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s207, c_n2) | (~node9(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s207, c_n2) | (~node9(s207)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16802,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s207, c_n2) | (~node9(s207)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16803,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s207, c_n2) | (~node9(s207))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16802, 16801])).
% 8.62/6.34 tff(16804,plain,
% 8.62/6.34 (~node9(s207)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16803, 88, 16800])).
% 8.62/6.34 tff(16805,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s207, c_n2) | (~node10(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s207, c_n2) | (~node10(s207)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16806,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s207, c_n2) | (~node10(s207)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16807,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s207, c_n2) | (~node10(s207))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 8.62/6.34 tff(16808,plain,
% 8.62/6.34 (~node10(s207)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16807, 249, 16800])).
% 8.62/6.34 tff(16809,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s207, c_n2) | (~node8(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s207, c_n2) | (~node8(s207)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16810,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s207, c_n2) | (~node8(s207)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16811,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s207, c_n2) | (~node8(s207))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 8.62/6.34 tff(16812,plain,
% 8.62/6.34 (~node8(s207)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16811, 271, 16800])).
% 8.62/6.34 tff(16813,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s207, s208)) | node14(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s207, s208)) | node14(s207, s208))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16814,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s207, s208)) | node14(s207, s208))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16815,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s207, s208)) | node14(s207, s208)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 8.62/6.34 tff(16816,plain,
% 8.62/6.34 (node14(s207, s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16815, 46, 16747])).
% 8.62/6.34 tff(16817,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16818,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16819,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 8.62/6.34 tff(16820,plain,
% 8.62/6.34 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | m_main_v_state2(s208, c_c2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16819, 617, 16816])).
% 8.62/6.34 tff(16821,plain,
% 8.62/6.34 (m_main_v_state2(s208, c_c2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16820, 16812, 16684, 16740, 16808, 16804])).
% 8.62/6.34 tff(16822,plain,
% 8.62/6.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16823,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16824,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16823, 16822])).
% 8.62/6.34 tff(16825,plain,
% 8.62/6.34 (~m_main_v_state2(s208, c_n2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16824, 697, 16821])).
% 8.62/6.34 tff(16826,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s208, c_n2) | (~node4(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s208, c_n2) | (~node4(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16827,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s208, c_n2) | (~node4(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16828,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s208, c_n2) | (~node4(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 8.62/6.34 tff(16829,plain,
% 8.62/6.34 (~node4(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16828, 388, 16825])).
% 8.62/6.34 tff(16830,plain,
% 8.62/6.34 (succ(s208, s209) <=> succ(s208, s209)),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16831,axiom,(succ(s208, s209)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound209')).
% 8.62/6.34 tff(16832,plain,
% 8.62/6.34 (succ(s208, s209)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16831, 16830])).
% 8.62/6.34 tff(16833,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16834,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16835,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 8.62/6.34 tff(16836,plain,
% 8.62/6.34 (trans(s208, s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16835, 16832, 32])).
% 8.62/6.34 tff(16837,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s208, s209)) | node7(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s208, s209)) | node7(s208, s209))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16838,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s208, s209)) | node7(s208, s209))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16839,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s208, s209)) | node7(s208, s209)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16838, 16837])).
% 8.62/6.34 tff(16840,plain,
% 8.62/6.34 (node7(s208, s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16839, 206, 16836])).
% 8.62/6.34 tff(16841,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16842,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16843,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 8.62/6.34 tff(16844,plain,
% 8.62/6.34 (m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16843, 820, 16840])).
% 8.62/6.34 tff(16845,plain,
% 8.62/6.34 (node6(s208, s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16844, 16829, 16793, 16789, 16785, 16781, 16764])).
% 8.62/6.34 tff(16846,plain,
% 8.62/6.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16847,plain,
% 8.62/6.34 (((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1)) <=> ((~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16848,plain,
% 8.62/6.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209))))),
% 8.62/6.34 inference(monotonicity,[status(thm)],[16847])).
% 8.62/6.34 tff(16849,plain,
% 8.62/6.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 8.62/6.34 inference(transitivity,[status(thm)],[16848, 16846])).
% 8.62/6.34 tff(16850,plain,
% 8.62/6.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16851,plain,
% 8.62/6.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 8.62/6.34 tff(16852,plain,
% 8.62/6.34 (m_main_v_state1(s209, c_t1)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16851, 856, 16756, 16845])).
% 8.62/6.34 tff(16853,plain,
% 8.62/6.34 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16854,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16855,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16854, 16853])).
% 8.62/6.34 tff(16856,plain,
% 8.62/6.34 (~m_main_v_state2(s208, c_t2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16855, 260, 16821])).
% 8.62/6.34 tff(16857,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s208, c_t2) | (~node12(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s208, c_t2) | (~node12(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16858,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s208, c_t2) | (~node12(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16859,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s208, c_t2) | (~node12(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 8.62/6.34 tff(16860,plain,
% 8.62/6.34 (~node12(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16859, 633, 16856])).
% 8.62/6.34 tff(16861,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s208, c_n1) | (~node11(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s208, c_n1) | (~node11(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16862,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s208, c_n1) | (~node11(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16863,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s208, c_n1) | (~node11(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16862, 16861])).
% 8.62/6.34 tff(16864,plain,
% 8.62/6.34 (~node11(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16863, 238, 16760])).
% 8.62/6.34 tff(16865,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s208, c_c1) | (~node10(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s208, c_c1) | (~node10(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16866,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s208, c_c1) | (~node10(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16867,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s208, c_c1) | (~node10(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 8.62/6.34 tff(16868,plain,
% 8.62/6.34 (~node10(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16867, 675, 16793])).
% 8.62/6.34 tff(16869,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s208, c_n1) | (~node9(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s208, c_n1) | (~node9(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16870,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s208, c_n1) | (~node9(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16871,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s208, c_n1) | (~node9(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16870, 16869])).
% 8.62/6.34 tff(16872,plain,
% 8.62/6.34 (~node9(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16871, 686, 16760])).
% 8.62/6.34 tff(16873,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s208, c_n2) | (~node8(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s208, c_n2) | (~node8(s208)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16874,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s208, c_n2) | (~node8(s208)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16875,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s208, c_n2) | (~node8(s208))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 8.62/6.34 tff(16876,plain,
% 8.62/6.34 (~node8(s208)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16875, 271, 16825])).
% 8.62/6.34 tff(16877,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s208, s209)) | node14(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s208, s209)) | node14(s208, s209))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16878,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s208, s209)) | node14(s208, s209))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16879,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s208, s209)) | node14(s208, s209)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 8.62/6.34 tff(16880,plain,
% 8.62/6.34 (node14(s208, s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16879, 46, 16836])).
% 8.62/6.34 tff(16881,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16882,plain,
% 8.62/6.34 (((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2)) <=> (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16883,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2))))),
% 8.62/6.34 inference(monotonicity,[status(thm)],[16882])).
% 8.62/6.34 tff(16884,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 8.62/6.34 inference(transitivity,[status(thm)],[16883, 16881])).
% 8.62/6.34 tff(16885,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16886,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 8.62/6.34 tff(16887,plain,
% 8.62/6.34 (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~m_main_v_state2(s208, c_c2))),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16886, 726, 16880])).
% 8.62/6.34 tff(16888,plain,
% 8.62/6.34 (m_main_v_state2(s209, c_n2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16887, 16876, 16821, 16872, 16868, 16864, 16860])).
% 8.62/6.34 tff(16889,plain,
% 8.62/6.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16890,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16891,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 8.62/6.34 tff(16892,plain,
% 8.62/6.34 (~m_main_v_state2(s209, c_t2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16891, 77, 16888])).
% 8.62/6.34 tff(16893,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s209, c_t2) | (~node15(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s209, c_t2) | (~node15(s209)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16894,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s209, c_t2) | (~node15(s209)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16895,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s209, c_t2) | (~node15(s209))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 8.62/6.34 tff(16896,plain,
% 8.62/6.34 (~node15(s209)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16895, 103, 16892])).
% 8.62/6.34 tff(16897,plain,
% 8.62/6.34 (succ(s209, s210) <=> succ(s209, s210)),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16898,axiom,(succ(s209, s210)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound210')).
% 8.62/6.34 tff(16899,plain,
% 8.62/6.34 (succ(s209, s210)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 8.62/6.34 tff(16900,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16901,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16902,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16901, 16900])).
% 8.62/6.34 tff(16903,plain,
% 8.62/6.34 (trans(s209, s210)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16902, 16899, 32])).
% 8.62/6.34 tff(16904,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s209, s210)) | node18(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s209, s210)) | node18(s209, s210))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16905,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s209, s210)) | node18(s209, s210))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16906,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s209, s210)) | node18(s209, s210)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 8.62/6.34 tff(16907,plain,
% 8.62/6.34 (node18(s209, s210)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16906, 125, 16903])).
% 8.62/6.34 tff(16908,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16909,plain,
% 8.62/6.34 (((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1)) <=> (node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16910,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)))),
% 8.62/6.34 inference(monotonicity,[status(thm)],[16909])).
% 8.62/6.34 tff(16911,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 8.62/6.34 inference(transitivity,[status(thm)],[16910, 16908])).
% 8.62/6.34 tff(16912,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16913,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16912, 16911])).
% 8.62/6.34 tff(16914,plain,
% 8.62/6.34 (node15(s209) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16913, 992, 16907])).
% 8.62/6.34 tff(16915,plain,
% 8.62/6.34 (m_main_v_turn(s210, c_1)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16914, 16896, 16888, 16852])).
% 8.62/6.34 tff(16916,plain,
% 8.62/6.34 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16917,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16918,plain,
% 8.62/6.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 8.62/6.34 tff(16919,plain,
% 8.62/6.34 (~m_main_v_turn(s210, c_2)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16918, 156, 16915])).
% 8.62/6.34 tff(16920,plain,
% 8.62/6.34 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s210, c_2) | (~node12(s210)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s210, c_2) | (~node12(s210)))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16921,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s210, c_2) | (~node12(s210)))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16922,plain,
% 8.62/6.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s210, c_2) | (~node12(s210))),
% 8.62/6.34 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 8.62/6.34 tff(16923,plain,
% 8.62/6.34 (~node12(s210)),
% 8.62/6.34 inference(unit_resolution,[status(thm)],[16922, 184, 16919])).
% 8.62/6.34 tff(16924,plain,
% 8.62/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s209, s210)) | node14(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s209, s210)) | node14(s209, s210))),
% 8.62/6.34 inference(rewrite,[status(thm)],[])).
% 8.62/6.34 tff(16925,plain,
% 8.62/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s209, s210)) | node14(s209, s210))),
% 8.62/6.34 inference(quant_inst,[status(thm)],[])).
% 8.62/6.34 tff(16926,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s209, s210)) | node14(s209, s210)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 8.62/6.35 tff(16927,plain,
% 8.62/6.35 (node14(s209, s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16926, 46, 16903])).
% 8.62/6.35 tff(16928,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16929,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16930,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 8.62/6.35 tff(16931,plain,
% 8.62/6.35 ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state2(s210, c_t2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16930, 922, 16927])).
% 8.62/6.35 tff(16932,plain,
% 8.62/6.35 (m_main_v_state2(s210, c_t2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16931, 16852, 16888])).
% 8.62/6.35 tff(16933,plain,
% 8.62/6.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16934,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16935,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 8.62/6.35 tff(16936,plain,
% 8.62/6.35 (~m_main_v_state2(s210, c_n2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16935, 77, 16932])).
% 8.62/6.35 tff(16937,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s210, c_n2) | (~node8(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s210, c_n2) | (~node8(s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16938,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s210, c_n2) | (~node8(s210)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16939,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s210, c_n2) | (~node8(s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16938, 16937])).
% 8.62/6.35 tff(16940,plain,
% 8.62/6.35 (~node8(s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16939, 271, 16936])).
% 8.62/6.35 tff(16941,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s210, c_n2) | (~node9(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s210, c_n2) | (~node9(s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16942,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s210, c_n2) | (~node9(s210)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16943,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s210, c_n2) | (~node9(s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16942, 16941])).
% 8.62/6.35 tff(16944,plain,
% 8.62/6.35 (~node9(s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16943, 88, 16936])).
% 8.62/6.35 tff(16945,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s210, c_n2) | (~node10(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s210, c_n2) | (~node10(s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16946,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s210, c_n2) | (~node10(s210)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16947,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s210, c_n2) | (~node10(s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16946, 16945])).
% 8.62/6.35 tff(16948,plain,
% 8.62/6.35 (~node10(s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16947, 249, 16936])).
% 8.62/6.35 tff(16949,plain,
% 8.62/6.35 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16950,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16951,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 8.62/6.35 tff(16952,plain,
% 8.62/6.35 (~m_main_v_state2(s210, c_c2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16951, 260, 16932])).
% 8.62/6.35 tff(16953,plain,
% 8.62/6.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16954,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16955,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 8.62/6.35 tff(16956,plain,
% 8.62/6.35 (~m_main_v_state2(s209, c_c2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16955, 697, 16888])).
% 8.62/6.35 tff(16957,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s209, c_c2) | (~node3(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s209, c_c2) | (~node3(s209)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16958,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s209, c_c2) | (~node3(s209)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16959,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s209, c_c2) | (~node3(s209))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 8.62/6.35 tff(16960,plain,
% 8.62/6.35 (~node3(s209)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16959, 399, 16956])).
% 8.62/6.35 tff(16961,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16962,plain,
% 8.62/6.35 (((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1))) <=> (m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16963,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209))))),
% 8.62/6.35 inference(monotonicity,[status(thm)],[16962])).
% 8.62/6.35 tff(16964,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 8.62/6.35 inference(transitivity,[status(thm)],[16963, 16961])).
% 8.62/6.35 tff(16965,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16966,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 8.62/6.35 tff(16967,plain,
% 8.62/6.35 (~m_main_v_state1(s209, c_n1)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16966, 835, 16760, 16845])).
% 8.62/6.35 tff(16968,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s209, c_n1) | (~node2(s209)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s209, c_n1) | (~node2(s209)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16969,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s209, c_n1) | (~node2(s209)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16970,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s209, c_n1) | (~node2(s209))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 8.62/6.35 tff(16971,plain,
% 8.62/6.35 (~node2(s209)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16970, 787, 16967])).
% 8.62/6.35 tff(16972,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s209, c_t2) | (~node1(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s209, c_t2) | (~node1(s209)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16973,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s209, c_t2) | (~node1(s209)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16974,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s209, c_t2) | (~node1(s209))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 8.62/6.35 tff(16975,plain,
% 8.62/6.35 (~node1(s209)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16974, 195, 16892])).
% 8.62/6.35 tff(16976,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s209, s210)) | node7(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s209, s210)) | node7(s209, s210))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16977,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s209, s210)) | node7(s209, s210))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16978,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s209, s210)) | node7(s209, s210)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 8.62/6.35 tff(16979,plain,
% 8.62/6.35 (node7(s209, s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16978, 206, 16903])).
% 8.62/6.35 tff(16980,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16981,plain,
% 8.62/6.35 (((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1)) <=> ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16982,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210))))),
% 8.62/6.35 inference(monotonicity,[status(thm)],[16981])).
% 8.62/6.35 tff(16983,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 8.62/6.35 inference(transitivity,[status(thm)],[16982, 16980])).
% 8.62/6.35 tff(16984,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16985,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16984, 16983])).
% 8.62/6.35 tff(16986,plain,
% 8.62/6.35 ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16985, 892, 16979])).
% 8.62/6.35 tff(16987,plain,
% 8.62/6.35 (m_main_v_state1(s210, c_c1)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16986, 16975, 16888, 16852, 16971, 16960])).
% 8.62/6.35 tff(16988,plain,
% 8.62/6.35 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16989,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16990,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 8.62/6.35 tff(16991,plain,
% 8.62/6.35 (~m_main_v_state1(s210, c_n1)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16990, 454, 16987])).
% 8.62/6.35 tff(16992,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s210, c_n1) | (~node11(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s210, c_n1) | (~node11(s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16993,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s210, c_n1) | (~node11(s210)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(16994,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s210, c_n1) | (~node11(s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 8.62/6.35 tff(16995,plain,
% 8.62/6.35 (~node11(s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[16994, 238, 16991])).
% 8.62/6.35 tff(16996,plain,
% 8.62/6.35 (succ(s210, s211) <=> succ(s210, s211)),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(16997,axiom,(succ(s210, s211)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound211')).
% 8.62/6.35 tff(16998,plain,
% 8.62/6.35 (succ(s210, s211)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 8.62/6.35 tff(16999,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17000,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17001,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 8.62/6.35 tff(17002,plain,
% 8.62/6.35 (trans(s210, s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17001, 16998, 32])).
% 8.62/6.35 tff(17003,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s210, s211)) | node14(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s210, s211)) | node14(s210, s211))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17004,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s210, s211)) | node14(s210, s211))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17005,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s210, s211)) | node14(s210, s211)),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 8.62/6.35 tff(17006,plain,
% 8.62/6.35 (node14(s210, s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17005, 46, 17002])).
% 8.62/6.35 tff(17007,plain,
% 8.62/6.35 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17008,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17009,plain,
% 8.62/6.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17008, 17007])).
% 8.62/6.35 tff(17010,plain,
% 8.62/6.35 (m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17009, 296, 17006])).
% 8.62/6.35 tff(17011,plain,
% 8.62/6.35 (node13(s210, s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17010, 16995, 16952, 16948, 16944, 16940, 16923])).
% 8.62/6.35 tff(17012,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17013,plain,
% 8.62/6.35 (((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2))) <=> (m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17014,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211))))),
% 8.62/6.35 inference(monotonicity,[status(thm)],[17013])).
% 8.62/6.35 tff(17015,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 8.62/6.35 inference(transitivity,[status(thm)],[17014, 17012])).
% 8.62/6.35 tff(17016,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17017,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 8.62/6.35 tff(17018,plain,
% 8.62/6.35 (~m_main_v_state2(s211, c_n2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17017, 311, 16936, 17011])).
% 8.62/6.35 tff(17019,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s211, c_n2) | (~node9(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s211, c_n2) | (~node9(s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17020,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s211, c_n2) | (~node9(s211)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17021,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s211, c_n2) | (~node9(s211))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 8.62/6.35 tff(17022,plain,
% 8.62/6.35 (~node9(s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17021, 88, 17018])).
% 8.62/6.35 tff(17023,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s211, c_n2) | (~node10(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s211, c_n2) | (~node10(s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17024,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s211, c_n2) | (~node10(s211)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17025,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s211, c_n2) | (~node10(s211))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17024, 17023])).
% 8.62/6.35 tff(17026,plain,
% 8.62/6.35 (~node10(s211)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17025, 249, 17018])).
% 8.62/6.35 tff(17027,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17028,plain,
% 8.62/6.35 (((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2)) <=> ((~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17029,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211))))),
% 8.62/6.35 inference(monotonicity,[status(thm)],[17028])).
% 8.62/6.35 tff(17030,plain,
% 8.62/6.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 8.62/6.35 inference(transitivity,[status(thm)],[17029, 17027])).
% 8.62/6.35 tff(17031,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17032,plain,
% 8.62/6.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 8.62/6.35 tff(17033,plain,
% 8.62/6.35 (m_main_v_state2(s211, c_t2)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17032, 518, 16932, 17011])).
% 8.62/6.35 tff(17034,plain,
% 8.62/6.35 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17035,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17036,plain,
% 8.62/6.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 8.62/6.35 tff(17037,plain,
% 8.62/6.35 (~m_main_v_state1(s210, c_t1)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17036, 539, 16987])).
% 8.62/6.35 tff(17038,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s210, c_t1) | (~node5(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s210, c_t1) | (~node5(s210)))),
% 8.62/6.35 inference(rewrite,[status(thm)],[])).
% 8.62/6.35 tff(17039,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s210, c_t1) | (~node5(s210)))),
% 8.62/6.35 inference(quant_inst,[status(thm)],[])).
% 8.62/6.35 tff(17040,plain,
% 8.62/6.35 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s210, c_t1) | (~node5(s210))),
% 8.62/6.35 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 8.62/6.35 tff(17041,plain,
% 8.62/6.35 (~node5(s210)),
% 8.62/6.35 inference(unit_resolution,[status(thm)],[17040, 550, 17037])).
% 8.62/6.35 tff(17042,plain,
% 8.62/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s210, c_n2) | (~node4(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s210, c_n2) | (~node4(s210)))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(17043,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s210, c_n2) | (~node4(s210)))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(17044,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s210, c_n2) | (~node4(s210))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 8.72/6.35 tff(17045,plain,
% 8.72/6.35 (~node4(s210)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[17044, 388, 16936])).
% 8.72/6.35 tff(17046,plain,
% 8.72/6.35 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s210, c_c2) | (~node3(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s210, c_c2) | (~node3(s210)))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(17047,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s210, c_c2) | (~node3(s210)))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(17048,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s210, c_c2) | (~node3(s210))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[17047, 17046])).
% 8.72/6.35 tff(17049,plain,
% 8.72/6.35 (~node3(s210)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[17048, 399, 16952])).
% 8.72/6.35 tff(17050,plain,
% 8.72/6.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s210, c_n2) | (~node2(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s210, c_n2) | (~node2(s210)))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(17051,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s210, c_n2) | (~node2(s210)))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(17052,plain,
% 8.72/6.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s210, c_n2) | (~node2(s210))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[17051, 17050])).
% 8.72/6.35 tff(17053,plain,
% 8.72/6.35 (~node2(s210)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[17052, 410, 16936])).
% 8.72/6.35 tff(17054,plain,
% 8.72/6.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s210, c_n1) | (~node1(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s210, c_n1) | (~node1(s210)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17055,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s210, c_n1) | (~node1(s210)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17056,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s210, c_n1) | (~node1(s210))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 8.72/6.36 tff(17057,plain,
% 8.72/6.36 (~node1(s210)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17056, 421, 16991])).
% 8.72/6.36 tff(17058,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s210, s211)) | node7(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s210, s211)) | node7(s210, s211))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17059,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s210, s211)) | node7(s210, s211))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17060,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s210, s211)) | node7(s210, s211)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17059, 17058])).
% 8.72/6.36 tff(17061,plain,
% 8.72/6.36 (node7(s210, s211)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17060, 206, 17002])).
% 8.72/6.36 tff(17062,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17063,plain,
% 8.72/6.36 (((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1)) <=> (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17064,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211))))),
% 8.72/6.36 inference(monotonicity,[status(thm)],[17063])).
% 8.72/6.36 tff(17065,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 8.72/6.36 inference(transitivity,[status(thm)],[17064, 17062])).
% 8.72/6.36 tff(17066,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17067,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 8.72/6.36 tff(17068,plain,
% 8.72/6.36 (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17067, 584, 17061])).
% 8.72/6.36 tff(17069,plain,
% 8.72/6.36 (m_main_v_state1(s211, c_n1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17068, 17057, 16987, 17053, 17049, 17045, 17041])).
% 8.72/6.36 tff(17070,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s211, c_n2) | (~node8(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s211, c_n2) | (~node8(s211)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17071,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s211, c_n2) | (~node8(s211)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17072,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s211, c_n2) | (~node8(s211))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 8.72/6.36 tff(17073,plain,
% 8.72/6.36 (~node8(s211)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17072, 271, 17018])).
% 8.72/6.36 tff(17074,plain,
% 8.72/6.36 (succ(s211, s212) <=> succ(s211, s212)),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17075,axiom,(succ(s211, s212)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound212')).
% 8.72/6.36 tff(17076,plain,
% 8.72/6.36 (succ(s211, s212)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17075, 17074])).
% 8.72/6.36 tff(17077,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17078,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17079,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17078, 17077])).
% 8.72/6.36 tff(17080,plain,
% 8.72/6.36 (trans(s211, s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17079, 17076, 32])).
% 8.72/6.36 tff(17081,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s211, s212)) | node14(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s211, s212)) | node14(s211, s212))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17082,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s211, s212)) | node14(s211, s212))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17083,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s211, s212)) | node14(s211, s212)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17082, 17081])).
% 8.72/6.36 tff(17084,plain,
% 8.72/6.36 (node14(s211, s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17083, 46, 17080])).
% 8.72/6.36 tff(17085,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17086,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17087,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17086, 17085])).
% 8.72/6.36 tff(17088,plain,
% 8.72/6.36 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | m_main_v_state2(s212, c_c2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17087, 617, 17084])).
% 8.72/6.36 tff(17089,plain,
% 8.72/6.36 (m_main_v_state2(s212, c_c2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17088, 17073, 17069, 17033, 17026, 17022])).
% 8.72/6.36 tff(17090,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17091,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17092,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 8.72/6.36 tff(17093,plain,
% 8.72/6.36 (~m_main_v_state2(s212, c_t2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17092, 260, 17089])).
% 8.72/6.36 tff(17094,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s212, c_t2) | (~node12(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s212, c_t2) | (~node12(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17095,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s212, c_t2) | (~node12(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17096,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s212, c_t2) | (~node12(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 8.72/6.36 tff(17097,plain,
% 8.72/6.36 (~node12(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17096, 633, 17093])).
% 8.72/6.36 tff(17098,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s211, s212)) | node7(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s211, s212)) | node7(s211, s212))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17099,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s211, s212)) | node7(s211, s212))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17100,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s211, s212)) | node7(s211, s212)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 8.72/6.36 tff(17101,plain,
% 8.72/6.36 (node7(s211, s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17100, 206, 17080])).
% 8.72/6.36 tff(17102,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17103,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17104,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17103, 17102])).
% 8.72/6.36 tff(17105,plain,
% 8.72/6.36 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_state1(s212, c_t1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17104, 651, 17101])).
% 8.72/6.36 tff(17106,plain,
% 8.72/6.36 (m_main_v_state1(s212, c_t1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17105, 17033, 17069])).
% 8.72/6.36 tff(17107,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17108,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17109,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 8.72/6.36 tff(17110,plain,
% 8.72/6.36 (~m_main_v_state1(s212, c_n1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17109, 10, 17106])).
% 8.72/6.36 tff(17111,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s212, c_n1) | (~node11(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s212, c_n1) | (~node11(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17112,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s212, c_n1) | (~node11(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17113,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s212, c_n1) | (~node11(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 8.72/6.36 tff(17114,plain,
% 8.72/6.36 (~node11(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17113, 238, 17110])).
% 8.72/6.36 tff(17115,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17116,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17117,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 8.72/6.36 tff(17118,plain,
% 8.72/6.36 (~m_main_v_state1(s212, c_c1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17117, 539, 17106])).
% 8.72/6.36 tff(17119,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s212, c_c1) | (~node10(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s212, c_c1) | (~node10(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17120,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s212, c_c1) | (~node10(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17121,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s212, c_c1) | (~node10(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 8.72/6.36 tff(17122,plain,
% 8.72/6.36 (~node10(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17121, 675, 17118])).
% 8.72/6.36 tff(17123,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s212, c_n1) | (~node9(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s212, c_n1) | (~node9(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17124,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s212, c_n1) | (~node9(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17125,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s212, c_n1) | (~node9(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 8.72/6.36 tff(17126,plain,
% 8.72/6.36 (~node9(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17125, 686, 17110])).
% 8.72/6.36 tff(17127,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17128,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17129,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 8.72/6.36 tff(17130,plain,
% 8.72/6.36 (~m_main_v_state2(s212, c_n2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17129, 697, 17089])).
% 8.72/6.36 tff(17131,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s212, c_n2) | (~node8(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s212, c_n2) | (~node8(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17132,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s212, c_n2) | (~node8(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17133,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s212, c_n2) | (~node8(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 8.72/6.36 tff(17134,plain,
% 8.72/6.36 (~node8(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17133, 271, 17130])).
% 8.72/6.36 tff(17135,plain,
% 8.72/6.36 (succ(s212, s213) <=> succ(s212, s213)),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17136,axiom,(succ(s212, s213)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound213')).
% 8.72/6.36 tff(17137,plain,
% 8.72/6.36 (succ(s212, s213)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 8.72/6.36 tff(17138,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17139,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17140,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 8.72/6.36 tff(17141,plain,
% 8.72/6.36 (trans(s212, s213)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17140, 17137, 32])).
% 8.72/6.36 tff(17142,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s212, s213)) | node14(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s212, s213)) | node14(s212, s213))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17143,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s212, s213)) | node14(s212, s213))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17144,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s212, s213)) | node14(s212, s213)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17143, 17142])).
% 8.72/6.36 tff(17145,plain,
% 8.72/6.36 (node14(s212, s213)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17144, 46, 17141])).
% 8.72/6.36 tff(17146,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17147,plain,
% 8.72/6.36 (((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2)) <=> (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17148,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2))))),
% 8.72/6.36 inference(monotonicity,[status(thm)],[17147])).
% 8.72/6.36 tff(17149,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 8.72/6.36 inference(transitivity,[status(thm)],[17148, 17146])).
% 8.72/6.36 tff(17150,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17151,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17150, 17149])).
% 8.72/6.36 tff(17152,plain,
% 8.72/6.36 (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~m_main_v_state2(s212, c_c2))),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17151, 726, 17145])).
% 8.72/6.36 tff(17153,plain,
% 8.72/6.36 (m_main_v_state2(s213, c_n2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17152, 17134, 17089, 17126, 17122, 17114, 17097])).
% 8.72/6.36 tff(17154,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17155,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17156,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17155, 17154])).
% 8.72/6.36 tff(17157,plain,
% 8.72/6.36 (~m_main_v_state2(s213, c_c2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17156, 697, 17153])).
% 8.72/6.36 tff(17158,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s213, c_c2) | (~node3(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s213, c_c2) | (~node3(s213)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17159,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s213, c_c2) | (~node3(s213)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17160,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s213, c_c2) | (~node3(s213))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17159, 17158])).
% 8.72/6.36 tff(17161,plain,
% 8.72/6.36 (~node3(s213)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17160, 399, 17157])).
% 8.72/6.36 tff(17162,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s212, c_n1) | (~node1(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s212, c_n1) | (~node1(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17163,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s212, c_n1) | (~node1(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17164,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s212, c_n1) | (~node1(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17163, 17162])).
% 8.72/6.36 tff(17165,plain,
% 8.72/6.36 (~node1(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17164, 421, 17110])).
% 8.72/6.36 tff(17166,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s211, s212)) | node18(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s211, s212)) | node18(s211, s212))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17167,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s211, s212)) | node18(s211, s212))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17168,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s211, s212)) | node18(s211, s212)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17167, 17166])).
% 8.72/6.36 tff(17169,plain,
% 8.72/6.36 (node18(s211, s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17168, 125, 17080])).
% 8.72/6.36 tff(17170,plain,
% 8.72/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17171,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17172,plain,
% 8.72/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2)),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 8.72/6.36 tff(17173,plain,
% 8.72/6.36 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_turn(s212, c_2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17172, 760, 17169])).
% 8.72/6.36 tff(17174,plain,
% 8.72/6.36 (m_main_v_turn(s212, c_2)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17173, 17033, 17069])).
% 8.72/6.36 tff(17175,plain,
% 8.72/6.36 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17176,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17177,plain,
% 8.72/6.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 8.72/6.36 tff(17178,plain,
% 8.72/6.36 (~m_main_v_turn(s212, c_1)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17177, 156, 17174])).
% 8.72/6.36 tff(17179,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s212, c_1) | (~node5(s212)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s212, c_1) | (~node5(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17180,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s212, c_1) | (~node5(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17181,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s212, c_1) | (~node5(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 8.72/6.36 tff(17182,plain,
% 8.72/6.36 (~node5(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17181, 776, 17178])).
% 8.72/6.36 tff(17183,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s212, c_n1) | (~node2(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s212, c_n1) | (~node2(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17184,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s212, c_n1) | (~node2(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17185,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s212, c_n1) | (~node2(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17184, 17183])).
% 8.72/6.36 tff(17186,plain,
% 8.72/6.36 (~node2(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17185, 787, 17110])).
% 8.72/6.36 tff(17187,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s212, c_n1) | (~node3(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s212, c_n1) | (~node3(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17188,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s212, c_n1) | (~node3(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17189,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s212, c_n1) | (~node3(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17188, 17187])).
% 8.72/6.36 tff(17190,plain,
% 8.72/6.36 (~node3(s212)),
% 8.72/6.36 inference(unit_resolution,[status(thm)],[17189, 798, 17110])).
% 8.72/6.36 tff(17191,plain,
% 8.72/6.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s212, c_n2) | (~node4(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s212, c_n2) | (~node4(s212)))),
% 8.72/6.36 inference(rewrite,[status(thm)],[])).
% 8.72/6.36 tff(17192,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s212, c_n2) | (~node4(s212)))),
% 8.72/6.36 inference(quant_inst,[status(thm)],[])).
% 8.72/6.36 tff(17193,plain,
% 8.72/6.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s212, c_n2) | (~node4(s212))),
% 8.72/6.36 inference(modus_ponens,[status(thm)],[17192, 17191])).
% 8.72/6.37 tff(17194,plain,
% 8.72/6.37 (~node4(s212)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17193, 388, 17130])).
% 8.72/6.37 tff(17195,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s212, s213)) | node7(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s212, s213)) | node7(s212, s213))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17196,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s212, s213)) | node7(s212, s213))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17197,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s212, s213)) | node7(s212, s213)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 8.72/6.37 tff(17198,plain,
% 8.72/6.37 (node7(s212, s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17197, 206, 17141])).
% 8.72/6.37 tff(17199,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17200,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17201,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 8.72/6.37 tff(17202,plain,
% 8.72/6.37 (m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17201, 820, 17198])).
% 8.72/6.37 tff(17203,plain,
% 8.72/6.37 (node6(s212, s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17202, 17194, 17118, 17190, 17186, 17182, 17165])).
% 8.72/6.37 tff(17204,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17205,plain,
% 8.72/6.37 (((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1))) <=> (m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17206,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213))))),
% 8.72/6.37 inference(monotonicity,[status(thm)],[17205])).
% 8.72/6.37 tff(17207,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 8.72/6.37 inference(transitivity,[status(thm)],[17206, 17204])).
% 8.72/6.37 tff(17208,plain,
% 8.72/6.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17209,plain,
% 8.72/6.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 8.72/6.37 tff(17210,plain,
% 8.72/6.37 (~m_main_v_state1(s213, c_n1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17209, 835, 17110, 17203])).
% 8.72/6.37 tff(17211,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s213, c_n1) | (~node2(s213)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s213, c_n1) | (~node2(s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17212,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s213, c_n1) | (~node2(s213)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17213,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s213, c_n1) | (~node2(s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 8.72/6.37 tff(17214,plain,
% 8.72/6.37 (~node2(s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17213, 787, 17210])).
% 8.72/6.37 tff(17215,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17216,plain,
% 8.72/6.37 (((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1)) <=> ((~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17217,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213))))),
% 8.72/6.37 inference(monotonicity,[status(thm)],[17216])).
% 8.72/6.37 tff(17218,plain,
% 8.72/6.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 8.72/6.37 inference(transitivity,[status(thm)],[17217, 17215])).
% 8.72/6.37 tff(17219,plain,
% 8.72/6.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17220,plain,
% 8.72/6.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 8.72/6.37 tff(17221,plain,
% 8.72/6.37 (m_main_v_state1(s213, c_t1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17220, 856, 17106, 17203])).
% 8.72/6.37 tff(17222,plain,
% 8.72/6.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17223,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17224,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17223, 17222])).
% 8.72/6.37 tff(17225,plain,
% 8.72/6.37 (~m_main_v_state2(s213, c_t2)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17224, 77, 17153])).
% 8.72/6.37 tff(17226,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s213, c_t2) | (~node1(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s213, c_t2) | (~node1(s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17227,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s213, c_t2) | (~node1(s213)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17228,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s213, c_t2) | (~node1(s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 8.72/6.37 tff(17229,plain,
% 8.72/6.37 (~node1(s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17228, 195, 17225])).
% 8.72/6.37 tff(17230,plain,
% 8.72/6.37 (succ(s213, s214) <=> succ(s213, s214)),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17231,axiom,(succ(s213, s214)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound214')).
% 8.72/6.37 tff(17232,plain,
% 8.72/6.37 (succ(s213, s214)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17231, 17230])).
% 8.72/6.37 tff(17233,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17234,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17235,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 8.72/6.37 tff(17236,plain,
% 8.72/6.37 (trans(s213, s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17235, 17232, 32])).
% 8.72/6.37 tff(17237,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s213, s214)) | node7(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s213, s214)) | node7(s213, s214))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17238,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s213, s214)) | node7(s213, s214))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17239,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s213, s214)) | node7(s213, s214)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17238, 17237])).
% 8.72/6.37 tff(17240,plain,
% 8.72/6.37 (node7(s213, s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17239, 206, 17236])).
% 8.72/6.37 tff(17241,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17242,plain,
% 8.72/6.37 (((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1)) <=> ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17243,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214))))),
% 8.72/6.37 inference(monotonicity,[status(thm)],[17242])).
% 8.72/6.37 tff(17244,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 8.72/6.37 inference(transitivity,[status(thm)],[17243, 17241])).
% 8.72/6.37 tff(17245,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17246,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 8.72/6.37 tff(17247,plain,
% 8.72/6.37 ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17246, 892, 17240])).
% 8.72/6.37 tff(17248,plain,
% 8.72/6.37 (m_main_v_state1(s214, c_c1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17247, 17229, 17153, 17221, 17214, 17161])).
% 8.72/6.37 tff(17249,plain,
% 8.72/6.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17250,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17251,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17250, 17249])).
% 8.72/6.37 tff(17252,plain,
% 8.72/6.37 (~m_main_v_state1(s214, c_t1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17251, 539, 17248])).
% 8.72/6.37 tff(17253,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s214, c_t1) | (~node5(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s214, c_t1) | (~node5(s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17254,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s214, c_t1) | (~node5(s214)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17255,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s214, c_t1) | (~node5(s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 8.72/6.37 tff(17256,plain,
% 8.72/6.37 (~node5(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17255, 550, 17252])).
% 8.72/6.37 tff(17257,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s213, s214)) | node14(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s213, s214)) | node14(s213, s214))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17258,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s213, s214)) | node14(s213, s214))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17259,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s213, s214)) | node14(s213, s214)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 8.72/6.37 tff(17260,plain,
% 8.72/6.37 (node14(s213, s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17259, 46, 17236])).
% 8.72/6.37 tff(17261,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17262,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17263,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17262, 17261])).
% 8.72/6.37 tff(17264,plain,
% 8.72/6.37 ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state2(s214, c_t2)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17263, 922, 17260])).
% 8.72/6.37 tff(17265,plain,
% 8.72/6.37 (m_main_v_state2(s214, c_t2)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17264, 17221, 17153])).
% 8.72/6.37 tff(17266,plain,
% 8.72/6.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17267,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17268,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 8.72/6.37 tff(17269,plain,
% 8.72/6.37 (~m_main_v_state2(s214, c_n2)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17268, 77, 17265])).
% 8.72/6.37 tff(17270,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s214, c_n2) | (~node4(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s214, c_n2) | (~node4(s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17271,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s214, c_n2) | (~node4(s214)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17272,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s214, c_n2) | (~node4(s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 8.72/6.37 tff(17273,plain,
% 8.72/6.37 (~node4(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17272, 388, 17269])).
% 8.72/6.37 tff(17274,plain,
% 8.72/6.37 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17275,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17276,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17275, 17274])).
% 8.72/6.37 tff(17277,plain,
% 8.72/6.37 (~m_main_v_state2(s214, c_c2)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17276, 260, 17265])).
% 8.72/6.37 tff(17278,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s214, c_c2) | (~node3(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s214, c_c2) | (~node3(s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17279,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s214, c_c2) | (~node3(s214)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17280,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s214, c_c2) | (~node3(s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 8.72/6.37 tff(17281,plain,
% 8.72/6.37 (~node3(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17280, 399, 17277])).
% 8.72/6.37 tff(17282,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s214, c_n2) | (~node2(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s214, c_n2) | (~node2(s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17283,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s214, c_n2) | (~node2(s214)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17284,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s214, c_n2) | (~node2(s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 8.72/6.37 tff(17285,plain,
% 8.72/6.37 (~node2(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17284, 410, 17269])).
% 8.72/6.37 tff(17286,plain,
% 8.72/6.37 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17287,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17288,plain,
% 8.72/6.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 8.72/6.37 tff(17289,plain,
% 8.72/6.37 (~m_main_v_state1(s214, c_n1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17288, 454, 17248])).
% 8.72/6.37 tff(17290,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s214, c_n1) | (~node1(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s214, c_n1) | (~node1(s214)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17291,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s214, c_n1) | (~node1(s214)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17292,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s214, c_n1) | (~node1(s214))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17291, 17290])).
% 8.72/6.37 tff(17293,plain,
% 8.72/6.37 (~node1(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17292, 421, 17289])).
% 8.72/6.37 tff(17294,plain,
% 8.72/6.37 (succ(s214, s215) <=> succ(s214, s215)),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17295,axiom,(succ(s214, s215)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound215')).
% 8.72/6.37 tff(17296,plain,
% 8.72/6.37 (succ(s214, s215)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 8.72/6.37 tff(17297,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17298,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17299,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17298, 17297])).
% 8.72/6.37 tff(17300,plain,
% 8.72/6.37 (trans(s214, s215)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17299, 17296, 32])).
% 8.72/6.37 tff(17301,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s214, s215)) | node7(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s214, s215)) | node7(s214, s215))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17302,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s214, s215)) | node7(s214, s215))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17303,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s214, s215)) | node7(s214, s215)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17302, 17301])).
% 8.72/6.37 tff(17304,plain,
% 8.72/6.37 (node7(s214, s215)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17303, 206, 17300])).
% 8.72/6.37 tff(17305,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17306,plain,
% 8.72/6.37 (((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1)) <=> (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17307,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215))))),
% 8.72/6.37 inference(monotonicity,[status(thm)],[17306])).
% 8.72/6.37 tff(17308,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 8.72/6.37 inference(transitivity,[status(thm)],[17307, 17305])).
% 8.72/6.37 tff(17309,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17310,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 8.72/6.37 tff(17311,plain,
% 8.72/6.37 (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17310, 584, 17304])).
% 8.72/6.37 tff(17312,plain,
% 8.72/6.37 (m_main_v_state1(s215, c_n1)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17311, 17293, 17248, 17285, 17281, 17273, 17256])).
% 8.72/6.37 tff(17313,plain,
% 8.72/6.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s213, c_t2) | (~node15(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s213, c_t2) | (~node15(s213)))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17314,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s213, c_t2) | (~node15(s213)))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17315,plain,
% 8.72/6.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s213, c_t2) | (~node15(s213))),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17314, 17313])).
% 8.72/6.37 tff(17316,plain,
% 8.72/6.37 (~node15(s213)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17315, 103, 17225])).
% 8.72/6.37 tff(17317,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s213, s214)) | node18(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s213, s214)) | node18(s213, s214))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17318,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s213, s214)) | node18(s213, s214))),
% 8.72/6.37 inference(quant_inst,[status(thm)],[])).
% 8.72/6.37 tff(17319,plain,
% 8.72/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s213, s214)) | node18(s213, s214)),
% 8.72/6.37 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 8.72/6.37 tff(17320,plain,
% 8.72/6.37 (node18(s213, s214)),
% 8.72/6.37 inference(unit_resolution,[status(thm)],[17319, 125, 17236])).
% 8.72/6.37 tff(17321,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17322,plain,
% 8.72/6.37 (((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1)) <=> (node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 8.72/6.37 inference(rewrite,[status(thm)],[])).
% 8.72/6.37 tff(17323,plain,
% 8.72/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)))),
% 8.72/6.38 inference(monotonicity,[status(thm)],[17322])).
% 8.72/6.38 tff(17324,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 8.72/6.38 inference(transitivity,[status(thm)],[17323, 17321])).
% 8.72/6.38 tff(17325,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17326,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 8.72/6.38 tff(17327,plain,
% 8.72/6.38 (node15(s213) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17326, 992, 17320])).
% 8.72/6.38 tff(17328,plain,
% 8.72/6.38 (m_main_v_turn(s214, c_1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17327, 17316, 17153, 17221])).
% 8.72/6.38 tff(17329,plain,
% 8.72/6.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17330,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17331,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 8.72/6.38 tff(17332,plain,
% 8.72/6.38 (~m_main_v_turn(s214, c_2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17331, 156, 17328])).
% 8.72/6.38 tff(17333,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s214, c_2) | (~node12(s214)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s214, c_2) | (~node12(s214)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17334,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s214, c_2) | (~node12(s214)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17335,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s214, c_2) | (~node12(s214))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17334, 17333])).
% 8.72/6.38 tff(17336,plain,
% 8.72/6.38 (~node12(s214)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17335, 184, 17332])).
% 8.72/6.38 tff(17337,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s214, c_n2) | (~node8(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s214, c_n2) | (~node8(s214)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17338,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s214, c_n2) | (~node8(s214)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17339,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s214, c_n2) | (~node8(s214))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17338, 17337])).
% 8.72/6.38 tff(17340,plain,
% 8.72/6.38 (~node8(s214)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17339, 271, 17269])).
% 8.72/6.38 tff(17341,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s214, c_n2) | (~node9(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s214, c_n2) | (~node9(s214)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17342,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s214, c_n2) | (~node9(s214)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17343,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s214, c_n2) | (~node9(s214))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 8.72/6.38 tff(17344,plain,
% 8.72/6.38 (~node9(s214)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17343, 88, 17269])).
% 8.72/6.38 tff(17345,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s214, c_n2) | (~node10(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s214, c_n2) | (~node10(s214)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17346,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s214, c_n2) | (~node10(s214)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17347,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s214, c_n2) | (~node10(s214))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17346, 17345])).
% 8.72/6.38 tff(17348,plain,
% 8.72/6.38 (~node10(s214)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17347, 249, 17269])).
% 8.72/6.38 tff(17349,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s214, c_n1) | (~node11(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s214, c_n1) | (~node11(s214)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17350,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s214, c_n1) | (~node11(s214)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17351,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s214, c_n1) | (~node11(s214))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 8.72/6.38 tff(17352,plain,
% 8.72/6.38 (~node11(s214)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17351, 238, 17289])).
% 8.72/6.38 tff(17353,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s214, s215)) | node14(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s214, s215)) | node14(s214, s215))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17354,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s214, s215)) | node14(s214, s215))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17355,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s214, s215)) | node14(s214, s215)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17354, 17353])).
% 8.72/6.38 tff(17356,plain,
% 8.72/6.38 (node14(s214, s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17355, 46, 17300])).
% 8.72/6.38 tff(17357,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17358,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17359,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 8.72/6.38 tff(17360,plain,
% 8.72/6.38 (m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17359, 296, 17356])).
% 8.72/6.38 tff(17361,plain,
% 8.72/6.38 (node13(s214, s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17360, 17352, 17277, 17348, 17344, 17340, 17336])).
% 8.72/6.38 tff(17362,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17363,plain,
% 8.72/6.38 (((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2)) <=> ((~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17364,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215))))),
% 8.72/6.38 inference(monotonicity,[status(thm)],[17363])).
% 8.72/6.38 tff(17365,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 8.72/6.38 inference(transitivity,[status(thm)],[17364, 17362])).
% 8.72/6.38 tff(17366,plain,
% 8.72/6.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17367,plain,
% 8.72/6.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17366, 17365])).
% 8.72/6.38 tff(17368,plain,
% 8.72/6.38 (m_main_v_state2(s215, c_t2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17367, 518, 17265, 17361])).
% 8.72/6.38 tff(17369,plain,
% 8.72/6.38 (succ(s215, s216) <=> succ(s215, s216)),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17370,axiom,(succ(s215, s216)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound216')).
% 8.72/6.38 tff(17371,plain,
% 8.72/6.38 (succ(s215, s216)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 8.72/6.38 tff(17372,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17373,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17374,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 8.72/6.38 tff(17375,plain,
% 8.72/6.38 (trans(s215, s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17374, 17371, 32])).
% 8.72/6.38 tff(17376,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s215, s216)) | node7(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s215, s216)) | node7(s215, s216))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17377,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s215, s216)) | node7(s215, s216))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17378,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s215, s216)) | node7(s215, s216)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 8.72/6.38 tff(17379,plain,
% 8.72/6.38 (node7(s215, s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17378, 206, 17375])).
% 8.72/6.38 tff(17380,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17381,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17382,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 8.72/6.38 tff(17383,plain,
% 8.72/6.38 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_state1(s216, c_t1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17382, 651, 17379])).
% 8.72/6.38 tff(17384,plain,
% 8.72/6.38 (m_main_v_state1(s216, c_t1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17383, 17368, 17312])).
% 8.72/6.38 tff(17385,plain,
% 8.72/6.38 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17386,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17387,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 8.72/6.38 tff(17388,plain,
% 8.72/6.38 (~m_main_v_state1(s216, c_n1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17387, 10, 17384])).
% 8.72/6.38 tff(17389,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s216, c_n1) | (~node1(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s216, c_n1) | (~node1(s216)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17390,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s216, c_n1) | (~node1(s216)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17391,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s216, c_n1) | (~node1(s216))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17390, 17389])).
% 8.72/6.38 tff(17392,plain,
% 8.72/6.38 (~node1(s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17391, 421, 17388])).
% 8.72/6.38 tff(17393,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s215, s216)) | node18(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s215, s216)) | node18(s215, s216))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17394,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s215, s216)) | node18(s215, s216))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17395,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s215, s216)) | node18(s215, s216)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17394, 17393])).
% 8.72/6.38 tff(17396,plain,
% 8.72/6.38 (node18(s215, s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17395, 125, 17375])).
% 8.72/6.38 tff(17397,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17398,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17399,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 8.72/6.38 tff(17400,plain,
% 8.72/6.38 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_turn(s216, c_2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17399, 760, 17396])).
% 8.72/6.38 tff(17401,plain,
% 8.72/6.38 (m_main_v_turn(s216, c_2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17400, 17368, 17312])).
% 8.72/6.38 tff(17402,plain,
% 8.72/6.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17403,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17404,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 8.72/6.38 tff(17405,plain,
% 8.72/6.38 (~m_main_v_turn(s216, c_1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17404, 156, 17401])).
% 8.72/6.38 tff(17406,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s216, c_1) | (~node5(s216)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s216, c_1) | (~node5(s216)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17407,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s216, c_1) | (~node5(s216)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17408,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s216, c_1) | (~node5(s216))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 8.72/6.38 tff(17409,plain,
% 8.72/6.38 (~node5(s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17408, 776, 17405])).
% 8.72/6.38 tff(17410,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s216, c_n1) | (~node2(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s216, c_n1) | (~node2(s216)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17411,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s216, c_n1) | (~node2(s216)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17412,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s216, c_n1) | (~node2(s216))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 8.72/6.38 tff(17413,plain,
% 8.72/6.38 (~node2(s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17412, 787, 17388])).
% 8.72/6.38 tff(17414,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s216, c_n1) | (~node3(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s216, c_n1) | (~node3(s216)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17415,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s216, c_n1) | (~node3(s216)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17416,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s216, c_n1) | (~node3(s216))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17415, 17414])).
% 8.72/6.38 tff(17417,plain,
% 8.72/6.38 (~node3(s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17416, 798, 17388])).
% 8.72/6.38 tff(17418,plain,
% 8.72/6.38 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17419,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17420,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 8.72/6.38 tff(17421,plain,
% 8.72/6.38 (~m_main_v_state1(s216, c_c1)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17420, 539, 17384])).
% 8.72/6.38 tff(17422,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17423,plain,
% 8.72/6.38 (((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2))) <=> (m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17424,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215))))),
% 8.72/6.38 inference(monotonicity,[status(thm)],[17423])).
% 8.72/6.38 tff(17425,plain,
% 8.72/6.38 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 8.72/6.38 inference(transitivity,[status(thm)],[17424, 17422])).
% 8.72/6.38 tff(17426,plain,
% 8.72/6.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17427,plain,
% 8.72/6.38 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17426, 17425])).
% 8.72/6.38 tff(17428,plain,
% 8.72/6.38 (~m_main_v_state2(s215, c_n2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17427, 311, 17269, 17361])).
% 8.72/6.38 tff(17429,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s215, c_n2) | (~node9(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s215, c_n2) | (~node9(s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17430,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s215, c_n2) | (~node9(s215)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17431,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s215, c_n2) | (~node9(s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 8.72/6.38 tff(17432,plain,
% 8.72/6.38 (~node9(s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17431, 88, 17428])).
% 8.72/6.38 tff(17433,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s215, c_n2) | (~node10(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s215, c_n2) | (~node10(s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17434,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s215, c_n2) | (~node10(s215)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17435,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s215, c_n2) | (~node10(s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 8.72/6.38 tff(17436,plain,
% 8.72/6.38 (~node10(s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17435, 249, 17428])).
% 8.72/6.38 tff(17437,plain,
% 8.72/6.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s215, c_n2) | (~node8(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s215, c_n2) | (~node8(s215)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17438,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s215, c_n2) | (~node8(s215)))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17439,plain,
% 8.72/6.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s215, c_n2) | (~node8(s215))),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 8.72/6.38 tff(17440,plain,
% 8.72/6.38 (~node8(s215)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17439, 271, 17428])).
% 8.72/6.38 tff(17441,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s215, s216)) | node14(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s215, s216)) | node14(s215, s216))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17442,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s215, s216)) | node14(s215, s216))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17443,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s215, s216)) | node14(s215, s216)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17442, 17441])).
% 8.72/6.38 tff(17444,plain,
% 8.72/6.38 (node14(s215, s216)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17443, 46, 17375])).
% 8.72/6.38 tff(17445,plain,
% 8.72/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17446,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2))),
% 8.72/6.38 inference(quant_inst,[status(thm)],[])).
% 8.72/6.38 tff(17447,plain,
% 8.72/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2)),
% 8.72/6.38 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 8.72/6.38 tff(17448,plain,
% 8.72/6.38 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | m_main_v_state2(s216, c_c2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17447, 617, 17444])).
% 8.72/6.38 tff(17449,plain,
% 8.72/6.38 (m_main_v_state2(s216, c_c2)),
% 8.72/6.38 inference(unit_resolution,[status(thm)],[17448, 17440, 17312, 17368, 17436, 17432])).
% 8.72/6.38 tff(17450,plain,
% 8.72/6.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.38 inference(rewrite,[status(thm)],[])).
% 8.72/6.38 tff(17451,plain,
% 8.72/6.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17452,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 8.72/6.39 tff(17453,plain,
% 8.72/6.39 (~m_main_v_state2(s216, c_n2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17452, 697, 17449])).
% 8.72/6.39 tff(17454,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s216, c_n2) | (~node4(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s216, c_n2) | (~node4(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17455,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s216, c_n2) | (~node4(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17456,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s216, c_n2) | (~node4(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17455, 17454])).
% 8.72/6.39 tff(17457,plain,
% 8.72/6.39 (~node4(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17456, 388, 17453])).
% 8.72/6.39 tff(17458,plain,
% 8.72/6.39 (succ(s216, s217) <=> succ(s216, s217)),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17459,axiom,(succ(s216, s217)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound217')).
% 8.72/6.39 tff(17460,plain,
% 8.72/6.39 (succ(s216, s217)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17459, 17458])).
% 8.72/6.39 tff(17461,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17462,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17463,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 8.72/6.39 tff(17464,plain,
% 8.72/6.39 (trans(s216, s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17463, 17460, 32])).
% 8.72/6.39 tff(17465,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s216, s217)) | node7(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s216, s217)) | node7(s216, s217))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17466,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s216, s217)) | node7(s216, s217))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17467,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s216, s217)) | node7(s216, s217)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 8.72/6.39 tff(17468,plain,
% 8.72/6.39 (node7(s216, s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17467, 206, 17464])).
% 8.72/6.39 tff(17469,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17470,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17471,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17470, 17469])).
% 8.72/6.39 tff(17472,plain,
% 8.72/6.39 (m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17471, 820, 17468])).
% 8.72/6.39 tff(17473,plain,
% 8.72/6.39 (node6(s216, s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17472, 17457, 17421, 17417, 17413, 17409, 17392])).
% 8.72/6.39 tff(17474,plain,
% 8.72/6.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17475,plain,
% 8.72/6.39 (((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1)) <=> ((~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17476,plain,
% 8.72/6.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217))))),
% 8.72/6.39 inference(monotonicity,[status(thm)],[17475])).
% 8.72/6.39 tff(17477,plain,
% 8.72/6.39 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 8.72/6.39 inference(transitivity,[status(thm)],[17476, 17474])).
% 8.72/6.39 tff(17478,plain,
% 8.72/6.39 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17479,plain,
% 8.72/6.39 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17478, 17477])).
% 8.72/6.39 tff(17480,plain,
% 8.72/6.39 (m_main_v_state1(s217, c_t1)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17479, 856, 17384, 17473])).
% 8.72/6.39 tff(17481,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17482,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17483,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 8.72/6.39 tff(17484,plain,
% 8.72/6.39 (~m_main_v_state2(s216, c_t2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17483, 260, 17449])).
% 8.72/6.39 tff(17485,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s216, c_t2) | (~node12(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s216, c_t2) | (~node12(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17486,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s216, c_t2) | (~node12(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17487,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s216, c_t2) | (~node12(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 8.72/6.39 tff(17488,plain,
% 8.72/6.39 (~node12(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17487, 633, 17484])).
% 8.72/6.39 tff(17489,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s216, c_n1) | (~node11(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s216, c_n1) | (~node11(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17490,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s216, c_n1) | (~node11(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17491,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s216, c_n1) | (~node11(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 8.72/6.39 tff(17492,plain,
% 8.72/6.39 (~node11(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17491, 238, 17388])).
% 8.72/6.39 tff(17493,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s216, c_c1) | (~node10(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s216, c_c1) | (~node10(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17494,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s216, c_c1) | (~node10(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17495,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s216, c_c1) | (~node10(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17494, 17493])).
% 8.72/6.39 tff(17496,plain,
% 8.72/6.39 (~node10(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17495, 675, 17421])).
% 8.72/6.39 tff(17497,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s216, c_n1) | (~node9(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s216, c_n1) | (~node9(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17498,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s216, c_n1) | (~node9(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17499,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s216, c_n1) | (~node9(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 8.72/6.39 tff(17500,plain,
% 8.72/6.39 (~node9(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17499, 686, 17388])).
% 8.72/6.39 tff(17501,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s216, c_n2) | (~node8(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s216, c_n2) | (~node8(s216)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17502,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s216, c_n2) | (~node8(s216)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17503,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s216, c_n2) | (~node8(s216))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 8.72/6.39 tff(17504,plain,
% 8.72/6.39 (~node8(s216)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17503, 271, 17453])).
% 8.72/6.39 tff(17505,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s216, s217)) | node14(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s216, s217)) | node14(s216, s217))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17506,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s216, s217)) | node14(s216, s217))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17507,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s216, s217)) | node14(s216, s217)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 8.72/6.39 tff(17508,plain,
% 8.72/6.39 (node14(s216, s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17507, 46, 17464])).
% 8.72/6.39 tff(17509,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17510,plain,
% 8.72/6.39 (((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2)) <=> (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17511,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2))))),
% 8.72/6.39 inference(monotonicity,[status(thm)],[17510])).
% 8.72/6.39 tff(17512,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 8.72/6.39 inference(transitivity,[status(thm)],[17511, 17509])).
% 8.72/6.39 tff(17513,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17514,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17513, 17512])).
% 8.72/6.39 tff(17515,plain,
% 8.72/6.39 (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~m_main_v_state2(s216, c_c2))),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17514, 726, 17508])).
% 8.72/6.39 tff(17516,plain,
% 8.72/6.39 (m_main_v_state2(s217, c_n2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17515, 17504, 17449, 17500, 17496, 17492, 17488])).
% 8.72/6.39 tff(17517,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17518,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17519,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 8.72/6.39 tff(17520,plain,
% 8.72/6.39 (~m_main_v_state2(s217, c_t2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17519, 77, 17516])).
% 8.72/6.39 tff(17521,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s217, c_t2) | (~node15(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s217, c_t2) | (~node15(s217)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17522,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s217, c_t2) | (~node15(s217)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17523,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s217, c_t2) | (~node15(s217))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 8.72/6.39 tff(17524,plain,
% 8.72/6.39 (~node15(s217)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17523, 103, 17520])).
% 8.72/6.39 tff(17525,plain,
% 8.72/6.39 (succ(s217, s218) <=> succ(s217, s218)),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17526,axiom,(succ(s217, s218)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound218')).
% 8.72/6.39 tff(17527,plain,
% 8.72/6.39 (succ(s217, s218)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17526, 17525])).
% 8.72/6.39 tff(17528,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17529,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17530,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 8.72/6.39 tff(17531,plain,
% 8.72/6.39 (trans(s217, s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17530, 17527, 32])).
% 8.72/6.39 tff(17532,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s217, s218)) | node18(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s217, s218)) | node18(s217, s218))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17533,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s217, s218)) | node18(s217, s218))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17534,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s217, s218)) | node18(s217, s218)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 8.72/6.39 tff(17535,plain,
% 8.72/6.39 (node18(s217, s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17534, 125, 17531])).
% 8.72/6.39 tff(17536,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17537,plain,
% 8.72/6.39 (((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1)) <=> (node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17538,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)))),
% 8.72/6.39 inference(monotonicity,[status(thm)],[17537])).
% 8.72/6.39 tff(17539,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 8.72/6.39 inference(transitivity,[status(thm)],[17538, 17536])).
% 8.72/6.39 tff(17540,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17541,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 8.72/6.39 tff(17542,plain,
% 8.72/6.39 (node15(s217) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17541, 992, 17535])).
% 8.72/6.39 tff(17543,plain,
% 8.72/6.39 (m_main_v_turn(s218, c_1)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17542, 17524, 17516, 17480])).
% 8.72/6.39 tff(17544,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17545,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17546,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 8.72/6.39 tff(17547,plain,
% 8.72/6.39 (~m_main_v_turn(s218, c_2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17546, 156, 17543])).
% 8.72/6.39 tff(17548,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s218, c_2) | (~node12(s218)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s218, c_2) | (~node12(s218)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17549,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s218, c_2) | (~node12(s218)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17550,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s218, c_2) | (~node12(s218))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 8.72/6.39 tff(17551,plain,
% 8.72/6.39 (~node12(s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17550, 184, 17547])).
% 8.72/6.39 tff(17552,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s217, s218)) | node14(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s217, s218)) | node14(s217, s218))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17553,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s217, s218)) | node14(s217, s218))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17554,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s217, s218)) | node14(s217, s218)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 8.72/6.39 tff(17555,plain,
% 8.72/6.39 (node14(s217, s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17554, 46, 17531])).
% 8.72/6.39 tff(17556,plain,
% 8.72/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17557,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17558,plain,
% 8.72/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2)),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 8.72/6.39 tff(17559,plain,
% 8.72/6.39 ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state2(s218, c_t2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17558, 922, 17555])).
% 8.72/6.39 tff(17560,plain,
% 8.72/6.39 (m_main_v_state2(s218, c_t2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17559, 17480, 17516])).
% 8.72/6.39 tff(17561,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17562,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17563,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 8.72/6.39 tff(17564,plain,
% 8.72/6.39 (~m_main_v_state2(s218, c_n2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17563, 77, 17560])).
% 8.72/6.39 tff(17565,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s218, c_n2) | (~node8(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s218, c_n2) | (~node8(s218)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17566,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s218, c_n2) | (~node8(s218)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17567,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s218, c_n2) | (~node8(s218))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 8.72/6.39 tff(17568,plain,
% 8.72/6.39 (~node8(s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17567, 271, 17564])).
% 8.72/6.39 tff(17569,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s218, c_n2) | (~node9(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s218, c_n2) | (~node9(s218)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17570,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s218, c_n2) | (~node9(s218)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17571,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s218, c_n2) | (~node9(s218))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 8.72/6.39 tff(17572,plain,
% 8.72/6.39 (~node9(s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17571, 88, 17564])).
% 8.72/6.39 tff(17573,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s218, c_n2) | (~node10(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s218, c_n2) | (~node10(s218)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17574,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s218, c_n2) | (~node10(s218)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17575,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s218, c_n2) | (~node10(s218))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 8.72/6.39 tff(17576,plain,
% 8.72/6.39 (~node10(s218)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17575, 249, 17564])).
% 8.72/6.39 tff(17577,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17578,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17579,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 8.72/6.39 tff(17580,plain,
% 8.72/6.39 (~m_main_v_state2(s218, c_c2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17579, 260, 17560])).
% 8.72/6.39 tff(17581,plain,
% 8.72/6.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17582,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17583,plain,
% 8.72/6.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2))),
% 8.72/6.39 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 8.72/6.39 tff(17584,plain,
% 8.72/6.39 (~m_main_v_state2(s217, c_c2)),
% 8.72/6.39 inference(unit_resolution,[status(thm)],[17583, 697, 17516])).
% 8.72/6.39 tff(17585,plain,
% 8.72/6.39 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s217, c_c2) | (~node3(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s217, c_c2) | (~node3(s217)))),
% 8.72/6.39 inference(rewrite,[status(thm)],[])).
% 8.72/6.39 tff(17586,plain,
% 8.72/6.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s217, c_c2) | (~node3(s217)))),
% 8.72/6.39 inference(quant_inst,[status(thm)],[])).
% 8.72/6.39 tff(17587,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s217, c_c2) | (~node3(s217))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 8.77/6.40 tff(17588,plain,
% 8.77/6.40 (~node3(s217)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17587, 399, 17584])).
% 8.77/6.40 tff(17589,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17590,plain,
% 8.77/6.40 (((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1))) <=> (m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17591,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217))))),
% 8.77/6.40 inference(monotonicity,[status(thm)],[17590])).
% 8.77/6.40 tff(17592,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 8.77/6.40 inference(transitivity,[status(thm)],[17591, 17589])).
% 8.77/6.40 tff(17593,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17594,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17593, 17592])).
% 8.77/6.40 tff(17595,plain,
% 8.77/6.40 (~m_main_v_state1(s217, c_n1)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17594, 835, 17388, 17473])).
% 8.77/6.40 tff(17596,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s217, c_n1) | (~node2(s217)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s217, c_n1) | (~node2(s217)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17597,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s217, c_n1) | (~node2(s217)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17598,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s217, c_n1) | (~node2(s217))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 8.77/6.40 tff(17599,plain,
% 8.77/6.40 (~node2(s217)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17598, 787, 17595])).
% 8.77/6.40 tff(17600,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s217, c_t2) | (~node1(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s217, c_t2) | (~node1(s217)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17601,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s217, c_t2) | (~node1(s217)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17602,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s217, c_t2) | (~node1(s217))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 8.77/6.40 tff(17603,plain,
% 8.77/6.40 (~node1(s217)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17602, 195, 17520])).
% 8.77/6.40 tff(17604,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s217, s218)) | node7(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s217, s218)) | node7(s217, s218))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17605,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s217, s218)) | node7(s217, s218))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17606,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s217, s218)) | node7(s217, s218)),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 8.77/6.40 tff(17607,plain,
% 8.77/6.40 (node7(s217, s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17606, 206, 17531])).
% 8.77/6.40 tff(17608,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17609,plain,
% 8.77/6.40 (((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1)) <=> ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17610,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218))))),
% 8.77/6.40 inference(monotonicity,[status(thm)],[17609])).
% 8.77/6.40 tff(17611,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 8.77/6.40 inference(transitivity,[status(thm)],[17610, 17608])).
% 8.77/6.40 tff(17612,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17613,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 8.77/6.40 tff(17614,plain,
% 8.77/6.40 ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17613, 892, 17607])).
% 8.77/6.40 tff(17615,plain,
% 8.77/6.40 (m_main_v_state1(s218, c_c1)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17614, 17603, 17516, 17480, 17599, 17588])).
% 8.77/6.40 tff(17616,plain,
% 8.77/6.40 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17617,plain,
% 8.77/6.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17618,plain,
% 8.77/6.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 8.77/6.40 tff(17619,plain,
% 8.77/6.40 (~m_main_v_state1(s218, c_n1)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17618, 454, 17615])).
% 8.77/6.40 tff(17620,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s218, c_n1) | (~node11(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s218, c_n1) | (~node11(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17621,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s218, c_n1) | (~node11(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17622,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s218, c_n1) | (~node11(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 8.77/6.40 tff(17623,plain,
% 8.77/6.40 (~node11(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17622, 238, 17619])).
% 8.77/6.40 tff(17624,plain,
% 8.77/6.40 (succ(s218, s219) <=> succ(s218, s219)),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17625,axiom,(succ(s218, s219)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound219')).
% 8.77/6.40 tff(17626,plain,
% 8.77/6.40 (succ(s218, s219)),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 8.77/6.40 tff(17627,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17628,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17629,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17628, 17627])).
% 8.77/6.40 tff(17630,plain,
% 8.77/6.40 (trans(s218, s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17629, 17626, 32])).
% 8.77/6.40 tff(17631,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s218, s219)) | node14(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s218, s219)) | node14(s218, s219))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17632,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s218, s219)) | node14(s218, s219))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17633,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s218, s219)) | node14(s218, s219)),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 8.77/6.40 tff(17634,plain,
% 8.77/6.40 (node14(s218, s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17633, 46, 17630])).
% 8.77/6.40 tff(17635,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17636,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17637,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 8.77/6.40 tff(17638,plain,
% 8.77/6.40 (m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17637, 296, 17634])).
% 8.77/6.40 tff(17639,plain,
% 8.77/6.40 (node13(s218, s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17638, 17623, 17580, 17576, 17572, 17568, 17551])).
% 8.77/6.40 tff(17640,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17641,plain,
% 8.77/6.40 (((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2))) <=> (m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17642,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219))))),
% 8.77/6.40 inference(monotonicity,[status(thm)],[17641])).
% 8.77/6.40 tff(17643,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 8.77/6.40 inference(transitivity,[status(thm)],[17642, 17640])).
% 8.77/6.40 tff(17644,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17645,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 8.77/6.40 tff(17646,plain,
% 8.77/6.40 (~m_main_v_state2(s219, c_n2)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17645, 311, 17564, 17639])).
% 8.77/6.40 tff(17647,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s219, c_n2) | (~node9(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s219, c_n2) | (~node9(s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17648,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s219, c_n2) | (~node9(s219)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17649,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s219, c_n2) | (~node9(s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 8.77/6.40 tff(17650,plain,
% 8.77/6.40 (~node9(s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17649, 88, 17646])).
% 8.77/6.40 tff(17651,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s219, c_n2) | (~node10(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s219, c_n2) | (~node10(s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17652,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s219, c_n2) | (~node10(s219)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17653,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s219, c_n2) | (~node10(s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 8.77/6.40 tff(17654,plain,
% 8.77/6.40 (~node10(s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17653, 249, 17646])).
% 8.77/6.40 tff(17655,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17656,plain,
% 8.77/6.40 (((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2)) <=> ((~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17657,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219))))),
% 8.77/6.40 inference(monotonicity,[status(thm)],[17656])).
% 8.77/6.40 tff(17658,plain,
% 8.77/6.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 8.77/6.40 inference(transitivity,[status(thm)],[17657, 17655])).
% 8.77/6.40 tff(17659,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17660,plain,
% 8.77/6.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17659, 17658])).
% 8.77/6.40 tff(17661,plain,
% 8.77/6.40 (m_main_v_state2(s219, c_t2)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17660, 518, 17560, 17639])).
% 8.77/6.40 tff(17662,plain,
% 8.77/6.40 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17663,plain,
% 8.77/6.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17664,plain,
% 8.77/6.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 8.77/6.40 tff(17665,plain,
% 8.77/6.40 (~m_main_v_state1(s218, c_t1)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17664, 539, 17615])).
% 8.77/6.40 tff(17666,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s218, c_t1) | (~node5(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s218, c_t1) | (~node5(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17667,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s218, c_t1) | (~node5(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17668,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s218, c_t1) | (~node5(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17667, 17666])).
% 8.77/6.40 tff(17669,plain,
% 8.77/6.40 (~node5(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17668, 550, 17665])).
% 8.77/6.40 tff(17670,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s218, c_n2) | (~node4(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s218, c_n2) | (~node4(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17671,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s218, c_n2) | (~node4(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17672,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s218, c_n2) | (~node4(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17671, 17670])).
% 8.77/6.40 tff(17673,plain,
% 8.77/6.40 (~node4(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17672, 388, 17564])).
% 8.77/6.40 tff(17674,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s218, c_c2) | (~node3(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s218, c_c2) | (~node3(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17675,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s218, c_c2) | (~node3(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17676,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s218, c_c2) | (~node3(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17675, 17674])).
% 8.77/6.40 tff(17677,plain,
% 8.77/6.40 (~node3(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17676, 399, 17580])).
% 8.77/6.40 tff(17678,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s218, c_n2) | (~node2(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s218, c_n2) | (~node2(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17679,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s218, c_n2) | (~node2(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17680,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s218, c_n2) | (~node2(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17679, 17678])).
% 8.77/6.40 tff(17681,plain,
% 8.77/6.40 (~node2(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17680, 410, 17564])).
% 8.77/6.40 tff(17682,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s218, c_n1) | (~node1(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s218, c_n1) | (~node1(s218)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17683,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s218, c_n1) | (~node1(s218)))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17684,plain,
% 8.77/6.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s218, c_n1) | (~node1(s218))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 8.77/6.40 tff(17685,plain,
% 8.77/6.40 (~node1(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17684, 421, 17619])).
% 8.77/6.40 tff(17686,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s218, s219)) | node7(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s218, s219)) | node7(s218, s219))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17687,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s218, s219)) | node7(s218, s219))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17688,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s218, s219)) | node7(s218, s219)),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 8.77/6.40 tff(17689,plain,
% 8.77/6.40 (node7(s218, s219)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17688, 206, 17630])).
% 8.77/6.40 tff(17690,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17691,plain,
% 8.77/6.40 (((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1)) <=> (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 8.77/6.40 inference(rewrite,[status(thm)],[])).
% 8.77/6.40 tff(17692,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219))))),
% 8.77/6.40 inference(monotonicity,[status(thm)],[17691])).
% 8.77/6.40 tff(17693,plain,
% 8.77/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 8.77/6.40 inference(transitivity,[status(thm)],[17692, 17690])).
% 8.77/6.40 tff(17694,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1))),
% 8.77/6.40 inference(quant_inst,[status(thm)],[])).
% 8.77/6.40 tff(17695,plain,
% 8.77/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219))),
% 8.77/6.40 inference(modus_ponens,[status(thm)],[17694, 17693])).
% 8.77/6.40 tff(17696,plain,
% 8.77/6.40 (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17695, 584, 17689])).
% 8.77/6.40 tff(17697,plain,
% 8.77/6.40 (m_main_v_state1(s219, c_n1)),
% 8.77/6.40 inference(unit_resolution,[status(thm)],[17696, 17685, 17615, 17681, 17677, 17673, 17669])).
% 8.77/6.40 tff(17698,plain,
% 8.77/6.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s219, c_n2) | (~node8(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s219, c_n2) | (~node8(s219)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17699,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s219, c_n2) | (~node8(s219)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17700,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s219, c_n2) | (~node8(s219))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17699, 17698])).
% 8.77/6.41 tff(17701,plain,
% 8.77/6.41 (~node8(s219)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17700, 271, 17646])).
% 8.77/6.41 tff(17702,plain,
% 8.77/6.41 (succ(s219, s220) <=> succ(s219, s220)),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17703,axiom,(succ(s219, s220)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound220')).
% 8.77/6.41 tff(17704,plain,
% 8.77/6.41 (succ(s219, s220)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17703, 17702])).
% 8.77/6.41 tff(17705,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17706,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17707,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 8.77/6.41 tff(17708,plain,
% 8.77/6.41 (trans(s219, s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17707, 17704, 32])).
% 8.77/6.41 tff(17709,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s219, s220)) | node14(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s219, s220)) | node14(s219, s220))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17710,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s219, s220)) | node14(s219, s220))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17711,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s219, s220)) | node14(s219, s220)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 8.77/6.41 tff(17712,plain,
% 8.77/6.41 (node14(s219, s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17711, 46, 17708])).
% 8.77/6.41 tff(17713,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17714,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17715,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 8.77/6.41 tff(17716,plain,
% 8.77/6.41 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | m_main_v_state2(s220, c_c2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17715, 617, 17712])).
% 8.77/6.41 tff(17717,plain,
% 8.77/6.41 (m_main_v_state2(s220, c_c2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17716, 17701, 17697, 17661, 17654, 17650])).
% 8.77/6.41 tff(17718,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17719,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17720,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17719, 17718])).
% 8.77/6.41 tff(17721,plain,
% 8.77/6.41 (~m_main_v_state2(s220, c_t2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17720, 260, 17717])).
% 8.77/6.41 tff(17722,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s220, c_t2) | (~node12(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s220, c_t2) | (~node12(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17723,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s220, c_t2) | (~node12(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17724,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s220, c_t2) | (~node12(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 8.77/6.41 tff(17725,plain,
% 8.77/6.41 (~node12(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17724, 633, 17721])).
% 8.77/6.41 tff(17726,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s219, s220)) | node7(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s219, s220)) | node7(s219, s220))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17727,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s219, s220)) | node7(s219, s220))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17728,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s219, s220)) | node7(s219, s220)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 8.77/6.41 tff(17729,plain,
% 8.77/6.41 (node7(s219, s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17728, 206, 17708])).
% 8.77/6.41 tff(17730,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17731,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17732,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 8.77/6.41 tff(17733,plain,
% 8.77/6.41 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_state1(s220, c_t1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17732, 651, 17729])).
% 8.77/6.41 tff(17734,plain,
% 8.77/6.41 (m_main_v_state1(s220, c_t1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17733, 17661, 17697])).
% 8.77/6.41 tff(17735,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17736,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17737,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 8.77/6.41 tff(17738,plain,
% 8.77/6.41 (~m_main_v_state1(s220, c_n1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17737, 10, 17734])).
% 8.77/6.41 tff(17739,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s220, c_n1) | (~node11(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s220, c_n1) | (~node11(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17740,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s220, c_n1) | (~node11(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17741,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s220, c_n1) | (~node11(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 8.77/6.41 tff(17742,plain,
% 8.77/6.41 (~node11(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17741, 238, 17738])).
% 8.77/6.41 tff(17743,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17744,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17745,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17744, 17743])).
% 8.77/6.41 tff(17746,plain,
% 8.77/6.41 (~m_main_v_state1(s220, c_c1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17745, 539, 17734])).
% 8.77/6.41 tff(17747,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s220, c_c1) | (~node10(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s220, c_c1) | (~node10(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17748,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s220, c_c1) | (~node10(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17749,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s220, c_c1) | (~node10(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 8.77/6.41 tff(17750,plain,
% 8.77/6.41 (~node10(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17749, 675, 17746])).
% 8.77/6.41 tff(17751,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s220, c_n1) | (~node9(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s220, c_n1) | (~node9(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17752,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s220, c_n1) | (~node9(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17753,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s220, c_n1) | (~node9(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 8.77/6.41 tff(17754,plain,
% 8.77/6.41 (~node9(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17753, 686, 17738])).
% 8.77/6.41 tff(17755,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17756,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17757,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 8.77/6.41 tff(17758,plain,
% 8.77/6.41 (~m_main_v_state2(s220, c_n2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17757, 697, 17717])).
% 8.77/6.41 tff(17759,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s220, c_n2) | (~node8(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s220, c_n2) | (~node8(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17760,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s220, c_n2) | (~node8(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17761,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s220, c_n2) | (~node8(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 8.77/6.41 tff(17762,plain,
% 8.77/6.41 (~node8(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17761, 271, 17758])).
% 8.77/6.41 tff(17763,plain,
% 8.77/6.41 (succ(s220, s221) <=> succ(s220, s221)),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17764,axiom,(succ(s220, s221)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound221')).
% 8.77/6.41 tff(17765,plain,
% 8.77/6.41 (succ(s220, s221)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 8.77/6.41 tff(17766,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17767,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17768,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 8.77/6.41 tff(17769,plain,
% 8.77/6.41 (trans(s220, s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17768, 17765, 32])).
% 8.77/6.41 tff(17770,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s220, s221)) | node14(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s220, s221)) | node14(s220, s221))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17771,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s220, s221)) | node14(s220, s221))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17772,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s220, s221)) | node14(s220, s221)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 8.77/6.41 tff(17773,plain,
% 8.77/6.41 (node14(s220, s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17772, 46, 17769])).
% 8.77/6.41 tff(17774,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17775,plain,
% 8.77/6.41 (((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2)) <=> (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17776,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2))))),
% 8.77/6.41 inference(monotonicity,[status(thm)],[17775])).
% 8.77/6.41 tff(17777,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 8.77/6.41 inference(transitivity,[status(thm)],[17776, 17774])).
% 8.77/6.41 tff(17778,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17779,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17778, 17777])).
% 8.77/6.41 tff(17780,plain,
% 8.77/6.41 (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~m_main_v_state2(s220, c_c2))),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17779, 726, 17773])).
% 8.77/6.41 tff(17781,plain,
% 8.77/6.41 (m_main_v_state2(s221, c_n2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17780, 17762, 17717, 17754, 17750, 17742, 17725])).
% 8.77/6.41 tff(17782,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17783,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17784,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17783, 17782])).
% 8.77/6.41 tff(17785,plain,
% 8.77/6.41 (~m_main_v_state2(s221, c_c2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17784, 697, 17781])).
% 8.77/6.41 tff(17786,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s221, c_c2) | (~node3(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s221, c_c2) | (~node3(s221)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17787,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s221, c_c2) | (~node3(s221)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17788,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s221, c_c2) | (~node3(s221))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17787, 17786])).
% 8.77/6.41 tff(17789,plain,
% 8.77/6.41 (~node3(s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17788, 399, 17785])).
% 8.77/6.41 tff(17790,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s220, c_n1) | (~node1(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s220, c_n1) | (~node1(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17791,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s220, c_n1) | (~node1(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17792,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s220, c_n1) | (~node1(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17791, 17790])).
% 8.77/6.41 tff(17793,plain,
% 8.77/6.41 (~node1(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17792, 421, 17738])).
% 8.77/6.41 tff(17794,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s219, s220)) | node18(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s219, s220)) | node18(s219, s220))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17795,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s219, s220)) | node18(s219, s220))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17796,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s219, s220)) | node18(s219, s220)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 8.77/6.41 tff(17797,plain,
% 8.77/6.41 (node18(s219, s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17796, 125, 17708])).
% 8.77/6.41 tff(17798,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17799,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17800,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17799, 17798])).
% 8.77/6.41 tff(17801,plain,
% 8.77/6.41 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_turn(s220, c_2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17800, 760, 17797])).
% 8.77/6.41 tff(17802,plain,
% 8.77/6.41 (m_main_v_turn(s220, c_2)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17801, 17661, 17697])).
% 8.77/6.41 tff(17803,plain,
% 8.77/6.41 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17804,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17805,plain,
% 8.77/6.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17804, 17803])).
% 8.77/6.41 tff(17806,plain,
% 8.77/6.41 (~m_main_v_turn(s220, c_1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17805, 156, 17802])).
% 8.77/6.41 tff(17807,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s220, c_1) | (~node5(s220)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s220, c_1) | (~node5(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17808,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s220, c_1) | (~node5(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17809,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s220, c_1) | (~node5(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 8.77/6.41 tff(17810,plain,
% 8.77/6.41 (~node5(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17809, 776, 17806])).
% 8.77/6.41 tff(17811,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s220, c_n1) | (~node2(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s220, c_n1) | (~node2(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17812,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s220, c_n1) | (~node2(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17813,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s220, c_n1) | (~node2(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 8.77/6.41 tff(17814,plain,
% 8.77/6.41 (~node2(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17813, 787, 17738])).
% 8.77/6.41 tff(17815,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s220, c_n1) | (~node3(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s220, c_n1) | (~node3(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17816,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s220, c_n1) | (~node3(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17817,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s220, c_n1) | (~node3(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 8.77/6.41 tff(17818,plain,
% 8.77/6.41 (~node3(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17817, 798, 17738])).
% 8.77/6.41 tff(17819,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s220, c_n2) | (~node4(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s220, c_n2) | (~node4(s220)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17820,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s220, c_n2) | (~node4(s220)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17821,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s220, c_n2) | (~node4(s220))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 8.77/6.41 tff(17822,plain,
% 8.77/6.41 (~node4(s220)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17821, 388, 17758])).
% 8.77/6.41 tff(17823,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s220, s221)) | node7(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s220, s221)) | node7(s220, s221))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17824,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s220, s221)) | node7(s220, s221))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17825,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s220, s221)) | node7(s220, s221)),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17824, 17823])).
% 8.77/6.41 tff(17826,plain,
% 8.77/6.41 (node7(s220, s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17825, 206, 17769])).
% 8.77/6.41 tff(17827,plain,
% 8.77/6.41 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17828,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17829,plain,
% 8.77/6.41 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 8.77/6.41 tff(17830,plain,
% 8.77/6.41 (m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17829, 820, 17826])).
% 8.77/6.41 tff(17831,plain,
% 8.77/6.41 (node6(s220, s221)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17830, 17822, 17746, 17818, 17814, 17810, 17793])).
% 8.77/6.41 tff(17832,plain,
% 8.77/6.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17833,plain,
% 8.77/6.41 (((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1))) <=> (m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17834,plain,
% 8.77/6.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221))))),
% 8.77/6.41 inference(monotonicity,[status(thm)],[17833])).
% 8.77/6.41 tff(17835,plain,
% 8.77/6.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 8.77/6.41 inference(transitivity,[status(thm)],[17834, 17832])).
% 8.77/6.41 tff(17836,plain,
% 8.77/6.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.41 tff(17837,plain,
% 8.77/6.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221))),
% 8.77/6.41 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 8.77/6.41 tff(17838,plain,
% 8.77/6.41 (~m_main_v_state1(s221, c_n1)),
% 8.77/6.41 inference(unit_resolution,[status(thm)],[17837, 835, 17738, 17831])).
% 8.77/6.41 tff(17839,plain,
% 8.77/6.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s221, c_n1) | (~node2(s221)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s221, c_n1) | (~node2(s221)))),
% 8.77/6.41 inference(rewrite,[status(thm)],[])).
% 8.77/6.41 tff(17840,plain,
% 8.77/6.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s221, c_n1) | (~node2(s221)))),
% 8.77/6.41 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17841,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s221, c_n1) | (~node2(s221))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 8.77/6.42 tff(17842,plain,
% 8.77/6.42 (~node2(s221)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17841, 787, 17838])).
% 8.77/6.42 tff(17843,plain,
% 8.77/6.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17844,plain,
% 8.77/6.42 (((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1)) <=> ((~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17845,plain,
% 8.77/6.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221))))),
% 8.77/6.42 inference(monotonicity,[status(thm)],[17844])).
% 8.77/6.42 tff(17846,plain,
% 8.77/6.42 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 8.77/6.42 inference(transitivity,[status(thm)],[17845, 17843])).
% 8.77/6.42 tff(17847,plain,
% 8.77/6.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17848,plain,
% 8.77/6.42 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 8.77/6.42 tff(17849,plain,
% 8.77/6.42 (m_main_v_state1(s221, c_t1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17848, 856, 17734, 17831])).
% 8.77/6.42 tff(17850,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17851,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17852,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17851, 17850])).
% 8.77/6.42 tff(17853,plain,
% 8.77/6.42 (~m_main_v_state2(s221, c_t2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17852, 77, 17781])).
% 8.77/6.42 tff(17854,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s221, c_t2) | (~node1(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s221, c_t2) | (~node1(s221)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17855,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s221, c_t2) | (~node1(s221)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17856,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s221, c_t2) | (~node1(s221))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 8.77/6.42 tff(17857,plain,
% 8.77/6.42 (~node1(s221)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17856, 195, 17853])).
% 8.77/6.42 tff(17858,plain,
% 8.77/6.42 (succ(s221, s222) <=> succ(s221, s222)),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17859,axiom,(succ(s221, s222)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound222')).
% 8.77/6.42 tff(17860,plain,
% 8.77/6.42 (succ(s221, s222)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17859, 17858])).
% 8.77/6.42 tff(17861,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17862,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17863,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17862, 17861])).
% 8.77/6.42 tff(17864,plain,
% 8.77/6.42 (trans(s221, s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17863, 17860, 32])).
% 8.77/6.42 tff(17865,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s221, s222)) | node7(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s221, s222)) | node7(s221, s222))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17866,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s221, s222)) | node7(s221, s222))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17867,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s221, s222)) | node7(s221, s222)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17866, 17865])).
% 8.77/6.42 tff(17868,plain,
% 8.77/6.42 (node7(s221, s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17867, 206, 17864])).
% 8.77/6.42 tff(17869,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17870,plain,
% 8.77/6.42 (((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1)) <=> ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17871,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222))))),
% 8.77/6.42 inference(monotonicity,[status(thm)],[17870])).
% 8.77/6.42 tff(17872,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 8.77/6.42 inference(transitivity,[status(thm)],[17871, 17869])).
% 8.77/6.42 tff(17873,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17874,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17873, 17872])).
% 8.77/6.42 tff(17875,plain,
% 8.77/6.42 ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17874, 892, 17868])).
% 8.77/6.42 tff(17876,plain,
% 8.77/6.42 (m_main_v_state1(s222, c_c1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17875, 17857, 17781, 17849, 17842, 17789])).
% 8.77/6.42 tff(17877,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17878,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17879,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17878, 17877])).
% 8.77/6.42 tff(17880,plain,
% 8.77/6.42 (~m_main_v_state1(s222, c_t1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17879, 539, 17876])).
% 8.77/6.42 tff(17881,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s222, c_t1) | (~node5(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s222, c_t1) | (~node5(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17882,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s222, c_t1) | (~node5(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17883,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s222, c_t1) | (~node5(s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17882, 17881])).
% 8.77/6.42 tff(17884,plain,
% 8.77/6.42 (~node5(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17883, 550, 17880])).
% 8.77/6.42 tff(17885,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s221, s222)) | node14(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s221, s222)) | node14(s221, s222))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17886,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s221, s222)) | node14(s221, s222))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17887,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s221, s222)) | node14(s221, s222)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 8.77/6.42 tff(17888,plain,
% 8.77/6.42 (node14(s221, s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17887, 46, 17864])).
% 8.77/6.42 tff(17889,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17890,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17891,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 8.77/6.42 tff(17892,plain,
% 8.77/6.42 ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state2(s222, c_t2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17891, 922, 17888])).
% 8.77/6.42 tff(17893,plain,
% 8.77/6.42 (m_main_v_state2(s222, c_t2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17892, 17849, 17781])).
% 8.77/6.42 tff(17894,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17895,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17896,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 8.77/6.42 tff(17897,plain,
% 8.77/6.42 (~m_main_v_state2(s222, c_n2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17896, 77, 17893])).
% 8.77/6.42 tff(17898,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s222, c_n2) | (~node4(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s222, c_n2) | (~node4(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17899,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s222, c_n2) | (~node4(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17900,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s222, c_n2) | (~node4(s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17899, 17898])).
% 8.77/6.42 tff(17901,plain,
% 8.77/6.42 (~node4(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17900, 388, 17897])).
% 8.77/6.42 tff(17902,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17903,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17904,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17903, 17902])).
% 8.77/6.42 tff(17905,plain,
% 8.77/6.42 (~m_main_v_state2(s222, c_c2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17904, 260, 17893])).
% 8.77/6.42 tff(17906,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s222, c_c2) | (~node3(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s222, c_c2) | (~node3(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17907,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s222, c_c2) | (~node3(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17908,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s222, c_c2) | (~node3(s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17907, 17906])).
% 8.77/6.42 tff(17909,plain,
% 8.77/6.42 (~node3(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17908, 399, 17905])).
% 8.77/6.42 tff(17910,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s222, c_n2) | (~node2(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s222, c_n2) | (~node2(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17911,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s222, c_n2) | (~node2(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17912,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s222, c_n2) | (~node2(s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 8.77/6.42 tff(17913,plain,
% 8.77/6.42 (~node2(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17912, 410, 17897])).
% 8.77/6.42 tff(17914,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17915,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17916,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17915, 17914])).
% 8.77/6.42 tff(17917,plain,
% 8.77/6.42 (~m_main_v_state1(s222, c_n1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17916, 454, 17876])).
% 8.77/6.42 tff(17918,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s222, c_n1) | (~node1(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s222, c_n1) | (~node1(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17919,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s222, c_n1) | (~node1(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17920,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s222, c_n1) | (~node1(s222))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 8.77/6.42 tff(17921,plain,
% 8.77/6.42 (~node1(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17920, 421, 17917])).
% 8.77/6.42 tff(17922,plain,
% 8.77/6.42 (succ(s222, s223) <=> succ(s222, s223)),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17923,axiom,(succ(s222, s223)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound223')).
% 8.77/6.42 tff(17924,plain,
% 8.77/6.42 (succ(s222, s223)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 8.77/6.42 tff(17925,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17926,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17927,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 8.77/6.42 tff(17928,plain,
% 8.77/6.42 (trans(s222, s223)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17927, 17924, 32])).
% 8.77/6.42 tff(17929,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s222, s223)) | node7(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s222, s223)) | node7(s222, s223))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17930,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s222, s223)) | node7(s222, s223))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17931,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s222, s223)) | node7(s222, s223)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 8.77/6.42 tff(17932,plain,
% 8.77/6.42 (node7(s222, s223)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17931, 206, 17928])).
% 8.77/6.42 tff(17933,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17934,plain,
% 8.77/6.42 (((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1)) <=> (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17935,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223))))),
% 8.77/6.42 inference(monotonicity,[status(thm)],[17934])).
% 8.77/6.42 tff(17936,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 8.77/6.42 inference(transitivity,[status(thm)],[17935, 17933])).
% 8.77/6.42 tff(17937,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17938,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 8.77/6.42 tff(17939,plain,
% 8.77/6.42 (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17938, 584, 17932])).
% 8.77/6.42 tff(17940,plain,
% 8.77/6.42 (m_main_v_state1(s223, c_n1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17939, 17921, 17876, 17913, 17909, 17901, 17884])).
% 8.77/6.42 tff(17941,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s221, c_t2) | (~node15(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s221, c_t2) | (~node15(s221)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17942,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s221, c_t2) | (~node15(s221)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17943,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s221, c_t2) | (~node15(s221))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 8.77/6.42 tff(17944,plain,
% 8.77/6.42 (~node15(s221)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17943, 103, 17853])).
% 8.77/6.42 tff(17945,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s221, s222)) | node18(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s221, s222)) | node18(s221, s222))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17946,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s221, s222)) | node18(s221, s222))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17947,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s221, s222)) | node18(s221, s222)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 8.77/6.42 tff(17948,plain,
% 8.77/6.42 (node18(s221, s222)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17947, 125, 17864])).
% 8.77/6.42 tff(17949,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17950,plain,
% 8.77/6.42 (((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1)) <=> (node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17951,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)))),
% 8.77/6.42 inference(monotonicity,[status(thm)],[17950])).
% 8.77/6.42 tff(17952,plain,
% 8.77/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 8.77/6.42 inference(transitivity,[status(thm)],[17951, 17949])).
% 8.77/6.42 tff(17953,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17954,plain,
% 8.77/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 8.77/6.42 tff(17955,plain,
% 8.77/6.42 (node15(s221) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17954, 992, 17948])).
% 8.77/6.42 tff(17956,plain,
% 8.77/6.42 (m_main_v_turn(s222, c_1)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17955, 17944, 17781, 17849])).
% 8.77/6.42 tff(17957,plain,
% 8.77/6.42 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17958,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17959,plain,
% 8.77/6.42 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2))),
% 8.77/6.42 inference(modus_ponens,[status(thm)],[17958, 17957])).
% 8.77/6.42 tff(17960,plain,
% 8.77/6.42 (~m_main_v_turn(s222, c_2)),
% 8.77/6.42 inference(unit_resolution,[status(thm)],[17959, 156, 17956])).
% 8.77/6.42 tff(17961,plain,
% 8.77/6.42 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s222, c_2) | (~node12(s222)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s222, c_2) | (~node12(s222)))),
% 8.77/6.42 inference(rewrite,[status(thm)],[])).
% 8.77/6.42 tff(17962,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s222, c_2) | (~node12(s222)))),
% 8.77/6.42 inference(quant_inst,[status(thm)],[])).
% 8.77/6.42 tff(17963,plain,
% 8.77/6.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s222, c_2) | (~node12(s222))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17962, 17961])).
% 8.77/6.43 tff(17964,plain,
% 8.77/6.43 (~node12(s222)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17963, 184, 17960])).
% 8.77/6.43 tff(17965,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s222, c_n2) | (~node8(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s222, c_n2) | (~node8(s222)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17966,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s222, c_n2) | (~node8(s222)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17967,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s222, c_n2) | (~node8(s222))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17966, 17965])).
% 8.77/6.43 tff(17968,plain,
% 8.77/6.43 (~node8(s222)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17967, 271, 17897])).
% 8.77/6.43 tff(17969,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s222, c_n2) | (~node9(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s222, c_n2) | (~node9(s222)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17970,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s222, c_n2) | (~node9(s222)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17971,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s222, c_n2) | (~node9(s222))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17970, 17969])).
% 8.77/6.43 tff(17972,plain,
% 8.77/6.43 (~node9(s222)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17971, 88, 17897])).
% 8.77/6.43 tff(17973,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s222, c_n2) | (~node10(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s222, c_n2) | (~node10(s222)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17974,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s222, c_n2) | (~node10(s222)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17975,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s222, c_n2) | (~node10(s222))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 8.77/6.43 tff(17976,plain,
% 8.77/6.43 (~node10(s222)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17975, 249, 17897])).
% 8.77/6.43 tff(17977,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s222, c_n1) | (~node11(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s222, c_n1) | (~node11(s222)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17978,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s222, c_n1) | (~node11(s222)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17979,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s222, c_n1) | (~node11(s222))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 8.77/6.43 tff(17980,plain,
% 8.77/6.43 (~node11(s222)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17979, 238, 17917])).
% 8.77/6.43 tff(17981,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s222, s223)) | node14(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s222, s223)) | node14(s222, s223))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17982,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s222, s223)) | node14(s222, s223))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17983,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s222, s223)) | node14(s222, s223)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17982, 17981])).
% 8.77/6.43 tff(17984,plain,
% 8.77/6.43 (node14(s222, s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17983, 46, 17928])).
% 8.77/6.43 tff(17985,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17986,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17987,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 8.77/6.43 tff(17988,plain,
% 8.77/6.43 (m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17987, 296, 17984])).
% 8.77/6.43 tff(17989,plain,
% 8.77/6.43 (node13(s222, s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17988, 17980, 17905, 17976, 17972, 17968, 17964])).
% 8.77/6.43 tff(17990,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17991,plain,
% 8.77/6.43 (((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2)) <=> ((~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17992,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223))))),
% 8.77/6.43 inference(monotonicity,[status(thm)],[17991])).
% 8.77/6.43 tff(17993,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 8.77/6.43 inference(transitivity,[status(thm)],[17992, 17990])).
% 8.77/6.43 tff(17994,plain,
% 8.77/6.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(17995,plain,
% 8.77/6.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17994, 17993])).
% 8.77/6.43 tff(17996,plain,
% 8.77/6.43 (m_main_v_state2(s223, c_t2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[17995, 518, 17893, 17989])).
% 8.77/6.43 tff(17997,plain,
% 8.77/6.43 (succ(s223, s224) <=> succ(s223, s224)),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(17998,axiom,(succ(s223, s224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound224')).
% 8.77/6.43 tff(17999,plain,
% 8.77/6.43 (succ(s223, s224)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[17998, 17997])).
% 8.77/6.43 tff(18000,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18001,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18002,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18001, 18000])).
% 8.77/6.43 tff(18003,plain,
% 8.77/6.43 (trans(s223, s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18002, 17999, 32])).
% 8.77/6.43 tff(18004,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s223, s224)) | node7(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s223, s224)) | node7(s223, s224))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18005,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s223, s224)) | node7(s223, s224))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18006,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s223, s224)) | node7(s223, s224)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 8.77/6.43 tff(18007,plain,
% 8.77/6.43 (node7(s223, s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18006, 206, 18003])).
% 8.77/6.43 tff(18008,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18009,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18010,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18009, 18008])).
% 8.77/6.43 tff(18011,plain,
% 8.77/6.43 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_state1(s224, c_t1)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18010, 651, 18007])).
% 8.77/6.43 tff(18012,plain,
% 8.77/6.43 (m_main_v_state1(s224, c_t1)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18011, 17996, 17940])).
% 8.77/6.43 tff(18013,plain,
% 8.77/6.43 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18014,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18015,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 8.77/6.43 tff(18016,plain,
% 8.77/6.43 (~m_main_v_state1(s224, c_n1)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18015, 10, 18012])).
% 8.77/6.43 tff(18017,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s224, c_n1) | (~node1(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s224, c_n1) | (~node1(s224)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18018,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s224, c_n1) | (~node1(s224)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18019,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s224, c_n1) | (~node1(s224))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 8.77/6.43 tff(18020,plain,
% 8.77/6.43 (~node1(s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18019, 421, 18016])).
% 8.77/6.43 tff(18021,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s223, s224)) | node18(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s223, s224)) | node18(s223, s224))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18022,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s223, s224)) | node18(s223, s224))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18023,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s223, s224)) | node18(s223, s224)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 8.77/6.43 tff(18024,plain,
% 8.77/6.43 (node18(s223, s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18023, 125, 18003])).
% 8.77/6.43 tff(18025,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18026,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18027,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 8.77/6.43 tff(18028,plain,
% 8.77/6.43 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_turn(s224, c_2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18027, 760, 18024])).
% 8.77/6.43 tff(18029,plain,
% 8.77/6.43 (m_main_v_turn(s224, c_2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18028, 17996, 17940])).
% 8.77/6.43 tff(18030,plain,
% 8.77/6.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18031,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18032,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 8.77/6.43 tff(18033,plain,
% 8.77/6.43 (~m_main_v_turn(s224, c_1)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18032, 156, 18029])).
% 8.77/6.43 tff(18034,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s224, c_1) | (~node5(s224)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s224, c_1) | (~node5(s224)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18035,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s224, c_1) | (~node5(s224)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18036,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s224, c_1) | (~node5(s224))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 8.77/6.43 tff(18037,plain,
% 8.77/6.43 (~node5(s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18036, 776, 18033])).
% 8.77/6.43 tff(18038,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s224, c_n1) | (~node2(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s224, c_n1) | (~node2(s224)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18039,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s224, c_n1) | (~node2(s224)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18040,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s224, c_n1) | (~node2(s224))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 8.77/6.43 tff(18041,plain,
% 8.77/6.43 (~node2(s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18040, 787, 18016])).
% 8.77/6.43 tff(18042,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s224, c_n1) | (~node3(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s224, c_n1) | (~node3(s224)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18043,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s224, c_n1) | (~node3(s224)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18044,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s224, c_n1) | (~node3(s224))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18043, 18042])).
% 8.77/6.43 tff(18045,plain,
% 8.77/6.43 (~node3(s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18044, 798, 18016])).
% 8.77/6.43 tff(18046,plain,
% 8.77/6.43 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18047,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18048,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18047, 18046])).
% 8.77/6.43 tff(18049,plain,
% 8.77/6.43 (~m_main_v_state1(s224, c_c1)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18048, 539, 18012])).
% 8.77/6.43 tff(18050,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18051,plain,
% 8.77/6.43 (((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2))) <=> (m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18052,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223))))),
% 8.77/6.43 inference(monotonicity,[status(thm)],[18051])).
% 8.77/6.43 tff(18053,plain,
% 8.77/6.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 8.77/6.43 inference(transitivity,[status(thm)],[18052, 18050])).
% 8.77/6.43 tff(18054,plain,
% 8.77/6.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18055,plain,
% 8.77/6.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 8.77/6.43 tff(18056,plain,
% 8.77/6.43 (~m_main_v_state2(s223, c_n2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18055, 311, 17897, 17989])).
% 8.77/6.43 tff(18057,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s223, c_n2) | (~node9(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s223, c_n2) | (~node9(s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18058,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s223, c_n2) | (~node9(s223)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18059,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s223, c_n2) | (~node9(s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 8.77/6.43 tff(18060,plain,
% 8.77/6.43 (~node9(s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18059, 88, 18056])).
% 8.77/6.43 tff(18061,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s223, c_n2) | (~node10(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s223, c_n2) | (~node10(s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18062,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s223, c_n2) | (~node10(s223)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18063,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s223, c_n2) | (~node10(s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 8.77/6.43 tff(18064,plain,
% 8.77/6.43 (~node10(s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18063, 249, 18056])).
% 8.77/6.43 tff(18065,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s223, c_n2) | (~node8(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s223, c_n2) | (~node8(s223)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18066,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s223, c_n2) | (~node8(s223)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18067,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s223, c_n2) | (~node8(s223))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 8.77/6.43 tff(18068,plain,
% 8.77/6.43 (~node8(s223)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18067, 271, 18056])).
% 8.77/6.43 tff(18069,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s223, s224)) | node14(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s223, s224)) | node14(s223, s224))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18070,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s223, s224)) | node14(s223, s224))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18071,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s223, s224)) | node14(s223, s224)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18070, 18069])).
% 8.77/6.43 tff(18072,plain,
% 8.77/6.43 (node14(s223, s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18071, 46, 18003])).
% 8.77/6.43 tff(18073,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18074,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18075,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 8.77/6.43 tff(18076,plain,
% 8.77/6.43 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | m_main_v_state2(s224, c_c2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18075, 617, 18072])).
% 8.77/6.43 tff(18077,plain,
% 8.77/6.43 (m_main_v_state2(s224, c_c2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18076, 18068, 17940, 17996, 18064, 18060])).
% 8.77/6.43 tff(18078,plain,
% 8.77/6.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18079,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18080,plain,
% 8.77/6.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18079, 18078])).
% 8.77/6.43 tff(18081,plain,
% 8.77/6.43 (~m_main_v_state2(s224, c_n2)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18080, 697, 18077])).
% 8.77/6.43 tff(18082,plain,
% 8.77/6.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s224, c_n2) | (~node4(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s224, c_n2) | (~node4(s224)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18083,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s224, c_n2) | (~node4(s224)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18084,plain,
% 8.77/6.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s224, c_n2) | (~node4(s224))),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 8.77/6.43 tff(18085,plain,
% 8.77/6.43 (~node4(s224)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18084, 388, 18081])).
% 8.77/6.43 tff(18086,plain,
% 8.77/6.43 (succ(s224, s225) <=> succ(s224, s225)),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18087,axiom,(succ(s224, s225)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound225')).
% 8.77/6.43 tff(18088,plain,
% 8.77/6.43 (succ(s224, s225)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 8.77/6.43 tff(18089,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18090,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18091,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 8.77/6.43 tff(18092,plain,
% 8.77/6.43 (trans(s224, s225)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18091, 18088, 32])).
% 8.77/6.43 tff(18093,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s224, s225)) | node7(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s224, s225)) | node7(s224, s225))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18094,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s224, s225)) | node7(s224, s225))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18095,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s224, s225)) | node7(s224, s225)),
% 8.77/6.43 inference(modus_ponens,[status(thm)],[18094, 18093])).
% 8.77/6.43 tff(18096,plain,
% 8.77/6.43 (node7(s224, s225)),
% 8.77/6.43 inference(unit_resolution,[status(thm)],[18095, 206, 18092])).
% 8.77/6.43 tff(18097,plain,
% 8.77/6.43 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))),
% 8.77/6.43 inference(rewrite,[status(thm)],[])).
% 8.77/6.43 tff(18098,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))),
% 8.77/6.43 inference(quant_inst,[status(thm)],[])).
% 8.77/6.43 tff(18099,plain,
% 8.77/6.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 8.77/6.44 tff(18100,plain,
% 8.77/6.44 (m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18099, 820, 18096])).
% 8.77/6.44 tff(18101,plain,
% 8.77/6.44 (node6(s224, s225)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18100, 18085, 18049, 18045, 18041, 18037, 18020])).
% 8.77/6.44 tff(18102,plain,
% 8.77/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18103,plain,
% 8.77/6.44 (((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1)) <=> ((~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18104,plain,
% 8.77/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225))))),
% 8.77/6.44 inference(monotonicity,[status(thm)],[18103])).
% 8.77/6.44 tff(18105,plain,
% 8.77/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 8.77/6.44 inference(transitivity,[status(thm)],[18104, 18102])).
% 8.77/6.44 tff(18106,plain,
% 8.77/6.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18107,plain,
% 8.77/6.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 8.77/6.44 tff(18108,plain,
% 8.77/6.44 (m_main_v_state1(s225, c_t1)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18107, 856, 18012, 18101])).
% 8.77/6.44 tff(18109,plain,
% 8.77/6.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18110,plain,
% 8.77/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18111,plain,
% 8.77/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 8.77/6.44 tff(18112,plain,
% 8.77/6.44 (~m_main_v_state2(s224, c_t2)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18111, 260, 18077])).
% 8.77/6.44 tff(18113,plain,
% 8.77/6.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s224, c_t2) | (~node12(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s224, c_t2) | (~node12(s224)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18114,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s224, c_t2) | (~node12(s224)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18115,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s224, c_t2) | (~node12(s224))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 8.77/6.44 tff(18116,plain,
% 8.77/6.44 (~node12(s224)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18115, 633, 18112])).
% 8.77/6.44 tff(18117,plain,
% 8.77/6.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s224, c_n1) | (~node11(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s224, c_n1) | (~node11(s224)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18118,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s224, c_n1) | (~node11(s224)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18119,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s224, c_n1) | (~node11(s224))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18118, 18117])).
% 8.77/6.44 tff(18120,plain,
% 8.77/6.44 (~node11(s224)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18119, 238, 18016])).
% 8.77/6.44 tff(18121,plain,
% 8.77/6.44 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s224, c_c1) | (~node10(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s224, c_c1) | (~node10(s224)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18122,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s224, c_c1) | (~node10(s224)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18123,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s224, c_c1) | (~node10(s224))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 8.77/6.44 tff(18124,plain,
% 8.77/6.44 (~node10(s224)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18123, 675, 18049])).
% 8.77/6.44 tff(18125,plain,
% 8.77/6.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s224, c_n1) | (~node9(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s224, c_n1) | (~node9(s224)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18126,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s224, c_n1) | (~node9(s224)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18127,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s224, c_n1) | (~node9(s224))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18126, 18125])).
% 8.77/6.44 tff(18128,plain,
% 8.77/6.44 (~node9(s224)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18127, 686, 18016])).
% 8.77/6.44 tff(18129,plain,
% 8.77/6.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s224, c_n2) | (~node8(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s224, c_n2) | (~node8(s224)))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18130,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s224, c_n2) | (~node8(s224)))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18131,plain,
% 8.77/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s224, c_n2) | (~node8(s224))),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 8.77/6.44 tff(18132,plain,
% 8.77/6.44 (~node8(s224)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18131, 271, 18081])).
% 8.77/6.44 tff(18133,plain,
% 8.77/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s224, s225)) | node14(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s224, s225)) | node14(s224, s225))),
% 8.77/6.44 inference(rewrite,[status(thm)],[])).
% 8.77/6.44 tff(18134,plain,
% 8.77/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s224, s225)) | node14(s224, s225))),
% 8.77/6.44 inference(quant_inst,[status(thm)],[])).
% 8.77/6.44 tff(18135,plain,
% 8.77/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s224, s225)) | node14(s224, s225)),
% 8.77/6.44 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 8.77/6.44 tff(18136,plain,
% 8.77/6.44 (node14(s224, s225)),
% 8.77/6.44 inference(unit_resolution,[status(thm)],[18135, 46, 18092])).
% 8.77/6.44 tff(18137,plain,
% 8.77/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18138,plain,
% 8.81/6.44 (((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2)) <=> (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18139,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2))))),
% 8.81/6.44 inference(monotonicity,[status(thm)],[18138])).
% 8.81/6.44 tff(18140,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 8.81/6.44 inference(transitivity,[status(thm)],[18139, 18137])).
% 8.81/6.44 tff(18141,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18142,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18141, 18140])).
% 8.81/6.44 tff(18143,plain,
% 8.81/6.44 (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~m_main_v_state2(s224, c_c2))),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18142, 726, 18136])).
% 8.81/6.44 tff(18144,plain,
% 8.81/6.44 (m_main_v_state2(s225, c_n2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18143, 18132, 18077, 18128, 18124, 18120, 18116])).
% 8.81/6.44 tff(18145,plain,
% 8.81/6.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18146,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18147,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 8.81/6.44 tff(18148,plain,
% 8.81/6.44 (~m_main_v_state2(s225, c_t2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18147, 77, 18144])).
% 8.81/6.44 tff(18149,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s225, c_t2) | (~node15(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s225, c_t2) | (~node15(s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18150,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s225, c_t2) | (~node15(s225)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18151,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s225, c_t2) | (~node15(s225))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 8.81/6.44 tff(18152,plain,
% 8.81/6.44 (~node15(s225)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18151, 103, 18148])).
% 8.81/6.44 tff(18153,plain,
% 8.81/6.44 (succ(s225, s226) <=> succ(s225, s226)),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18154,axiom,(succ(s225, s226)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound226')).
% 8.81/6.44 tff(18155,plain,
% 8.81/6.44 (succ(s225, s226)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 8.81/6.44 tff(18156,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18157,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18158,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18157, 18156])).
% 8.81/6.44 tff(18159,plain,
% 8.81/6.44 (trans(s225, s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18158, 18155, 32])).
% 8.81/6.44 tff(18160,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s225, s226)) | node18(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s225, s226)) | node18(s225, s226))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18161,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s225, s226)) | node18(s225, s226))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18162,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s225, s226)) | node18(s225, s226)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18161, 18160])).
% 8.81/6.44 tff(18163,plain,
% 8.81/6.44 (node18(s225, s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18162, 125, 18159])).
% 8.81/6.44 tff(18164,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18165,plain,
% 8.81/6.44 (((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1)) <=> (node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18166,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)))),
% 8.81/6.44 inference(monotonicity,[status(thm)],[18165])).
% 8.81/6.44 tff(18167,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 8.81/6.44 inference(transitivity,[status(thm)],[18166, 18164])).
% 8.81/6.44 tff(18168,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18169,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18168, 18167])).
% 8.81/6.44 tff(18170,plain,
% 8.81/6.44 (node15(s225) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18169, 992, 18163])).
% 8.81/6.44 tff(18171,plain,
% 8.81/6.44 (m_main_v_turn(s226, c_1)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18170, 18152, 18144, 18108])).
% 8.81/6.44 tff(18172,plain,
% 8.81/6.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18173,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18174,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18173, 18172])).
% 8.81/6.44 tff(18175,plain,
% 8.81/6.44 (~m_main_v_turn(s226, c_2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18174, 156, 18171])).
% 8.81/6.44 tff(18176,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s226, c_2) | (~node12(s226)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s226, c_2) | (~node12(s226)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18177,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s226, c_2) | (~node12(s226)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18178,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s226, c_2) | (~node12(s226))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18177, 18176])).
% 8.81/6.44 tff(18179,plain,
% 8.81/6.44 (~node12(s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18178, 184, 18175])).
% 8.81/6.44 tff(18180,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s225, s226)) | node14(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s225, s226)) | node14(s225, s226))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18181,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s225, s226)) | node14(s225, s226))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18182,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s225, s226)) | node14(s225, s226)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 8.81/6.44 tff(18183,plain,
% 8.81/6.44 (node14(s225, s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18182, 46, 18159])).
% 8.81/6.44 tff(18184,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18185,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18186,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 8.81/6.44 tff(18187,plain,
% 8.81/6.44 ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state2(s226, c_t2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18186, 922, 18183])).
% 8.81/6.44 tff(18188,plain,
% 8.81/6.44 (m_main_v_state2(s226, c_t2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18187, 18108, 18144])).
% 8.81/6.44 tff(18189,plain,
% 8.81/6.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18190,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18191,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 8.81/6.44 tff(18192,plain,
% 8.81/6.44 (~m_main_v_state2(s226, c_n2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18191, 77, 18188])).
% 8.81/6.44 tff(18193,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s226, c_n2) | (~node8(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s226, c_n2) | (~node8(s226)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18194,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s226, c_n2) | (~node8(s226)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18195,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s226, c_n2) | (~node8(s226))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18194, 18193])).
% 8.81/6.44 tff(18196,plain,
% 8.81/6.44 (~node8(s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18195, 271, 18192])).
% 8.81/6.44 tff(18197,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s226, c_n2) | (~node9(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s226, c_n2) | (~node9(s226)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18198,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s226, c_n2) | (~node9(s226)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18199,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s226, c_n2) | (~node9(s226))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18198, 18197])).
% 8.81/6.44 tff(18200,plain,
% 8.81/6.44 (~node9(s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18199, 88, 18192])).
% 8.81/6.44 tff(18201,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s226, c_n2) | (~node10(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s226, c_n2) | (~node10(s226)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18202,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s226, c_n2) | (~node10(s226)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18203,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s226, c_n2) | (~node10(s226))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18202, 18201])).
% 8.81/6.44 tff(18204,plain,
% 8.81/6.44 (~node10(s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18203, 249, 18192])).
% 8.81/6.44 tff(18205,plain,
% 8.81/6.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18206,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18207,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 8.81/6.44 tff(18208,plain,
% 8.81/6.44 (~m_main_v_state2(s226, c_c2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18207, 260, 18188])).
% 8.81/6.44 tff(18209,plain,
% 8.81/6.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18210,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18211,plain,
% 8.81/6.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 8.81/6.44 tff(18212,plain,
% 8.81/6.44 (~m_main_v_state2(s225, c_c2)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18211, 697, 18144])).
% 8.81/6.44 tff(18213,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s225, c_c2) | (~node3(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s225, c_c2) | (~node3(s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18214,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s225, c_c2) | (~node3(s225)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18215,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s225, c_c2) | (~node3(s225))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 8.81/6.44 tff(18216,plain,
% 8.81/6.44 (~node3(s225)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18215, 399, 18212])).
% 8.81/6.44 tff(18217,plain,
% 8.81/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18218,plain,
% 8.81/6.44 (((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1))) <=> (m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18219,plain,
% 8.81/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225))))),
% 8.81/6.44 inference(monotonicity,[status(thm)],[18218])).
% 8.81/6.44 tff(18220,plain,
% 8.81/6.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 8.81/6.44 inference(transitivity,[status(thm)],[18219, 18217])).
% 8.81/6.44 tff(18221,plain,
% 8.81/6.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18222,plain,
% 8.81/6.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 8.81/6.44 tff(18223,plain,
% 8.81/6.44 (~m_main_v_state1(s225, c_n1)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18222, 835, 18016, 18101])).
% 8.81/6.44 tff(18224,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s225, c_n1) | (~node2(s225)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s225, c_n1) | (~node2(s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18225,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s225, c_n1) | (~node2(s225)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18226,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s225, c_n1) | (~node2(s225))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18225, 18224])).
% 8.81/6.44 tff(18227,plain,
% 8.81/6.44 (~node2(s225)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18226, 787, 18223])).
% 8.81/6.44 tff(18228,plain,
% 8.81/6.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s225, c_t2) | (~node1(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s225, c_t2) | (~node1(s225)))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18229,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s225, c_t2) | (~node1(s225)))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18230,plain,
% 8.81/6.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s225, c_t2) | (~node1(s225))),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18229, 18228])).
% 8.81/6.44 tff(18231,plain,
% 8.81/6.44 (~node1(s225)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18230, 195, 18148])).
% 8.81/6.44 tff(18232,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s225, s226)) | node7(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s225, s226)) | node7(s225, s226))),
% 8.81/6.44 inference(rewrite,[status(thm)],[])).
% 8.81/6.44 tff(18233,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s225, s226)) | node7(s225, s226))),
% 8.81/6.44 inference(quant_inst,[status(thm)],[])).
% 8.81/6.44 tff(18234,plain,
% 8.81/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s225, s226)) | node7(s225, s226)),
% 8.81/6.44 inference(modus_ponens,[status(thm)],[18233, 18232])).
% 8.81/6.44 tff(18235,plain,
% 8.81/6.44 (node7(s225, s226)),
% 8.81/6.44 inference(unit_resolution,[status(thm)],[18234, 206, 18159])).
% 8.81/6.44 tff(18236,plain,
% 8.81/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18237,plain,
% 8.81/6.45 (((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1)) <=> ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18238,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226))))),
% 8.81/6.45 inference(monotonicity,[status(thm)],[18237])).
% 8.81/6.45 tff(18239,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 8.81/6.45 inference(transitivity,[status(thm)],[18238, 18236])).
% 8.81/6.45 tff(18240,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18241,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18240, 18239])).
% 8.81/6.45 tff(18242,plain,
% 8.81/6.45 ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18241, 892, 18235])).
% 8.81/6.45 tff(18243,plain,
% 8.81/6.45 (m_main_v_state1(s226, c_c1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18242, 18231, 18144, 18108, 18227, 18216])).
% 8.81/6.45 tff(18244,plain,
% 8.81/6.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18245,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18246,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 8.81/6.45 tff(18247,plain,
% 8.81/6.45 (~m_main_v_state1(s226, c_n1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18246, 454, 18243])).
% 8.81/6.45 tff(18248,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s226, c_n1) | (~node11(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s226, c_n1) | (~node11(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18249,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s226, c_n1) | (~node11(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18250,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s226, c_n1) | (~node11(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 8.81/6.45 tff(18251,plain,
% 8.81/6.45 (~node11(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18250, 238, 18247])).
% 8.81/6.45 tff(18252,plain,
% 8.81/6.45 (succ(s226, s227) <=> succ(s226, s227)),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18253,axiom,(succ(s226, s227)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound227')).
% 8.81/6.45 tff(18254,plain,
% 8.81/6.45 (succ(s226, s227)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 8.81/6.45 tff(18255,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18256,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18257,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 8.81/6.45 tff(18258,plain,
% 8.81/6.45 (trans(s226, s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18257, 18254, 32])).
% 8.81/6.45 tff(18259,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s226, s227)) | node14(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s226, s227)) | node14(s226, s227))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18260,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s226, s227)) | node14(s226, s227))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18261,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s226, s227)) | node14(s226, s227)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18260, 18259])).
% 8.81/6.45 tff(18262,plain,
% 8.81/6.45 (node14(s226, s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18261, 46, 18258])).
% 8.81/6.45 tff(18263,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18264,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18265,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 8.81/6.45 tff(18266,plain,
% 8.81/6.45 (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18265, 296, 18262])).
% 8.81/6.45 tff(18267,plain,
% 8.81/6.45 (node13(s226, s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18266, 18251, 18208, 18204, 18200, 18196, 18179])).
% 8.81/6.45 tff(18268,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18269,plain,
% 8.81/6.45 (((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2))) <=> (m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18270,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227))))),
% 8.81/6.45 inference(monotonicity,[status(thm)],[18269])).
% 8.81/6.45 tff(18271,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 8.81/6.45 inference(transitivity,[status(thm)],[18270, 18268])).
% 8.81/6.45 tff(18272,plain,
% 8.81/6.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18273,plain,
% 8.81/6.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 8.81/6.45 tff(18274,plain,
% 8.81/6.45 (~m_main_v_state2(s227, c_n2)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18273, 311, 18192, 18267])).
% 8.81/6.45 tff(18275,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s227, c_n2) | (~node9(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s227, c_n2) | (~node9(s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18276,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s227, c_n2) | (~node9(s227)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18277,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s227, c_n2) | (~node9(s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 8.81/6.45 tff(18278,plain,
% 8.81/6.45 (~node9(s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18277, 88, 18274])).
% 8.81/6.45 tff(18279,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s227, c_n2) | (~node10(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s227, c_n2) | (~node10(s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18280,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s227, c_n2) | (~node10(s227)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18281,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s227, c_n2) | (~node10(s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 8.81/6.45 tff(18282,plain,
% 8.81/6.45 (~node10(s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18281, 249, 18274])).
% 8.81/6.45 tff(18283,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18284,plain,
% 8.81/6.45 (((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2)) <=> ((~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18285,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227))))),
% 8.81/6.45 inference(monotonicity,[status(thm)],[18284])).
% 8.81/6.45 tff(18286,plain,
% 8.81/6.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 8.81/6.45 inference(transitivity,[status(thm)],[18285, 18283])).
% 8.81/6.45 tff(18287,plain,
% 8.81/6.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18288,plain,
% 8.81/6.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 8.81/6.45 tff(18289,plain,
% 8.81/6.45 (m_main_v_state2(s227, c_t2)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18288, 518, 18188, 18267])).
% 8.81/6.45 tff(18290,plain,
% 8.81/6.45 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18291,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18292,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18291, 18290])).
% 8.81/6.45 tff(18293,plain,
% 8.81/6.45 (~m_main_v_state1(s226, c_t1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18292, 539, 18243])).
% 8.81/6.45 tff(18294,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s226, c_t1) | (~node5(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s226, c_t1) | (~node5(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18295,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s226, c_t1) | (~node5(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18296,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s226, c_t1) | (~node5(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18295, 18294])).
% 8.81/6.45 tff(18297,plain,
% 8.81/6.45 (~node5(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18296, 550, 18293])).
% 8.81/6.45 tff(18298,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s226, c_n2) | (~node4(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s226, c_n2) | (~node4(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18299,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s226, c_n2) | (~node4(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18300,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s226, c_n2) | (~node4(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 8.81/6.45 tff(18301,plain,
% 8.81/6.45 (~node4(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18300, 388, 18192])).
% 8.81/6.45 tff(18302,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s226, c_c2) | (~node3(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s226, c_c2) | (~node3(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18303,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s226, c_c2) | (~node3(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18304,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s226, c_c2) | (~node3(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18303, 18302])).
% 8.81/6.45 tff(18305,plain,
% 8.81/6.45 (~node3(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18304, 399, 18208])).
% 8.81/6.45 tff(18306,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s226, c_n2) | (~node2(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s226, c_n2) | (~node2(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18307,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s226, c_n2) | (~node2(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18308,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s226, c_n2) | (~node2(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 8.81/6.45 tff(18309,plain,
% 8.81/6.45 (~node2(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18308, 410, 18192])).
% 8.81/6.45 tff(18310,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s226, c_n1) | (~node1(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s226, c_n1) | (~node1(s226)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18311,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s226, c_n1) | (~node1(s226)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18312,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s226, c_n1) | (~node1(s226))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18311, 18310])).
% 8.81/6.45 tff(18313,plain,
% 8.81/6.45 (~node1(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18312, 421, 18247])).
% 8.81/6.45 tff(18314,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s226, s227)) | node7(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s226, s227)) | node7(s226, s227))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18315,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s226, s227)) | node7(s226, s227))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18316,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s226, s227)) | node7(s226, s227)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18315, 18314])).
% 8.81/6.45 tff(18317,plain,
% 8.81/6.45 (node7(s226, s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18316, 206, 18258])).
% 8.81/6.45 tff(18318,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18319,plain,
% 8.81/6.45 (((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1)) <=> (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18320,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227))))),
% 8.81/6.45 inference(monotonicity,[status(thm)],[18319])).
% 8.81/6.45 tff(18321,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 8.81/6.45 inference(transitivity,[status(thm)],[18320, 18318])).
% 8.81/6.45 tff(18322,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18323,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18322, 18321])).
% 8.81/6.45 tff(18324,plain,
% 8.81/6.45 (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18323, 584, 18317])).
% 8.81/6.45 tff(18325,plain,
% 8.81/6.45 (m_main_v_state1(s227, c_n1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18324, 18313, 18243, 18309, 18305, 18301, 18297])).
% 8.81/6.45 tff(18326,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s227, c_n2) | (~node8(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s227, c_n2) | (~node8(s227)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18327,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s227, c_n2) | (~node8(s227)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18328,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s227, c_n2) | (~node8(s227))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 8.81/6.45 tff(18329,plain,
% 8.81/6.45 (~node8(s227)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18328, 271, 18274])).
% 8.81/6.45 tff(18330,plain,
% 8.81/6.45 (succ(s227, s228) <=> succ(s227, s228)),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18331,axiom,(succ(s227, s228)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound228')).
% 8.81/6.45 tff(18332,plain,
% 8.81/6.45 (succ(s227, s228)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18331, 18330])).
% 8.81/6.45 tff(18333,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18334,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18335,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 8.81/6.45 tff(18336,plain,
% 8.81/6.45 (trans(s227, s228)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18335, 18332, 32])).
% 8.81/6.45 tff(18337,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s227, s228)) | node14(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s227, s228)) | node14(s227, s228))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18338,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s227, s228)) | node14(s227, s228))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18339,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s227, s228)) | node14(s227, s228)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18338, 18337])).
% 8.81/6.45 tff(18340,plain,
% 8.81/6.45 (node14(s227, s228)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18339, 46, 18336])).
% 8.81/6.45 tff(18341,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18342,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18343,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 8.81/6.45 tff(18344,plain,
% 8.81/6.45 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | m_main_v_state2(s228, c_c2)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18343, 617, 18340])).
% 8.81/6.45 tff(18345,plain,
% 8.81/6.45 (m_main_v_state2(s228, c_c2)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18344, 18329, 18325, 18289, 18282, 18278])).
% 8.81/6.45 tff(18346,plain,
% 8.81/6.45 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18347,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18348,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18347, 18346])).
% 8.81/6.45 tff(18349,plain,
% 8.81/6.45 (~m_main_v_state2(s228, c_t2)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18348, 260, 18345])).
% 8.81/6.45 tff(18350,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s228, c_t2) | (~node12(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s228, c_t2) | (~node12(s228)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18351,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s228, c_t2) | (~node12(s228)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18352,plain,
% 8.81/6.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s228, c_t2) | (~node12(s228))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 8.81/6.45 tff(18353,plain,
% 8.81/6.45 (~node12(s228)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18352, 633, 18349])).
% 8.81/6.45 tff(18354,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s227, s228)) | node7(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s227, s228)) | node7(s227, s228))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18355,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s227, s228)) | node7(s227, s228))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18356,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s227, s228)) | node7(s227, s228)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18355, 18354])).
% 8.81/6.45 tff(18357,plain,
% 8.81/6.45 (node7(s227, s228)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18356, 206, 18336])).
% 8.81/6.45 tff(18358,plain,
% 8.81/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18359,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18360,plain,
% 8.81/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1)),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 8.81/6.45 tff(18361,plain,
% 8.81/6.45 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_state1(s228, c_t1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18360, 651, 18357])).
% 8.81/6.45 tff(18362,plain,
% 8.81/6.45 (m_main_v_state1(s228, c_t1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18361, 18289, 18325])).
% 8.81/6.45 tff(18363,plain,
% 8.81/6.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))),
% 8.81/6.45 inference(rewrite,[status(thm)],[])).
% 8.81/6.45 tff(18364,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))),
% 8.81/6.45 inference(quant_inst,[status(thm)],[])).
% 8.81/6.45 tff(18365,plain,
% 8.81/6.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1))),
% 8.81/6.45 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 8.81/6.45 tff(18366,plain,
% 8.81/6.45 (~m_main_v_state1(s228, c_n1)),
% 8.81/6.45 inference(unit_resolution,[status(thm)],[18365, 10, 18362])).
% 8.81/6.45 tff(18367,plain,
% 8.81/6.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s228, c_n1) | (~node11(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s228, c_n1) | (~node11(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18368,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s228, c_n1) | (~node11(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18369,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s228, c_n1) | (~node11(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 8.81/6.46 tff(18370,plain,
% 8.81/6.46 (~node11(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18369, 238, 18366])).
% 8.81/6.46 tff(18371,plain,
% 8.81/6.46 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18372,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18373,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 8.81/6.46 tff(18374,plain,
% 8.81/6.46 (~m_main_v_state1(s228, c_c1)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18373, 539, 18362])).
% 8.81/6.46 tff(18375,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s228, c_c1) | (~node10(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s228, c_c1) | (~node10(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18376,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s228, c_c1) | (~node10(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18377,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s228, c_c1) | (~node10(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 8.81/6.46 tff(18378,plain,
% 8.81/6.46 (~node10(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18377, 675, 18374])).
% 8.81/6.46 tff(18379,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s228, c_n1) | (~node9(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s228, c_n1) | (~node9(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18380,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s228, c_n1) | (~node9(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18381,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s228, c_n1) | (~node9(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18380, 18379])).
% 8.81/6.46 tff(18382,plain,
% 8.81/6.46 (~node9(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18381, 686, 18366])).
% 8.81/6.46 tff(18383,plain,
% 8.81/6.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18384,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18385,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18384, 18383])).
% 8.81/6.46 tff(18386,plain,
% 8.81/6.46 (~m_main_v_state2(s228, c_n2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18385, 697, 18345])).
% 8.81/6.46 tff(18387,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s228, c_n2) | (~node8(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s228, c_n2) | (~node8(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18388,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s228, c_n2) | (~node8(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18389,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s228, c_n2) | (~node8(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 8.81/6.46 tff(18390,plain,
% 8.81/6.46 (~node8(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18389, 271, 18386])).
% 8.81/6.46 tff(18391,plain,
% 8.81/6.46 (succ(s228, s229) <=> succ(s228, s229)),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18392,axiom,(succ(s228, s229)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound229')).
% 8.81/6.46 tff(18393,plain,
% 8.81/6.46 (succ(s228, s229)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 8.81/6.46 tff(18394,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18395,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18396,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 8.81/6.46 tff(18397,plain,
% 8.81/6.46 (trans(s228, s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18396, 18393, 32])).
% 8.81/6.46 tff(18398,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s228, s229)) | node14(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s228, s229)) | node14(s228, s229))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18399,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s228, s229)) | node14(s228, s229))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18400,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s228, s229)) | node14(s228, s229)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 8.81/6.46 tff(18401,plain,
% 8.81/6.46 (node14(s228, s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18400, 46, 18397])).
% 8.81/6.46 tff(18402,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18403,plain,
% 8.81/6.46 (((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2)) <=> (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18404,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2))))),
% 8.81/6.46 inference(monotonicity,[status(thm)],[18403])).
% 8.81/6.46 tff(18405,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 8.81/6.46 inference(transitivity,[status(thm)],[18404, 18402])).
% 8.81/6.46 tff(18406,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18407,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 8.81/6.46 tff(18408,plain,
% 8.81/6.46 (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~m_main_v_state2(s228, c_c2))),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18407, 726, 18401])).
% 8.81/6.46 tff(18409,plain,
% 8.81/6.46 (m_main_v_state2(s229, c_n2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18408, 18390, 18345, 18382, 18378, 18370, 18353])).
% 8.81/6.46 tff(18410,plain,
% 8.81/6.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18411,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18412,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18411, 18410])).
% 8.81/6.46 tff(18413,plain,
% 8.81/6.46 (~m_main_v_state2(s229, c_c2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18412, 697, 18409])).
% 8.81/6.46 tff(18414,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s229, c_c2) | (~node3(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s229, c_c2) | (~node3(s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18415,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s229, c_c2) | (~node3(s229)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18416,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s229, c_c2) | (~node3(s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18415, 18414])).
% 8.81/6.46 tff(18417,plain,
% 8.81/6.46 (~node3(s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18416, 399, 18413])).
% 8.81/6.46 tff(18418,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s228, c_n1) | (~node1(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s228, c_n1) | (~node1(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18419,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s228, c_n1) | (~node1(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18420,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s228, c_n1) | (~node1(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 8.81/6.46 tff(18421,plain,
% 8.81/6.46 (~node1(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18420, 421, 18366])).
% 8.81/6.46 tff(18422,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s227, s228)) | node18(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s227, s228)) | node18(s227, s228))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18423,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s227, s228)) | node18(s227, s228))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18424,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s227, s228)) | node18(s227, s228)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18423, 18422])).
% 8.81/6.46 tff(18425,plain,
% 8.81/6.46 (node18(s227, s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18424, 125, 18336])).
% 8.81/6.46 tff(18426,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18427,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18428,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18427, 18426])).
% 8.81/6.46 tff(18429,plain,
% 8.81/6.46 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_turn(s228, c_2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18428, 760, 18425])).
% 8.81/6.46 tff(18430,plain,
% 8.81/6.46 (m_main_v_turn(s228, c_2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18429, 18289, 18325])).
% 8.81/6.46 tff(18431,plain,
% 8.81/6.46 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18432,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18433,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 8.81/6.46 tff(18434,plain,
% 8.81/6.46 (~m_main_v_turn(s228, c_1)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18433, 156, 18430])).
% 8.81/6.46 tff(18435,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s228, c_1) | (~node5(s228)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s228, c_1) | (~node5(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18436,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s228, c_1) | (~node5(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18437,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s228, c_1) | (~node5(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 8.81/6.46 tff(18438,plain,
% 8.81/6.46 (~node5(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18437, 776, 18434])).
% 8.81/6.46 tff(18439,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s228, c_n1) | (~node2(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s228, c_n1) | (~node2(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18440,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s228, c_n1) | (~node2(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18441,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s228, c_n1) | (~node2(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 8.81/6.46 tff(18442,plain,
% 8.81/6.46 (~node2(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18441, 787, 18366])).
% 8.81/6.46 tff(18443,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s228, c_n1) | (~node3(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s228, c_n1) | (~node3(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18444,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s228, c_n1) | (~node3(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18445,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s228, c_n1) | (~node3(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 8.81/6.46 tff(18446,plain,
% 8.81/6.46 (~node3(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18445, 798, 18366])).
% 8.81/6.46 tff(18447,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s228, c_n2) | (~node4(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s228, c_n2) | (~node4(s228)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18448,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s228, c_n2) | (~node4(s228)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18449,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s228, c_n2) | (~node4(s228))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 8.81/6.46 tff(18450,plain,
% 8.81/6.46 (~node4(s228)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18449, 388, 18386])).
% 8.81/6.46 tff(18451,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s228, s229)) | node7(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s228, s229)) | node7(s228, s229))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18452,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s228, s229)) | node7(s228, s229))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18453,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s228, s229)) | node7(s228, s229)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18452, 18451])).
% 8.81/6.46 tff(18454,plain,
% 8.81/6.46 (node7(s228, s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18453, 206, 18397])).
% 8.81/6.46 tff(18455,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18456,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18457,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 8.81/6.46 tff(18458,plain,
% 8.81/6.46 (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18457, 820, 18454])).
% 8.81/6.46 tff(18459,plain,
% 8.81/6.46 (node6(s228, s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18458, 18450, 18374, 18446, 18442, 18438, 18421])).
% 8.81/6.46 tff(18460,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18461,plain,
% 8.81/6.46 (((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1))) <=> (m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18462,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229))))),
% 8.81/6.46 inference(monotonicity,[status(thm)],[18461])).
% 8.81/6.46 tff(18463,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 8.81/6.46 inference(transitivity,[status(thm)],[18462, 18460])).
% 8.81/6.46 tff(18464,plain,
% 8.81/6.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18465,plain,
% 8.81/6.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18464, 18463])).
% 8.81/6.46 tff(18466,plain,
% 8.81/6.46 (~m_main_v_state1(s229, c_n1)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18465, 835, 18366, 18459])).
% 8.81/6.46 tff(18467,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s229, c_n1) | (~node2(s229)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s229, c_n1) | (~node2(s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18468,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s229, c_n1) | (~node2(s229)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18469,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s229, c_n1) | (~node2(s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 8.81/6.46 tff(18470,plain,
% 8.81/6.46 (~node2(s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18469, 787, 18466])).
% 8.81/6.46 tff(18471,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18472,plain,
% 8.81/6.46 (((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1)) <=> ((~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18473,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229))))),
% 8.81/6.46 inference(monotonicity,[status(thm)],[18472])).
% 8.81/6.46 tff(18474,plain,
% 8.81/6.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 8.81/6.46 inference(transitivity,[status(thm)],[18473, 18471])).
% 8.81/6.46 tff(18475,plain,
% 8.81/6.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18476,plain,
% 8.81/6.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 8.81/6.46 tff(18477,plain,
% 8.81/6.46 (m_main_v_state1(s229, c_t1)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18476, 856, 18362, 18459])).
% 8.81/6.46 tff(18478,plain,
% 8.81/6.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18479,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18480,plain,
% 8.81/6.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18479, 18478])).
% 8.81/6.46 tff(18481,plain,
% 8.81/6.46 (~m_main_v_state2(s229, c_t2)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18480, 77, 18409])).
% 8.81/6.46 tff(18482,plain,
% 8.81/6.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s229, c_t2) | (~node1(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s229, c_t2) | (~node1(s229)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18483,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s229, c_t2) | (~node1(s229)))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18484,plain,
% 8.81/6.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s229, c_t2) | (~node1(s229))),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18483, 18482])).
% 8.81/6.46 tff(18485,plain,
% 8.81/6.46 (~node1(s229)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18484, 195, 18481])).
% 8.81/6.46 tff(18486,plain,
% 8.81/6.46 (succ(s229, s230) <=> succ(s229, s230)),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18487,axiom,(succ(s229, s230)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound230')).
% 8.81/6.46 tff(18488,plain,
% 8.81/6.46 (succ(s229, s230)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18487, 18486])).
% 8.81/6.46 tff(18489,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18490,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18491,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 8.81/6.46 tff(18492,plain,
% 8.81/6.46 (trans(s229, s230)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18491, 18488, 32])).
% 8.81/6.46 tff(18493,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s229, s230)) | node7(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s229, s230)) | node7(s229, s230))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18494,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s229, s230)) | node7(s229, s230))),
% 8.81/6.46 inference(quant_inst,[status(thm)],[])).
% 8.81/6.46 tff(18495,plain,
% 8.81/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s229, s230)) | node7(s229, s230)),
% 8.81/6.46 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 8.81/6.46 tff(18496,plain,
% 8.81/6.46 (node7(s229, s230)),
% 8.81/6.46 inference(unit_resolution,[status(thm)],[18495, 206, 18492])).
% 8.81/6.46 tff(18497,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18498,plain,
% 8.81/6.46 (((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1)) <=> ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 8.81/6.46 inference(rewrite,[status(thm)],[])).
% 8.81/6.46 tff(18499,plain,
% 8.81/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230))))),
% 8.81/6.47 inference(monotonicity,[status(thm)],[18498])).
% 8.81/6.47 tff(18500,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 8.81/6.47 inference(transitivity,[status(thm)],[18499, 18497])).
% 8.81/6.47 tff(18501,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18502,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 8.81/6.47 tff(18503,plain,
% 8.81/6.47 ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18502, 892, 18496])).
% 8.81/6.47 tff(18504,plain,
% 8.81/6.47 (m_main_v_state1(s230, c_c1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18503, 18485, 18409, 18477, 18470, 18417])).
% 8.81/6.47 tff(18505,plain,
% 8.81/6.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18506,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18507,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 8.81/6.47 tff(18508,plain,
% 8.81/6.47 (~m_main_v_state1(s230, c_t1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18507, 539, 18504])).
% 8.81/6.47 tff(18509,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s230, c_t1) | (~node5(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s230, c_t1) | (~node5(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18510,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s230, c_t1) | (~node5(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18511,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s230, c_t1) | (~node5(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18510, 18509])).
% 8.81/6.47 tff(18512,plain,
% 8.81/6.47 (~node5(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18511, 550, 18508])).
% 8.81/6.47 tff(18513,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s229, s230)) | node14(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s229, s230)) | node14(s229, s230))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18514,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s229, s230)) | node14(s229, s230))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18515,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s229, s230)) | node14(s229, s230)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 8.81/6.47 tff(18516,plain,
% 8.81/6.47 (node14(s229, s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18515, 46, 18492])).
% 8.81/6.47 tff(18517,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18518,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18519,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18518, 18517])).
% 8.81/6.47 tff(18520,plain,
% 8.81/6.47 ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state2(s230, c_t2)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18519, 922, 18516])).
% 8.81/6.47 tff(18521,plain,
% 8.81/6.47 (m_main_v_state2(s230, c_t2)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18520, 18477, 18409])).
% 8.81/6.47 tff(18522,plain,
% 8.81/6.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18523,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18524,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18523, 18522])).
% 8.81/6.47 tff(18525,plain,
% 8.81/6.47 (~m_main_v_state2(s230, c_n2)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18524, 77, 18521])).
% 8.81/6.47 tff(18526,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s230, c_n2) | (~node4(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s230, c_n2) | (~node4(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18527,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s230, c_n2) | (~node4(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18528,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s230, c_n2) | (~node4(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18527, 18526])).
% 8.81/6.47 tff(18529,plain,
% 8.81/6.47 (~node4(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18528, 388, 18525])).
% 8.81/6.47 tff(18530,plain,
% 8.81/6.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18531,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18532,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 8.81/6.47 tff(18533,plain,
% 8.81/6.47 (~m_main_v_state2(s230, c_c2)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18532, 260, 18521])).
% 8.81/6.47 tff(18534,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s230, c_c2) | (~node3(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s230, c_c2) | (~node3(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18535,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s230, c_c2) | (~node3(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18536,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s230, c_c2) | (~node3(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 8.81/6.47 tff(18537,plain,
% 8.81/6.47 (~node3(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18536, 399, 18533])).
% 8.81/6.47 tff(18538,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s230, c_n2) | (~node2(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s230, c_n2) | (~node2(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18539,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s230, c_n2) | (~node2(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18540,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s230, c_n2) | (~node2(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 8.81/6.47 tff(18541,plain,
% 8.81/6.47 (~node2(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18540, 410, 18525])).
% 8.81/6.47 tff(18542,plain,
% 8.81/6.47 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18543,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18544,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 8.81/6.47 tff(18545,plain,
% 8.81/6.47 (~m_main_v_state1(s230, c_n1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18544, 454, 18504])).
% 8.81/6.47 tff(18546,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s230, c_n1) | (~node1(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s230, c_n1) | (~node1(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18547,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s230, c_n1) | (~node1(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18548,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s230, c_n1) | (~node1(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 8.81/6.47 tff(18549,plain,
% 8.81/6.47 (~node1(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18548, 421, 18545])).
% 8.81/6.47 tff(18550,plain,
% 8.81/6.47 (succ(s230, s231) <=> succ(s230, s231)),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18551,axiom,(succ(s230, s231)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound231')).
% 8.81/6.47 tff(18552,plain,
% 8.81/6.47 (succ(s230, s231)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 8.81/6.47 tff(18553,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18554,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18555,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18554, 18553])).
% 8.81/6.47 tff(18556,plain,
% 8.81/6.47 (trans(s230, s231)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18555, 18552, 32])).
% 8.81/6.47 tff(18557,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s230, s231)) | node7(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s230, s231)) | node7(s230, s231))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18558,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s230, s231)) | node7(s230, s231))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18559,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s230, s231)) | node7(s230, s231)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 8.81/6.47 tff(18560,plain,
% 8.81/6.47 (node7(s230, s231)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18559, 206, 18556])).
% 8.81/6.47 tff(18561,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18562,plain,
% 8.81/6.47 (((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1)) <=> (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18563,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231))))),
% 8.81/6.47 inference(monotonicity,[status(thm)],[18562])).
% 8.81/6.47 tff(18564,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 8.81/6.47 inference(transitivity,[status(thm)],[18563, 18561])).
% 8.81/6.47 tff(18565,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18566,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 8.81/6.47 tff(18567,plain,
% 8.81/6.47 (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18566, 584, 18560])).
% 8.81/6.47 tff(18568,plain,
% 8.81/6.47 (m_main_v_state1(s231, c_n1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18567, 18549, 18504, 18541, 18537, 18529, 18512])).
% 8.81/6.47 tff(18569,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s229, c_t2) | (~node15(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s229, c_t2) | (~node15(s229)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18570,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s229, c_t2) | (~node15(s229)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18571,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s229, c_t2) | (~node15(s229))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 8.81/6.47 tff(18572,plain,
% 8.81/6.47 (~node15(s229)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18571, 103, 18481])).
% 8.81/6.47 tff(18573,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s229, s230)) | node18(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s229, s230)) | node18(s229, s230))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18574,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s229, s230)) | node18(s229, s230))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18575,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s229, s230)) | node18(s229, s230)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 8.81/6.47 tff(18576,plain,
% 8.81/6.47 (node18(s229, s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18575, 125, 18492])).
% 8.81/6.47 tff(18577,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18578,plain,
% 8.81/6.47 (((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1)) <=> (node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18579,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)))),
% 8.81/6.47 inference(monotonicity,[status(thm)],[18578])).
% 8.81/6.47 tff(18580,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 8.81/6.47 inference(transitivity,[status(thm)],[18579, 18577])).
% 8.81/6.47 tff(18581,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18582,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 8.81/6.47 tff(18583,plain,
% 8.81/6.47 (node15(s229) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18582, 992, 18576])).
% 8.81/6.47 tff(18584,plain,
% 8.81/6.47 (m_main_v_turn(s230, c_1)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18583, 18572, 18409, 18477])).
% 8.81/6.47 tff(18585,plain,
% 8.81/6.47 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18586,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18587,plain,
% 8.81/6.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18586, 18585])).
% 8.81/6.47 tff(18588,plain,
% 8.81/6.47 (~m_main_v_turn(s230, c_2)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18587, 156, 18584])).
% 8.81/6.47 tff(18589,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s230, c_2) | (~node12(s230)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s230, c_2) | (~node12(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18590,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s230, c_2) | (~node12(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18591,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s230, c_2) | (~node12(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 8.81/6.47 tff(18592,plain,
% 8.81/6.47 (~node12(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18591, 184, 18588])).
% 8.81/6.47 tff(18593,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s230, c_n2) | (~node8(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s230, c_n2) | (~node8(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18594,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s230, c_n2) | (~node8(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18595,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s230, c_n2) | (~node8(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 8.81/6.47 tff(18596,plain,
% 8.81/6.47 (~node8(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18595, 271, 18525])).
% 8.81/6.47 tff(18597,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s230, c_n2) | (~node9(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s230, c_n2) | (~node9(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18598,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s230, c_n2) | (~node9(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18599,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s230, c_n2) | (~node9(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18598, 18597])).
% 8.81/6.47 tff(18600,plain,
% 8.81/6.47 (~node9(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18599, 88, 18525])).
% 8.81/6.47 tff(18601,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s230, c_n2) | (~node10(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s230, c_n2) | (~node10(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18602,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s230, c_n2) | (~node10(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18603,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s230, c_n2) | (~node10(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18602, 18601])).
% 8.81/6.47 tff(18604,plain,
% 8.81/6.47 (~node10(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18603, 249, 18525])).
% 8.81/6.47 tff(18605,plain,
% 8.81/6.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s230, c_n1) | (~node11(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s230, c_n1) | (~node11(s230)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18606,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s230, c_n1) | (~node11(s230)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18607,plain,
% 8.81/6.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s230, c_n1) | (~node11(s230))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18606, 18605])).
% 8.81/6.47 tff(18608,plain,
% 8.81/6.47 (~node11(s230)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18607, 238, 18545])).
% 8.81/6.47 tff(18609,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s230, s231)) | node14(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s230, s231)) | node14(s230, s231))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18610,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s230, s231)) | node14(s230, s231))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18611,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s230, s231)) | node14(s230, s231)),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18610, 18609])).
% 8.81/6.47 tff(18612,plain,
% 8.81/6.47 (node14(s230, s231)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18611, 46, 18556])).
% 8.81/6.47 tff(18613,plain,
% 8.81/6.47 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18614,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))),
% 8.81/6.47 inference(quant_inst,[status(thm)],[])).
% 8.81/6.47 tff(18615,plain,
% 8.81/6.47 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231))),
% 8.81/6.47 inference(modus_ponens,[status(thm)],[18614, 18613])).
% 8.81/6.47 tff(18616,plain,
% 8.81/6.47 (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18615, 296, 18612])).
% 8.81/6.47 tff(18617,plain,
% 8.81/6.47 (node13(s230, s231)),
% 8.81/6.47 inference(unit_resolution,[status(thm)],[18616, 18608, 18533, 18604, 18600, 18596, 18592])).
% 8.81/6.47 tff(18618,plain,
% 8.81/6.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18619,plain,
% 8.81/6.47 (((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2)) <=> ((~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 8.81/6.47 inference(rewrite,[status(thm)],[])).
% 8.81/6.47 tff(18620,plain,
% 8.81/6.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231))))),
% 8.81/6.47 inference(monotonicity,[status(thm)],[18619])).
% 8.81/6.47 tff(18621,plain,
% 8.81/6.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 8.81/6.47 inference(transitivity,[status(thm)],[18620, 18618])).
% 8.81/6.47 tff(18622,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18623,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 8.81/6.48 tff(18624,plain,
% 8.81/6.48 (m_main_v_state2(s231, c_t2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18623, 518, 18521, 18617])).
% 8.81/6.48 tff(18625,plain,
% 8.81/6.48 (succ(s231, s232) <=> succ(s231, s232)),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18626,axiom,(succ(s231, s232)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound232')).
% 8.81/6.48 tff(18627,plain,
% 8.81/6.48 (succ(s231, s232)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18626, 18625])).
% 8.81/6.48 tff(18628,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18629,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18630,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18629, 18628])).
% 8.81/6.48 tff(18631,plain,
% 8.81/6.48 (trans(s231, s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18630, 18627, 32])).
% 8.81/6.48 tff(18632,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s231, s232)) | node7(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s231, s232)) | node7(s231, s232))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18633,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s231, s232)) | node7(s231, s232))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18634,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s231, s232)) | node7(s231, s232)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 8.81/6.48 tff(18635,plain,
% 8.81/6.48 (node7(s231, s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18634, 206, 18631])).
% 8.81/6.48 tff(18636,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18637,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18638,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 8.81/6.48 tff(18639,plain,
% 8.81/6.48 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_state1(s232, c_t1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18638, 651, 18635])).
% 8.81/6.48 tff(18640,plain,
% 8.81/6.48 (m_main_v_state1(s232, c_t1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18639, 18624, 18568])).
% 8.81/6.48 tff(18641,plain,
% 8.81/6.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18642,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18643,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 8.81/6.48 tff(18644,plain,
% 8.81/6.48 (~m_main_v_state1(s232, c_n1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18643, 10, 18640])).
% 8.81/6.48 tff(18645,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s232, c_n1) | (~node1(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s232, c_n1) | (~node1(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18646,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s232, c_n1) | (~node1(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18647,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s232, c_n1) | (~node1(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 8.81/6.48 tff(18648,plain,
% 8.81/6.48 (~node1(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18647, 421, 18644])).
% 8.81/6.48 tff(18649,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s231, s232)) | node18(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s231, s232)) | node18(s231, s232))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18650,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s231, s232)) | node18(s231, s232))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18651,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s231, s232)) | node18(s231, s232)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 8.81/6.48 tff(18652,plain,
% 8.81/6.48 (node18(s231, s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18651, 125, 18631])).
% 8.81/6.48 tff(18653,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18654,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18655,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18654, 18653])).
% 8.81/6.48 tff(18656,plain,
% 8.81/6.48 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_turn(s232, c_2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18655, 760, 18652])).
% 8.81/6.48 tff(18657,plain,
% 8.81/6.48 (m_main_v_turn(s232, c_2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18656, 18624, 18568])).
% 8.81/6.48 tff(18658,plain,
% 8.81/6.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18659,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18660,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18659, 18658])).
% 8.81/6.48 tff(18661,plain,
% 8.81/6.48 (~m_main_v_turn(s232, c_1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18660, 156, 18657])).
% 8.81/6.48 tff(18662,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s232, c_1) | (~node5(s232)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s232, c_1) | (~node5(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18663,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s232, c_1) | (~node5(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18664,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s232, c_1) | (~node5(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 8.81/6.48 tff(18665,plain,
% 8.81/6.48 (~node5(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18664, 776, 18661])).
% 8.81/6.48 tff(18666,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s232, c_n1) | (~node2(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s232, c_n1) | (~node2(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18667,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s232, c_n1) | (~node2(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18668,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s232, c_n1) | (~node2(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18667, 18666])).
% 8.81/6.48 tff(18669,plain,
% 8.81/6.48 (~node2(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18668, 787, 18644])).
% 8.81/6.48 tff(18670,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s232, c_n1) | (~node3(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s232, c_n1) | (~node3(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18671,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s232, c_n1) | (~node3(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18672,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s232, c_n1) | (~node3(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 8.81/6.48 tff(18673,plain,
% 8.81/6.48 (~node3(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18672, 798, 18644])).
% 8.81/6.48 tff(18674,plain,
% 8.81/6.48 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18675,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18676,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 8.81/6.48 tff(18677,plain,
% 8.81/6.48 (~m_main_v_state1(s232, c_c1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18676, 539, 18640])).
% 8.81/6.48 tff(18678,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18679,plain,
% 8.81/6.48 (((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2))) <=> (m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18680,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231))))),
% 8.81/6.48 inference(monotonicity,[status(thm)],[18679])).
% 8.81/6.48 tff(18681,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 8.81/6.48 inference(transitivity,[status(thm)],[18680, 18678])).
% 8.81/6.48 tff(18682,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18683,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18682, 18681])).
% 8.81/6.48 tff(18684,plain,
% 8.81/6.48 (~m_main_v_state2(s231, c_n2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18683, 311, 18525, 18617])).
% 8.81/6.48 tff(18685,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s231, c_n2) | (~node9(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s231, c_n2) | (~node9(s231)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18686,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s231, c_n2) | (~node9(s231)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18687,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s231, c_n2) | (~node9(s231))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18686, 18685])).
% 8.81/6.48 tff(18688,plain,
% 8.81/6.48 (~node9(s231)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18687, 88, 18684])).
% 8.81/6.48 tff(18689,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s231, c_n2) | (~node10(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s231, c_n2) | (~node10(s231)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18690,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s231, c_n2) | (~node10(s231)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18691,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s231, c_n2) | (~node10(s231))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 8.81/6.48 tff(18692,plain,
% 8.81/6.48 (~node10(s231)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18691, 249, 18684])).
% 8.81/6.48 tff(18693,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s231, c_n2) | (~node8(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s231, c_n2) | (~node8(s231)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18694,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s231, c_n2) | (~node8(s231)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18695,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s231, c_n2) | (~node8(s231))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18694, 18693])).
% 8.81/6.48 tff(18696,plain,
% 8.81/6.48 (~node8(s231)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18695, 271, 18684])).
% 8.81/6.48 tff(18697,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s231, s232)) | node14(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s231, s232)) | node14(s231, s232))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18698,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s231, s232)) | node14(s231, s232))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18699,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s231, s232)) | node14(s231, s232)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 8.81/6.48 tff(18700,plain,
% 8.81/6.48 (node14(s231, s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18699, 46, 18631])).
% 8.81/6.48 tff(18701,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18702,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18703,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18702, 18701])).
% 8.81/6.48 tff(18704,plain,
% 8.81/6.48 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | m_main_v_state2(s232, c_c2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18703, 617, 18700])).
% 8.81/6.48 tff(18705,plain,
% 8.81/6.48 (m_main_v_state2(s232, c_c2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18704, 18696, 18568, 18624, 18692, 18688])).
% 8.81/6.48 tff(18706,plain,
% 8.81/6.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18707,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18708,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 8.81/6.48 tff(18709,plain,
% 8.81/6.48 (~m_main_v_state2(s232, c_n2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18708, 697, 18705])).
% 8.81/6.48 tff(18710,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s232, c_n2) | (~node4(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s232, c_n2) | (~node4(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18711,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s232, c_n2) | (~node4(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18712,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s232, c_n2) | (~node4(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18711, 18710])).
% 8.81/6.48 tff(18713,plain,
% 8.81/6.48 (~node4(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18712, 388, 18709])).
% 8.81/6.48 tff(18714,plain,
% 8.81/6.48 (succ(s232, s233) <=> succ(s232, s233)),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18715,axiom,(succ(s232, s233)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound233')).
% 8.81/6.48 tff(18716,plain,
% 8.81/6.48 (succ(s232, s233)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 8.81/6.48 tff(18717,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18718,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18719,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 8.81/6.48 tff(18720,plain,
% 8.81/6.48 (trans(s232, s233)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18719, 18716, 32])).
% 8.81/6.48 tff(18721,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s232, s233)) | node7(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s232, s233)) | node7(s232, s233))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18722,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s232, s233)) | node7(s232, s233))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18723,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s232, s233)) | node7(s232, s233)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18722, 18721])).
% 8.81/6.48 tff(18724,plain,
% 8.81/6.48 (node7(s232, s233)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18723, 206, 18720])).
% 8.81/6.48 tff(18725,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18726,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18727,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18726, 18725])).
% 8.81/6.48 tff(18728,plain,
% 8.81/6.48 (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18727, 820, 18724])).
% 8.81/6.48 tff(18729,plain,
% 8.81/6.48 (node6(s232, s233)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18728, 18713, 18677, 18673, 18669, 18665, 18648])).
% 8.81/6.48 tff(18730,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18731,plain,
% 8.81/6.48 (((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1)) <=> ((~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18732,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233))))),
% 8.81/6.48 inference(monotonicity,[status(thm)],[18731])).
% 8.81/6.48 tff(18733,plain,
% 8.81/6.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 8.81/6.48 inference(transitivity,[status(thm)],[18732, 18730])).
% 8.81/6.48 tff(18734,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18735,plain,
% 8.81/6.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18734, 18733])).
% 8.81/6.48 tff(18736,plain,
% 8.81/6.48 (m_main_v_state1(s233, c_t1)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18735, 856, 18640, 18729])).
% 8.81/6.48 tff(18737,plain,
% 8.81/6.48 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18738,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18739,plain,
% 8.81/6.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 8.81/6.48 tff(18740,plain,
% 8.81/6.48 (~m_main_v_state2(s232, c_t2)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18739, 260, 18705])).
% 8.81/6.48 tff(18741,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s232, c_t2) | (~node12(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s232, c_t2) | (~node12(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18742,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s232, c_t2) | (~node12(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18743,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s232, c_t2) | (~node12(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 8.81/6.48 tff(18744,plain,
% 8.81/6.48 (~node12(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18743, 633, 18740])).
% 8.81/6.48 tff(18745,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s232, c_n1) | (~node11(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s232, c_n1) | (~node11(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18746,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s232, c_n1) | (~node11(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18747,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s232, c_n1) | (~node11(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18746, 18745])).
% 8.81/6.48 tff(18748,plain,
% 8.81/6.48 (~node11(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18747, 238, 18644])).
% 8.81/6.48 tff(18749,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s232, c_c1) | (~node10(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s232, c_c1) | (~node10(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18750,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s232, c_c1) | (~node10(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18751,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s232, c_c1) | (~node10(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 8.81/6.48 tff(18752,plain,
% 8.81/6.48 (~node10(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18751, 675, 18677])).
% 8.81/6.48 tff(18753,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s232, c_n1) | (~node9(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s232, c_n1) | (~node9(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18754,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s232, c_n1) | (~node9(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18755,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s232, c_n1) | (~node9(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18754, 18753])).
% 8.81/6.48 tff(18756,plain,
% 8.81/6.48 (~node9(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18755, 686, 18644])).
% 8.81/6.48 tff(18757,plain,
% 8.81/6.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s232, c_n2) | (~node8(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s232, c_n2) | (~node8(s232)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18758,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s232, c_n2) | (~node8(s232)))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18759,plain,
% 8.81/6.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s232, c_n2) | (~node8(s232))),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18758, 18757])).
% 8.81/6.48 tff(18760,plain,
% 8.81/6.48 (~node8(s232)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18759, 271, 18709])).
% 8.81/6.48 tff(18761,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s232, s233)) | node14(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s232, s233)) | node14(s232, s233))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18762,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s232, s233)) | node14(s232, s233))),
% 8.81/6.48 inference(quant_inst,[status(thm)],[])).
% 8.81/6.48 tff(18763,plain,
% 8.81/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s232, s233)) | node14(s232, s233)),
% 8.81/6.48 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 8.81/6.48 tff(18764,plain,
% 8.81/6.48 (node14(s232, s233)),
% 8.81/6.48 inference(unit_resolution,[status(thm)],[18763, 46, 18720])).
% 8.81/6.48 tff(18765,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18766,plain,
% 8.81/6.48 (((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2)) <=> (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.48 inference(rewrite,[status(thm)],[])).
% 8.81/6.48 tff(18767,plain,
% 8.81/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2))))),
% 8.81/6.49 inference(monotonicity,[status(thm)],[18766])).
% 8.81/6.49 tff(18768,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 8.81/6.49 inference(transitivity,[status(thm)],[18767, 18765])).
% 8.81/6.49 tff(18769,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18770,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18769, 18768])).
% 8.81/6.49 tff(18771,plain,
% 8.81/6.49 (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~m_main_v_state2(s232, c_c2))),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18770, 726, 18764])).
% 8.81/6.49 tff(18772,plain,
% 8.81/6.49 (m_main_v_state2(s233, c_n2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18771, 18760, 18705, 18756, 18752, 18748, 18744])).
% 8.81/6.49 tff(18773,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18774,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18775,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18774, 18773])).
% 8.81/6.49 tff(18776,plain,
% 8.81/6.49 (~m_main_v_state2(s233, c_t2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18775, 77, 18772])).
% 8.81/6.49 tff(18777,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s233, c_t2) | (~node15(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s233, c_t2) | (~node15(s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18778,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s233, c_t2) | (~node15(s233)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18779,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s233, c_t2) | (~node15(s233))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 8.81/6.49 tff(18780,plain,
% 8.81/6.49 (~node15(s233)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18779, 103, 18776])).
% 8.81/6.49 tff(18781,plain,
% 8.81/6.49 (succ(s233, s234) <=> succ(s233, s234)),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18782,axiom,(succ(s233, s234)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound234')).
% 8.81/6.49 tff(18783,plain,
% 8.81/6.49 (succ(s233, s234)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18782, 18781])).
% 8.81/6.49 tff(18784,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18785,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18786,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 8.81/6.49 tff(18787,plain,
% 8.81/6.49 (trans(s233, s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18786, 18783, 32])).
% 8.81/6.49 tff(18788,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s233, s234)) | node18(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s233, s234)) | node18(s233, s234))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18789,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s233, s234)) | node18(s233, s234))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18790,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s233, s234)) | node18(s233, s234)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 8.81/6.49 tff(18791,plain,
% 8.81/6.49 (node18(s233, s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18790, 125, 18787])).
% 8.81/6.49 tff(18792,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18793,plain,
% 8.81/6.49 (((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1)) <=> (node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18794,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)))),
% 8.81/6.49 inference(monotonicity,[status(thm)],[18793])).
% 8.81/6.49 tff(18795,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 8.81/6.49 inference(transitivity,[status(thm)],[18794, 18792])).
% 8.81/6.49 tff(18796,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18797,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 8.81/6.49 tff(18798,plain,
% 8.81/6.49 (node15(s233) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18797, 992, 18791])).
% 8.81/6.49 tff(18799,plain,
% 8.81/6.49 (m_main_v_turn(s234, c_1)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18798, 18780, 18772, 18736])).
% 8.81/6.49 tff(18800,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18801,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18802,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 8.81/6.49 tff(18803,plain,
% 8.81/6.49 (~m_main_v_turn(s234, c_2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18802, 156, 18799])).
% 8.81/6.49 tff(18804,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s234, c_2) | (~node12(s234)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s234, c_2) | (~node12(s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18805,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s234, c_2) | (~node12(s234)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18806,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s234, c_2) | (~node12(s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18805, 18804])).
% 8.81/6.49 tff(18807,plain,
% 8.81/6.49 (~node12(s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18806, 184, 18803])).
% 8.81/6.49 tff(18808,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s233, s234)) | node14(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s233, s234)) | node14(s233, s234))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18809,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s233, s234)) | node14(s233, s234))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18810,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s233, s234)) | node14(s233, s234)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18809, 18808])).
% 8.81/6.49 tff(18811,plain,
% 8.81/6.49 (node14(s233, s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18810, 46, 18787])).
% 8.81/6.49 tff(18812,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18813,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18814,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 8.81/6.49 tff(18815,plain,
% 8.81/6.49 ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state2(s234, c_t2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18814, 922, 18811])).
% 8.81/6.49 tff(18816,plain,
% 8.81/6.49 (m_main_v_state2(s234, c_t2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18815, 18736, 18772])).
% 8.81/6.49 tff(18817,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18818,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18819,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18818, 18817])).
% 8.81/6.49 tff(18820,plain,
% 8.81/6.49 (~m_main_v_state2(s234, c_n2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18819, 77, 18816])).
% 8.81/6.49 tff(18821,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s234, c_n2) | (~node8(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s234, c_n2) | (~node8(s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18822,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s234, c_n2) | (~node8(s234)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18823,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s234, c_n2) | (~node8(s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 8.81/6.49 tff(18824,plain,
% 8.81/6.49 (~node8(s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18823, 271, 18820])).
% 8.81/6.49 tff(18825,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s234, c_n2) | (~node9(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s234, c_n2) | (~node9(s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18826,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s234, c_n2) | (~node9(s234)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18827,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s234, c_n2) | (~node9(s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18826, 18825])).
% 8.81/6.49 tff(18828,plain,
% 8.81/6.49 (~node9(s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18827, 88, 18820])).
% 8.81/6.49 tff(18829,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s234, c_n2) | (~node10(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s234, c_n2) | (~node10(s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18830,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s234, c_n2) | (~node10(s234)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18831,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s234, c_n2) | (~node10(s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 8.81/6.49 tff(18832,plain,
% 8.81/6.49 (~node10(s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18831, 249, 18820])).
% 8.81/6.49 tff(18833,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18834,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18835,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 8.81/6.49 tff(18836,plain,
% 8.81/6.49 (~m_main_v_state2(s234, c_c2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18835, 260, 18816])).
% 8.81/6.49 tff(18837,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18838,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18839,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 8.81/6.49 tff(18840,plain,
% 8.81/6.49 (~m_main_v_state2(s233, c_c2)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18839, 697, 18772])).
% 8.81/6.49 tff(18841,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s233, c_c2) | (~node3(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s233, c_c2) | (~node3(s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18842,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s233, c_c2) | (~node3(s233)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18843,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s233, c_c2) | (~node3(s233))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 8.81/6.49 tff(18844,plain,
% 8.81/6.49 (~node3(s233)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18843, 399, 18840])).
% 8.81/6.49 tff(18845,plain,
% 8.81/6.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18846,plain,
% 8.81/6.49 (((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1))) <=> (m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18847,plain,
% 8.81/6.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233))))),
% 8.81/6.49 inference(monotonicity,[status(thm)],[18846])).
% 8.81/6.49 tff(18848,plain,
% 8.81/6.49 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 8.81/6.49 inference(transitivity,[status(thm)],[18847, 18845])).
% 8.81/6.49 tff(18849,plain,
% 8.81/6.49 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18850,plain,
% 8.81/6.49 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 8.81/6.49 tff(18851,plain,
% 8.81/6.49 (~m_main_v_state1(s233, c_n1)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18850, 835, 18644, 18729])).
% 8.81/6.49 tff(18852,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s233, c_n1) | (~node2(s233)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s233, c_n1) | (~node2(s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18853,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s233, c_n1) | (~node2(s233)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18854,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s233, c_n1) | (~node2(s233))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18853, 18852])).
% 8.81/6.49 tff(18855,plain,
% 8.81/6.49 (~node2(s233)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18854, 787, 18851])).
% 8.81/6.49 tff(18856,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s233, c_t2) | (~node1(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s233, c_t2) | (~node1(s233)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18857,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s233, c_t2) | (~node1(s233)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18858,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s233, c_t2) | (~node1(s233))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18857, 18856])).
% 8.81/6.49 tff(18859,plain,
% 8.81/6.49 (~node1(s233)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18858, 195, 18776])).
% 8.81/6.49 tff(18860,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s233, s234)) | node7(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s233, s234)) | node7(s233, s234))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18861,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s233, s234)) | node7(s233, s234))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18862,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s233, s234)) | node7(s233, s234)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18861, 18860])).
% 8.81/6.49 tff(18863,plain,
% 8.81/6.49 (node7(s233, s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18862, 206, 18787])).
% 8.81/6.49 tff(18864,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18865,plain,
% 8.81/6.49 (((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1)) <=> ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18866,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234))))),
% 8.81/6.49 inference(monotonicity,[status(thm)],[18865])).
% 8.81/6.49 tff(18867,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 8.81/6.49 inference(transitivity,[status(thm)],[18866, 18864])).
% 8.81/6.49 tff(18868,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18869,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18868, 18867])).
% 8.81/6.49 tff(18870,plain,
% 8.81/6.49 ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18869, 892, 18863])).
% 8.81/6.49 tff(18871,plain,
% 8.81/6.49 (m_main_v_state1(s234, c_c1)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18870, 18859, 18772, 18736, 18855, 18844])).
% 8.81/6.49 tff(18872,plain,
% 8.81/6.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18873,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18874,plain,
% 8.81/6.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 8.81/6.49 tff(18875,plain,
% 8.81/6.49 (~m_main_v_state1(s234, c_n1)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18874, 454, 18871])).
% 8.81/6.49 tff(18876,plain,
% 8.81/6.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s234, c_n1) | (~node11(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s234, c_n1) | (~node11(s234)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18877,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s234, c_n1) | (~node11(s234)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18878,plain,
% 8.81/6.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s234, c_n1) | (~node11(s234))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 8.81/6.49 tff(18879,plain,
% 8.81/6.49 (~node11(s234)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18878, 238, 18875])).
% 8.81/6.49 tff(18880,plain,
% 8.81/6.49 (succ(s234, s235) <=> succ(s234, s235)),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18881,axiom,(succ(s234, s235)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound235')).
% 8.81/6.49 tff(18882,plain,
% 8.81/6.49 (succ(s234, s235)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 8.81/6.49 tff(18883,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18884,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18885,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 8.81/6.49 tff(18886,plain,
% 8.81/6.49 (trans(s234, s235)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18885, 18882, 32])).
% 8.81/6.49 tff(18887,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s234, s235)) | node14(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s234, s235)) | node14(s234, s235))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18888,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s234, s235)) | node14(s234, s235))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18889,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s234, s235)) | node14(s234, s235)),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 8.81/6.49 tff(18890,plain,
% 8.81/6.49 (node14(s234, s235)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18889, 46, 18886])).
% 8.81/6.49 tff(18891,plain,
% 8.81/6.49 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18892,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))),
% 8.81/6.49 inference(quant_inst,[status(thm)],[])).
% 8.81/6.49 tff(18893,plain,
% 8.81/6.49 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235))),
% 8.81/6.49 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 8.81/6.49 tff(18894,plain,
% 8.81/6.49 (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18893, 296, 18890])).
% 8.81/6.49 tff(18895,plain,
% 8.81/6.49 (node13(s234, s235)),
% 8.81/6.49 inference(unit_resolution,[status(thm)],[18894, 18879, 18836, 18832, 18828, 18824, 18807])).
% 8.81/6.49 tff(18896,plain,
% 8.81/6.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18897,plain,
% 8.81/6.49 (((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2))) <=> (m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 8.81/6.49 inference(rewrite,[status(thm)],[])).
% 8.81/6.49 tff(18898,plain,
% 8.81/6.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235))))),
% 8.81/6.50 inference(monotonicity,[status(thm)],[18897])).
% 8.81/6.50 tff(18899,plain,
% 8.81/6.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 8.81/6.50 inference(transitivity,[status(thm)],[18898, 18896])).
% 8.81/6.50 tff(18900,plain,
% 8.81/6.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18901,plain,
% 8.81/6.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18900, 18899])).
% 8.81/6.50 tff(18902,plain,
% 8.81/6.50 (~m_main_v_state2(s235, c_n2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18901, 311, 18820, 18895])).
% 8.81/6.50 tff(18903,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s235, c_n2) | (~node9(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s235, c_n2) | (~node9(s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18904,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s235, c_n2) | (~node9(s235)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18905,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s235, c_n2) | (~node9(s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 8.81/6.50 tff(18906,plain,
% 8.81/6.50 (~node9(s235)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18905, 88, 18902])).
% 8.81/6.50 tff(18907,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s235, c_n2) | (~node10(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s235, c_n2) | (~node10(s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18908,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s235, c_n2) | (~node10(s235)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18909,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s235, c_n2) | (~node10(s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 8.81/6.50 tff(18910,plain,
% 8.81/6.50 (~node10(s235)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18909, 249, 18902])).
% 8.81/6.50 tff(18911,plain,
% 8.81/6.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18912,plain,
% 8.81/6.50 (((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2)) <=> ((~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18913,plain,
% 8.81/6.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235))))),
% 8.81/6.50 inference(monotonicity,[status(thm)],[18912])).
% 8.81/6.50 tff(18914,plain,
% 8.81/6.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 8.81/6.50 inference(transitivity,[status(thm)],[18913, 18911])).
% 8.81/6.50 tff(18915,plain,
% 8.81/6.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18916,plain,
% 8.81/6.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 8.81/6.50 tff(18917,plain,
% 8.81/6.50 (m_main_v_state2(s235, c_t2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18916, 518, 18816, 18895])).
% 8.81/6.50 tff(18918,plain,
% 8.81/6.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18919,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18920,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 8.81/6.50 tff(18921,plain,
% 8.81/6.50 (~m_main_v_state1(s234, c_t1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18920, 539, 18871])).
% 8.81/6.50 tff(18922,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s234, c_t1) | (~node5(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s234, c_t1) | (~node5(s234)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18923,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s234, c_t1) | (~node5(s234)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18924,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s234, c_t1) | (~node5(s234))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 8.81/6.50 tff(18925,plain,
% 8.81/6.50 (~node5(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18924, 550, 18921])).
% 8.81/6.50 tff(18926,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s234, c_n2) | (~node4(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s234, c_n2) | (~node4(s234)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18927,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s234, c_n2) | (~node4(s234)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18928,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s234, c_n2) | (~node4(s234))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18927, 18926])).
% 8.81/6.50 tff(18929,plain,
% 8.81/6.50 (~node4(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18928, 388, 18820])).
% 8.81/6.50 tff(18930,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s234, c_c2) | (~node3(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s234, c_c2) | (~node3(s234)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18931,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s234, c_c2) | (~node3(s234)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18932,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s234, c_c2) | (~node3(s234))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18931, 18930])).
% 8.81/6.50 tff(18933,plain,
% 8.81/6.50 (~node3(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18932, 399, 18836])).
% 8.81/6.50 tff(18934,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s234, c_n2) | (~node2(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s234, c_n2) | (~node2(s234)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18935,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s234, c_n2) | (~node2(s234)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18936,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s234, c_n2) | (~node2(s234))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 8.81/6.50 tff(18937,plain,
% 8.81/6.50 (~node2(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18936, 410, 18820])).
% 8.81/6.50 tff(18938,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s234, c_n1) | (~node1(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s234, c_n1) | (~node1(s234)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18939,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s234, c_n1) | (~node1(s234)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18940,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s234, c_n1) | (~node1(s234))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18939, 18938])).
% 8.81/6.50 tff(18941,plain,
% 8.81/6.50 (~node1(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18940, 421, 18875])).
% 8.81/6.50 tff(18942,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s234, s235)) | node7(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s234, s235)) | node7(s234, s235))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18943,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s234, s235)) | node7(s234, s235))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18944,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s234, s235)) | node7(s234, s235)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18943, 18942])).
% 8.81/6.50 tff(18945,plain,
% 8.81/6.50 (node7(s234, s235)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18944, 206, 18886])).
% 8.81/6.50 tff(18946,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18947,plain,
% 8.81/6.50 (((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1)) <=> (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18948,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235))))),
% 8.81/6.50 inference(monotonicity,[status(thm)],[18947])).
% 8.81/6.50 tff(18949,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 8.81/6.50 inference(transitivity,[status(thm)],[18948, 18946])).
% 8.81/6.50 tff(18950,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18951,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 8.81/6.50 tff(18952,plain,
% 8.81/6.50 (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18951, 584, 18945])).
% 8.81/6.50 tff(18953,plain,
% 8.81/6.50 (m_main_v_state1(s235, c_n1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18952, 18941, 18871, 18937, 18933, 18929, 18925])).
% 8.81/6.50 tff(18954,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s235, c_n2) | (~node8(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s235, c_n2) | (~node8(s235)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18955,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s235, c_n2) | (~node8(s235)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18956,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s235, c_n2) | (~node8(s235))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18955, 18954])).
% 8.81/6.50 tff(18957,plain,
% 8.81/6.50 (~node8(s235)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18956, 271, 18902])).
% 8.81/6.50 tff(18958,plain,
% 8.81/6.50 (succ(s235, s236) <=> succ(s235, s236)),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18959,axiom,(succ(s235, s236)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound236')).
% 8.81/6.50 tff(18960,plain,
% 8.81/6.50 (succ(s235, s236)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18959, 18958])).
% 8.81/6.50 tff(18961,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18962,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18963,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 8.81/6.50 tff(18964,plain,
% 8.81/6.50 (trans(s235, s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18963, 18960, 32])).
% 8.81/6.50 tff(18965,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s235, s236)) | node14(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s235, s236)) | node14(s235, s236))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18966,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s235, s236)) | node14(s235, s236))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18967,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s235, s236)) | node14(s235, s236)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18966, 18965])).
% 8.81/6.50 tff(18968,plain,
% 8.81/6.50 (node14(s235, s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18967, 46, 18964])).
% 8.81/6.50 tff(18969,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18970,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18971,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18970, 18969])).
% 8.81/6.50 tff(18972,plain,
% 8.81/6.50 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | m_main_v_state2(s236, c_c2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18971, 617, 18968])).
% 8.81/6.50 tff(18973,plain,
% 8.81/6.50 (m_main_v_state2(s236, c_c2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18972, 18957, 18953, 18917, 18910, 18906])).
% 8.81/6.50 tff(18974,plain,
% 8.81/6.50 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18975,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18976,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18975, 18974])).
% 8.81/6.50 tff(18977,plain,
% 8.81/6.50 (~m_main_v_state2(s236, c_t2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18976, 260, 18973])).
% 8.81/6.50 tff(18978,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s236, c_t2) | (~node12(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s236, c_t2) | (~node12(s236)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18979,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s236, c_t2) | (~node12(s236)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18980,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s236, c_t2) | (~node12(s236))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18979, 18978])).
% 8.81/6.50 tff(18981,plain,
% 8.81/6.50 (~node12(s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18980, 633, 18977])).
% 8.81/6.50 tff(18982,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s235, s236)) | node7(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s235, s236)) | node7(s235, s236))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18983,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s235, s236)) | node7(s235, s236))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18984,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s235, s236)) | node7(s235, s236)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18983, 18982])).
% 8.81/6.50 tff(18985,plain,
% 8.81/6.50 (node7(s235, s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18984, 206, 18964])).
% 8.81/6.50 tff(18986,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18987,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18988,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 8.81/6.50 tff(18989,plain,
% 8.81/6.50 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_state1(s236, c_t1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18988, 651, 18985])).
% 8.81/6.50 tff(18990,plain,
% 8.81/6.50 (m_main_v_state1(s236, c_t1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18989, 18917, 18953])).
% 8.81/6.50 tff(18991,plain,
% 8.81/6.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18992,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18993,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 8.81/6.50 tff(18994,plain,
% 8.81/6.50 (~m_main_v_state1(s236, c_n1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18993, 10, 18990])).
% 8.81/6.50 tff(18995,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s236, c_n1) | (~node11(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s236, c_n1) | (~node11(s236)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(18996,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s236, c_n1) | (~node11(s236)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(18997,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s236, c_n1) | (~node11(s236))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 8.81/6.50 tff(18998,plain,
% 8.81/6.50 (~node11(s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[18997, 238, 18994])).
% 8.81/6.50 tff(18999,plain,
% 8.81/6.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19000,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19001,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 8.81/6.50 tff(19002,plain,
% 8.81/6.50 (~m_main_v_state1(s236, c_c1)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19001, 539, 18990])).
% 8.81/6.50 tff(19003,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s236, c_c1) | (~node10(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s236, c_c1) | (~node10(s236)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19004,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s236, c_c1) | (~node10(s236)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19005,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s236, c_c1) | (~node10(s236))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 8.81/6.50 tff(19006,plain,
% 8.81/6.50 (~node10(s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19005, 675, 19002])).
% 8.81/6.50 tff(19007,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s236, c_n1) | (~node9(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s236, c_n1) | (~node9(s236)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19008,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s236, c_n1) | (~node9(s236)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19009,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s236, c_n1) | (~node9(s236))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 8.81/6.50 tff(19010,plain,
% 8.81/6.50 (~node9(s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19009, 686, 18994])).
% 8.81/6.50 tff(19011,plain,
% 8.81/6.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19012,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19013,plain,
% 8.81/6.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 8.81/6.50 tff(19014,plain,
% 8.81/6.50 (~m_main_v_state2(s236, c_n2)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19013, 697, 18973])).
% 8.81/6.50 tff(19015,plain,
% 8.81/6.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s236, c_n2) | (~node8(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s236, c_n2) | (~node8(s236)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19016,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s236, c_n2) | (~node8(s236)))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19017,plain,
% 8.81/6.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s236, c_n2) | (~node8(s236))),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 8.81/6.50 tff(19018,plain,
% 8.81/6.50 (~node8(s236)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19017, 271, 19014])).
% 8.81/6.50 tff(19019,plain,
% 8.81/6.50 (succ(s236, s237) <=> succ(s236, s237)),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19020,axiom,(succ(s236, s237)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound237')).
% 8.81/6.50 tff(19021,plain,
% 8.81/6.50 (succ(s236, s237)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19020, 19019])).
% 8.81/6.50 tff(19022,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19023,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19024,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 8.81/6.50 tff(19025,plain,
% 8.81/6.50 (trans(s236, s237)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19024, 19021, 32])).
% 8.81/6.50 tff(19026,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s236, s237)) | node14(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s236, s237)) | node14(s236, s237))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19027,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s236, s237)) | node14(s236, s237))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19028,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s236, s237)) | node14(s236, s237)),
% 8.81/6.50 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 8.81/6.50 tff(19029,plain,
% 8.81/6.50 (node14(s236, s237)),
% 8.81/6.50 inference(unit_resolution,[status(thm)],[19028, 46, 19025])).
% 8.81/6.50 tff(19030,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19031,plain,
% 8.81/6.50 (((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2)) <=> (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(rewrite,[status(thm)],[])).
% 8.81/6.50 tff(19032,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2))))),
% 8.81/6.50 inference(monotonicity,[status(thm)],[19031])).
% 8.81/6.50 tff(19033,plain,
% 8.81/6.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 8.81/6.50 inference(transitivity,[status(thm)],[19032, 19030])).
% 8.81/6.50 tff(19034,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2))),
% 8.81/6.50 inference(quant_inst,[status(thm)],[])).
% 8.81/6.50 tff(19035,plain,
% 8.81/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19034, 19033])).
% 8.81/6.51 tff(19036,plain,
% 8.81/6.51 (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~m_main_v_state2(s236, c_c2))),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19035, 726, 19029])).
% 8.81/6.51 tff(19037,plain,
% 8.81/6.51 (m_main_v_state2(s237, c_n2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19036, 19018, 18973, 19010, 19006, 18998, 18981])).
% 8.81/6.51 tff(19038,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19039,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19040,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19039, 19038])).
% 8.81/6.51 tff(19041,plain,
% 8.81/6.51 (~m_main_v_state2(s237, c_c2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19040, 697, 19037])).
% 8.81/6.51 tff(19042,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s237, c_c2) | (~node3(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s237, c_c2) | (~node3(s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19043,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s237, c_c2) | (~node3(s237)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19044,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s237, c_c2) | (~node3(s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 8.81/6.51 tff(19045,plain,
% 8.81/6.51 (~node3(s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19044, 399, 19041])).
% 8.81/6.51 tff(19046,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s236, c_n1) | (~node1(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s236, c_n1) | (~node1(s236)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19047,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s236, c_n1) | (~node1(s236)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19048,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s236, c_n1) | (~node1(s236))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 8.81/6.51 tff(19049,plain,
% 8.81/6.51 (~node1(s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19048, 421, 18994])).
% 8.81/6.51 tff(19050,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s235, s236)) | node18(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s235, s236)) | node18(s235, s236))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19051,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s235, s236)) | node18(s235, s236))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19052,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s235, s236)) | node18(s235, s236)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19051, 19050])).
% 8.81/6.51 tff(19053,plain,
% 8.81/6.51 (node18(s235, s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19052, 125, 18964])).
% 8.81/6.51 tff(19054,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19055,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19056,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 8.81/6.51 tff(19057,plain,
% 8.81/6.51 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_turn(s236, c_2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19056, 760, 19053])).
% 8.81/6.51 tff(19058,plain,
% 8.81/6.51 (m_main_v_turn(s236, c_2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19057, 18917, 18953])).
% 8.81/6.51 tff(19059,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19060,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19061,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 8.81/6.51 tff(19062,plain,
% 8.81/6.51 (~m_main_v_turn(s236, c_1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19061, 156, 19058])).
% 8.81/6.51 tff(19063,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s236, c_1) | (~node5(s236)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s236, c_1) | (~node5(s236)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19064,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s236, c_1) | (~node5(s236)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19065,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s236, c_1) | (~node5(s236))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 8.81/6.51 tff(19066,plain,
% 8.81/6.51 (~node5(s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19065, 776, 19062])).
% 8.81/6.51 tff(19067,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s236, c_n1) | (~node2(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s236, c_n1) | (~node2(s236)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19068,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s236, c_n1) | (~node2(s236)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19069,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s236, c_n1) | (~node2(s236))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 8.81/6.51 tff(19070,plain,
% 8.81/6.51 (~node2(s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19069, 787, 18994])).
% 8.81/6.51 tff(19071,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s236, c_n1) | (~node3(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s236, c_n1) | (~node3(s236)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19072,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s236, c_n1) | (~node3(s236)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19073,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s236, c_n1) | (~node3(s236))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 8.81/6.51 tff(19074,plain,
% 8.81/6.51 (~node3(s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19073, 798, 18994])).
% 8.81/6.51 tff(19075,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s236, c_n2) | (~node4(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s236, c_n2) | (~node4(s236)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19076,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s236, c_n2) | (~node4(s236)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19077,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s236, c_n2) | (~node4(s236))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 8.81/6.51 tff(19078,plain,
% 8.81/6.51 (~node4(s236)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19077, 388, 19014])).
% 8.81/6.51 tff(19079,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s236, s237)) | node7(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s236, s237)) | node7(s236, s237))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19080,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s236, s237)) | node7(s236, s237))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19081,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s236, s237)) | node7(s236, s237)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 8.81/6.51 tff(19082,plain,
% 8.81/6.51 (node7(s236, s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19081, 206, 19025])).
% 8.81/6.51 tff(19083,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19084,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19085,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 8.81/6.51 tff(19086,plain,
% 8.81/6.51 (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19085, 820, 19082])).
% 8.81/6.51 tff(19087,plain,
% 8.81/6.51 (node6(s236, s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19086, 19078, 19002, 19074, 19070, 19066, 19049])).
% 8.81/6.51 tff(19088,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19089,plain,
% 8.81/6.51 (((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1))) <=> (m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19090,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237))))),
% 8.81/6.51 inference(monotonicity,[status(thm)],[19089])).
% 8.81/6.51 tff(19091,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 8.81/6.51 inference(transitivity,[status(thm)],[19090, 19088])).
% 8.81/6.51 tff(19092,plain,
% 8.81/6.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19093,plain,
% 8.81/6.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 8.81/6.51 tff(19094,plain,
% 8.81/6.51 (~m_main_v_state1(s237, c_n1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19093, 835, 18994, 19087])).
% 8.81/6.51 tff(19095,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s237, c_n1) | (~node2(s237)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s237, c_n1) | (~node2(s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19096,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s237, c_n1) | (~node2(s237)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19097,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s237, c_n1) | (~node2(s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 8.81/6.51 tff(19098,plain,
% 8.81/6.51 (~node2(s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19097, 787, 19094])).
% 8.81/6.51 tff(19099,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19100,plain,
% 8.81/6.51 (((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1)) <=> ((~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19101,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237))))),
% 8.81/6.51 inference(monotonicity,[status(thm)],[19100])).
% 8.81/6.51 tff(19102,plain,
% 8.81/6.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 8.81/6.51 inference(transitivity,[status(thm)],[19101, 19099])).
% 8.81/6.51 tff(19103,plain,
% 8.81/6.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19104,plain,
% 8.81/6.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19103, 19102])).
% 8.81/6.51 tff(19105,plain,
% 8.81/6.51 (m_main_v_state1(s237, c_t1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19104, 856, 18990, 19087])).
% 8.81/6.51 tff(19106,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19107,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19108,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19107, 19106])).
% 8.81/6.51 tff(19109,plain,
% 8.81/6.51 (~m_main_v_state2(s237, c_t2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19108, 77, 19037])).
% 8.81/6.51 tff(19110,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s237, c_t2) | (~node1(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s237, c_t2) | (~node1(s237)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19111,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s237, c_t2) | (~node1(s237)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19112,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s237, c_t2) | (~node1(s237))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 8.81/6.51 tff(19113,plain,
% 8.81/6.51 (~node1(s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19112, 195, 19109])).
% 8.81/6.51 tff(19114,plain,
% 8.81/6.51 (succ(s237, s238) <=> succ(s237, s238)),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19115,axiom,(succ(s237, s238)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound238')).
% 8.81/6.51 tff(19116,plain,
% 8.81/6.51 (succ(s237, s238)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19115, 19114])).
% 8.81/6.51 tff(19117,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19118,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19119,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 8.81/6.51 tff(19120,plain,
% 8.81/6.51 (trans(s237, s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19119, 19116, 32])).
% 8.81/6.51 tff(19121,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s237, s238)) | node7(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s237, s238)) | node7(s237, s238))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19122,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s237, s238)) | node7(s237, s238))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19123,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s237, s238)) | node7(s237, s238)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19122, 19121])).
% 8.81/6.51 tff(19124,plain,
% 8.81/6.51 (node7(s237, s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19123, 206, 19120])).
% 8.81/6.51 tff(19125,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19126,plain,
% 8.81/6.51 (((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1)) <=> ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19127,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238))))),
% 8.81/6.51 inference(monotonicity,[status(thm)],[19126])).
% 8.81/6.51 tff(19128,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 8.81/6.51 inference(transitivity,[status(thm)],[19127, 19125])).
% 8.81/6.51 tff(19129,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19130,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 8.81/6.51 tff(19131,plain,
% 8.81/6.51 ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19130, 892, 19124])).
% 8.81/6.51 tff(19132,plain,
% 8.81/6.51 (m_main_v_state1(s238, c_c1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19131, 19113, 19037, 19105, 19098, 19045])).
% 8.81/6.51 tff(19133,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19134,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19135,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 8.81/6.51 tff(19136,plain,
% 8.81/6.51 (~m_main_v_state1(s238, c_t1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19135, 539, 19132])).
% 8.81/6.51 tff(19137,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s238, c_t1) | (~node5(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s238, c_t1) | (~node5(s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19138,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s238, c_t1) | (~node5(s238)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19139,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s238, c_t1) | (~node5(s238))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 8.81/6.51 tff(19140,plain,
% 8.81/6.51 (~node5(s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19139, 550, 19136])).
% 8.81/6.51 tff(19141,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s237, s238)) | node14(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s237, s238)) | node14(s237, s238))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19142,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s237, s238)) | node14(s237, s238))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19143,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s237, s238)) | node14(s237, s238)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 8.81/6.51 tff(19144,plain,
% 8.81/6.51 (node14(s237, s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19143, 46, 19120])).
% 8.81/6.51 tff(19145,plain,
% 8.81/6.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19146,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19147,plain,
% 8.81/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2)),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 8.81/6.51 tff(19148,plain,
% 8.81/6.51 ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state2(s238, c_t2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19147, 922, 19144])).
% 8.81/6.51 tff(19149,plain,
% 8.81/6.51 (m_main_v_state2(s238, c_t2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19148, 19105, 19037])).
% 8.81/6.51 tff(19150,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19151,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19152,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 8.81/6.51 tff(19153,plain,
% 8.81/6.51 (~m_main_v_state2(s238, c_n2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19152, 77, 19149])).
% 8.81/6.51 tff(19154,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s238, c_n2) | (~node4(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s238, c_n2) | (~node4(s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19155,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s238, c_n2) | (~node4(s238)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19156,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s238, c_n2) | (~node4(s238))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19155, 19154])).
% 8.81/6.51 tff(19157,plain,
% 8.81/6.51 (~node4(s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19156, 388, 19153])).
% 8.81/6.51 tff(19158,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19159,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19160,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 8.81/6.51 tff(19161,plain,
% 8.81/6.51 (~m_main_v_state2(s238, c_c2)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19160, 260, 19149])).
% 8.81/6.51 tff(19162,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s238, c_c2) | (~node3(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s238, c_c2) | (~node3(s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19163,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s238, c_c2) | (~node3(s238)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19164,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s238, c_c2) | (~node3(s238))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 8.81/6.51 tff(19165,plain,
% 8.81/6.51 (~node3(s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19164, 399, 19161])).
% 8.81/6.51 tff(19166,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s238, c_n2) | (~node2(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s238, c_n2) | (~node2(s238)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19167,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s238, c_n2) | (~node2(s238)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19168,plain,
% 8.81/6.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s238, c_n2) | (~node2(s238))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 8.81/6.51 tff(19169,plain,
% 8.81/6.51 (~node2(s238)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19168, 410, 19153])).
% 8.81/6.51 tff(19170,plain,
% 8.81/6.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))),
% 8.81/6.51 inference(rewrite,[status(thm)],[])).
% 8.81/6.51 tff(19171,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))),
% 8.81/6.51 inference(quant_inst,[status(thm)],[])).
% 8.81/6.51 tff(19172,plain,
% 8.81/6.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1))),
% 8.81/6.51 inference(modus_ponens,[status(thm)],[19171, 19170])).
% 8.81/6.51 tff(19173,plain,
% 8.81/6.51 (~m_main_v_state1(s238, c_n1)),
% 8.81/6.51 inference(unit_resolution,[status(thm)],[19172, 454, 19132])).
% 8.81/6.51 tff(19174,plain,
% 8.81/6.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s238, c_n1) | (~node1(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s238, c_n1) | (~node1(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19175,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s238, c_n1) | (~node1(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19176,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s238, c_n1) | (~node1(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 8.81/6.52 tff(19177,plain,
% 8.81/6.52 (~node1(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19176, 421, 19173])).
% 8.81/6.52 tff(19178,plain,
% 8.81/6.52 (succ(s238, s239) <=> succ(s238, s239)),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19179,axiom,(succ(s238, s239)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound239')).
% 8.81/6.52 tff(19180,plain,
% 8.81/6.52 (succ(s238, s239)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 8.81/6.52 tff(19181,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19182,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19183,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19182, 19181])).
% 8.81/6.52 tff(19184,plain,
% 8.81/6.52 (trans(s238, s239)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19183, 19180, 32])).
% 8.81/6.52 tff(19185,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s238, s239)) | node7(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s238, s239)) | node7(s238, s239))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19186,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s238, s239)) | node7(s238, s239))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19187,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s238, s239)) | node7(s238, s239)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19186, 19185])).
% 8.81/6.52 tff(19188,plain,
% 8.81/6.52 (node7(s238, s239)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19187, 206, 19184])).
% 8.81/6.52 tff(19189,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19190,plain,
% 8.81/6.52 (((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1)) <=> (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19191,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239))))),
% 8.81/6.52 inference(monotonicity,[status(thm)],[19190])).
% 8.81/6.52 tff(19192,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 8.81/6.52 inference(transitivity,[status(thm)],[19191, 19189])).
% 8.81/6.52 tff(19193,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19194,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 8.81/6.52 tff(19195,plain,
% 8.81/6.52 (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19194, 584, 19188])).
% 8.81/6.52 tff(19196,plain,
% 8.81/6.52 (m_main_v_state1(s239, c_n1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19195, 19177, 19132, 19169, 19165, 19157, 19140])).
% 8.81/6.52 tff(19197,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s237, c_t2) | (~node15(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s237, c_t2) | (~node15(s237)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19198,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s237, c_t2) | (~node15(s237)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19199,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s237, c_t2) | (~node15(s237))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19198, 19197])).
% 8.81/6.52 tff(19200,plain,
% 8.81/6.52 (~node15(s237)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19199, 103, 19109])).
% 8.81/6.52 tff(19201,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s237, s238)) | node18(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s237, s238)) | node18(s237, s238))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19202,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s237, s238)) | node18(s237, s238))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19203,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s237, s238)) | node18(s237, s238)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19202, 19201])).
% 8.81/6.52 tff(19204,plain,
% 8.81/6.52 (node18(s237, s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19203, 125, 19120])).
% 8.81/6.52 tff(19205,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19206,plain,
% 8.81/6.52 (((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1)) <=> (node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19207,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)))),
% 8.81/6.52 inference(monotonicity,[status(thm)],[19206])).
% 8.81/6.52 tff(19208,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 8.81/6.52 inference(transitivity,[status(thm)],[19207, 19205])).
% 8.81/6.52 tff(19209,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19210,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 8.81/6.52 tff(19211,plain,
% 8.81/6.52 (node15(s237) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19210, 992, 19204])).
% 8.81/6.52 tff(19212,plain,
% 8.81/6.52 (m_main_v_turn(s238, c_1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19211, 19200, 19037, 19105])).
% 8.81/6.52 tff(19213,plain,
% 8.81/6.52 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19214,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19215,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19214, 19213])).
% 8.81/6.52 tff(19216,plain,
% 8.81/6.52 (~m_main_v_turn(s238, c_2)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19215, 156, 19212])).
% 8.81/6.52 tff(19217,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s238, c_2) | (~node12(s238)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s238, c_2) | (~node12(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19218,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s238, c_2) | (~node12(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19219,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s238, c_2) | (~node12(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 8.81/6.52 tff(19220,plain,
% 8.81/6.52 (~node12(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19219, 184, 19216])).
% 8.81/6.52 tff(19221,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s238, c_n2) | (~node8(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s238, c_n2) | (~node8(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19222,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s238, c_n2) | (~node8(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19223,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s238, c_n2) | (~node8(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 8.81/6.52 tff(19224,plain,
% 8.81/6.52 (~node8(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19223, 271, 19153])).
% 8.81/6.52 tff(19225,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s238, c_n2) | (~node9(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s238, c_n2) | (~node9(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19226,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s238, c_n2) | (~node9(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19227,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s238, c_n2) | (~node9(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 8.81/6.52 tff(19228,plain,
% 8.81/6.52 (~node9(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19227, 88, 19153])).
% 8.81/6.52 tff(19229,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s238, c_n2) | (~node10(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s238, c_n2) | (~node10(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19230,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s238, c_n2) | (~node10(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19231,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s238, c_n2) | (~node10(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 8.81/6.52 tff(19232,plain,
% 8.81/6.52 (~node10(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19231, 249, 19153])).
% 8.81/6.52 tff(19233,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s238, c_n1) | (~node11(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s238, c_n1) | (~node11(s238)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19234,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s238, c_n1) | (~node11(s238)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19235,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s238, c_n1) | (~node11(s238))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 8.81/6.52 tff(19236,plain,
% 8.81/6.52 (~node11(s238)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19235, 238, 19173])).
% 8.81/6.52 tff(19237,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s238, s239)) | node14(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s238, s239)) | node14(s238, s239))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19238,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s238, s239)) | node14(s238, s239))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19239,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s238, s239)) | node14(s238, s239)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19238, 19237])).
% 8.81/6.52 tff(19240,plain,
% 8.81/6.52 (node14(s238, s239)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19239, 46, 19184])).
% 8.81/6.52 tff(19241,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19242,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19243,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 8.81/6.52 tff(19244,plain,
% 8.81/6.52 (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19243, 296, 19240])).
% 8.81/6.52 tff(19245,plain,
% 8.81/6.52 (node13(s238, s239)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19244, 19236, 19161, 19232, 19228, 19224, 19220])).
% 8.81/6.52 tff(19246,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19247,plain,
% 8.81/6.52 (((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2)) <=> ((~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19248,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239))))),
% 8.81/6.52 inference(monotonicity,[status(thm)],[19247])).
% 8.81/6.52 tff(19249,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 8.81/6.52 inference(transitivity,[status(thm)],[19248, 19246])).
% 8.81/6.52 tff(19250,plain,
% 8.81/6.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19251,plain,
% 8.81/6.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 8.81/6.52 tff(19252,plain,
% 8.81/6.52 (m_main_v_state2(s239, c_t2)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19251, 518, 19149, 19245])).
% 8.81/6.52 tff(19253,plain,
% 8.81/6.52 (succ(s239, s240) <=> succ(s239, s240)),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19254,axiom,(succ(s239, s240)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound240')).
% 8.81/6.52 tff(19255,plain,
% 8.81/6.52 (succ(s239, s240)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19254, 19253])).
% 8.81/6.52 tff(19256,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19257,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19258,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 8.81/6.52 tff(19259,plain,
% 8.81/6.52 (trans(s239, s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19258, 19255, 32])).
% 8.81/6.52 tff(19260,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s239, s240)) | node7(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s239, s240)) | node7(s239, s240))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19261,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s239, s240)) | node7(s239, s240))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19262,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s239, s240)) | node7(s239, s240)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 8.81/6.52 tff(19263,plain,
% 8.81/6.52 (node7(s239, s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19262, 206, 19259])).
% 8.81/6.52 tff(19264,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19265,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19266,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 8.81/6.52 tff(19267,plain,
% 8.81/6.52 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_state1(s240, c_t1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19266, 651, 19263])).
% 8.81/6.52 tff(19268,plain,
% 8.81/6.52 (m_main_v_state1(s240, c_t1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19267, 19252, 19196])).
% 8.81/6.52 tff(19269,plain,
% 8.81/6.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19270,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19271,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 8.81/6.52 tff(19272,plain,
% 8.81/6.52 (~m_main_v_state1(s240, c_n1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19271, 10, 19268])).
% 8.81/6.52 tff(19273,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s240, c_n1) | (~node1(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s240, c_n1) | (~node1(s240)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19274,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s240, c_n1) | (~node1(s240)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19275,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s240, c_n1) | (~node1(s240))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 8.81/6.52 tff(19276,plain,
% 8.81/6.52 (~node1(s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19275, 421, 19272])).
% 8.81/6.52 tff(19277,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s239, s240)) | node18(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s239, s240)) | node18(s239, s240))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19278,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s239, s240)) | node18(s239, s240))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19279,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s239, s240)) | node18(s239, s240)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19278, 19277])).
% 8.81/6.52 tff(19280,plain,
% 8.81/6.52 (node18(s239, s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19279, 125, 19259])).
% 8.81/6.52 tff(19281,plain,
% 8.81/6.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19282,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19283,plain,
% 8.81/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2)),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19282, 19281])).
% 8.81/6.52 tff(19284,plain,
% 8.81/6.52 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_turn(s240, c_2)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19283, 760, 19280])).
% 8.81/6.52 tff(19285,plain,
% 8.81/6.52 (m_main_v_turn(s240, c_2)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19284, 19252, 19196])).
% 8.81/6.52 tff(19286,plain,
% 8.81/6.52 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19287,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19288,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 8.81/6.52 tff(19289,plain,
% 8.81/6.52 (~m_main_v_turn(s240, c_1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19288, 156, 19285])).
% 8.81/6.52 tff(19290,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s240, c_1) | (~node5(s240)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s240, c_1) | (~node5(s240)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19291,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s240, c_1) | (~node5(s240)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19292,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s240, c_1) | (~node5(s240))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 8.81/6.52 tff(19293,plain,
% 8.81/6.52 (~node5(s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19292, 776, 19289])).
% 8.81/6.52 tff(19294,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s240, c_n1) | (~node2(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s240, c_n1) | (~node2(s240)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19295,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s240, c_n1) | (~node2(s240)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19296,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s240, c_n1) | (~node2(s240))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 8.81/6.52 tff(19297,plain,
% 8.81/6.52 (~node2(s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19296, 787, 19272])).
% 8.81/6.52 tff(19298,plain,
% 8.81/6.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s240, c_n1) | (~node3(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s240, c_n1) | (~node3(s240)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19299,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s240, c_n1) | (~node3(s240)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19300,plain,
% 8.81/6.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s240, c_n1) | (~node3(s240))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19299, 19298])).
% 8.81/6.52 tff(19301,plain,
% 8.81/6.52 (~node3(s240)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19300, 798, 19272])).
% 8.81/6.52 tff(19302,plain,
% 8.81/6.52 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19303,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))),
% 8.81/6.52 inference(quant_inst,[status(thm)],[])).
% 8.81/6.52 tff(19304,plain,
% 8.81/6.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1))),
% 8.81/6.52 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 8.81/6.52 tff(19305,plain,
% 8.81/6.52 (~m_main_v_state1(s240, c_c1)),
% 8.81/6.52 inference(unit_resolution,[status(thm)],[19304, 539, 19268])).
% 8.81/6.52 tff(19306,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19307,plain,
% 8.81/6.52 (((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2))) <=> (m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 8.81/6.52 inference(rewrite,[status(thm)],[])).
% 8.81/6.52 tff(19308,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239))))),
% 8.81/6.52 inference(monotonicity,[status(thm)],[19307])).
% 8.81/6.52 tff(19309,plain,
% 8.81/6.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 8.81/6.52 inference(transitivity,[status(thm)],[19308, 19306])).
% 8.81/6.52 tff(19310,plain,
% 8.81/6.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19311,plain,
% 8.81/6.53 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19310, 19309])).
% 8.81/6.53 tff(19312,plain,
% 8.81/6.53 (~m_main_v_state2(s239, c_n2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19311, 311, 19153, 19245])).
% 8.81/6.53 tff(19313,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s239, c_n2) | (~node9(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s239, c_n2) | (~node9(s239)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19314,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s239, c_n2) | (~node9(s239)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19315,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s239, c_n2) | (~node9(s239))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 8.81/6.53 tff(19316,plain,
% 8.81/6.53 (~node9(s239)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19315, 88, 19312])).
% 8.81/6.53 tff(19317,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s239, c_n2) | (~node10(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s239, c_n2) | (~node10(s239)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19318,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s239, c_n2) | (~node10(s239)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19319,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s239, c_n2) | (~node10(s239))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 8.81/6.53 tff(19320,plain,
% 8.81/6.53 (~node10(s239)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19319, 249, 19312])).
% 8.81/6.53 tff(19321,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s239, c_n2) | (~node8(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s239, c_n2) | (~node8(s239)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19322,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s239, c_n2) | (~node8(s239)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19323,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s239, c_n2) | (~node8(s239))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19322, 19321])).
% 8.81/6.53 tff(19324,plain,
% 8.81/6.53 (~node8(s239)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19323, 271, 19312])).
% 8.81/6.53 tff(19325,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s239, s240)) | node14(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s239, s240)) | node14(s239, s240))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19326,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s239, s240)) | node14(s239, s240))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19327,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s239, s240)) | node14(s239, s240)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 8.81/6.53 tff(19328,plain,
% 8.81/6.53 (node14(s239, s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19327, 46, 19259])).
% 8.81/6.53 tff(19329,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19330,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19331,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19330, 19329])).
% 8.81/6.53 tff(19332,plain,
% 8.81/6.53 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | m_main_v_state2(s240, c_c2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19331, 617, 19328])).
% 8.81/6.53 tff(19333,plain,
% 8.81/6.53 (m_main_v_state2(s240, c_c2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19332, 19324, 19196, 19252, 19320, 19316])).
% 8.81/6.53 tff(19334,plain,
% 8.81/6.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19335,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19336,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 8.81/6.53 tff(19337,plain,
% 8.81/6.53 (~m_main_v_state2(s240, c_n2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19336, 697, 19333])).
% 8.81/6.53 tff(19338,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s240, c_n2) | (~node4(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s240, c_n2) | (~node4(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19339,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s240, c_n2) | (~node4(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19340,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s240, c_n2) | (~node4(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19339, 19338])).
% 8.81/6.53 tff(19341,plain,
% 8.81/6.53 (~node4(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19340, 388, 19337])).
% 8.81/6.53 tff(19342,plain,
% 8.81/6.53 (succ(s240, s241) <=> succ(s240, s241)),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19343,axiom,(succ(s240, s241)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound241')).
% 8.81/6.53 tff(19344,plain,
% 8.81/6.53 (succ(s240, s241)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 8.81/6.53 tff(19345,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19346,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19347,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 8.81/6.53 tff(19348,plain,
% 8.81/6.53 (trans(s240, s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19347, 19344, 32])).
% 8.81/6.53 tff(19349,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s240, s241)) | node7(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s240, s241)) | node7(s240, s241))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19350,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s240, s241)) | node7(s240, s241))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19351,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s240, s241)) | node7(s240, s241)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 8.81/6.53 tff(19352,plain,
% 8.81/6.53 (node7(s240, s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19351, 206, 19348])).
% 8.81/6.53 tff(19353,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19354,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19355,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19354, 19353])).
% 8.81/6.53 tff(19356,plain,
% 8.81/6.53 (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19355, 820, 19352])).
% 8.81/6.53 tff(19357,plain,
% 8.81/6.53 (node6(s240, s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19356, 19341, 19305, 19301, 19297, 19293, 19276])).
% 8.81/6.53 tff(19358,plain,
% 8.81/6.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19359,plain,
% 8.81/6.53 (((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1)) <=> ((~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19360,plain,
% 8.81/6.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241))))),
% 8.81/6.53 inference(monotonicity,[status(thm)],[19359])).
% 8.81/6.53 tff(19361,plain,
% 8.81/6.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 8.81/6.53 inference(transitivity,[status(thm)],[19360, 19358])).
% 8.81/6.53 tff(19362,plain,
% 8.81/6.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19363,plain,
% 8.81/6.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 8.81/6.53 tff(19364,plain,
% 8.81/6.53 (m_main_v_state1(s241, c_t1)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19363, 856, 19268, 19357])).
% 8.81/6.53 tff(19365,plain,
% 8.81/6.53 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19366,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19367,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 8.81/6.53 tff(19368,plain,
% 8.81/6.53 (~m_main_v_state2(s240, c_t2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19367, 260, 19333])).
% 8.81/6.53 tff(19369,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s240, c_t2) | (~node12(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s240, c_t2) | (~node12(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19370,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s240, c_t2) | (~node12(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19371,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s240, c_t2) | (~node12(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 8.81/6.53 tff(19372,plain,
% 8.81/6.53 (~node12(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19371, 633, 19368])).
% 8.81/6.53 tff(19373,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s240, c_n1) | (~node11(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s240, c_n1) | (~node11(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19374,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s240, c_n1) | (~node11(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19375,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s240, c_n1) | (~node11(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 8.81/6.53 tff(19376,plain,
% 8.81/6.53 (~node11(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19375, 238, 19272])).
% 8.81/6.53 tff(19377,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s240, c_c1) | (~node10(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s240, c_c1) | (~node10(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19378,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s240, c_c1) | (~node10(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19379,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s240, c_c1) | (~node10(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 8.81/6.53 tff(19380,plain,
% 8.81/6.53 (~node10(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19379, 675, 19305])).
% 8.81/6.53 tff(19381,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s240, c_n1) | (~node9(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s240, c_n1) | (~node9(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19382,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s240, c_n1) | (~node9(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19383,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s240, c_n1) | (~node9(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 8.81/6.53 tff(19384,plain,
% 8.81/6.53 (~node9(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19383, 686, 19272])).
% 8.81/6.53 tff(19385,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s240, c_n2) | (~node8(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s240, c_n2) | (~node8(s240)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19386,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s240, c_n2) | (~node8(s240)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19387,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s240, c_n2) | (~node8(s240))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 8.81/6.53 tff(19388,plain,
% 8.81/6.53 (~node8(s240)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19387, 271, 19337])).
% 8.81/6.53 tff(19389,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s240, s241)) | node14(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s240, s241)) | node14(s240, s241))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19390,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s240, s241)) | node14(s240, s241))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19391,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s240, s241)) | node14(s240, s241)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 8.81/6.53 tff(19392,plain,
% 8.81/6.53 (node14(s240, s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19391, 46, 19348])).
% 8.81/6.53 tff(19393,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19394,plain,
% 8.81/6.53 (((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2)) <=> (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19395,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2))))),
% 8.81/6.53 inference(monotonicity,[status(thm)],[19394])).
% 8.81/6.53 tff(19396,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 8.81/6.53 inference(transitivity,[status(thm)],[19395, 19393])).
% 8.81/6.53 tff(19397,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19398,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19397, 19396])).
% 8.81/6.53 tff(19399,plain,
% 8.81/6.53 (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~m_main_v_state2(s240, c_c2))),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19398, 726, 19392])).
% 8.81/6.53 tff(19400,plain,
% 8.81/6.53 (m_main_v_state2(s241, c_n2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19399, 19388, 19333, 19384, 19380, 19376, 19372])).
% 8.81/6.53 tff(19401,plain,
% 8.81/6.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19402,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19403,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19402, 19401])).
% 8.81/6.53 tff(19404,plain,
% 8.81/6.53 (~m_main_v_state2(s241, c_t2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19403, 77, 19400])).
% 8.81/6.53 tff(19405,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s241, c_t2) | (~node15(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s241, c_t2) | (~node15(s241)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19406,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s241, c_t2) | (~node15(s241)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19407,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s241, c_t2) | (~node15(s241))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19406, 19405])).
% 8.81/6.53 tff(19408,plain,
% 8.81/6.53 (~node15(s241)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19407, 103, 19404])).
% 8.81/6.53 tff(19409,plain,
% 8.81/6.53 (succ(s241, s242) <=> succ(s241, s242)),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19410,axiom,(succ(s241, s242)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound242')).
% 8.81/6.53 tff(19411,plain,
% 8.81/6.53 (succ(s241, s242)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 8.81/6.53 tff(19412,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19413,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19414,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19413, 19412])).
% 8.81/6.53 tff(19415,plain,
% 8.81/6.53 (trans(s241, s242)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19414, 19411, 32])).
% 8.81/6.53 tff(19416,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s241, s242)) | node18(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s241, s242)) | node18(s241, s242))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19417,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s241, s242)) | node18(s241, s242))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19418,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s241, s242)) | node18(s241, s242)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 8.81/6.53 tff(19419,plain,
% 8.81/6.53 (node18(s241, s242)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19418, 125, 19415])).
% 8.81/6.53 tff(19420,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19421,plain,
% 8.81/6.53 (((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1)) <=> (node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19422,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)))),
% 8.81/6.53 inference(monotonicity,[status(thm)],[19421])).
% 8.81/6.53 tff(19423,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 8.81/6.53 inference(transitivity,[status(thm)],[19422, 19420])).
% 8.81/6.53 tff(19424,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19425,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 8.81/6.53 tff(19426,plain,
% 8.81/6.53 (node15(s241) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19425, 992, 19419])).
% 8.81/6.53 tff(19427,plain,
% 8.81/6.53 (m_main_v_turn(s242, c_1)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19426, 19408, 19400, 19364])).
% 8.81/6.53 tff(19428,plain,
% 8.81/6.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19429,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19430,plain,
% 8.81/6.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19429, 19428])).
% 8.81/6.53 tff(19431,plain,
% 8.81/6.53 (~m_main_v_turn(s242, c_2)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19430, 156, 19427])).
% 8.81/6.53 tff(19432,plain,
% 8.81/6.53 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s242, c_2) | (~node12(s242)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s242, c_2) | (~node12(s242)))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19433,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s242, c_2) | (~node12(s242)))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19434,plain,
% 8.81/6.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s242, c_2) | (~node12(s242))),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19433, 19432])).
% 8.81/6.53 tff(19435,plain,
% 8.81/6.53 (~node12(s242)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19434, 184, 19431])).
% 8.81/6.53 tff(19436,plain,
% 8.81/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s241, s242)) | node14(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s241, s242)) | node14(s241, s242))),
% 8.81/6.53 inference(rewrite,[status(thm)],[])).
% 8.81/6.53 tff(19437,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s241, s242)) | node14(s241, s242))),
% 8.81/6.53 inference(quant_inst,[status(thm)],[])).
% 8.81/6.53 tff(19438,plain,
% 8.81/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s241, s242)) | node14(s241, s242)),
% 8.81/6.53 inference(modus_ponens,[status(thm)],[19437, 19436])).
% 8.81/6.53 tff(19439,plain,
% 8.81/6.53 (node14(s241, s242)),
% 8.81/6.53 inference(unit_resolution,[status(thm)],[19438, 46, 19415])).
% 8.81/6.54 tff(19440,plain,
% 8.81/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19441,plain,
% 8.81/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19442,plain,
% 8.81/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2)),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 8.81/6.54 tff(19443,plain,
% 8.81/6.54 ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state2(s242, c_t2)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19442, 922, 19439])).
% 8.81/6.54 tff(19444,plain,
% 8.81/6.54 (m_main_v_state2(s242, c_t2)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19443, 19364, 19400])).
% 8.81/6.54 tff(19445,plain,
% 8.81/6.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19446,plain,
% 8.81/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19447,plain,
% 8.81/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2))),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19446, 19445])).
% 8.81/6.54 tff(19448,plain,
% 8.81/6.54 (~m_main_v_state2(s242, c_n2)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19447, 77, 19444])).
% 8.81/6.54 tff(19449,plain,
% 8.81/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s242, c_n2) | (~node8(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s242, c_n2) | (~node8(s242)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19450,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s242, c_n2) | (~node8(s242)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19451,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s242, c_n2) | (~node8(s242))),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19450, 19449])).
% 8.81/6.54 tff(19452,plain,
% 8.81/6.54 (~node8(s242)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19451, 271, 19448])).
% 8.81/6.54 tff(19453,plain,
% 8.81/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s242, c_n2) | (~node9(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s242, c_n2) | (~node9(s242)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19454,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s242, c_n2) | (~node9(s242)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19455,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s242, c_n2) | (~node9(s242))),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 8.81/6.54 tff(19456,plain,
% 8.81/6.54 (~node9(s242)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19455, 88, 19448])).
% 8.81/6.54 tff(19457,plain,
% 8.81/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s242, c_n2) | (~node10(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s242, c_n2) | (~node10(s242)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19458,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s242, c_n2) | (~node10(s242)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19459,plain,
% 8.81/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s242, c_n2) | (~node10(s242))),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 8.81/6.54 tff(19460,plain,
% 8.81/6.54 (~node10(s242)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19459, 249, 19448])).
% 8.81/6.54 tff(19461,plain,
% 8.81/6.54 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19462,plain,
% 8.81/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.81/6.54 tff(19463,plain,
% 8.81/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2))),
% 8.81/6.54 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 8.81/6.54 tff(19464,plain,
% 8.81/6.54 (~m_main_v_state2(s242, c_c2)),
% 8.81/6.54 inference(unit_resolution,[status(thm)],[19463, 260, 19444])).
% 8.81/6.54 tff(19465,plain,
% 8.81/6.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))),
% 8.81/6.54 inference(rewrite,[status(thm)],[])).
% 8.81/6.54 tff(19466,plain,
% 8.81/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))),
% 8.81/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19467,plain,
% 8.91/6.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 8.91/6.54 tff(19468,plain,
% 8.91/6.54 (~m_main_v_state2(s241, c_c2)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19467, 697, 19400])).
% 8.91/6.54 tff(19469,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s241, c_c2) | (~node3(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s241, c_c2) | (~node3(s241)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19470,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s241, c_c2) | (~node3(s241)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19471,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s241, c_c2) | (~node3(s241))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 8.91/6.54 tff(19472,plain,
% 8.91/6.54 (~node3(s241)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19471, 399, 19468])).
% 8.91/6.54 tff(19473,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19474,plain,
% 8.91/6.54 (((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1))) <=> (m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19475,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241))))),
% 8.91/6.54 inference(monotonicity,[status(thm)],[19474])).
% 8.91/6.54 tff(19476,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 8.91/6.54 inference(transitivity,[status(thm)],[19475, 19473])).
% 8.91/6.54 tff(19477,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19478,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19477, 19476])).
% 8.91/6.54 tff(19479,plain,
% 8.91/6.54 (~m_main_v_state1(s241, c_n1)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19478, 835, 19272, 19357])).
% 8.91/6.54 tff(19480,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s241, c_n1) | (~node2(s241)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s241, c_n1) | (~node2(s241)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19481,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s241, c_n1) | (~node2(s241)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19482,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s241, c_n1) | (~node2(s241))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19481, 19480])).
% 8.91/6.54 tff(19483,plain,
% 8.91/6.54 (~node2(s241)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19482, 787, 19479])).
% 8.91/6.54 tff(19484,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s241, c_t2) | (~node1(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s241, c_t2) | (~node1(s241)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19485,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s241, c_t2) | (~node1(s241)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19486,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s241, c_t2) | (~node1(s241))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19485, 19484])).
% 8.91/6.54 tff(19487,plain,
% 8.91/6.54 (~node1(s241)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19486, 195, 19404])).
% 8.91/6.54 tff(19488,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s241, s242)) | node7(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s241, s242)) | node7(s241, s242))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19489,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s241, s242)) | node7(s241, s242))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19490,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s241, s242)) | node7(s241, s242)),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19489, 19488])).
% 8.91/6.54 tff(19491,plain,
% 8.91/6.54 (node7(s241, s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19490, 206, 19415])).
% 8.91/6.54 tff(19492,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19493,plain,
% 8.91/6.54 (((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1)) <=> ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19494,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242))))),
% 8.91/6.54 inference(monotonicity,[status(thm)],[19493])).
% 8.91/6.54 tff(19495,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 8.91/6.54 inference(transitivity,[status(thm)],[19494, 19492])).
% 8.91/6.54 tff(19496,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19497,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 8.91/6.54 tff(19498,plain,
% 8.91/6.54 ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19497, 892, 19491])).
% 8.91/6.54 tff(19499,plain,
% 8.91/6.54 (m_main_v_state1(s242, c_c1)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19498, 19487, 19400, 19364, 19483, 19472])).
% 8.91/6.54 tff(19500,plain,
% 8.91/6.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19501,plain,
% 8.91/6.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19502,plain,
% 8.91/6.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 8.91/6.54 tff(19503,plain,
% 8.91/6.54 (~m_main_v_state1(s242, c_n1)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19502, 454, 19499])).
% 8.91/6.54 tff(19504,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s242, c_n1) | (~node11(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s242, c_n1) | (~node11(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19505,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s242, c_n1) | (~node11(s242)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19506,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s242, c_n1) | (~node11(s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 8.91/6.54 tff(19507,plain,
% 8.91/6.54 (~node11(s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19506, 238, 19503])).
% 8.91/6.54 tff(19508,plain,
% 8.91/6.54 (succ(s242, s243) <=> succ(s242, s243)),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19509,axiom,(succ(s242, s243)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound243')).
% 8.91/6.54 tff(19510,plain,
% 8.91/6.54 (succ(s242, s243)),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 8.91/6.54 tff(19511,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19512,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19513,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 8.91/6.54 tff(19514,plain,
% 8.91/6.54 (trans(s242, s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19513, 19510, 32])).
% 8.91/6.54 tff(19515,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s242, s243)) | node14(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s242, s243)) | node14(s242, s243))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19516,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s242, s243)) | node14(s242, s243))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19517,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s242, s243)) | node14(s242, s243)),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 8.91/6.54 tff(19518,plain,
% 8.91/6.54 (node14(s242, s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19517, 46, 19514])).
% 8.91/6.54 tff(19519,plain,
% 8.91/6.54 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19520,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19521,plain,
% 8.91/6.54 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 8.91/6.54 tff(19522,plain,
% 8.91/6.54 (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19521, 296, 19518])).
% 8.91/6.54 tff(19523,plain,
% 8.91/6.54 (node13(s242, s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19522, 19507, 19464, 19460, 19456, 19452, 19435])).
% 8.91/6.54 tff(19524,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19525,plain,
% 8.91/6.54 (((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2))) <=> (m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19526,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243))))),
% 8.91/6.54 inference(monotonicity,[status(thm)],[19525])).
% 8.91/6.54 tff(19527,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 8.91/6.54 inference(transitivity,[status(thm)],[19526, 19524])).
% 8.91/6.54 tff(19528,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19529,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 8.91/6.54 tff(19530,plain,
% 8.91/6.54 (~m_main_v_state2(s243, c_n2)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19529, 311, 19448, 19523])).
% 8.91/6.54 tff(19531,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s243, c_n2) | (~node9(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s243, c_n2) | (~node9(s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19532,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s243, c_n2) | (~node9(s243)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19533,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s243, c_n2) | (~node9(s243))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 8.91/6.54 tff(19534,plain,
% 8.91/6.54 (~node9(s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19533, 88, 19530])).
% 8.91/6.54 tff(19535,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s243, c_n2) | (~node10(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s243, c_n2) | (~node10(s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19536,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s243, c_n2) | (~node10(s243)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19537,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s243, c_n2) | (~node10(s243))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19536, 19535])).
% 8.91/6.54 tff(19538,plain,
% 8.91/6.54 (~node10(s243)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19537, 249, 19530])).
% 8.91/6.54 tff(19539,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19540,plain,
% 8.91/6.54 (((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2)) <=> ((~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19541,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243))))),
% 8.91/6.54 inference(monotonicity,[status(thm)],[19540])).
% 8.91/6.54 tff(19542,plain,
% 8.91/6.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 8.91/6.54 inference(transitivity,[status(thm)],[19541, 19539])).
% 8.91/6.54 tff(19543,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19544,plain,
% 8.91/6.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19543, 19542])).
% 8.91/6.54 tff(19545,plain,
% 8.91/6.54 (m_main_v_state2(s243, c_t2)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19544, 518, 19444, 19523])).
% 8.91/6.54 tff(19546,plain,
% 8.91/6.54 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19547,plain,
% 8.91/6.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19548,plain,
% 8.91/6.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 8.91/6.54 tff(19549,plain,
% 8.91/6.54 (~m_main_v_state1(s242, c_t1)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19548, 539, 19499])).
% 8.91/6.54 tff(19550,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s242, c_t1) | (~node5(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s242, c_t1) | (~node5(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19551,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s242, c_t1) | (~node5(s242)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19552,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s242, c_t1) | (~node5(s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 8.91/6.54 tff(19553,plain,
% 8.91/6.54 (~node5(s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19552, 550, 19549])).
% 8.91/6.54 tff(19554,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s242, c_n2) | (~node4(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s242, c_n2) | (~node4(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19555,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s242, c_n2) | (~node4(s242)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19556,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s242, c_n2) | (~node4(s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19555, 19554])).
% 8.91/6.54 tff(19557,plain,
% 8.91/6.54 (~node4(s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19556, 388, 19448])).
% 8.91/6.54 tff(19558,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s242, c_c2) | (~node3(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s242, c_c2) | (~node3(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19559,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s242, c_c2) | (~node3(s242)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19560,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s242, c_c2) | (~node3(s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 8.91/6.54 tff(19561,plain,
% 8.91/6.54 (~node3(s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19560, 399, 19464])).
% 8.91/6.54 tff(19562,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s242, c_n2) | (~node2(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s242, c_n2) | (~node2(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.54 tff(19563,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s242, c_n2) | (~node2(s242)))),
% 8.91/6.54 inference(quant_inst,[status(thm)],[])).
% 8.91/6.54 tff(19564,plain,
% 8.91/6.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s242, c_n2) | (~node2(s242))),
% 8.91/6.54 inference(modus_ponens,[status(thm)],[19563, 19562])).
% 8.91/6.54 tff(19565,plain,
% 8.91/6.54 (~node2(s242)),
% 8.91/6.54 inference(unit_resolution,[status(thm)],[19564, 410, 19448])).
% 8.91/6.54 tff(19566,plain,
% 8.91/6.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s242, c_n1) | (~node1(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s242, c_n1) | (~node1(s242)))),
% 8.91/6.54 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19567,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s242, c_n1) | (~node1(s242)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19568,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s242, c_n1) | (~node1(s242))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 8.91/6.55 tff(19569,plain,
% 8.91/6.55 (~node1(s242)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19568, 421, 19503])).
% 8.91/6.55 tff(19570,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s242, s243)) | node7(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s242, s243)) | node7(s242, s243))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19571,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s242, s243)) | node7(s242, s243))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19572,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s242, s243)) | node7(s242, s243)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19571, 19570])).
% 8.91/6.55 tff(19573,plain,
% 8.91/6.55 (node7(s242, s243)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19572, 206, 19514])).
% 8.91/6.55 tff(19574,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19575,plain,
% 8.91/6.55 (((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1)) <=> (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19576,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243))))),
% 8.91/6.55 inference(monotonicity,[status(thm)],[19575])).
% 8.91/6.55 tff(19577,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 8.91/6.55 inference(transitivity,[status(thm)],[19576, 19574])).
% 8.91/6.55 tff(19578,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19579,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19578, 19577])).
% 8.91/6.55 tff(19580,plain,
% 8.91/6.55 (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19579, 584, 19573])).
% 8.91/6.55 tff(19581,plain,
% 8.91/6.55 (m_main_v_state1(s243, c_n1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19580, 19569, 19499, 19565, 19561, 19557, 19553])).
% 8.91/6.55 tff(19582,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s243, c_n2) | (~node8(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s243, c_n2) | (~node8(s243)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19583,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s243, c_n2) | (~node8(s243)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19584,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s243, c_n2) | (~node8(s243))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 8.91/6.55 tff(19585,plain,
% 8.91/6.55 (~node8(s243)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19584, 271, 19530])).
% 8.91/6.55 tff(19586,plain,
% 8.91/6.55 (succ(s243, s244) <=> succ(s243, s244)),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19587,axiom,(succ(s243, s244)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound244')).
% 8.91/6.55 tff(19588,plain,
% 8.91/6.55 (succ(s243, s244)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 8.91/6.55 tff(19589,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19590,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19591,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19590, 19589])).
% 8.91/6.55 tff(19592,plain,
% 8.91/6.55 (trans(s243, s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19591, 19588, 32])).
% 8.91/6.55 tff(19593,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s243, s244)) | node14(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s243, s244)) | node14(s243, s244))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19594,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s243, s244)) | node14(s243, s244))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19595,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s243, s244)) | node14(s243, s244)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19594, 19593])).
% 8.91/6.55 tff(19596,plain,
% 8.91/6.55 (node14(s243, s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19595, 46, 19592])).
% 8.91/6.55 tff(19597,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19598,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19599,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19598, 19597])).
% 8.91/6.55 tff(19600,plain,
% 8.91/6.55 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | m_main_v_state2(s244, c_c2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19599, 617, 19596])).
% 8.91/6.55 tff(19601,plain,
% 8.91/6.55 (m_main_v_state2(s244, c_c2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19600, 19585, 19581, 19545, 19538, 19534])).
% 8.91/6.55 tff(19602,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19603,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19604,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 8.91/6.55 tff(19605,plain,
% 8.91/6.55 (~m_main_v_state2(s244, c_t2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19604, 260, 19601])).
% 8.91/6.55 tff(19606,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s244, c_t2) | (~node12(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s244, c_t2) | (~node12(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19607,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s244, c_t2) | (~node12(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19608,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s244, c_t2) | (~node12(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19607, 19606])).
% 8.91/6.55 tff(19609,plain,
% 8.91/6.55 (~node12(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19608, 633, 19605])).
% 8.91/6.55 tff(19610,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s243, s244)) | node7(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s243, s244)) | node7(s243, s244))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19611,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s243, s244)) | node7(s243, s244))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19612,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s243, s244)) | node7(s243, s244)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 8.91/6.55 tff(19613,plain,
% 8.91/6.55 (node7(s243, s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19612, 206, 19592])).
% 8.91/6.55 tff(19614,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19615,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19616,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19615, 19614])).
% 8.91/6.55 tff(19617,plain,
% 8.91/6.55 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_state1(s244, c_t1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19616, 651, 19613])).
% 8.91/6.55 tff(19618,plain,
% 8.91/6.55 (m_main_v_state1(s244, c_t1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19617, 19545, 19581])).
% 8.91/6.55 tff(19619,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19620,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19621,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19620, 19619])).
% 8.91/6.55 tff(19622,plain,
% 8.91/6.55 (~m_main_v_state1(s244, c_n1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19621, 10, 19618])).
% 8.91/6.55 tff(19623,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s244, c_n1) | (~node11(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s244, c_n1) | (~node11(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19624,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s244, c_n1) | (~node11(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19625,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s244, c_n1) | (~node11(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19624, 19623])).
% 8.91/6.55 tff(19626,plain,
% 8.91/6.55 (~node11(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19625, 238, 19622])).
% 8.91/6.55 tff(19627,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19628,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19629,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19628, 19627])).
% 8.91/6.55 tff(19630,plain,
% 8.91/6.55 (~m_main_v_state1(s244, c_c1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19629, 539, 19618])).
% 8.91/6.55 tff(19631,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s244, c_c1) | (~node10(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s244, c_c1) | (~node10(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19632,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s244, c_c1) | (~node10(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19633,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s244, c_c1) | (~node10(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 8.91/6.55 tff(19634,plain,
% 8.91/6.55 (~node10(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19633, 675, 19630])).
% 8.91/6.55 tff(19635,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s244, c_n1) | (~node9(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s244, c_n1) | (~node9(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19636,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s244, c_n1) | (~node9(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19637,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s244, c_n1) | (~node9(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 8.91/6.55 tff(19638,plain,
% 8.91/6.55 (~node9(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19637, 686, 19622])).
% 8.91/6.55 tff(19639,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19640,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19641,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 8.91/6.55 tff(19642,plain,
% 8.91/6.55 (~m_main_v_state2(s244, c_n2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19641, 697, 19601])).
% 8.91/6.55 tff(19643,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s244, c_n2) | (~node8(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s244, c_n2) | (~node8(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19644,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s244, c_n2) | (~node8(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19645,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s244, c_n2) | (~node8(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 8.91/6.55 tff(19646,plain,
% 8.91/6.55 (~node8(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19645, 271, 19642])).
% 8.91/6.55 tff(19647,plain,
% 8.91/6.55 (succ(s244, s245) <=> succ(s244, s245)),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19648,axiom,(succ(s244, s245)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound245')).
% 8.91/6.55 tff(19649,plain,
% 8.91/6.55 (succ(s244, s245)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 8.91/6.55 tff(19650,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19651,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19652,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 8.91/6.55 tff(19653,plain,
% 8.91/6.55 (trans(s244, s245)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19652, 19649, 32])).
% 8.91/6.55 tff(19654,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s244, s245)) | node14(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s244, s245)) | node14(s244, s245))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19655,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s244, s245)) | node14(s244, s245))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19656,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s244, s245)) | node14(s244, s245)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19655, 19654])).
% 8.91/6.55 tff(19657,plain,
% 8.91/6.55 (node14(s244, s245)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19656, 46, 19653])).
% 8.91/6.55 tff(19658,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19659,plain,
% 8.91/6.55 (((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2)) <=> (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19660,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2))))),
% 8.91/6.55 inference(monotonicity,[status(thm)],[19659])).
% 8.91/6.55 tff(19661,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 8.91/6.55 inference(transitivity,[status(thm)],[19660, 19658])).
% 8.91/6.55 tff(19662,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19663,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 8.91/6.55 tff(19664,plain,
% 8.91/6.55 (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~m_main_v_state2(s244, c_c2))),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19663, 726, 19657])).
% 8.91/6.55 tff(19665,plain,
% 8.91/6.55 (m_main_v_state2(s245, c_n2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19664, 19646, 19601, 19638, 19634, 19626, 19609])).
% 8.91/6.55 tff(19666,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19667,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19668,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19667, 19666])).
% 8.91/6.55 tff(19669,plain,
% 8.91/6.55 (~m_main_v_state2(s245, c_c2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19668, 697, 19665])).
% 8.91/6.55 tff(19670,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s245, c_c2) | (~node3(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s245, c_c2) | (~node3(s245)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19671,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s245, c_c2) | (~node3(s245)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19672,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s245, c_c2) | (~node3(s245))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19671, 19670])).
% 8.91/6.55 tff(19673,plain,
% 8.91/6.55 (~node3(s245)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19672, 399, 19669])).
% 8.91/6.55 tff(19674,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s244, c_n1) | (~node1(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s244, c_n1) | (~node1(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19675,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s244, c_n1) | (~node1(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19676,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s244, c_n1) | (~node1(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 8.91/6.55 tff(19677,plain,
% 8.91/6.55 (~node1(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19676, 421, 19622])).
% 8.91/6.55 tff(19678,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s243, s244)) | node18(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s243, s244)) | node18(s243, s244))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19679,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s243, s244)) | node18(s243, s244))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19680,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s243, s244)) | node18(s243, s244)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19679, 19678])).
% 8.91/6.55 tff(19681,plain,
% 8.91/6.55 (node18(s243, s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19680, 125, 19592])).
% 8.91/6.55 tff(19682,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19683,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19684,plain,
% 8.91/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2)),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19683, 19682])).
% 8.91/6.55 tff(19685,plain,
% 8.91/6.55 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_turn(s244, c_2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19684, 760, 19681])).
% 8.91/6.55 tff(19686,plain,
% 8.91/6.55 (m_main_v_turn(s244, c_2)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19685, 19545, 19581])).
% 8.91/6.55 tff(19687,plain,
% 8.91/6.55 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19688,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19689,plain,
% 8.91/6.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 8.91/6.55 tff(19690,plain,
% 8.91/6.55 (~m_main_v_turn(s244, c_1)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19689, 156, 19686])).
% 8.91/6.55 tff(19691,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s244, c_1) | (~node5(s244)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s244, c_1) | (~node5(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19692,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s244, c_1) | (~node5(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19693,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s244, c_1) | (~node5(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 8.91/6.55 tff(19694,plain,
% 8.91/6.55 (~node5(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19693, 776, 19690])).
% 8.91/6.55 tff(19695,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s244, c_n1) | (~node2(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s244, c_n1) | (~node2(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19696,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s244, c_n1) | (~node2(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19697,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s244, c_n1) | (~node2(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 8.91/6.55 tff(19698,plain,
% 8.91/6.55 (~node2(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19697, 787, 19622])).
% 8.91/6.55 tff(19699,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s244, c_n1) | (~node3(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s244, c_n1) | (~node3(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19700,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s244, c_n1) | (~node3(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19701,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s244, c_n1) | (~node3(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 8.91/6.55 tff(19702,plain,
% 8.91/6.55 (~node3(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19701, 798, 19622])).
% 8.91/6.55 tff(19703,plain,
% 8.91/6.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s244, c_n2) | (~node4(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s244, c_n2) | (~node4(s244)))),
% 8.91/6.55 inference(rewrite,[status(thm)],[])).
% 8.91/6.55 tff(19704,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s244, c_n2) | (~node4(s244)))),
% 8.91/6.55 inference(quant_inst,[status(thm)],[])).
% 8.91/6.55 tff(19705,plain,
% 8.91/6.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s244, c_n2) | (~node4(s244))),
% 8.91/6.55 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 8.91/6.55 tff(19706,plain,
% 8.91/6.55 (~node4(s244)),
% 8.91/6.55 inference(unit_resolution,[status(thm)],[19705, 388, 19642])).
% 8.91/6.55 tff(19707,plain,
% 8.91/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s244, s245)) | node7(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s244, s245)) | node7(s244, s245))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19708,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s244, s245)) | node7(s244, s245))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19709,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s244, s245)) | node7(s244, s245)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 8.91/6.56 tff(19710,plain,
% 8.91/6.56 (node7(s244, s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19709, 206, 19653])).
% 8.91/6.56 tff(19711,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19712,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19713,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 8.91/6.56 tff(19714,plain,
% 8.91/6.56 (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19713, 820, 19710])).
% 8.91/6.56 tff(19715,plain,
% 8.91/6.56 (node6(s244, s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19714, 19706, 19630, 19702, 19698, 19694, 19677])).
% 8.91/6.56 tff(19716,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19717,plain,
% 8.91/6.56 (((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1))) <=> (m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19718,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245))))),
% 8.91/6.56 inference(monotonicity,[status(thm)],[19717])).
% 8.91/6.56 tff(19719,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 8.91/6.56 inference(transitivity,[status(thm)],[19718, 19716])).
% 8.91/6.56 tff(19720,plain,
% 8.91/6.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19721,plain,
% 8.91/6.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19720, 19719])).
% 8.91/6.56 tff(19722,plain,
% 8.91/6.56 (~m_main_v_state1(s245, c_n1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19721, 835, 19622, 19715])).
% 8.91/6.56 tff(19723,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s245, c_n1) | (~node2(s245)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s245, c_n1) | (~node2(s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19724,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s245, c_n1) | (~node2(s245)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19725,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s245, c_n1) | (~node2(s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 8.91/6.56 tff(19726,plain,
% 8.91/6.56 (~node2(s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19725, 787, 19722])).
% 8.91/6.56 tff(19727,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19728,plain,
% 8.91/6.56 (((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1)) <=> ((~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19729,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245))))),
% 8.91/6.56 inference(monotonicity,[status(thm)],[19728])).
% 8.91/6.56 tff(19730,plain,
% 8.91/6.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 8.91/6.56 inference(transitivity,[status(thm)],[19729, 19727])).
% 8.91/6.56 tff(19731,plain,
% 8.91/6.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19732,plain,
% 8.91/6.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 8.91/6.56 tff(19733,plain,
% 8.91/6.56 (m_main_v_state1(s245, c_t1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19732, 856, 19618, 19715])).
% 8.91/6.56 tff(19734,plain,
% 8.91/6.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19735,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19736,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19735, 19734])).
% 8.91/6.56 tff(19737,plain,
% 8.91/6.56 (~m_main_v_state2(s245, c_t2)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19736, 77, 19665])).
% 8.91/6.56 tff(19738,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s245, c_t2) | (~node1(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s245, c_t2) | (~node1(s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19739,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s245, c_t2) | (~node1(s245)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19740,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s245, c_t2) | (~node1(s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 8.91/6.56 tff(19741,plain,
% 8.91/6.56 (~node1(s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19740, 195, 19737])).
% 8.91/6.56 tff(19742,plain,
% 8.91/6.56 (succ(s245, s246) <=> succ(s245, s246)),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19743,axiom,(succ(s245, s246)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound246')).
% 8.91/6.56 tff(19744,plain,
% 8.91/6.56 (succ(s245, s246)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19743, 19742])).
% 8.91/6.56 tff(19745,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19746,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19747,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19746, 19745])).
% 8.91/6.56 tff(19748,plain,
% 8.91/6.56 (trans(s245, s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19747, 19744, 32])).
% 8.91/6.56 tff(19749,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s245, s246)) | node7(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s245, s246)) | node7(s245, s246))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19750,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s245, s246)) | node7(s245, s246))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19751,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s245, s246)) | node7(s245, s246)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 8.91/6.56 tff(19752,plain,
% 8.91/6.56 (node7(s245, s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19751, 206, 19748])).
% 8.91/6.56 tff(19753,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19754,plain,
% 8.91/6.56 (((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1)) <=> ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19755,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246))))),
% 8.91/6.56 inference(monotonicity,[status(thm)],[19754])).
% 8.91/6.56 tff(19756,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 8.91/6.56 inference(transitivity,[status(thm)],[19755, 19753])).
% 8.91/6.56 tff(19757,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19758,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 8.91/6.56 tff(19759,plain,
% 8.91/6.56 ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19758, 892, 19752])).
% 8.91/6.56 tff(19760,plain,
% 8.91/6.56 (m_main_v_state1(s246, c_c1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19759, 19741, 19665, 19733, 19726, 19673])).
% 8.91/6.56 tff(19761,plain,
% 8.91/6.56 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19762,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19763,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 8.91/6.56 tff(19764,plain,
% 8.91/6.56 (~m_main_v_state1(s246, c_t1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19763, 539, 19760])).
% 8.91/6.56 tff(19765,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s246, c_t1) | (~node5(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s246, c_t1) | (~node5(s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19766,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s246, c_t1) | (~node5(s246)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19767,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s246, c_t1) | (~node5(s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 8.91/6.56 tff(19768,plain,
% 8.91/6.56 (~node5(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19767, 550, 19764])).
% 8.91/6.56 tff(19769,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s245, s246)) | node14(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s245, s246)) | node14(s245, s246))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19770,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s245, s246)) | node14(s245, s246))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19771,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s245, s246)) | node14(s245, s246)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 8.91/6.56 tff(19772,plain,
% 8.91/6.56 (node14(s245, s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19771, 46, 19748])).
% 8.91/6.56 tff(19773,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19774,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19775,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 8.91/6.56 tff(19776,plain,
% 8.91/6.56 ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state2(s246, c_t2)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19775, 922, 19772])).
% 8.91/6.56 tff(19777,plain,
% 8.91/6.56 (m_main_v_state2(s246, c_t2)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19776, 19733, 19665])).
% 8.91/6.56 tff(19778,plain,
% 8.91/6.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19779,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19780,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19779, 19778])).
% 8.91/6.56 tff(19781,plain,
% 8.91/6.56 (~m_main_v_state2(s246, c_n2)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19780, 77, 19777])).
% 8.91/6.56 tff(19782,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s246, c_n2) | (~node4(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s246, c_n2) | (~node4(s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19783,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s246, c_n2) | (~node4(s246)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19784,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s246, c_n2) | (~node4(s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 8.91/6.56 tff(19785,plain,
% 8.91/6.56 (~node4(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19784, 388, 19781])).
% 8.91/6.56 tff(19786,plain,
% 8.91/6.56 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19787,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19788,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 8.91/6.56 tff(19789,plain,
% 8.91/6.56 (~m_main_v_state2(s246, c_c2)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19788, 260, 19777])).
% 8.91/6.56 tff(19790,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s246, c_c2) | (~node3(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s246, c_c2) | (~node3(s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19791,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s246, c_c2) | (~node3(s246)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19792,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s246, c_c2) | (~node3(s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19791, 19790])).
% 8.91/6.56 tff(19793,plain,
% 8.91/6.56 (~node3(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19792, 399, 19789])).
% 8.91/6.56 tff(19794,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s246, c_n2) | (~node2(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s246, c_n2) | (~node2(s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19795,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s246, c_n2) | (~node2(s246)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19796,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s246, c_n2) | (~node2(s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 8.91/6.56 tff(19797,plain,
% 8.91/6.56 (~node2(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19796, 410, 19781])).
% 8.91/6.56 tff(19798,plain,
% 8.91/6.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19799,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19800,plain,
% 8.91/6.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19799, 19798])).
% 8.91/6.56 tff(19801,plain,
% 8.91/6.56 (~m_main_v_state1(s246, c_n1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19800, 454, 19760])).
% 8.91/6.56 tff(19802,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s246, c_n1) | (~node1(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s246, c_n1) | (~node1(s246)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19803,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s246, c_n1) | (~node1(s246)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19804,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s246, c_n1) | (~node1(s246))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 8.91/6.56 tff(19805,plain,
% 8.91/6.56 (~node1(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19804, 421, 19801])).
% 8.91/6.56 tff(19806,plain,
% 8.91/6.56 (succ(s246, s247) <=> succ(s246, s247)),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19807,axiom,(succ(s246, s247)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound247')).
% 8.91/6.56 tff(19808,plain,
% 8.91/6.56 (succ(s246, s247)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 8.91/6.56 tff(19809,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19810,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19811,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19810, 19809])).
% 8.91/6.56 tff(19812,plain,
% 8.91/6.56 (trans(s246, s247)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19811, 19808, 32])).
% 8.91/6.56 tff(19813,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s246, s247)) | node7(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s246, s247)) | node7(s246, s247))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19814,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s246, s247)) | node7(s246, s247))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19815,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s246, s247)) | node7(s246, s247)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 8.91/6.56 tff(19816,plain,
% 8.91/6.56 (node7(s246, s247)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19815, 206, 19812])).
% 8.91/6.56 tff(19817,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19818,plain,
% 8.91/6.56 (((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1)) <=> (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19819,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247))))),
% 8.91/6.56 inference(monotonicity,[status(thm)],[19818])).
% 8.91/6.56 tff(19820,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 8.91/6.56 inference(transitivity,[status(thm)],[19819, 19817])).
% 8.91/6.56 tff(19821,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19822,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 8.91/6.56 tff(19823,plain,
% 8.91/6.56 (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19822, 584, 19816])).
% 8.91/6.56 tff(19824,plain,
% 8.91/6.56 (m_main_v_state1(s247, c_n1)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19823, 19805, 19760, 19797, 19793, 19785, 19768])).
% 8.91/6.56 tff(19825,plain,
% 8.91/6.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s245, c_t2) | (~node15(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s245, c_t2) | (~node15(s245)))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19826,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s245, c_t2) | (~node15(s245)))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19827,plain,
% 8.91/6.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s245, c_t2) | (~node15(s245))),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 8.91/6.56 tff(19828,plain,
% 8.91/6.56 (~node15(s245)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19827, 103, 19737])).
% 8.91/6.56 tff(19829,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s245, s246)) | node18(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s245, s246)) | node18(s245, s246))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19830,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s245, s246)) | node18(s245, s246))),
% 8.91/6.56 inference(quant_inst,[status(thm)],[])).
% 8.91/6.56 tff(19831,plain,
% 8.91/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s245, s246)) | node18(s245, s246)),
% 8.91/6.56 inference(modus_ponens,[status(thm)],[19830, 19829])).
% 8.91/6.56 tff(19832,plain,
% 8.91/6.56 (node18(s245, s246)),
% 8.91/6.56 inference(unit_resolution,[status(thm)],[19831, 125, 19748])).
% 8.91/6.56 tff(19833,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19834,plain,
% 8.91/6.56 (((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1)) <=> (node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 8.91/6.56 inference(rewrite,[status(thm)],[])).
% 8.91/6.56 tff(19835,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)))),
% 8.91/6.56 inference(monotonicity,[status(thm)],[19834])).
% 8.91/6.56 tff(19836,plain,
% 8.91/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 8.91/6.57 inference(transitivity,[status(thm)],[19835, 19833])).
% 8.91/6.57 tff(19837,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19838,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 8.91/6.57 tff(19839,plain,
% 8.91/6.57 (node15(s245) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19838, 992, 19832])).
% 8.91/6.57 tff(19840,plain,
% 8.91/6.57 (m_main_v_turn(s246, c_1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19839, 19828, 19665, 19733])).
% 8.91/6.57 tff(19841,plain,
% 8.91/6.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19842,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19843,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19842, 19841])).
% 8.91/6.57 tff(19844,plain,
% 8.91/6.57 (~m_main_v_turn(s246, c_2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19843, 156, 19840])).
% 8.91/6.57 tff(19845,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s246, c_2) | (~node12(s246)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s246, c_2) | (~node12(s246)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19846,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s246, c_2) | (~node12(s246)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19847,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s246, c_2) | (~node12(s246))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 8.91/6.57 tff(19848,plain,
% 8.91/6.57 (~node12(s246)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19847, 184, 19844])).
% 8.91/6.57 tff(19849,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s246, c_n2) | (~node8(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s246, c_n2) | (~node8(s246)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19850,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s246, c_n2) | (~node8(s246)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19851,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s246, c_n2) | (~node8(s246))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19850, 19849])).
% 8.91/6.57 tff(19852,plain,
% 8.91/6.57 (~node8(s246)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19851, 271, 19781])).
% 8.91/6.57 tff(19853,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s246, c_n2) | (~node9(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s246, c_n2) | (~node9(s246)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19854,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s246, c_n2) | (~node9(s246)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19855,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s246, c_n2) | (~node9(s246))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 8.91/6.57 tff(19856,plain,
% 8.91/6.57 (~node9(s246)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19855, 88, 19781])).
% 8.91/6.57 tff(19857,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s246, c_n2) | (~node10(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s246, c_n2) | (~node10(s246)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19858,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s246, c_n2) | (~node10(s246)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19859,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s246, c_n2) | (~node10(s246))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19858, 19857])).
% 8.91/6.57 tff(19860,plain,
% 8.91/6.57 (~node10(s246)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19859, 249, 19781])).
% 8.91/6.57 tff(19861,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s246, c_n1) | (~node11(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s246, c_n1) | (~node11(s246)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19862,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s246, c_n1) | (~node11(s246)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19863,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s246, c_n1) | (~node11(s246))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19862, 19861])).
% 8.91/6.57 tff(19864,plain,
% 8.91/6.57 (~node11(s246)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19863, 238, 19801])).
% 8.91/6.57 tff(19865,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s246, s247)) | node14(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s246, s247)) | node14(s246, s247))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19866,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s246, s247)) | node14(s246, s247))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19867,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s246, s247)) | node14(s246, s247)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19866, 19865])).
% 8.91/6.57 tff(19868,plain,
% 8.91/6.57 (node14(s246, s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19867, 46, 19812])).
% 8.91/6.57 tff(19869,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19870,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19871,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19870, 19869])).
% 8.91/6.57 tff(19872,plain,
% 8.91/6.57 (m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19871, 296, 19868])).
% 8.91/6.57 tff(19873,plain,
% 8.91/6.57 (node13(s246, s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19872, 19864, 19789, 19860, 19856, 19852, 19848])).
% 8.91/6.57 tff(19874,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19875,plain,
% 8.91/6.57 (((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2)) <=> ((~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19876,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247))))),
% 8.91/6.57 inference(monotonicity,[status(thm)],[19875])).
% 8.91/6.57 tff(19877,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 8.91/6.57 inference(transitivity,[status(thm)],[19876, 19874])).
% 8.91/6.57 tff(19878,plain,
% 8.91/6.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19879,plain,
% 8.91/6.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 8.91/6.57 tff(19880,plain,
% 8.91/6.57 (m_main_v_state2(s247, c_t2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19879, 518, 19777, 19873])).
% 8.91/6.57 tff(19881,plain,
% 8.91/6.57 (succ(s247, s248) <=> succ(s247, s248)),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19882,axiom,(succ(s247, s248)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound248')).
% 8.91/6.57 tff(19883,plain,
% 8.91/6.57 (succ(s247, s248)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 8.91/6.57 tff(19884,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19885,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19886,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 8.91/6.57 tff(19887,plain,
% 8.91/6.57 (trans(s247, s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19886, 19883, 32])).
% 8.91/6.57 tff(19888,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s247, s248)) | node7(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s247, s248)) | node7(s247, s248))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19889,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s247, s248)) | node7(s247, s248))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19890,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s247, s248)) | node7(s247, s248)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19889, 19888])).
% 8.91/6.57 tff(19891,plain,
% 8.91/6.57 (node7(s247, s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19890, 206, 19887])).
% 8.91/6.57 tff(19892,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19893,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19894,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19893, 19892])).
% 8.91/6.57 tff(19895,plain,
% 8.91/6.57 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_state1(s248, c_t1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19894, 651, 19891])).
% 8.91/6.57 tff(19896,plain,
% 8.91/6.57 (m_main_v_state1(s248, c_t1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19895, 19880, 19824])).
% 8.91/6.57 tff(19897,plain,
% 8.91/6.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19898,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19899,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 8.91/6.57 tff(19900,plain,
% 8.91/6.57 (~m_main_v_state1(s248, c_n1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19899, 10, 19896])).
% 8.91/6.57 tff(19901,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s248, c_n1) | (~node1(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s248, c_n1) | (~node1(s248)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19902,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s248, c_n1) | (~node1(s248)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19903,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s248, c_n1) | (~node1(s248))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 8.91/6.57 tff(19904,plain,
% 8.91/6.57 (~node1(s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19903, 421, 19900])).
% 8.91/6.57 tff(19905,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s247, s248)) | node18(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s247, s248)) | node18(s247, s248))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19906,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s247, s248)) | node18(s247, s248))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19907,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s247, s248)) | node18(s247, s248)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 8.91/6.57 tff(19908,plain,
% 8.91/6.57 (node18(s247, s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19907, 125, 19887])).
% 8.91/6.57 tff(19909,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19910,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19911,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 8.91/6.57 tff(19912,plain,
% 8.91/6.57 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_turn(s248, c_2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19911, 760, 19908])).
% 8.91/6.57 tff(19913,plain,
% 8.91/6.57 (m_main_v_turn(s248, c_2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19912, 19880, 19824])).
% 8.91/6.57 tff(19914,plain,
% 8.91/6.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19915,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19916,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 8.91/6.57 tff(19917,plain,
% 8.91/6.57 (~m_main_v_turn(s248, c_1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19916, 156, 19913])).
% 8.91/6.57 tff(19918,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s248, c_1) | (~node5(s248)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s248, c_1) | (~node5(s248)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19919,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s248, c_1) | (~node5(s248)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19920,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s248, c_1) | (~node5(s248))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 8.91/6.57 tff(19921,plain,
% 8.91/6.57 (~node5(s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19920, 776, 19917])).
% 8.91/6.57 tff(19922,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s248, c_n1) | (~node2(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s248, c_n1) | (~node2(s248)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19923,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s248, c_n1) | (~node2(s248)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19924,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s248, c_n1) | (~node2(s248))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19923, 19922])).
% 8.91/6.57 tff(19925,plain,
% 8.91/6.57 (~node2(s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19924, 787, 19900])).
% 8.91/6.57 tff(19926,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s248, c_n1) | (~node3(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s248, c_n1) | (~node3(s248)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19927,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s248, c_n1) | (~node3(s248)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19928,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s248, c_n1) | (~node3(s248))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 8.91/6.57 tff(19929,plain,
% 8.91/6.57 (~node3(s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19928, 798, 19900])).
% 8.91/6.57 tff(19930,plain,
% 8.91/6.57 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19931,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19932,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19931, 19930])).
% 8.91/6.57 tff(19933,plain,
% 8.91/6.57 (~m_main_v_state1(s248, c_c1)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19932, 539, 19896])).
% 8.91/6.57 tff(19934,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19935,plain,
% 8.91/6.57 (((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2))) <=> (m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19936,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247))))),
% 8.91/6.57 inference(monotonicity,[status(thm)],[19935])).
% 8.91/6.57 tff(19937,plain,
% 8.91/6.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 8.91/6.57 inference(transitivity,[status(thm)],[19936, 19934])).
% 8.91/6.57 tff(19938,plain,
% 8.91/6.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19939,plain,
% 8.91/6.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 8.91/6.57 tff(19940,plain,
% 8.91/6.57 (~m_main_v_state2(s247, c_n2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19939, 311, 19781, 19873])).
% 8.91/6.57 tff(19941,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s247, c_n2) | (~node9(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s247, c_n2) | (~node9(s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19942,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s247, c_n2) | (~node9(s247)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19943,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s247, c_n2) | (~node9(s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 8.91/6.57 tff(19944,plain,
% 8.91/6.57 (~node9(s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19943, 88, 19940])).
% 8.91/6.57 tff(19945,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s247, c_n2) | (~node10(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s247, c_n2) | (~node10(s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19946,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s247, c_n2) | (~node10(s247)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19947,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s247, c_n2) | (~node10(s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19946, 19945])).
% 8.91/6.57 tff(19948,plain,
% 8.91/6.57 (~node10(s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19947, 249, 19940])).
% 8.91/6.57 tff(19949,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s247, c_n2) | (~node8(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s247, c_n2) | (~node8(s247)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19950,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s247, c_n2) | (~node8(s247)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19951,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s247, c_n2) | (~node8(s247))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19950, 19949])).
% 8.91/6.57 tff(19952,plain,
% 8.91/6.57 (~node8(s247)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19951, 271, 19940])).
% 8.91/6.57 tff(19953,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s247, s248)) | node14(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s247, s248)) | node14(s247, s248))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19954,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s247, s248)) | node14(s247, s248))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19955,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s247, s248)) | node14(s247, s248)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 8.91/6.57 tff(19956,plain,
% 8.91/6.57 (node14(s247, s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19955, 46, 19887])).
% 8.91/6.57 tff(19957,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19958,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19959,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19958, 19957])).
% 8.91/6.57 tff(19960,plain,
% 8.91/6.57 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | m_main_v_state2(s248, c_c2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19959, 617, 19956])).
% 8.91/6.57 tff(19961,plain,
% 8.91/6.57 (m_main_v_state2(s248, c_c2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19960, 19952, 19824, 19880, 19948, 19944])).
% 8.91/6.57 tff(19962,plain,
% 8.91/6.57 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19963,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19964,plain,
% 8.91/6.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 8.91/6.57 tff(19965,plain,
% 8.91/6.57 (~m_main_v_state2(s248, c_n2)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19964, 697, 19961])).
% 8.91/6.57 tff(19966,plain,
% 8.91/6.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s248, c_n2) | (~node4(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s248, c_n2) | (~node4(s248)))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19967,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s248, c_n2) | (~node4(s248)))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19968,plain,
% 8.91/6.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s248, c_n2) | (~node4(s248))),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19967, 19966])).
% 8.91/6.57 tff(19969,plain,
% 8.91/6.57 (~node4(s248)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19968, 388, 19965])).
% 8.91/6.57 tff(19970,plain,
% 8.91/6.57 (succ(s248, s249) <=> succ(s248, s249)),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19971,axiom,(succ(s248, s249)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound249')).
% 8.91/6.57 tff(19972,plain,
% 8.91/6.57 (succ(s248, s249)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 8.91/6.57 tff(19973,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19974,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19975,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 8.91/6.57 tff(19976,plain,
% 8.91/6.57 (trans(s248, s249)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19975, 19972, 32])).
% 8.91/6.57 tff(19977,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s248, s249)) | node7(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s248, s249)) | node7(s248, s249))),
% 8.91/6.57 inference(rewrite,[status(thm)],[])).
% 8.91/6.57 tff(19978,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s248, s249)) | node7(s248, s249))),
% 8.91/6.57 inference(quant_inst,[status(thm)],[])).
% 8.91/6.57 tff(19979,plain,
% 8.91/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s248, s249)) | node7(s248, s249)),
% 8.91/6.57 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 8.91/6.57 tff(19980,plain,
% 8.91/6.57 (node7(s248, s249)),
% 8.91/6.57 inference(unit_resolution,[status(thm)],[19979, 206, 19976])).
% 8.91/6.57 tff(19981,plain,
% 8.91/6.57 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(19982,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(19983,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 8.91/6.58 tff(19984,plain,
% 8.91/6.58 (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[19983, 820, 19980])).
% 8.91/6.58 tff(19985,plain,
% 8.91/6.58 (node6(s248, s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[19984, 19969, 19933, 19929, 19925, 19921, 19904])).
% 8.91/6.58 tff(19986,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(19987,plain,
% 8.91/6.58 (((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1)) <=> ((~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(19988,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249))))),
% 8.91/6.58 inference(monotonicity,[status(thm)],[19987])).
% 8.91/6.58 tff(19989,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 8.91/6.58 inference(transitivity,[status(thm)],[19988, 19986])).
% 8.91/6.58 tff(19990,plain,
% 8.91/6.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(19991,plain,
% 8.91/6.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 8.91/6.58 tff(19992,plain,
% 8.91/6.58 (m_main_v_state1(s249, c_t1)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[19991, 856, 19896, 19985])).
% 8.91/6.58 tff(19993,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(19994,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(19995,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 8.91/6.58 tff(19996,plain,
% 8.91/6.58 (~m_main_v_state2(s248, c_t2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[19995, 260, 19961])).
% 8.91/6.58 tff(19997,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s248, c_t2) | (~node12(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s248, c_t2) | (~node12(s248)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(19998,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s248, c_t2) | (~node12(s248)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(19999,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s248, c_t2) | (~node12(s248))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 8.91/6.58 tff(20000,plain,
% 8.91/6.58 (~node12(s248)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[19999, 633, 19996])).
% 8.91/6.58 tff(20001,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s248, c_n1) | (~node11(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s248, c_n1) | (~node11(s248)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20002,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s248, c_n1) | (~node11(s248)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20003,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s248, c_n1) | (~node11(s248))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 8.91/6.58 tff(20004,plain,
% 8.91/6.58 (~node11(s248)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20003, 238, 19900])).
% 8.91/6.58 tff(20005,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s248, c_c1) | (~node10(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s248, c_c1) | (~node10(s248)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20006,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s248, c_c1) | (~node10(s248)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20007,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s248, c_c1) | (~node10(s248))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20006, 20005])).
% 8.91/6.58 tff(20008,plain,
% 8.91/6.58 (~node10(s248)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20007, 675, 19933])).
% 8.91/6.58 tff(20009,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s248, c_n1) | (~node9(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s248, c_n1) | (~node9(s248)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20010,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s248, c_n1) | (~node9(s248)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20011,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s248, c_n1) | (~node9(s248))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20010, 20009])).
% 8.91/6.58 tff(20012,plain,
% 8.91/6.58 (~node9(s248)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20011, 686, 19900])).
% 8.91/6.58 tff(20013,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s248, c_n2) | (~node8(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s248, c_n2) | (~node8(s248)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20014,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s248, c_n2) | (~node8(s248)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20015,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s248, c_n2) | (~node8(s248))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20014, 20013])).
% 8.91/6.58 tff(20016,plain,
% 8.91/6.58 (~node8(s248)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20015, 271, 19965])).
% 8.91/6.58 tff(20017,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s248, s249)) | node14(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s248, s249)) | node14(s248, s249))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20018,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s248, s249)) | node14(s248, s249))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20019,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s248, s249)) | node14(s248, s249)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20018, 20017])).
% 8.91/6.58 tff(20020,plain,
% 8.91/6.58 (node14(s248, s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20019, 46, 19976])).
% 8.91/6.58 tff(20021,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20022,plain,
% 8.91/6.58 (((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2)) <=> (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20023,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2))))),
% 8.91/6.58 inference(monotonicity,[status(thm)],[20022])).
% 8.91/6.58 tff(20024,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 8.91/6.58 inference(transitivity,[status(thm)],[20023, 20021])).
% 8.91/6.58 tff(20025,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20026,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20025, 20024])).
% 8.91/6.58 tff(20027,plain,
% 8.91/6.58 (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~m_main_v_state2(s248, c_c2))),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20026, 726, 20020])).
% 8.91/6.58 tff(20028,plain,
% 8.91/6.58 (m_main_v_state2(s249, c_n2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20027, 20016, 19961, 20012, 20008, 20004, 20000])).
% 8.91/6.58 tff(20029,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20030,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20031,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 8.91/6.58 tff(20032,plain,
% 8.91/6.58 (~m_main_v_state2(s249, c_t2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20031, 77, 20028])).
% 8.91/6.58 tff(20033,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s249, c_t2) | (~node15(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s249, c_t2) | (~node15(s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20034,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s249, c_t2) | (~node15(s249)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20035,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s249, c_t2) | (~node15(s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 8.91/6.58 tff(20036,plain,
% 8.91/6.58 (~node15(s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20035, 103, 20032])).
% 8.91/6.58 tff(20037,plain,
% 8.91/6.58 (succ(s249, s250) <=> succ(s249, s250)),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20038,axiom,(succ(s249, s250)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound250')).
% 8.91/6.58 tff(20039,plain,
% 8.91/6.58 (succ(s249, s250)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20038, 20037])).
% 8.91/6.58 tff(20040,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20041,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20042,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 8.91/6.58 tff(20043,plain,
% 8.91/6.58 (trans(s249, s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20042, 20039, 32])).
% 8.91/6.58 tff(20044,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s249, s250)) | node18(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s249, s250)) | node18(s249, s250))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20045,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s249, s250)) | node18(s249, s250))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20046,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s249, s250)) | node18(s249, s250)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 8.91/6.58 tff(20047,plain,
% 8.91/6.58 (node18(s249, s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20046, 125, 20043])).
% 8.91/6.58 tff(20048,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20049,plain,
% 8.91/6.58 (((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1)) <=> (node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20050,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)))),
% 8.91/6.58 inference(monotonicity,[status(thm)],[20049])).
% 8.91/6.58 tff(20051,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 8.91/6.58 inference(transitivity,[status(thm)],[20050, 20048])).
% 8.91/6.58 tff(20052,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20053,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 8.91/6.58 tff(20054,plain,
% 8.91/6.58 (node15(s249) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20053, 992, 20047])).
% 8.91/6.58 tff(20055,plain,
% 8.91/6.58 (m_main_v_turn(s250, c_1)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20054, 20036, 20028, 19992])).
% 8.91/6.58 tff(20056,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20057,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20058,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 8.91/6.58 tff(20059,plain,
% 8.91/6.58 (~m_main_v_turn(s250, c_2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20058, 156, 20055])).
% 8.91/6.58 tff(20060,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s250, c_2) | (~node12(s250)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s250, c_2) | (~node12(s250)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20061,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s250, c_2) | (~node12(s250)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20062,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s250, c_2) | (~node12(s250))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 8.91/6.58 tff(20063,plain,
% 8.91/6.58 (~node12(s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20062, 184, 20059])).
% 8.91/6.58 tff(20064,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s249, s250)) | node14(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s249, s250)) | node14(s249, s250))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20065,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s249, s250)) | node14(s249, s250))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20066,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s249, s250)) | node14(s249, s250)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 8.91/6.58 tff(20067,plain,
% 8.91/6.58 (node14(s249, s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20066, 46, 20043])).
% 8.91/6.58 tff(20068,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20069,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20070,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2)),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 8.91/6.58 tff(20071,plain,
% 8.91/6.58 ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state2(s250, c_t2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20070, 922, 20067])).
% 8.91/6.58 tff(20072,plain,
% 8.91/6.58 (m_main_v_state2(s250, c_t2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20071, 19992, 20028])).
% 8.91/6.58 tff(20073,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20074,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20075,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 8.91/6.58 tff(20076,plain,
% 8.91/6.58 (~m_main_v_state2(s250, c_n2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20075, 77, 20072])).
% 8.91/6.58 tff(20077,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s250, c_n2) | (~node8(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s250, c_n2) | (~node8(s250)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20078,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s250, c_n2) | (~node8(s250)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20079,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s250, c_n2) | (~node8(s250))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 8.91/6.58 tff(20080,plain,
% 8.91/6.58 (~node8(s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20079, 271, 20076])).
% 8.91/6.58 tff(20081,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s250, c_n2) | (~node9(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s250, c_n2) | (~node9(s250)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20082,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s250, c_n2) | (~node9(s250)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20083,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s250, c_n2) | (~node9(s250))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 8.91/6.58 tff(20084,plain,
% 8.91/6.58 (~node9(s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20083, 88, 20076])).
% 8.91/6.58 tff(20085,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s250, c_n2) | (~node10(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s250, c_n2) | (~node10(s250)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20086,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s250, c_n2) | (~node10(s250)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20087,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s250, c_n2) | (~node10(s250))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 8.91/6.58 tff(20088,plain,
% 8.91/6.58 (~node10(s250)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20087, 249, 20076])).
% 8.91/6.58 tff(20089,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20090,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20091,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 8.91/6.58 tff(20092,plain,
% 8.91/6.58 (~m_main_v_state2(s250, c_c2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20091, 260, 20072])).
% 8.91/6.58 tff(20093,plain,
% 8.91/6.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20094,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20095,plain,
% 8.91/6.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 8.91/6.58 tff(20096,plain,
% 8.91/6.58 (~m_main_v_state2(s249, c_c2)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20095, 697, 20028])).
% 8.91/6.58 tff(20097,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s249, c_c2) | (~node3(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s249, c_c2) | (~node3(s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20098,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s249, c_c2) | (~node3(s249)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20099,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s249, c_c2) | (~node3(s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20098, 20097])).
% 8.91/6.58 tff(20100,plain,
% 8.91/6.58 (~node3(s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20099, 399, 20096])).
% 8.91/6.58 tff(20101,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20102,plain,
% 8.91/6.58 (((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1))) <=> (m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20103,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249))))),
% 8.91/6.58 inference(monotonicity,[status(thm)],[20102])).
% 8.91/6.58 tff(20104,plain,
% 8.91/6.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 8.91/6.58 inference(transitivity,[status(thm)],[20103, 20101])).
% 8.91/6.58 tff(20105,plain,
% 8.91/6.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20106,plain,
% 8.91/6.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 8.91/6.58 tff(20107,plain,
% 8.91/6.58 (~m_main_v_state1(s249, c_n1)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20106, 835, 19900, 19985])).
% 8.91/6.58 tff(20108,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s249, c_n1) | (~node2(s249)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s249, c_n1) | (~node2(s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20109,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s249, c_n1) | (~node2(s249)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20110,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s249, c_n1) | (~node2(s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20109, 20108])).
% 8.91/6.58 tff(20111,plain,
% 8.91/6.58 (~node2(s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20110, 787, 20107])).
% 8.91/6.58 tff(20112,plain,
% 8.91/6.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s249, c_t2) | (~node1(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s249, c_t2) | (~node1(s249)))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20113,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s249, c_t2) | (~node1(s249)))),
% 8.91/6.58 inference(quant_inst,[status(thm)],[])).
% 8.91/6.58 tff(20114,plain,
% 8.91/6.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s249, c_t2) | (~node1(s249))),
% 8.91/6.58 inference(modus_ponens,[status(thm)],[20113, 20112])).
% 8.91/6.58 tff(20115,plain,
% 8.91/6.58 (~node1(s249)),
% 8.91/6.58 inference(unit_resolution,[status(thm)],[20114, 195, 20032])).
% 8.91/6.58 tff(20116,plain,
% 8.91/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s249, s250)) | node7(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s249, s250)) | node7(s249, s250))),
% 8.91/6.58 inference(rewrite,[status(thm)],[])).
% 8.91/6.58 tff(20117,plain,
% 8.91/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s249, s250)) | node7(s249, s250))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20118,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s249, s250)) | node7(s249, s250)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 8.91/6.59 tff(20119,plain,
% 8.91/6.59 (node7(s249, s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20118, 206, 20043])).
% 8.91/6.59 tff(20120,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20121,plain,
% 8.91/6.59 (((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1)) <=> ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20122,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250))))),
% 8.91/6.59 inference(monotonicity,[status(thm)],[20121])).
% 8.91/6.59 tff(20123,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 8.91/6.59 inference(transitivity,[status(thm)],[20122, 20120])).
% 8.91/6.59 tff(20124,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20125,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20124, 20123])).
% 8.91/6.59 tff(20126,plain,
% 8.91/6.59 ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20125, 892, 20119])).
% 8.91/6.59 tff(20127,plain,
% 8.91/6.59 (m_main_v_state1(s250, c_c1)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20126, 20115, 20028, 19992, 20111, 20100])).
% 8.91/6.59 tff(20128,plain,
% 8.91/6.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20129,plain,
% 8.91/6.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20130,plain,
% 8.91/6.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20129, 20128])).
% 8.91/6.59 tff(20131,plain,
% 8.91/6.59 (~m_main_v_state1(s250, c_n1)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20130, 454, 20127])).
% 8.91/6.59 tff(20132,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s250, c_n1) | (~node11(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s250, c_n1) | (~node11(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20133,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s250, c_n1) | (~node11(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20134,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s250, c_n1) | (~node11(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 8.91/6.59 tff(20135,plain,
% 8.91/6.59 (~node11(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20134, 238, 20131])).
% 8.91/6.59 tff(20136,plain,
% 8.91/6.59 (succ(s250, s251) <=> succ(s250, s251)),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20137,axiom,(succ(s250, s251)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound251')).
% 8.91/6.59 tff(20138,plain,
% 8.91/6.59 (succ(s250, s251)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 8.91/6.59 tff(20139,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20140,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20141,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 8.91/6.59 tff(20142,plain,
% 8.91/6.59 (trans(s250, s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20141, 20138, 32])).
% 8.91/6.59 tff(20143,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s250, s251)) | node14(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s250, s251)) | node14(s250, s251))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20144,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s250, s251)) | node14(s250, s251))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20145,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s250, s251)) | node14(s250, s251)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20144, 20143])).
% 8.91/6.59 tff(20146,plain,
% 8.91/6.59 (node14(s250, s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20145, 46, 20142])).
% 8.91/6.59 tff(20147,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20148,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20149,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 8.91/6.59 tff(20150,plain,
% 8.91/6.59 (m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20149, 296, 20146])).
% 8.91/6.59 tff(20151,plain,
% 8.91/6.59 (node13(s250, s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20150, 20135, 20092, 20088, 20084, 20080, 20063])).
% 8.91/6.59 tff(20152,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20153,plain,
% 8.91/6.59 (((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2))) <=> (m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20154,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251))))),
% 8.91/6.59 inference(monotonicity,[status(thm)],[20153])).
% 8.91/6.59 tff(20155,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 8.91/6.59 inference(transitivity,[status(thm)],[20154, 20152])).
% 8.91/6.59 tff(20156,plain,
% 8.91/6.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20157,plain,
% 8.91/6.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 8.91/6.59 tff(20158,plain,
% 8.91/6.59 (~m_main_v_state2(s251, c_n2)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20157, 311, 20076, 20151])).
% 8.91/6.59 tff(20159,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s251, c_n2) | (~node9(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s251, c_n2) | (~node9(s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20160,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s251, c_n2) | (~node9(s251)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20161,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s251, c_n2) | (~node9(s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 8.91/6.59 tff(20162,plain,
% 8.91/6.59 (~node9(s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20161, 88, 20158])).
% 8.91/6.59 tff(20163,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s251, c_n2) | (~node10(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s251, c_n2) | (~node10(s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20164,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s251, c_n2) | (~node10(s251)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20165,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s251, c_n2) | (~node10(s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 8.91/6.59 tff(20166,plain,
% 8.91/6.59 (~node10(s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20165, 249, 20158])).
% 8.91/6.59 tff(20167,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20168,plain,
% 8.91/6.59 (((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2)) <=> ((~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20169,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251))))),
% 8.91/6.59 inference(monotonicity,[status(thm)],[20168])).
% 8.91/6.59 tff(20170,plain,
% 8.91/6.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 8.91/6.59 inference(transitivity,[status(thm)],[20169, 20167])).
% 8.91/6.59 tff(20171,plain,
% 8.91/6.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20172,plain,
% 8.91/6.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 8.91/6.59 tff(20173,plain,
% 8.91/6.59 (m_main_v_state2(s251, c_t2)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20172, 518, 20072, 20151])).
% 8.91/6.59 tff(20174,plain,
% 8.91/6.59 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20175,plain,
% 8.91/6.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20176,plain,
% 8.91/6.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 8.91/6.59 tff(20177,plain,
% 8.91/6.59 (~m_main_v_state1(s250, c_t1)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20176, 539, 20127])).
% 8.91/6.59 tff(20178,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s250, c_t1) | (~node5(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s250, c_t1) | (~node5(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20179,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s250, c_t1) | (~node5(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20180,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s250, c_t1) | (~node5(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 8.91/6.59 tff(20181,plain,
% 8.91/6.59 (~node5(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20180, 550, 20177])).
% 8.91/6.59 tff(20182,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s250, c_n2) | (~node4(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s250, c_n2) | (~node4(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20183,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s250, c_n2) | (~node4(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20184,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s250, c_n2) | (~node4(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 8.91/6.59 tff(20185,plain,
% 8.91/6.59 (~node4(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20184, 388, 20076])).
% 8.91/6.59 tff(20186,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s250, c_c2) | (~node3(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s250, c_c2) | (~node3(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20187,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s250, c_c2) | (~node3(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20188,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s250, c_c2) | (~node3(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20187, 20186])).
% 8.91/6.59 tff(20189,plain,
% 8.91/6.59 (~node3(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20188, 399, 20092])).
% 8.91/6.59 tff(20190,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s250, c_n2) | (~node2(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s250, c_n2) | (~node2(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20191,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s250, c_n2) | (~node2(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20192,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s250, c_n2) | (~node2(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 8.91/6.59 tff(20193,plain,
% 8.91/6.59 (~node2(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20192, 410, 20076])).
% 8.91/6.59 tff(20194,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s250, c_n1) | (~node1(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s250, c_n1) | (~node1(s250)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20195,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s250, c_n1) | (~node1(s250)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20196,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s250, c_n1) | (~node1(s250))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20195, 20194])).
% 8.91/6.59 tff(20197,plain,
% 8.91/6.59 (~node1(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20196, 421, 20131])).
% 8.91/6.59 tff(20198,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s250, s251)) | node7(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s250, s251)) | node7(s250, s251))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20199,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s250, s251)) | node7(s250, s251))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20200,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s250, s251)) | node7(s250, s251)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 8.91/6.59 tff(20201,plain,
% 8.91/6.59 (node7(s250, s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20200, 206, 20142])).
% 8.91/6.59 tff(20202,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20203,plain,
% 8.91/6.59 (((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1)) <=> (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20204,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251))))),
% 8.91/6.59 inference(monotonicity,[status(thm)],[20203])).
% 8.91/6.59 tff(20205,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 8.91/6.59 inference(transitivity,[status(thm)],[20204, 20202])).
% 8.91/6.59 tff(20206,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20207,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 8.91/6.59 tff(20208,plain,
% 8.91/6.59 (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20207, 584, 20201])).
% 8.91/6.59 tff(20209,plain,
% 8.91/6.59 (m_main_v_state1(s251, c_n1)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20208, 20197, 20127, 20193, 20189, 20185, 20181])).
% 8.91/6.59 tff(20210,plain,
% 8.91/6.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s251, c_n2) | (~node8(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s251, c_n2) | (~node8(s251)))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20211,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s251, c_n2) | (~node8(s251)))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20212,plain,
% 8.91/6.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s251, c_n2) | (~node8(s251))),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20211, 20210])).
% 8.91/6.59 tff(20213,plain,
% 8.91/6.59 (~node8(s251)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20212, 271, 20158])).
% 8.91/6.59 tff(20214,plain,
% 8.91/6.59 (succ(s251, s252) <=> succ(s251, s252)),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20215,axiom,(succ(s251, s252)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound252')).
% 8.91/6.59 tff(20216,plain,
% 8.91/6.59 (succ(s251, s252)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20215, 20214])).
% 8.91/6.59 tff(20217,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20218,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20219,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 8.91/6.59 tff(20220,plain,
% 8.91/6.59 (trans(s251, s252)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20219, 20216, 32])).
% 8.91/6.59 tff(20221,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s251, s252)) | node14(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s251, s252)) | node14(s251, s252))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20222,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s251, s252)) | node14(s251, s252))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20223,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s251, s252)) | node14(s251, s252)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 8.91/6.59 tff(20224,plain,
% 8.91/6.59 (node14(s251, s252)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20223, 46, 20220])).
% 8.91/6.59 tff(20225,plain,
% 8.91/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2))),
% 8.91/6.59 inference(rewrite,[status(thm)],[])).
% 8.91/6.59 tff(20226,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2))),
% 8.91/6.59 inference(quant_inst,[status(thm)],[])).
% 8.91/6.59 tff(20227,plain,
% 8.91/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2)),
% 8.91/6.59 inference(modus_ponens,[status(thm)],[20226, 20225])).
% 8.91/6.59 tff(20228,plain,
% 8.91/6.59 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | m_main_v_state2(s252, c_c2)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20227, 617, 20224])).
% 8.91/6.59 tff(20229,plain,
% 8.91/6.59 (m_main_v_state2(s252, c_c2)),
% 8.91/6.59 inference(unit_resolution,[status(thm)],[20228, 20213, 20209, 20173, 20166, 20162])).
% 8.91/6.59 tff(20230,plain,
% 8.91/6.59 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))),
% 8.91/6.60 inference(rewrite,[status(thm)],[])).
% 8.91/6.60 tff(20231,plain,
% 8.91/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))),
% 8.91/6.60 inference(quant_inst,[status(thm)],[])).
% 8.91/6.60 tff(20232,plain,
% 8.91/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2))),
% 8.91/6.60 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 8.91/6.60 tff(20233,plain,
% 8.91/6.60 (~m_main_v_state2(s252, c_t2)),
% 8.91/6.60 inference(unit_resolution,[status(thm)],[20232, 260, 20229])).
% 8.91/6.60 tff(20234,plain,
% 8.91/6.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s252, c_t2) | (~node12(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s252, c_t2) | (~node12(s252)))),
% 8.91/6.60 inference(rewrite,[status(thm)],[])).
% 8.91/6.60 tff(20235,plain,
% 8.91/6.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s252, c_t2) | (~node12(s252)))),
% 8.91/6.60 inference(quant_inst,[status(thm)],[])).
% 8.91/6.60 tff(20236,plain,
% 8.91/6.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s252, c_t2) | (~node12(s252))),
% 8.91/6.60 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 8.91/6.60 tff(20237,plain,
% 8.91/6.60 (~node12(s252)),
% 8.91/6.60 inference(unit_resolution,[status(thm)],[20236, 633, 20233])).
% 8.91/6.60 tff(20238,plain,
% 8.91/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s251, s252)) | node7(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s251, s252)) | node7(s251, s252))),
% 8.91/6.60 inference(rewrite,[status(thm)],[])).
% 8.91/6.60 tff(20239,plain,
% 8.91/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s251, s252)) | node7(s251, s252))),
% 8.91/6.60 inference(quant_inst,[status(thm)],[])).
% 8.91/6.60 tff(20240,plain,
% 8.91/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s251, s252)) | node7(s251, s252)),
% 8.91/6.60 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 8.91/6.60 tff(20241,plain,
% 8.91/6.60 (node7(s251, s252)),
% 8.91/6.60 inference(unit_resolution,[status(thm)],[20240, 206, 20220])).
% 8.91/6.60 tff(20242,plain,
% 8.91/6.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))),
% 8.91/6.60 inference(rewrite,[status(thm)],[])).
% 8.91/6.60 tff(20243,plain,
% 8.91/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20244,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 8.96/6.60 tff(20245,plain,
% 8.96/6.60 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_state1(s252, c_t1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20244, 651, 20241])).
% 8.96/6.60 tff(20246,plain,
% 8.96/6.60 (m_main_v_state1(s252, c_t1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20245, 20173, 20209])).
% 8.96/6.60 tff(20247,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20248,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20249,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20248, 20247])).
% 8.96/6.60 tff(20250,plain,
% 8.96/6.60 (~m_main_v_state1(s252, c_n1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20249, 10, 20246])).
% 8.96/6.60 tff(20251,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s252, c_n1) | (~node11(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s252, c_n1) | (~node11(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20252,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s252, c_n1) | (~node11(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20253,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s252, c_n1) | (~node11(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 8.96/6.60 tff(20254,plain,
% 8.96/6.60 (~node11(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20253, 238, 20250])).
% 8.96/6.60 tff(20255,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20256,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20257,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20256, 20255])).
% 8.96/6.60 tff(20258,plain,
% 8.96/6.60 (~m_main_v_state1(s252, c_c1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20257, 539, 20246])).
% 8.96/6.60 tff(20259,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s252, c_c1) | (~node10(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s252, c_c1) | (~node10(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20260,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s252, c_c1) | (~node10(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20261,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s252, c_c1) | (~node10(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 8.96/6.60 tff(20262,plain,
% 8.96/6.60 (~node10(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20261, 675, 20258])).
% 8.96/6.60 tff(20263,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s252, c_n1) | (~node9(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s252, c_n1) | (~node9(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20264,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s252, c_n1) | (~node9(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20265,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s252, c_n1) | (~node9(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 8.96/6.60 tff(20266,plain,
% 8.96/6.60 (~node9(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20265, 686, 20250])).
% 8.96/6.60 tff(20267,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20268,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20269,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 8.96/6.60 tff(20270,plain,
% 8.96/6.60 (~m_main_v_state2(s252, c_n2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20269, 697, 20229])).
% 8.96/6.60 tff(20271,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s252, c_n2) | (~node8(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s252, c_n2) | (~node8(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20272,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s252, c_n2) | (~node8(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20273,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s252, c_n2) | (~node8(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 8.96/6.60 tff(20274,plain,
% 8.96/6.60 (~node8(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20273, 271, 20270])).
% 8.96/6.60 tff(20275,plain,
% 8.96/6.60 (succ(s252, s253) <=> succ(s252, s253)),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20276,axiom,(succ(s252, s253)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound253')).
% 8.96/6.60 tff(20277,plain,
% 8.96/6.60 (succ(s252, s253)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 8.96/6.60 tff(20278,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20279,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20280,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20279, 20278])).
% 8.96/6.60 tff(20281,plain,
% 8.96/6.60 (trans(s252, s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20280, 20277, 32])).
% 8.96/6.60 tff(20282,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s252, s253)) | node14(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s252, s253)) | node14(s252, s253))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20283,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s252, s253)) | node14(s252, s253))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20284,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s252, s253)) | node14(s252, s253)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20283, 20282])).
% 8.96/6.60 tff(20285,plain,
% 8.96/6.60 (node14(s252, s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20284, 46, 20281])).
% 8.96/6.60 tff(20286,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20287,plain,
% 8.96/6.60 (((~m_main_v_state2(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2)) <=> (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20288,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2))))),
% 8.96/6.60 inference(monotonicity,[status(thm)],[20287])).
% 8.96/6.60 tff(20289,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 8.96/6.60 inference(transitivity,[status(thm)],[20288, 20286])).
% 8.96/6.60 tff(20290,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20291,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20290, 20289])).
% 8.96/6.60 tff(20292,plain,
% 8.96/6.60 (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~m_main_v_state2(s252, c_c2))),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20291, 726, 20285])).
% 8.96/6.60 tff(20293,plain,
% 8.96/6.60 (m_main_v_state2(s253, c_n2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20292, 20274, 20229, 20266, 20262, 20254, 20237])).
% 8.96/6.60 tff(20294,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20295,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20296,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20295, 20294])).
% 8.96/6.60 tff(20297,plain,
% 8.96/6.60 (~m_main_v_state2(s253, c_c2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20296, 697, 20293])).
% 8.96/6.60 tff(20298,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s253, c_c2) | (~node3(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s253, c_c2) | (~node3(s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20299,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s253, c_c2) | (~node3(s253)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20300,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s253, c_c2) | (~node3(s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20299, 20298])).
% 8.96/6.60 tff(20301,plain,
% 8.96/6.60 (~node3(s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20300, 399, 20297])).
% 8.96/6.60 tff(20302,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s252, c_n1) | (~node1(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s252, c_n1) | (~node1(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20303,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s252, c_n1) | (~node1(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20304,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s252, c_n1) | (~node1(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20303, 20302])).
% 8.96/6.60 tff(20305,plain,
% 8.96/6.60 (~node1(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20304, 421, 20250])).
% 8.96/6.60 tff(20306,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s251, s252)) | node18(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s251, s252)) | node18(s251, s252))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20307,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s251, s252)) | node18(s251, s252))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20308,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s251, s252)) | node18(s251, s252)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20307, 20306])).
% 8.96/6.60 tff(20309,plain,
% 8.96/6.60 (node18(s251, s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20308, 125, 20220])).
% 8.96/6.60 tff(20310,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20311,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20312,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20311, 20310])).
% 8.96/6.60 tff(20313,plain,
% 8.96/6.60 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_turn(s252, c_2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20312, 760, 20309])).
% 8.96/6.60 tff(20314,plain,
% 8.96/6.60 (m_main_v_turn(s252, c_2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20313, 20173, 20209])).
% 8.96/6.60 tff(20315,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20316,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20317,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20316, 20315])).
% 8.96/6.60 tff(20318,plain,
% 8.96/6.60 (~m_main_v_turn(s252, c_1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20317, 156, 20314])).
% 8.96/6.60 tff(20319,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s252, c_1) | (~node5(s252)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s252, c_1) | (~node5(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20320,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s252, c_1) | (~node5(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20321,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s252, c_1) | (~node5(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20320, 20319])).
% 8.96/6.60 tff(20322,plain,
% 8.96/6.60 (~node5(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20321, 776, 20318])).
% 8.96/6.60 tff(20323,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s252, c_n1) | (~node2(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s252, c_n1) | (~node2(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20324,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s252, c_n1) | (~node2(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20325,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s252, c_n1) | (~node2(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20324, 20323])).
% 8.96/6.60 tff(20326,plain,
% 8.96/6.60 (~node2(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20325, 787, 20250])).
% 8.96/6.60 tff(20327,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s252, c_n1) | (~node3(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s252, c_n1) | (~node3(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20328,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s252, c_n1) | (~node3(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20329,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s252, c_n1) | (~node3(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 8.96/6.60 tff(20330,plain,
% 8.96/6.60 (~node3(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20329, 798, 20250])).
% 8.96/6.60 tff(20331,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s252, c_n2) | (~node4(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s252, c_n2) | (~node4(s252)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20332,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s252, c_n2) | (~node4(s252)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20333,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s252, c_n2) | (~node4(s252))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20332, 20331])).
% 8.96/6.60 tff(20334,plain,
% 8.96/6.60 (~node4(s252)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20333, 388, 20270])).
% 8.96/6.60 tff(20335,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s252, s253)) | node7(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s252, s253)) | node7(s252, s253))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20336,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s252, s253)) | node7(s252, s253))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20337,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s252, s253)) | node7(s252, s253)),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 8.96/6.60 tff(20338,plain,
% 8.96/6.60 (node7(s252, s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20337, 206, 20281])).
% 8.96/6.60 tff(20339,plain,
% 8.96/6.60 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20340,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20341,plain,
% 8.96/6.60 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20340, 20339])).
% 8.96/6.60 tff(20342,plain,
% 8.96/6.60 (m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20341, 820, 20338])).
% 8.96/6.60 tff(20343,plain,
% 8.96/6.60 (node6(s252, s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20342, 20334, 20258, 20330, 20326, 20322, 20305])).
% 8.96/6.60 tff(20344,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20345,plain,
% 8.96/6.60 (((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1))) <=> (m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20346,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253))))),
% 8.96/6.60 inference(monotonicity,[status(thm)],[20345])).
% 8.96/6.60 tff(20347,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 8.96/6.60 inference(transitivity,[status(thm)],[20346, 20344])).
% 8.96/6.60 tff(20348,plain,
% 8.96/6.60 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20349,plain,
% 8.96/6.60 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 8.96/6.60 tff(20350,plain,
% 8.96/6.60 (~m_main_v_state1(s253, c_n1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20349, 835, 20250, 20343])).
% 8.96/6.60 tff(20351,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s253, c_n1) | (~node2(s253)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s253, c_n1) | (~node2(s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20352,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s253, c_n1) | (~node2(s253)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20353,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s253, c_n1) | (~node2(s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20352, 20351])).
% 8.96/6.60 tff(20354,plain,
% 8.96/6.60 (~node2(s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20353, 787, 20350])).
% 8.96/6.60 tff(20355,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20356,plain,
% 8.96/6.60 (((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1)) <=> ((~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20357,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253))))),
% 8.96/6.60 inference(monotonicity,[status(thm)],[20356])).
% 8.96/6.60 tff(20358,plain,
% 8.96/6.60 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 8.96/6.60 inference(transitivity,[status(thm)],[20357, 20355])).
% 8.96/6.60 tff(20359,plain,
% 8.96/6.60 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20360,plain,
% 8.96/6.60 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 8.96/6.60 tff(20361,plain,
% 8.96/6.60 (m_main_v_state1(s253, c_t1)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20360, 856, 20246, 20343])).
% 8.96/6.60 tff(20362,plain,
% 8.96/6.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20363,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20364,plain,
% 8.96/6.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 8.96/6.60 tff(20365,plain,
% 8.96/6.60 (~m_main_v_state2(s253, c_t2)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20364, 77, 20293])).
% 8.96/6.60 tff(20366,plain,
% 8.96/6.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s253, c_t2) | (~node1(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s253, c_t2) | (~node1(s253)))),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20367,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s253, c_t2) | (~node1(s253)))),
% 8.96/6.60 inference(quant_inst,[status(thm)],[])).
% 8.96/6.60 tff(20368,plain,
% 8.96/6.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s253, c_t2) | (~node1(s253))),
% 8.96/6.60 inference(modus_ponens,[status(thm)],[20367, 20366])).
% 8.96/6.60 tff(20369,plain,
% 8.96/6.60 (~node1(s253)),
% 8.96/6.60 inference(unit_resolution,[status(thm)],[20368, 195, 20365])).
% 8.96/6.60 tff(20370,plain,
% 8.96/6.60 (succ(s253, s254) <=> succ(s253, s254)),
% 8.96/6.60 inference(rewrite,[status(thm)],[])).
% 8.96/6.60 tff(20371,axiom,(succ(s253, s254)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound254')).
% 8.96/6.61 tff(20372,plain,
% 8.96/6.61 (succ(s253, s254)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 8.96/6.61 tff(20373,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20374,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20375,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 8.96/6.61 tff(20376,plain,
% 8.96/6.61 (trans(s253, s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20375, 20372, 32])).
% 8.96/6.61 tff(20377,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s253, s254)) | node7(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s253, s254)) | node7(s253, s254))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20378,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s253, s254)) | node7(s253, s254))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20379,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s253, s254)) | node7(s253, s254)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20378, 20377])).
% 8.96/6.61 tff(20380,plain,
% 8.96/6.61 (node7(s253, s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20379, 206, 20376])).
% 8.96/6.61 tff(20381,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20382,plain,
% 8.96/6.61 (((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1)) <=> ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20383,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254))))),
% 8.96/6.61 inference(monotonicity,[status(thm)],[20382])).
% 8.96/6.61 tff(20384,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 8.96/6.61 inference(transitivity,[status(thm)],[20383, 20381])).
% 8.96/6.61 tff(20385,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20386,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 8.96/6.61 tff(20387,plain,
% 8.96/6.61 ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20386, 892, 20380])).
% 8.96/6.61 tff(20388,plain,
% 8.96/6.61 (m_main_v_state1(s254, c_c1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20387, 20369, 20293, 20361, 20354, 20301])).
% 8.96/6.61 tff(20389,plain,
% 8.96/6.61 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20390,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20391,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20390, 20389])).
% 8.96/6.61 tff(20392,plain,
% 8.96/6.61 (~m_main_v_state1(s254, c_t1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20391, 539, 20388])).
% 8.96/6.61 tff(20393,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s254, c_t1) | (~node5(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s254, c_t1) | (~node5(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20394,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s254, c_t1) | (~node5(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20395,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s254, c_t1) | (~node5(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20394, 20393])).
% 8.96/6.61 tff(20396,plain,
% 8.96/6.61 (~node5(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20395, 550, 20392])).
% 8.96/6.61 tff(20397,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s253, s254)) | node14(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s253, s254)) | node14(s253, s254))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20398,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s253, s254)) | node14(s253, s254))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20399,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s253, s254)) | node14(s253, s254)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20398, 20397])).
% 8.96/6.61 tff(20400,plain,
% 8.96/6.61 (node14(s253, s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20399, 46, 20376])).
% 8.96/6.61 tff(20401,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20402,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20403,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20402, 20401])).
% 8.96/6.61 tff(20404,plain,
% 8.96/6.61 ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state2(s254, c_t2)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20403, 922, 20400])).
% 8.96/6.61 tff(20405,plain,
% 8.96/6.61 (m_main_v_state2(s254, c_t2)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20404, 20361, 20293])).
% 8.96/6.61 tff(20406,plain,
% 8.96/6.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20407,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20408,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20407, 20406])).
% 8.96/6.61 tff(20409,plain,
% 8.96/6.61 (~m_main_v_state2(s254, c_n2)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20408, 77, 20405])).
% 8.96/6.61 tff(20410,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s254, c_n2) | (~node4(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s254, c_n2) | (~node4(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20411,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s254, c_n2) | (~node4(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20412,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s254, c_n2) | (~node4(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 8.96/6.61 tff(20413,plain,
% 8.96/6.61 (~node4(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20412, 388, 20409])).
% 8.96/6.61 tff(20414,plain,
% 8.96/6.61 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20415,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20416,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 8.96/6.61 tff(20417,plain,
% 8.96/6.61 (~m_main_v_state2(s254, c_c2)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20416, 260, 20405])).
% 8.96/6.61 tff(20418,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s254, c_c2) | (~node3(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s254, c_c2) | (~node3(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20419,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s254, c_c2) | (~node3(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20420,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s254, c_c2) | (~node3(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 8.96/6.61 tff(20421,plain,
% 8.96/6.61 (~node3(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20420, 399, 20417])).
% 8.96/6.61 tff(20422,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s254, c_n2) | (~node2(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s254, c_n2) | (~node2(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20423,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s254, c_n2) | (~node2(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20424,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s254, c_n2) | (~node2(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 8.96/6.61 tff(20425,plain,
% 8.96/6.61 (~node2(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20424, 410, 20409])).
% 8.96/6.61 tff(20426,plain,
% 8.96/6.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20427,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20428,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 8.96/6.61 tff(20429,plain,
% 8.96/6.61 (~m_main_v_state1(s254, c_n1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20428, 454, 20388])).
% 8.96/6.61 tff(20430,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s254, c_n1) | (~node1(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s254, c_n1) | (~node1(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20431,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s254, c_n1) | (~node1(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20432,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s254, c_n1) | (~node1(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20431, 20430])).
% 8.96/6.61 tff(20433,plain,
% 8.96/6.61 (~node1(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20432, 421, 20429])).
% 8.96/6.61 tff(20434,plain,
% 8.96/6.61 (succ(s254, s255) <=> succ(s254, s255)),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20435,axiom,(succ(s254, s255)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound255')).
% 8.96/6.61 tff(20436,plain,
% 8.96/6.61 (succ(s254, s255)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20435, 20434])).
% 8.96/6.61 tff(20437,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20438,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20439,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 8.96/6.61 tff(20440,plain,
% 8.96/6.61 (trans(s254, s255)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20439, 20436, 32])).
% 8.96/6.61 tff(20441,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s254, s255)) | node7(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s254, s255)) | node7(s254, s255))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20442,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s254, s255)) | node7(s254, s255))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20443,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s254, s255)) | node7(s254, s255)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20442, 20441])).
% 8.96/6.61 tff(20444,plain,
% 8.96/6.61 (node7(s254, s255)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20443, 206, 20440])).
% 8.96/6.61 tff(20445,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20446,plain,
% 8.96/6.61 (((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1)) <=> (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20447,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255))))),
% 8.96/6.61 inference(monotonicity,[status(thm)],[20446])).
% 8.96/6.61 tff(20448,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 8.96/6.61 inference(transitivity,[status(thm)],[20447, 20445])).
% 8.96/6.61 tff(20449,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20450,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20449, 20448])).
% 8.96/6.61 tff(20451,plain,
% 8.96/6.61 (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20450, 584, 20444])).
% 8.96/6.61 tff(20452,plain,
% 8.96/6.61 (m_main_v_state1(s255, c_n1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20451, 20433, 20388, 20425, 20421, 20413, 20396])).
% 8.96/6.61 tff(20453,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s253, c_t2) | (~node15(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s253, c_t2) | (~node15(s253)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20454,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s253, c_t2) | (~node15(s253)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20455,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s253, c_t2) | (~node15(s253))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20454, 20453])).
% 8.96/6.61 tff(20456,plain,
% 8.96/6.61 (~node15(s253)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20455, 103, 20365])).
% 8.96/6.61 tff(20457,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s253, s254)) | node18(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s253, s254)) | node18(s253, s254))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20458,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s253, s254)) | node18(s253, s254))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20459,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s253, s254)) | node18(s253, s254)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20458, 20457])).
% 8.96/6.61 tff(20460,plain,
% 8.96/6.61 (node18(s253, s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20459, 125, 20376])).
% 8.96/6.61 tff(20461,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20462,plain,
% 8.96/6.61 (((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1)) <=> (node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20463,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)))),
% 8.96/6.61 inference(monotonicity,[status(thm)],[20462])).
% 8.96/6.61 tff(20464,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 8.96/6.61 inference(transitivity,[status(thm)],[20463, 20461])).
% 8.96/6.61 tff(20465,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20466,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20465, 20464])).
% 8.96/6.61 tff(20467,plain,
% 8.96/6.61 (node15(s253) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20466, 992, 20460])).
% 8.96/6.61 tff(20468,plain,
% 8.96/6.61 (m_main_v_turn(s254, c_1)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20467, 20456, 20293, 20361])).
% 8.96/6.61 tff(20469,plain,
% 8.96/6.61 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20470,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20471,plain,
% 8.96/6.61 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20470, 20469])).
% 8.96/6.61 tff(20472,plain,
% 8.96/6.61 (~m_main_v_turn(s254, c_2)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20471, 156, 20468])).
% 8.96/6.61 tff(20473,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s254, c_2) | (~node12(s254)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s254, c_2) | (~node12(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20474,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s254, c_2) | (~node12(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20475,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s254, c_2) | (~node12(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 8.96/6.61 tff(20476,plain,
% 8.96/6.61 (~node12(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20475, 184, 20472])).
% 8.96/6.61 tff(20477,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s254, c_n2) | (~node8(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s254, c_n2) | (~node8(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20478,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s254, c_n2) | (~node8(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20479,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s254, c_n2) | (~node8(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 8.96/6.61 tff(20480,plain,
% 8.96/6.61 (~node8(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20479, 271, 20409])).
% 8.96/6.61 tff(20481,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s254, c_n2) | (~node9(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s254, c_n2) | (~node9(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20482,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s254, c_n2) | (~node9(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20483,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s254, c_n2) | (~node9(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20482, 20481])).
% 8.96/6.61 tff(20484,plain,
% 8.96/6.61 (~node9(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20483, 88, 20409])).
% 8.96/6.61 tff(20485,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s254, c_n2) | (~node10(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s254, c_n2) | (~node10(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20486,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s254, c_n2) | (~node10(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20487,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s254, c_n2) | (~node10(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 8.96/6.61 tff(20488,plain,
% 8.96/6.61 (~node10(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20487, 249, 20409])).
% 8.96/6.61 tff(20489,plain,
% 8.96/6.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s254, c_n1) | (~node11(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s254, c_n1) | (~node11(s254)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20490,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s254, c_n1) | (~node11(s254)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20491,plain,
% 8.96/6.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s254, c_n1) | (~node11(s254))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20490, 20489])).
% 8.96/6.61 tff(20492,plain,
% 8.96/6.61 (~node11(s254)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20491, 238, 20429])).
% 8.96/6.61 tff(20493,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s254, s255)) | node14(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s254, s255)) | node14(s254, s255))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20494,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s254, s255)) | node14(s254, s255))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20495,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s254, s255)) | node14(s254, s255)),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 8.96/6.61 tff(20496,plain,
% 8.96/6.61 (node14(s254, s255)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20495, 46, 20440])).
% 8.96/6.61 tff(20497,plain,
% 8.96/6.61 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20498,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))),
% 8.96/6.61 inference(quant_inst,[status(thm)],[])).
% 8.96/6.61 tff(20499,plain,
% 8.96/6.61 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255))),
% 8.96/6.61 inference(modus_ponens,[status(thm)],[20498, 20497])).
% 8.96/6.61 tff(20500,plain,
% 8.96/6.61 (m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20499, 296, 20496])).
% 8.96/6.61 tff(20501,plain,
% 8.96/6.61 (node13(s254, s255)),
% 8.96/6.61 inference(unit_resolution,[status(thm)],[20500, 20492, 20417, 20488, 20484, 20480, 20476])).
% 8.96/6.61 tff(20502,plain,
% 8.96/6.61 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20503,plain,
% 8.96/6.61 (((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2)) <=> ((~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 8.96/6.61 inference(rewrite,[status(thm)],[])).
% 8.96/6.61 tff(20504,plain,
% 8.96/6.61 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255))))),
% 8.96/6.62 inference(monotonicity,[status(thm)],[20503])).
% 8.96/6.62 tff(20505,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 8.96/6.62 inference(transitivity,[status(thm)],[20504, 20502])).
% 8.96/6.62 tff(20506,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20507,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20506, 20505])).
% 8.96/6.62 tff(20508,plain,
% 8.96/6.62 (m_main_v_state2(s255, c_t2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20507, 518, 20405, 20501])).
% 8.96/6.62 tff(20509,plain,
% 8.96/6.62 (succ(s255, s256) <=> succ(s255, s256)),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20510,axiom,(succ(s255, s256)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound256')).
% 8.96/6.62 tff(20511,plain,
% 8.96/6.62 (succ(s255, s256)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 8.96/6.62 tff(20512,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20513,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20514,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 8.96/6.62 tff(20515,plain,
% 8.96/6.62 (trans(s255, s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20514, 20511, 32])).
% 8.96/6.62 tff(20516,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s255, s256)) | node7(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s255, s256)) | node7(s255, s256))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20517,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s255, s256)) | node7(s255, s256))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20518,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s255, s256)) | node7(s255, s256)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 8.96/6.62 tff(20519,plain,
% 8.96/6.62 (node7(s255, s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20518, 206, 20515])).
% 8.96/6.62 tff(20520,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20521,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20522,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 8.96/6.62 tff(20523,plain,
% 8.96/6.62 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_state1(s256, c_t1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20522, 651, 20519])).
% 8.96/6.62 tff(20524,plain,
% 8.96/6.62 (m_main_v_state1(s256, c_t1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20523, 20508, 20452])).
% 8.96/6.62 tff(20525,plain,
% 8.96/6.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20526,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20527,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20526, 20525])).
% 8.96/6.62 tff(20528,plain,
% 8.96/6.62 (~m_main_v_state1(s256, c_n1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20527, 10, 20524])).
% 8.96/6.62 tff(20529,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s256, c_n1) | (~node1(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s256, c_n1) | (~node1(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20530,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s256, c_n1) | (~node1(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20531,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s256, c_n1) | (~node1(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20530, 20529])).
% 8.96/6.62 tff(20532,plain,
% 8.96/6.62 (~node1(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20531, 421, 20528])).
% 8.96/6.62 tff(20533,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s255, s256)) | node18(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s255, s256)) | node18(s255, s256))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20534,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s255, s256)) | node18(s255, s256))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20535,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s255, s256)) | node18(s255, s256)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 8.96/6.62 tff(20536,plain,
% 8.96/6.62 (node18(s255, s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20535, 125, 20515])).
% 8.96/6.62 tff(20537,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20538,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20539,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 8.96/6.62 tff(20540,plain,
% 8.96/6.62 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_turn(s256, c_2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20539, 760, 20536])).
% 8.96/6.62 tff(20541,plain,
% 8.96/6.62 (m_main_v_turn(s256, c_2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20540, 20508, 20452])).
% 8.96/6.62 tff(20542,plain,
% 8.96/6.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20543,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20544,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 8.96/6.62 tff(20545,plain,
% 8.96/6.62 (~m_main_v_turn(s256, c_1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20544, 156, 20541])).
% 8.96/6.62 tff(20546,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s256, c_1) | (~node5(s256)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s256, c_1) | (~node5(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20547,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s256, c_1) | (~node5(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20548,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s256, c_1) | (~node5(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20547, 20546])).
% 8.96/6.62 tff(20549,plain,
% 8.96/6.62 (~node5(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20548, 776, 20545])).
% 8.96/6.62 tff(20550,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s256, c_n1) | (~node2(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s256, c_n1) | (~node2(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20551,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s256, c_n1) | (~node2(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20552,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s256, c_n1) | (~node2(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20551, 20550])).
% 8.96/6.62 tff(20553,plain,
% 8.96/6.62 (~node2(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20552, 787, 20528])).
% 8.96/6.62 tff(20554,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s256, c_n1) | (~node3(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s256, c_n1) | (~node3(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20555,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s256, c_n1) | (~node3(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20556,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s256, c_n1) | (~node3(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 8.96/6.62 tff(20557,plain,
% 8.96/6.62 (~node3(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20556, 798, 20528])).
% 8.96/6.62 tff(20558,plain,
% 8.96/6.62 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20559,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20560,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 8.96/6.62 tff(20561,plain,
% 8.96/6.62 (~m_main_v_state1(s256, c_c1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20560, 539, 20524])).
% 8.96/6.62 tff(20562,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20563,plain,
% 8.96/6.62 (((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2))) <=> (m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20564,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255))))),
% 8.96/6.62 inference(monotonicity,[status(thm)],[20563])).
% 8.96/6.62 tff(20565,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 8.96/6.62 inference(transitivity,[status(thm)],[20564, 20562])).
% 8.96/6.62 tff(20566,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20567,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 8.96/6.62 tff(20568,plain,
% 8.96/6.62 (~m_main_v_state2(s255, c_n2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20567, 311, 20409, 20501])).
% 8.96/6.62 tff(20569,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s255, c_n2) | (~node9(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s255, c_n2) | (~node9(s255)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20570,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s255, c_n2) | (~node9(s255)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20571,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s255, c_n2) | (~node9(s255))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 8.96/6.62 tff(20572,plain,
% 8.96/6.62 (~node9(s255)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20571, 88, 20568])).
% 8.96/6.62 tff(20573,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s255, c_n2) | (~node10(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s255, c_n2) | (~node10(s255)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20574,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s255, c_n2) | (~node10(s255)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20575,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s255, c_n2) | (~node10(s255))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 8.96/6.62 tff(20576,plain,
% 8.96/6.62 (~node10(s255)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20575, 249, 20568])).
% 8.96/6.62 tff(20577,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s255, c_n2) | (~node8(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s255, c_n2) | (~node8(s255)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20578,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s255, c_n2) | (~node8(s255)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20579,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s255, c_n2) | (~node8(s255))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 8.96/6.62 tff(20580,plain,
% 8.96/6.62 (~node8(s255)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20579, 271, 20568])).
% 8.96/6.62 tff(20581,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s255, s256)) | node14(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s255, s256)) | node14(s255, s256))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20582,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s255, s256)) | node14(s255, s256))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20583,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s255, s256)) | node14(s255, s256)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20582, 20581])).
% 8.96/6.62 tff(20584,plain,
% 8.96/6.62 (node14(s255, s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20583, 46, 20515])).
% 8.96/6.62 tff(20585,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20586,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20587,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 8.96/6.62 tff(20588,plain,
% 8.96/6.62 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | m_main_v_state2(s256, c_c2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20587, 617, 20584])).
% 8.96/6.62 tff(20589,plain,
% 8.96/6.62 (m_main_v_state2(s256, c_c2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20588, 20580, 20452, 20508, 20576, 20572])).
% 8.96/6.62 tff(20590,plain,
% 8.96/6.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20591,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20592,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20591, 20590])).
% 8.96/6.62 tff(20593,plain,
% 8.96/6.62 (~m_main_v_state2(s256, c_n2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20592, 697, 20589])).
% 8.96/6.62 tff(20594,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s256, c_n2) | (~node4(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s256, c_n2) | (~node4(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20595,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s256, c_n2) | (~node4(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20596,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s256, c_n2) | (~node4(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 8.96/6.62 tff(20597,plain,
% 8.96/6.62 (~node4(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20596, 388, 20593])).
% 8.96/6.62 tff(20598,plain,
% 8.96/6.62 (succ(s256, s257) <=> succ(s256, s257)),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20599,axiom,(succ(s256, s257)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound257')).
% 8.96/6.62 tff(20600,plain,
% 8.96/6.62 (succ(s256, s257)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20599, 20598])).
% 8.96/6.62 tff(20601,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20602,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20603,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 8.96/6.62 tff(20604,plain,
% 8.96/6.62 (trans(s256, s257)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20603, 20600, 32])).
% 8.96/6.62 tff(20605,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s256, s257)) | node7(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s256, s257)) | node7(s256, s257))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20606,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s256, s257)) | node7(s256, s257))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20607,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s256, s257)) | node7(s256, s257)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20606, 20605])).
% 8.96/6.62 tff(20608,plain,
% 8.96/6.62 (node7(s256, s257)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20607, 206, 20604])).
% 8.96/6.62 tff(20609,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20610,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20611,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 8.96/6.62 tff(20612,plain,
% 8.96/6.62 (m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20611, 820, 20608])).
% 8.96/6.62 tff(20613,plain,
% 8.96/6.62 (node6(s256, s257)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20612, 20597, 20561, 20557, 20553, 20549, 20532])).
% 8.96/6.62 tff(20614,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20615,plain,
% 8.96/6.62 (((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1)) <=> ((~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20616,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257))))),
% 8.96/6.62 inference(monotonicity,[status(thm)],[20615])).
% 8.96/6.62 tff(20617,plain,
% 8.96/6.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 8.96/6.62 inference(transitivity,[status(thm)],[20616, 20614])).
% 8.96/6.62 tff(20618,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20619,plain,
% 8.96/6.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20618, 20617])).
% 8.96/6.62 tff(20620,plain,
% 8.96/6.62 (m_main_v_state1(s257, c_t1)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20619, 856, 20524, 20613])).
% 8.96/6.62 tff(20621,plain,
% 8.96/6.62 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20622,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20623,plain,
% 8.96/6.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20622, 20621])).
% 8.96/6.62 tff(20624,plain,
% 8.96/6.62 (~m_main_v_state2(s256, c_t2)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20623, 260, 20589])).
% 8.96/6.62 tff(20625,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s256, c_t2) | (~node12(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s256, c_t2) | (~node12(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20626,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s256, c_t2) | (~node12(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20627,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s256, c_t2) | (~node12(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20626, 20625])).
% 8.96/6.62 tff(20628,plain,
% 8.96/6.62 (~node12(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20627, 633, 20624])).
% 8.96/6.62 tff(20629,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s256, c_n1) | (~node11(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s256, c_n1) | (~node11(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20630,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s256, c_n1) | (~node11(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20631,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s256, c_n1) | (~node11(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20630, 20629])).
% 8.96/6.62 tff(20632,plain,
% 8.96/6.62 (~node11(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20631, 238, 20528])).
% 8.96/6.62 tff(20633,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s256, c_c1) | (~node10(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s256, c_c1) | (~node10(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20634,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s256, c_c1) | (~node10(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20635,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s256, c_c1) | (~node10(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 8.96/6.62 tff(20636,plain,
% 8.96/6.62 (~node10(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20635, 675, 20561])).
% 8.96/6.62 tff(20637,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s256, c_n1) | (~node9(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s256, c_n1) | (~node9(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20638,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s256, c_n1) | (~node9(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20639,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s256, c_n1) | (~node9(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20638, 20637])).
% 8.96/6.62 tff(20640,plain,
% 8.96/6.62 (~node9(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20639, 686, 20528])).
% 8.96/6.62 tff(20641,plain,
% 8.96/6.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s256, c_n2) | (~node8(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s256, c_n2) | (~node8(s256)))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20642,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s256, c_n2) | (~node8(s256)))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20643,plain,
% 8.96/6.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s256, c_n2) | (~node8(s256))),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20642, 20641])).
% 8.96/6.62 tff(20644,plain,
% 8.96/6.62 (~node8(s256)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20643, 271, 20593])).
% 8.96/6.62 tff(20645,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s256, s257)) | node14(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s256, s257)) | node14(s256, s257))),
% 8.96/6.62 inference(rewrite,[status(thm)],[])).
% 8.96/6.62 tff(20646,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s256, s257)) | node14(s256, s257))),
% 8.96/6.62 inference(quant_inst,[status(thm)],[])).
% 8.96/6.62 tff(20647,plain,
% 8.96/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s256, s257)) | node14(s256, s257)),
% 8.96/6.62 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 8.96/6.62 tff(20648,plain,
% 8.96/6.62 (node14(s256, s257)),
% 8.96/6.62 inference(unit_resolution,[status(thm)],[20647, 46, 20604])).
% 8.96/6.62 tff(20649,plain,
% 8.96/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20650,plain,
% 8.96/6.63 (((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2)) <=> (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20651,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2))))),
% 8.96/6.63 inference(monotonicity,[status(thm)],[20650])).
% 8.96/6.63 tff(20652,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 8.96/6.63 inference(transitivity,[status(thm)],[20651, 20649])).
% 8.96/6.63 tff(20653,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20654,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 8.96/6.63 tff(20655,plain,
% 8.96/6.63 (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~m_main_v_state2(s256, c_c2))),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20654, 726, 20648])).
% 8.96/6.63 tff(20656,plain,
% 8.96/6.63 (m_main_v_state2(s257, c_n2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20655, 20644, 20589, 20640, 20636, 20632, 20628])).
% 8.96/6.63 tff(20657,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20658,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20659,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 8.96/6.63 tff(20660,plain,
% 8.96/6.63 (~m_main_v_state2(s257, c_t2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20659, 77, 20656])).
% 8.96/6.63 tff(20661,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s257, c_t2) | (~node15(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s257, c_t2) | (~node15(s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20662,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s257, c_t2) | (~node15(s257)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20663,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s257, c_t2) | (~node15(s257))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 8.96/6.63 tff(20664,plain,
% 8.96/6.63 (~node15(s257)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20663, 103, 20660])).
% 8.96/6.63 tff(20665,plain,
% 8.96/6.63 (succ(s257, s258) <=> succ(s257, s258)),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20666,axiom,(succ(s257, s258)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound258')).
% 8.96/6.63 tff(20667,plain,
% 8.96/6.63 (succ(s257, s258)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 8.96/6.63 tff(20668,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20669,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20670,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 8.96/6.63 tff(20671,plain,
% 8.96/6.63 (trans(s257, s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20670, 20667, 32])).
% 8.96/6.63 tff(20672,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s257, s258)) | node18(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s257, s258)) | node18(s257, s258))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20673,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s257, s258)) | node18(s257, s258))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20674,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s257, s258)) | node18(s257, s258)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 8.96/6.63 tff(20675,plain,
% 8.96/6.63 (node18(s257, s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20674, 125, 20671])).
% 8.96/6.63 tff(20676,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20677,plain,
% 8.96/6.63 (((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1)) <=> (node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20678,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)))),
% 8.96/6.63 inference(monotonicity,[status(thm)],[20677])).
% 8.96/6.63 tff(20679,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 8.96/6.63 inference(transitivity,[status(thm)],[20678, 20676])).
% 8.96/6.63 tff(20680,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20681,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20680, 20679])).
% 8.96/6.63 tff(20682,plain,
% 8.96/6.63 (node15(s257) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20681, 992, 20675])).
% 8.96/6.63 tff(20683,plain,
% 8.96/6.63 (m_main_v_turn(s258, c_1)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20682, 20664, 20656, 20620])).
% 8.96/6.63 tff(20684,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20685,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20686,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20685, 20684])).
% 8.96/6.63 tff(20687,plain,
% 8.96/6.63 (~m_main_v_turn(s258, c_2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20686, 156, 20683])).
% 8.96/6.63 tff(20688,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s258, c_2) | (~node12(s258)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s258, c_2) | (~node12(s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20689,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s258, c_2) | (~node12(s258)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20690,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s258, c_2) | (~node12(s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20689, 20688])).
% 8.96/6.63 tff(20691,plain,
% 8.96/6.63 (~node12(s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20690, 184, 20687])).
% 8.96/6.63 tff(20692,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s257, s258)) | node14(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s257, s258)) | node14(s257, s258))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20693,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s257, s258)) | node14(s257, s258))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20694,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s257, s258)) | node14(s257, s258)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 8.96/6.63 tff(20695,plain,
% 8.96/6.63 (node14(s257, s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20694, 46, 20671])).
% 8.96/6.63 tff(20696,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20697,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20698,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20697, 20696])).
% 8.96/6.63 tff(20699,plain,
% 8.96/6.63 ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state2(s258, c_t2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20698, 922, 20695])).
% 8.96/6.63 tff(20700,plain,
% 8.96/6.63 (m_main_v_state2(s258, c_t2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20699, 20620, 20656])).
% 8.96/6.63 tff(20701,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20702,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20703,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20702, 20701])).
% 8.96/6.63 tff(20704,plain,
% 8.96/6.63 (~m_main_v_state2(s258, c_n2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20703, 77, 20700])).
% 8.96/6.63 tff(20705,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s258, c_n2) | (~node8(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s258, c_n2) | (~node8(s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20706,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s258, c_n2) | (~node8(s258)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20707,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s258, c_n2) | (~node8(s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20706, 20705])).
% 8.96/6.63 tff(20708,plain,
% 8.96/6.63 (~node8(s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20707, 271, 20704])).
% 8.96/6.63 tff(20709,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s258, c_n2) | (~node9(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s258, c_n2) | (~node9(s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20710,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s258, c_n2) | (~node9(s258)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20711,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s258, c_n2) | (~node9(s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20710, 20709])).
% 8.96/6.63 tff(20712,plain,
% 8.96/6.63 (~node9(s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20711, 88, 20704])).
% 8.96/6.63 tff(20713,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s258, c_n2) | (~node10(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s258, c_n2) | (~node10(s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20714,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s258, c_n2) | (~node10(s258)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20715,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s258, c_n2) | (~node10(s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20714, 20713])).
% 8.96/6.63 tff(20716,plain,
% 8.96/6.63 (~node10(s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20715, 249, 20704])).
% 8.96/6.63 tff(20717,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20718,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20719,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20718, 20717])).
% 8.96/6.63 tff(20720,plain,
% 8.96/6.63 (~m_main_v_state2(s258, c_c2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20719, 260, 20700])).
% 8.96/6.63 tff(20721,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20722,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20723,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 8.96/6.63 tff(20724,plain,
% 8.96/6.63 (~m_main_v_state2(s257, c_c2)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20723, 697, 20656])).
% 8.96/6.63 tff(20725,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s257, c_c2) | (~node3(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s257, c_c2) | (~node3(s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20726,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s257, c_c2) | (~node3(s257)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20727,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s257, c_c2) | (~node3(s257))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 8.96/6.63 tff(20728,plain,
% 8.96/6.63 (~node3(s257)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20727, 399, 20724])).
% 8.96/6.63 tff(20729,plain,
% 8.96/6.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20730,plain,
% 8.96/6.63 (((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1))) <=> (m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20731,plain,
% 8.96/6.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257))))),
% 8.96/6.63 inference(monotonicity,[status(thm)],[20730])).
% 8.96/6.63 tff(20732,plain,
% 8.96/6.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 8.96/6.63 inference(transitivity,[status(thm)],[20731, 20729])).
% 8.96/6.63 tff(20733,plain,
% 8.96/6.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20734,plain,
% 8.96/6.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20733, 20732])).
% 8.96/6.63 tff(20735,plain,
% 8.96/6.63 (~m_main_v_state1(s257, c_n1)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20734, 835, 20528, 20613])).
% 8.96/6.63 tff(20736,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s257, c_n1) | (~node2(s257)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s257, c_n1) | (~node2(s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20737,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s257, c_n1) | (~node2(s257)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20738,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s257, c_n1) | (~node2(s257))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 8.96/6.63 tff(20739,plain,
% 8.96/6.63 (~node2(s257)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20738, 787, 20735])).
% 8.96/6.63 tff(20740,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s257, c_t2) | (~node1(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s257, c_t2) | (~node1(s257)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20741,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s257, c_t2) | (~node1(s257)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20742,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s257, c_t2) | (~node1(s257))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20741, 20740])).
% 8.96/6.63 tff(20743,plain,
% 8.96/6.63 (~node1(s257)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20742, 195, 20660])).
% 8.96/6.63 tff(20744,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s257, s258)) | node7(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s257, s258)) | node7(s257, s258))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20745,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s257, s258)) | node7(s257, s258))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20746,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s257, s258)) | node7(s257, s258)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20745, 20744])).
% 8.96/6.63 tff(20747,plain,
% 8.96/6.63 (node7(s257, s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20746, 206, 20671])).
% 8.96/6.63 tff(20748,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20749,plain,
% 8.96/6.63 (((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1)) <=> ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20750,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258))))),
% 8.96/6.63 inference(monotonicity,[status(thm)],[20749])).
% 8.96/6.63 tff(20751,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 8.96/6.63 inference(transitivity,[status(thm)],[20750, 20748])).
% 8.96/6.63 tff(20752,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20753,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20752, 20751])).
% 8.96/6.63 tff(20754,plain,
% 8.96/6.63 ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20753, 892, 20747])).
% 8.96/6.63 tff(20755,plain,
% 8.96/6.63 (m_main_v_state1(s258, c_c1)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20754, 20743, 20656, 20620, 20739, 20728])).
% 8.96/6.63 tff(20756,plain,
% 8.96/6.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20757,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20758,plain,
% 8.96/6.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 8.96/6.63 tff(20759,plain,
% 8.96/6.63 (~m_main_v_state1(s258, c_n1)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20758, 454, 20755])).
% 8.96/6.63 tff(20760,plain,
% 8.96/6.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s258, c_n1) | (~node11(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s258, c_n1) | (~node11(s258)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20761,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s258, c_n1) | (~node11(s258)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20762,plain,
% 8.96/6.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s258, c_n1) | (~node11(s258))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20761, 20760])).
% 8.96/6.63 tff(20763,plain,
% 8.96/6.63 (~node11(s258)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20762, 238, 20759])).
% 8.96/6.63 tff(20764,plain,
% 8.96/6.63 (succ(s258, s259) <=> succ(s258, s259)),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20765,axiom,(succ(s258, s259)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound259')).
% 8.96/6.63 tff(20766,plain,
% 8.96/6.63 (succ(s258, s259)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 8.96/6.63 tff(20767,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20768,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20769,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20768, 20767])).
% 8.96/6.63 tff(20770,plain,
% 8.96/6.63 (trans(s258, s259)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20769, 20766, 32])).
% 8.96/6.63 tff(20771,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s258, s259)) | node14(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s258, s259)) | node14(s258, s259))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20772,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s258, s259)) | node14(s258, s259))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20773,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s258, s259)) | node14(s258, s259)),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20772, 20771])).
% 8.96/6.63 tff(20774,plain,
% 8.96/6.63 (node14(s258, s259)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20773, 46, 20770])).
% 8.96/6.63 tff(20775,plain,
% 8.96/6.63 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))),
% 8.96/6.63 inference(rewrite,[status(thm)],[])).
% 8.96/6.63 tff(20776,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))),
% 8.96/6.63 inference(quant_inst,[status(thm)],[])).
% 8.96/6.63 tff(20777,plain,
% 8.96/6.63 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259))),
% 8.96/6.63 inference(modus_ponens,[status(thm)],[20776, 20775])).
% 8.96/6.63 tff(20778,plain,
% 8.96/6.63 (m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20777, 296, 20774])).
% 8.96/6.63 tff(20779,plain,
% 8.96/6.63 (node13(s258, s259)),
% 8.96/6.63 inference(unit_resolution,[status(thm)],[20778, 20763, 20720, 20716, 20712, 20708, 20691])).
% 8.96/6.63 tff(20780,plain,
% 8.96/6.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20781,plain,
% 8.96/6.64 (((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2))) <=> (m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20782,plain,
% 8.96/6.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259))))),
% 8.96/6.64 inference(monotonicity,[status(thm)],[20781])).
% 8.96/6.64 tff(20783,plain,
% 8.96/6.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 8.96/6.64 inference(transitivity,[status(thm)],[20782, 20780])).
% 8.96/6.64 tff(20784,plain,
% 8.96/6.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20785,plain,
% 8.96/6.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20784, 20783])).
% 8.96/6.64 tff(20786,plain,
% 8.96/6.64 (~m_main_v_state2(s259, c_n2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20785, 311, 20704, 20779])).
% 8.96/6.64 tff(20787,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s259, c_n2) | (~node9(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s259, c_n2) | (~node9(s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20788,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s259, c_n2) | (~node9(s259)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20789,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s259, c_n2) | (~node9(s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 8.96/6.64 tff(20790,plain,
% 8.96/6.64 (~node9(s259)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20789, 88, 20786])).
% 8.96/6.64 tff(20791,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s259, c_n2) | (~node10(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s259, c_n2) | (~node10(s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20792,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s259, c_n2) | (~node10(s259)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20793,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s259, c_n2) | (~node10(s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20792, 20791])).
% 8.96/6.64 tff(20794,plain,
% 8.96/6.64 (~node10(s259)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20793, 249, 20786])).
% 8.96/6.64 tff(20795,plain,
% 8.96/6.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20796,plain,
% 8.96/6.64 (((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2)) <=> ((~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20797,plain,
% 8.96/6.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259))))),
% 8.96/6.64 inference(monotonicity,[status(thm)],[20796])).
% 8.96/6.64 tff(20798,plain,
% 8.96/6.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 8.96/6.64 inference(transitivity,[status(thm)],[20797, 20795])).
% 8.96/6.64 tff(20799,plain,
% 8.96/6.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20800,plain,
% 8.96/6.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 8.96/6.64 tff(20801,plain,
% 8.96/6.64 (m_main_v_state2(s259, c_t2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20800, 518, 20700, 20779])).
% 8.96/6.64 tff(20802,plain,
% 8.96/6.64 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20803,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20804,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 8.96/6.64 tff(20805,plain,
% 8.96/6.64 (~m_main_v_state1(s258, c_t1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20804, 539, 20755])).
% 8.96/6.64 tff(20806,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s258, c_t1) | (~node5(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s258, c_t1) | (~node5(s258)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20807,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s258, c_t1) | (~node5(s258)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20808,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s258, c_t1) | (~node5(s258))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20807, 20806])).
% 8.96/6.64 tff(20809,plain,
% 8.96/6.64 (~node5(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20808, 550, 20805])).
% 8.96/6.64 tff(20810,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s258, c_n2) | (~node4(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s258, c_n2) | (~node4(s258)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20811,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s258, c_n2) | (~node4(s258)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20812,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s258, c_n2) | (~node4(s258))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 8.96/6.64 tff(20813,plain,
% 8.96/6.64 (~node4(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20812, 388, 20704])).
% 8.96/6.64 tff(20814,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s258, c_c2) | (~node3(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s258, c_c2) | (~node3(s258)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20815,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s258, c_c2) | (~node3(s258)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20816,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s258, c_c2) | (~node3(s258))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 8.96/6.64 tff(20817,plain,
% 8.96/6.64 (~node3(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20816, 399, 20720])).
% 8.96/6.64 tff(20818,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s258, c_n2) | (~node2(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s258, c_n2) | (~node2(s258)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20819,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s258, c_n2) | (~node2(s258)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20820,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s258, c_n2) | (~node2(s258))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 8.96/6.64 tff(20821,plain,
% 8.96/6.64 (~node2(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20820, 410, 20704])).
% 8.96/6.64 tff(20822,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s258, c_n1) | (~node1(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s258, c_n1) | (~node1(s258)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20823,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s258, c_n1) | (~node1(s258)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20824,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s258, c_n1) | (~node1(s258))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20823, 20822])).
% 8.96/6.64 tff(20825,plain,
% 8.96/6.64 (~node1(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20824, 421, 20759])).
% 8.96/6.64 tff(20826,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s258, s259)) | node7(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s258, s259)) | node7(s258, s259))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20827,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s258, s259)) | node7(s258, s259))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20828,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s258, s259)) | node7(s258, s259)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20827, 20826])).
% 8.96/6.64 tff(20829,plain,
% 8.96/6.64 (node7(s258, s259)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20828, 206, 20770])).
% 8.96/6.64 tff(20830,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20831,plain,
% 8.96/6.64 (((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1)) <=> (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20832,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259))))),
% 8.96/6.64 inference(monotonicity,[status(thm)],[20831])).
% 8.96/6.64 tff(20833,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 8.96/6.64 inference(transitivity,[status(thm)],[20832, 20830])).
% 8.96/6.64 tff(20834,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20835,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 8.96/6.64 tff(20836,plain,
% 8.96/6.64 (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20835, 584, 20829])).
% 8.96/6.64 tff(20837,plain,
% 8.96/6.64 (m_main_v_state1(s259, c_n1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20836, 20825, 20755, 20821, 20817, 20813, 20809])).
% 8.96/6.64 tff(20838,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s259, c_n2) | (~node8(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s259, c_n2) | (~node8(s259)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20839,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s259, c_n2) | (~node8(s259)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20840,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s259, c_n2) | (~node8(s259))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 8.96/6.64 tff(20841,plain,
% 8.96/6.64 (~node8(s259)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20840, 271, 20786])).
% 8.96/6.64 tff(20842,plain,
% 8.96/6.64 (succ(s259, s260) <=> succ(s259, s260)),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20843,axiom,(succ(s259, s260)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound260')).
% 8.96/6.64 tff(20844,plain,
% 8.96/6.64 (succ(s259, s260)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20843, 20842])).
% 8.96/6.64 tff(20845,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20846,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20847,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20846, 20845])).
% 8.96/6.64 tff(20848,plain,
% 8.96/6.64 (trans(s259, s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20847, 20844, 32])).
% 8.96/6.64 tff(20849,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s259, s260)) | node14(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s259, s260)) | node14(s259, s260))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20850,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s259, s260)) | node14(s259, s260))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20851,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s259, s260)) | node14(s259, s260)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 8.96/6.64 tff(20852,plain,
% 8.96/6.64 (node14(s259, s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20851, 46, 20848])).
% 8.96/6.64 tff(20853,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20854,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20855,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 8.96/6.64 tff(20856,plain,
% 8.96/6.64 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | m_main_v_state2(s260, c_c2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20855, 617, 20852])).
% 8.96/6.64 tff(20857,plain,
% 8.96/6.64 (m_main_v_state2(s260, c_c2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20856, 20841, 20837, 20801, 20794, 20790])).
% 8.96/6.64 tff(20858,plain,
% 8.96/6.64 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20859,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20860,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 8.96/6.64 tff(20861,plain,
% 8.96/6.64 (~m_main_v_state2(s260, c_t2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20860, 260, 20857])).
% 8.96/6.64 tff(20862,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s260, c_t2) | (~node12(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s260, c_t2) | (~node12(s260)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20863,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s260, c_t2) | (~node12(s260)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20864,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s260, c_t2) | (~node12(s260))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 8.96/6.64 tff(20865,plain,
% 8.96/6.64 (~node12(s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20864, 633, 20861])).
% 8.96/6.64 tff(20866,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s259, s260)) | node7(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s259, s260)) | node7(s259, s260))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20867,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s259, s260)) | node7(s259, s260))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20868,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s259, s260)) | node7(s259, s260)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20867, 20866])).
% 8.96/6.64 tff(20869,plain,
% 8.96/6.64 (node7(s259, s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20868, 206, 20848])).
% 8.96/6.64 tff(20870,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20871,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20872,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 8.96/6.64 tff(20873,plain,
% 8.96/6.64 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_state1(s260, c_t1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20872, 651, 20869])).
% 8.96/6.64 tff(20874,plain,
% 8.96/6.64 (m_main_v_state1(s260, c_t1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20873, 20801, 20837])).
% 8.96/6.64 tff(20875,plain,
% 8.96/6.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20876,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20877,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20876, 20875])).
% 8.96/6.64 tff(20878,plain,
% 8.96/6.64 (~m_main_v_state1(s260, c_n1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20877, 10, 20874])).
% 8.96/6.64 tff(20879,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s260, c_n1) | (~node11(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s260, c_n1) | (~node11(s260)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20880,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s260, c_n1) | (~node11(s260)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20881,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s260, c_n1) | (~node11(s260))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 8.96/6.64 tff(20882,plain,
% 8.96/6.64 (~node11(s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20881, 238, 20878])).
% 8.96/6.64 tff(20883,plain,
% 8.96/6.64 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20884,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20885,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20884, 20883])).
% 8.96/6.64 tff(20886,plain,
% 8.96/6.64 (~m_main_v_state1(s260, c_c1)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20885, 539, 20874])).
% 8.96/6.64 tff(20887,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s260, c_c1) | (~node10(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s260, c_c1) | (~node10(s260)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20888,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s260, c_c1) | (~node10(s260)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20889,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s260, c_c1) | (~node10(s260))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20888, 20887])).
% 8.96/6.64 tff(20890,plain,
% 8.96/6.64 (~node10(s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20889, 675, 20886])).
% 8.96/6.64 tff(20891,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s260, c_n1) | (~node9(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s260, c_n1) | (~node9(s260)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20892,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s260, c_n1) | (~node9(s260)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20893,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s260, c_n1) | (~node9(s260))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20892, 20891])).
% 8.96/6.64 tff(20894,plain,
% 8.96/6.64 (~node9(s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20893, 686, 20878])).
% 8.96/6.64 tff(20895,plain,
% 8.96/6.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20896,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20897,plain,
% 8.96/6.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 8.96/6.64 tff(20898,plain,
% 8.96/6.64 (~m_main_v_state2(s260, c_n2)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20897, 697, 20857])).
% 8.96/6.64 tff(20899,plain,
% 8.96/6.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s260, c_n2) | (~node8(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s260, c_n2) | (~node8(s260)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20900,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s260, c_n2) | (~node8(s260)))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20901,plain,
% 8.96/6.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s260, c_n2) | (~node8(s260))),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20900, 20899])).
% 8.96/6.64 tff(20902,plain,
% 8.96/6.64 (~node8(s260)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20901, 271, 20898])).
% 8.96/6.64 tff(20903,plain,
% 8.96/6.64 (succ(s260, s261) <=> succ(s260, s261)),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20904,axiom,(succ(s260, s261)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound261')).
% 8.96/6.64 tff(20905,plain,
% 8.96/6.64 (succ(s260, s261)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 8.96/6.64 tff(20906,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20907,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20908,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20907, 20906])).
% 8.96/6.64 tff(20909,plain,
% 8.96/6.64 (trans(s260, s261)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20908, 20905, 32])).
% 8.96/6.64 tff(20910,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s260, s261)) | node14(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s260, s261)) | node14(s260, s261))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20911,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s260, s261)) | node14(s260, s261))),
% 8.96/6.64 inference(quant_inst,[status(thm)],[])).
% 8.96/6.64 tff(20912,plain,
% 8.96/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s260, s261)) | node14(s260, s261)),
% 8.96/6.64 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 8.96/6.64 tff(20913,plain,
% 8.96/6.64 (node14(s260, s261)),
% 8.96/6.64 inference(unit_resolution,[status(thm)],[20912, 46, 20909])).
% 8.96/6.64 tff(20914,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20915,plain,
% 8.96/6.64 (((~m_main_v_state2(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2)) <=> (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.64 inference(rewrite,[status(thm)],[])).
% 8.96/6.64 tff(20916,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2))))),
% 8.96/6.64 inference(monotonicity,[status(thm)],[20915])).
% 8.96/6.64 tff(20917,plain,
% 8.96/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 8.96/6.65 inference(transitivity,[status(thm)],[20916, 20914])).
% 8.96/6.65 tff(20918,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20919,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20918, 20917])).
% 8.96/6.65 tff(20920,plain,
% 8.96/6.65 (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~m_main_v_state2(s260, c_c2))),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20919, 726, 20913])).
% 8.96/6.65 tff(20921,plain,
% 8.96/6.65 (m_main_v_state2(s261, c_n2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20920, 20902, 20857, 20894, 20890, 20882, 20865])).
% 8.96/6.65 tff(20922,plain,
% 8.96/6.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20923,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20924,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 8.96/6.65 tff(20925,plain,
% 8.96/6.65 (~m_main_v_state2(s261, c_c2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20924, 697, 20921])).
% 8.96/6.65 tff(20926,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s261, c_c2) | (~node3(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s261, c_c2) | (~node3(s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20927,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s261, c_c2) | (~node3(s261)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20928,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s261, c_c2) | (~node3(s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20927, 20926])).
% 8.96/6.65 tff(20929,plain,
% 8.96/6.65 (~node3(s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20928, 399, 20925])).
% 8.96/6.65 tff(20930,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s260, c_n1) | (~node1(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s260, c_n1) | (~node1(s260)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20931,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s260, c_n1) | (~node1(s260)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20932,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s260, c_n1) | (~node1(s260))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20931, 20930])).
% 8.96/6.65 tff(20933,plain,
% 8.96/6.65 (~node1(s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20932, 421, 20878])).
% 8.96/6.65 tff(20934,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s259, s260)) | node18(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s259, s260)) | node18(s259, s260))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20935,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s259, s260)) | node18(s259, s260))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20936,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s259, s260)) | node18(s259, s260)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 8.96/6.65 tff(20937,plain,
% 8.96/6.65 (node18(s259, s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20936, 125, 20848])).
% 8.96/6.65 tff(20938,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20939,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20940,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20939, 20938])).
% 8.96/6.65 tff(20941,plain,
% 8.96/6.65 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_turn(s260, c_2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20940, 760, 20937])).
% 8.96/6.65 tff(20942,plain,
% 8.96/6.65 (m_main_v_turn(s260, c_2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20941, 20801, 20837])).
% 8.96/6.65 tff(20943,plain,
% 8.96/6.65 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20944,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20945,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 8.96/6.65 tff(20946,plain,
% 8.96/6.65 (~m_main_v_turn(s260, c_1)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20945, 156, 20942])).
% 8.96/6.65 tff(20947,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s260, c_1) | (~node5(s260)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s260, c_1) | (~node5(s260)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20948,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s260, c_1) | (~node5(s260)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20949,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s260, c_1) | (~node5(s260))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20948, 20947])).
% 8.96/6.65 tff(20950,plain,
% 8.96/6.65 (~node5(s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20949, 776, 20946])).
% 8.96/6.65 tff(20951,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s260, c_n1) | (~node2(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s260, c_n1) | (~node2(s260)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20952,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s260, c_n1) | (~node2(s260)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20953,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s260, c_n1) | (~node2(s260))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 8.96/6.65 tff(20954,plain,
% 8.96/6.65 (~node2(s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20953, 787, 20878])).
% 8.96/6.65 tff(20955,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s260, c_n1) | (~node3(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s260, c_n1) | (~node3(s260)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20956,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s260, c_n1) | (~node3(s260)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20957,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s260, c_n1) | (~node3(s260))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20956, 20955])).
% 8.96/6.65 tff(20958,plain,
% 8.96/6.65 (~node3(s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20957, 798, 20878])).
% 8.96/6.65 tff(20959,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s260, c_n2) | (~node4(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s260, c_n2) | (~node4(s260)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20960,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s260, c_n2) | (~node4(s260)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20961,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s260, c_n2) | (~node4(s260))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20960, 20959])).
% 8.96/6.65 tff(20962,plain,
% 8.96/6.65 (~node4(s260)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20961, 388, 20898])).
% 8.96/6.65 tff(20963,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s260, s261)) | node7(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s260, s261)) | node7(s260, s261))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20964,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s260, s261)) | node7(s260, s261))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20965,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s260, s261)) | node7(s260, s261)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 8.96/6.65 tff(20966,plain,
% 8.96/6.65 (node7(s260, s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20965, 206, 20909])).
% 8.96/6.65 tff(20967,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20968,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20969,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20968, 20967])).
% 8.96/6.65 tff(20970,plain,
% 8.96/6.65 (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20969, 820, 20966])).
% 8.96/6.65 tff(20971,plain,
% 8.96/6.65 (node6(s260, s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20970, 20962, 20886, 20958, 20954, 20950, 20933])).
% 8.96/6.65 tff(20972,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20973,plain,
% 8.96/6.65 (((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1))) <=> (m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20974,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261))))),
% 8.96/6.65 inference(monotonicity,[status(thm)],[20973])).
% 8.96/6.65 tff(20975,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 8.96/6.65 inference(transitivity,[status(thm)],[20974, 20972])).
% 8.96/6.65 tff(20976,plain,
% 8.96/6.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20977,plain,
% 8.96/6.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 8.96/6.65 tff(20978,plain,
% 8.96/6.65 (~m_main_v_state1(s261, c_n1)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20977, 835, 20878, 20971])).
% 8.96/6.65 tff(20979,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s261, c_n1) | (~node2(s261)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s261, c_n1) | (~node2(s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20980,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s261, c_n1) | (~node2(s261)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20981,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s261, c_n1) | (~node2(s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20980, 20979])).
% 8.96/6.65 tff(20982,plain,
% 8.96/6.65 (~node2(s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20981, 787, 20978])).
% 8.96/6.65 tff(20983,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20984,plain,
% 8.96/6.65 (((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1)) <=> ((~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20985,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261))))),
% 8.96/6.65 inference(monotonicity,[status(thm)],[20984])).
% 8.96/6.65 tff(20986,plain,
% 8.96/6.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 8.96/6.65 inference(transitivity,[status(thm)],[20985, 20983])).
% 8.96/6.65 tff(20987,plain,
% 8.96/6.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20988,plain,
% 8.96/6.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 8.96/6.65 tff(20989,plain,
% 8.96/6.65 (m_main_v_state1(s261, c_t1)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20988, 856, 20874, 20971])).
% 8.96/6.65 tff(20990,plain,
% 8.96/6.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20991,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20992,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 8.96/6.65 tff(20993,plain,
% 8.96/6.65 (~m_main_v_state2(s261, c_t2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20992, 77, 20921])).
% 8.96/6.65 tff(20994,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s261, c_t2) | (~node1(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s261, c_t2) | (~node1(s261)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20995,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s261, c_t2) | (~node1(s261)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(20996,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s261, c_t2) | (~node1(s261))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 8.96/6.65 tff(20997,plain,
% 8.96/6.65 (~node1(s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[20996, 195, 20993])).
% 8.96/6.65 tff(20998,plain,
% 8.96/6.65 (succ(s261, s262) <=> succ(s261, s262)),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(20999,axiom,(succ(s261, s262)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound262')).
% 8.96/6.65 tff(21000,plain,
% 8.96/6.65 (succ(s261, s262)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 8.96/6.65 tff(21001,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21002,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21003,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 8.96/6.65 tff(21004,plain,
% 8.96/6.65 (trans(s261, s262)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21003, 21000, 32])).
% 8.96/6.65 tff(21005,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s261, s262)) | node7(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s261, s262)) | node7(s261, s262))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21006,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s261, s262)) | node7(s261, s262))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21007,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s261, s262)) | node7(s261, s262)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21006, 21005])).
% 8.96/6.65 tff(21008,plain,
% 8.96/6.65 (node7(s261, s262)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21007, 206, 21004])).
% 8.96/6.65 tff(21009,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21010,plain,
% 8.96/6.65 (((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1)) <=> ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21011,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262))))),
% 8.96/6.65 inference(monotonicity,[status(thm)],[21010])).
% 8.96/6.65 tff(21012,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 8.96/6.65 inference(transitivity,[status(thm)],[21011, 21009])).
% 8.96/6.65 tff(21013,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21014,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21013, 21012])).
% 8.96/6.65 tff(21015,plain,
% 8.96/6.65 ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21014, 892, 21008])).
% 8.96/6.65 tff(21016,plain,
% 8.96/6.65 (m_main_v_state1(s262, c_c1)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21015, 20997, 20921, 20989, 20982, 20929])).
% 8.96/6.65 tff(21017,plain,
% 8.96/6.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21018,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21019,plain,
% 8.96/6.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 8.96/6.65 tff(21020,plain,
% 8.96/6.65 (~m_main_v_state1(s262, c_t1)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21019, 539, 21016])).
% 8.96/6.65 tff(21021,plain,
% 8.96/6.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s262, c_t1) | (~node5(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s262, c_t1) | (~node5(s262)))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21022,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s262, c_t1) | (~node5(s262)))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21023,plain,
% 8.96/6.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s262, c_t1) | (~node5(s262))),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 8.96/6.65 tff(21024,plain,
% 8.96/6.65 (~node5(s262)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21023, 550, 21020])).
% 8.96/6.65 tff(21025,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s261, s262)) | node14(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s261, s262)) | node14(s261, s262))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21026,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s261, s262)) | node14(s261, s262))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21027,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s261, s262)) | node14(s261, s262)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21026, 21025])).
% 8.96/6.65 tff(21028,plain,
% 8.96/6.65 (node14(s261, s262)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21027, 46, 21004])).
% 8.96/6.65 tff(21029,plain,
% 8.96/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))),
% 8.96/6.65 inference(rewrite,[status(thm)],[])).
% 8.96/6.65 tff(21030,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))),
% 8.96/6.65 inference(quant_inst,[status(thm)],[])).
% 8.96/6.65 tff(21031,plain,
% 8.96/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2)),
% 8.96/6.65 inference(modus_ponens,[status(thm)],[21030, 21029])).
% 8.96/6.65 tff(21032,plain,
% 8.96/6.65 ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state2(s262, c_t2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21031, 922, 21028])).
% 8.96/6.65 tff(21033,plain,
% 8.96/6.65 (m_main_v_state2(s262, c_t2)),
% 8.96/6.65 inference(unit_resolution,[status(thm)],[21032, 20989, 20921])).
% 8.96/6.65 tff(21034,plain,
% 8.96/6.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))),
% 9.02/6.65 inference(rewrite,[status(thm)],[])).
% 9.02/6.65 tff(21035,plain,
% 9.02/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))),
% 9.02/6.65 inference(quant_inst,[status(thm)],[])).
% 9.02/6.65 tff(21036,plain,
% 9.02/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2))),
% 9.02/6.65 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 9.02/6.65 tff(21037,plain,
% 9.02/6.65 (~m_main_v_state2(s262, c_n2)),
% 9.02/6.65 inference(unit_resolution,[status(thm)],[21036, 77, 21033])).
% 9.02/6.65 tff(21038,plain,
% 9.02/6.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s262, c_n2) | (~node4(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s262, c_n2) | (~node4(s262)))),
% 9.02/6.65 inference(rewrite,[status(thm)],[])).
% 9.02/6.65 tff(21039,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s262, c_n2) | (~node4(s262)))),
% 9.02/6.65 inference(quant_inst,[status(thm)],[])).
% 9.02/6.65 tff(21040,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s262, c_n2) | (~node4(s262))),
% 9.02/6.65 inference(modus_ponens,[status(thm)],[21039, 21038])).
% 9.02/6.65 tff(21041,plain,
% 9.02/6.65 (~node4(s262)),
% 9.02/6.65 inference(unit_resolution,[status(thm)],[21040, 388, 21037])).
% 9.02/6.65 tff(21042,plain,
% 9.02/6.65 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))),
% 9.02/6.65 inference(rewrite,[status(thm)],[])).
% 9.02/6.65 tff(21043,plain,
% 9.02/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))),
% 9.02/6.65 inference(quant_inst,[status(thm)],[])).
% 9.02/6.65 tff(21044,plain,
% 9.02/6.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2))),
% 9.02/6.65 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 9.02/6.65 tff(21045,plain,
% 9.02/6.65 (~m_main_v_state2(s262, c_c2)),
% 9.02/6.65 inference(unit_resolution,[status(thm)],[21044, 260, 21033])).
% 9.02/6.65 tff(21046,plain,
% 9.02/6.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s262, c_c2) | (~node3(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s262, c_c2) | (~node3(s262)))),
% 9.02/6.65 inference(rewrite,[status(thm)],[])).
% 9.02/6.65 tff(21047,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s262, c_c2) | (~node3(s262)))),
% 9.02/6.65 inference(quant_inst,[status(thm)],[])).
% 9.02/6.65 tff(21048,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s262, c_c2) | (~node3(s262))),
% 9.02/6.65 inference(modus_ponens,[status(thm)],[21047, 21046])).
% 9.02/6.65 tff(21049,plain,
% 9.02/6.65 (~node3(s262)),
% 9.02/6.65 inference(unit_resolution,[status(thm)],[21048, 399, 21045])).
% 9.02/6.65 tff(21050,plain,
% 9.02/6.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s262, c_n2) | (~node2(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s262, c_n2) | (~node2(s262)))),
% 9.02/6.65 inference(rewrite,[status(thm)],[])).
% 9.02/6.65 tff(21051,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s262, c_n2) | (~node2(s262)))),
% 9.02/6.65 inference(quant_inst,[status(thm)],[])).
% 9.02/6.65 tff(21052,plain,
% 9.02/6.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s262, c_n2) | (~node2(s262))),
% 9.02/6.65 inference(modus_ponens,[status(thm)],[21051, 21050])).
% 9.02/6.65 tff(21053,plain,
% 9.02/6.65 (~node2(s262)),
% 9.02/6.65 inference(unit_resolution,[status(thm)],[21052, 410, 21037])).
% 9.02/6.65 tff(21054,plain,
% 9.02/6.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21055,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21056,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 9.02/6.66 tff(21057,plain,
% 9.02/6.66 (~m_main_v_state1(s262, c_n1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21056, 454, 21016])).
% 9.02/6.66 tff(21058,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s262, c_n1) | (~node1(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s262, c_n1) | (~node1(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21059,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s262, c_n1) | (~node1(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21060,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s262, c_n1) | (~node1(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 9.02/6.66 tff(21061,plain,
% 9.02/6.66 (~node1(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21060, 421, 21057])).
% 9.02/6.66 tff(21062,plain,
% 9.02/6.66 (succ(s262, s263) <=> succ(s262, s263)),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21063,axiom,(succ(s262, s263)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound263')).
% 9.02/6.66 tff(21064,plain,
% 9.02/6.66 (succ(s262, s263)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21063, 21062])).
% 9.02/6.66 tff(21065,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21066,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21067,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21066, 21065])).
% 9.02/6.66 tff(21068,plain,
% 9.02/6.66 (trans(s262, s263)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21067, 21064, 32])).
% 9.02/6.66 tff(21069,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s262, s263)) | node7(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s262, s263)) | node7(s262, s263))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21070,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s262, s263)) | node7(s262, s263))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21071,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s262, s263)) | node7(s262, s263)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21070, 21069])).
% 9.02/6.66 tff(21072,plain,
% 9.02/6.66 (node7(s262, s263)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21071, 206, 21068])).
% 9.02/6.66 tff(21073,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21074,plain,
% 9.02/6.66 (((~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1)) <=> (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21075,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263))))),
% 9.02/6.66 inference(monotonicity,[status(thm)],[21074])).
% 9.02/6.66 tff(21076,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 9.02/6.66 inference(transitivity,[status(thm)],[21075, 21073])).
% 9.02/6.66 tff(21077,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21078,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 9.02/6.66 tff(21079,plain,
% 9.02/6.66 (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21078, 584, 21072])).
% 9.02/6.66 tff(21080,plain,
% 9.02/6.66 (m_main_v_state1(s263, c_n1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21079, 21061, 21016, 21053, 21049, 21041, 21024])).
% 9.02/6.66 tff(21081,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s261, c_t2) | (~node15(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s261, c_t2) | (~node15(s261)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21082,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s261, c_t2) | (~node15(s261)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21083,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s261, c_t2) | (~node15(s261))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 9.02/6.66 tff(21084,plain,
% 9.02/6.66 (~node15(s261)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21083, 103, 20993])).
% 9.02/6.66 tff(21085,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s261, s262)) | node18(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s261, s262)) | node18(s261, s262))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21086,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s261, s262)) | node18(s261, s262))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21087,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s261, s262)) | node18(s261, s262)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21086, 21085])).
% 9.02/6.66 tff(21088,plain,
% 9.02/6.66 (node18(s261, s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21087, 125, 21004])).
% 9.02/6.66 tff(21089,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21090,plain,
% 9.02/6.66 (((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1)) <=> (node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21091,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)))),
% 9.02/6.66 inference(monotonicity,[status(thm)],[21090])).
% 9.02/6.66 tff(21092,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 9.02/6.66 inference(transitivity,[status(thm)],[21091, 21089])).
% 9.02/6.66 tff(21093,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21094,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21093, 21092])).
% 9.02/6.66 tff(21095,plain,
% 9.02/6.66 (node15(s261) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21094, 992, 21088])).
% 9.02/6.66 tff(21096,plain,
% 9.02/6.66 (m_main_v_turn(s262, c_1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21095, 21084, 20921, 20989])).
% 9.02/6.66 tff(21097,plain,
% 9.02/6.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21098,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21099,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21098, 21097])).
% 9.02/6.66 tff(21100,plain,
% 9.02/6.66 (~m_main_v_turn(s262, c_2)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21099, 156, 21096])).
% 9.02/6.66 tff(21101,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s262, c_2) | (~node12(s262)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s262, c_2) | (~node12(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21102,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s262, c_2) | (~node12(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21103,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s262, c_2) | (~node12(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21102, 21101])).
% 9.02/6.66 tff(21104,plain,
% 9.02/6.66 (~node12(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21103, 184, 21100])).
% 9.02/6.66 tff(21105,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s262, c_n2) | (~node8(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s262, c_n2) | (~node8(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21106,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s262, c_n2) | (~node8(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21107,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s262, c_n2) | (~node8(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21106, 21105])).
% 9.02/6.66 tff(21108,plain,
% 9.02/6.66 (~node8(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21107, 271, 21037])).
% 9.02/6.66 tff(21109,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s262, c_n2) | (~node9(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s262, c_n2) | (~node9(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21110,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s262, c_n2) | (~node9(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21111,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s262, c_n2) | (~node9(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 9.02/6.66 tff(21112,plain,
% 9.02/6.66 (~node9(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21111, 88, 21037])).
% 9.02/6.66 tff(21113,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s262, c_n2) | (~node10(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s262, c_n2) | (~node10(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21114,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s262, c_n2) | (~node10(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21115,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s262, c_n2) | (~node10(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 9.02/6.66 tff(21116,plain,
% 9.02/6.66 (~node10(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21115, 249, 21037])).
% 9.02/6.66 tff(21117,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s262, c_n1) | (~node11(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s262, c_n1) | (~node11(s262)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21118,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s262, c_n1) | (~node11(s262)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21119,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s262, c_n1) | (~node11(s262))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 9.02/6.66 tff(21120,plain,
% 9.02/6.66 (~node11(s262)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21119, 238, 21057])).
% 9.02/6.66 tff(21121,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s262, s263)) | node14(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s262, s263)) | node14(s262, s263))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21122,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s262, s263)) | node14(s262, s263))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21123,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s262, s263)) | node14(s262, s263)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 9.02/6.66 tff(21124,plain,
% 9.02/6.66 (node14(s262, s263)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21123, 46, 21068])).
% 9.02/6.66 tff(21125,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21126,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21127,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 9.02/6.66 tff(21128,plain,
% 9.02/6.66 (m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21127, 296, 21124])).
% 9.02/6.66 tff(21129,plain,
% 9.02/6.66 (node13(s262, s263)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21128, 21120, 21045, 21116, 21112, 21108, 21104])).
% 9.02/6.66 tff(21130,plain,
% 9.02/6.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21131,plain,
% 9.02/6.66 (((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2)) <=> ((~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21132,plain,
% 9.02/6.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263))))),
% 9.02/6.66 inference(monotonicity,[status(thm)],[21131])).
% 9.02/6.66 tff(21133,plain,
% 9.02/6.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 9.02/6.66 inference(transitivity,[status(thm)],[21132, 21130])).
% 9.02/6.66 tff(21134,plain,
% 9.02/6.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21135,plain,
% 9.02/6.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 9.02/6.66 tff(21136,plain,
% 9.02/6.66 (m_main_v_state2(s263, c_t2)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21135, 518, 21033, 21129])).
% 9.02/6.66 tff(21137,plain,
% 9.02/6.66 (succ(s263, s264) <=> succ(s263, s264)),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21138,axiom,(succ(s263, s264)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound264')).
% 9.02/6.66 tff(21139,plain,
% 9.02/6.66 (succ(s263, s264)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21138, 21137])).
% 9.02/6.66 tff(21140,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21141,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21142,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21141, 21140])).
% 9.02/6.66 tff(21143,plain,
% 9.02/6.66 (trans(s263, s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21142, 21139, 32])).
% 9.02/6.66 tff(21144,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s263, s264)) | node7(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s263, s264)) | node7(s263, s264))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21145,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s263, s264)) | node7(s263, s264))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21146,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s263, s264)) | node7(s263, s264)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21145, 21144])).
% 9.02/6.66 tff(21147,plain,
% 9.02/6.66 (node7(s263, s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21146, 206, 21143])).
% 9.02/6.66 tff(21148,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21149,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21150,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 9.02/6.66 tff(21151,plain,
% 9.02/6.66 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_state1(s264, c_t1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21150, 651, 21147])).
% 9.02/6.66 tff(21152,plain,
% 9.02/6.66 (m_main_v_state1(s264, c_t1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21151, 21136, 21080])).
% 9.02/6.66 tff(21153,plain,
% 9.02/6.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21154,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21155,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 9.02/6.66 tff(21156,plain,
% 9.02/6.66 (~m_main_v_state1(s264, c_n1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21155, 10, 21152])).
% 9.02/6.66 tff(21157,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s264, c_n1) | (~node1(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s264, c_n1) | (~node1(s264)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21158,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s264, c_n1) | (~node1(s264)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21159,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s264, c_n1) | (~node1(s264))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21158, 21157])).
% 9.02/6.66 tff(21160,plain,
% 9.02/6.66 (~node1(s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21159, 421, 21156])).
% 9.02/6.66 tff(21161,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s263, s264)) | node18(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s263, s264)) | node18(s263, s264))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21162,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s263, s264)) | node18(s263, s264))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21163,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s263, s264)) | node18(s263, s264)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 9.02/6.66 tff(21164,plain,
% 9.02/6.66 (node18(s263, s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21163, 125, 21143])).
% 9.02/6.66 tff(21165,plain,
% 9.02/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21166,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21167,plain,
% 9.02/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2)),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 9.02/6.66 tff(21168,plain,
% 9.02/6.66 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_turn(s264, c_2)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21167, 760, 21164])).
% 9.02/6.66 tff(21169,plain,
% 9.02/6.66 (m_main_v_turn(s264, c_2)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21168, 21136, 21080])).
% 9.02/6.66 tff(21170,plain,
% 9.02/6.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21171,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21172,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 9.02/6.66 tff(21173,plain,
% 9.02/6.66 (~m_main_v_turn(s264, c_1)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21172, 156, 21169])).
% 9.02/6.66 tff(21174,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s264, c_1) | (~node5(s264)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s264, c_1) | (~node5(s264)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21175,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s264, c_1) | (~node5(s264)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21176,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s264, c_1) | (~node5(s264))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21175, 21174])).
% 9.02/6.66 tff(21177,plain,
% 9.02/6.66 (~node5(s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21176, 776, 21173])).
% 9.02/6.66 tff(21178,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s264, c_n1) | (~node2(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s264, c_n1) | (~node2(s264)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21179,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s264, c_n1) | (~node2(s264)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21180,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s264, c_n1) | (~node2(s264))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 9.02/6.66 tff(21181,plain,
% 9.02/6.66 (~node2(s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21180, 787, 21156])).
% 9.02/6.66 tff(21182,plain,
% 9.02/6.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s264, c_n1) | (~node3(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s264, c_n1) | (~node3(s264)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21183,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s264, c_n1) | (~node3(s264)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21184,plain,
% 9.02/6.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s264, c_n1) | (~node3(s264))),
% 9.02/6.66 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 9.02/6.66 tff(21185,plain,
% 9.02/6.66 (~node3(s264)),
% 9.02/6.66 inference(unit_resolution,[status(thm)],[21184, 798, 21156])).
% 9.02/6.66 tff(21186,plain,
% 9.02/6.66 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))),
% 9.02/6.66 inference(rewrite,[status(thm)],[])).
% 9.02/6.66 tff(21187,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))),
% 9.02/6.66 inference(quant_inst,[status(thm)],[])).
% 9.02/6.66 tff(21188,plain,
% 9.02/6.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21187, 21186])).
% 9.02/6.67 tff(21189,plain,
% 9.02/6.67 (~m_main_v_state1(s264, c_c1)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21188, 539, 21152])).
% 9.02/6.67 tff(21190,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21191,plain,
% 9.02/6.67 (((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2))) <=> (m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21192,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263))))),
% 9.02/6.67 inference(monotonicity,[status(thm)],[21191])).
% 9.02/6.67 tff(21193,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 9.02/6.67 inference(transitivity,[status(thm)],[21192, 21190])).
% 9.02/6.67 tff(21194,plain,
% 9.02/6.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21195,plain,
% 9.02/6.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 9.02/6.67 tff(21196,plain,
% 9.02/6.67 (~m_main_v_state2(s263, c_n2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21195, 311, 21037, 21129])).
% 9.02/6.67 tff(21197,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s263, c_n2) | (~node9(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s263, c_n2) | (~node9(s263)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21198,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s263, c_n2) | (~node9(s263)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21199,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s263, c_n2) | (~node9(s263))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21198, 21197])).
% 9.02/6.67 tff(21200,plain,
% 9.02/6.67 (~node9(s263)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21199, 88, 21196])).
% 9.02/6.67 tff(21201,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s263, c_n2) | (~node10(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s263, c_n2) | (~node10(s263)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21202,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s263, c_n2) | (~node10(s263)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21203,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s263, c_n2) | (~node10(s263))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21202, 21201])).
% 9.02/6.67 tff(21204,plain,
% 9.02/6.67 (~node10(s263)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21203, 249, 21196])).
% 9.02/6.67 tff(21205,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s263, c_n2) | (~node8(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s263, c_n2) | (~node8(s263)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21206,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s263, c_n2) | (~node8(s263)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21207,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s263, c_n2) | (~node8(s263))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21206, 21205])).
% 9.02/6.67 tff(21208,plain,
% 9.02/6.67 (~node8(s263)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21207, 271, 21196])).
% 9.02/6.67 tff(21209,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s263, s264)) | node14(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s263, s264)) | node14(s263, s264))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21210,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s263, s264)) | node14(s263, s264))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21211,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s263, s264)) | node14(s263, s264)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 9.02/6.67 tff(21212,plain,
% 9.02/6.67 (node14(s263, s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21211, 46, 21143])).
% 9.02/6.67 tff(21213,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21214,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21215,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 9.02/6.67 tff(21216,plain,
% 9.02/6.67 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | m_main_v_state2(s264, c_c2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21215, 617, 21212])).
% 9.02/6.67 tff(21217,plain,
% 9.02/6.67 (m_main_v_state2(s264, c_c2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21216, 21208, 21080, 21136, 21204, 21200])).
% 9.02/6.67 tff(21218,plain,
% 9.02/6.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21219,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21220,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 9.02/6.67 tff(21221,plain,
% 9.02/6.67 (~m_main_v_state2(s264, c_n2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21220, 697, 21217])).
% 9.02/6.67 tff(21222,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s264, c_n2) | (~node4(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s264, c_n2) | (~node4(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21223,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s264, c_n2) | (~node4(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21224,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s264, c_n2) | (~node4(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 9.02/6.67 tff(21225,plain,
% 9.02/6.67 (~node4(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21224, 388, 21221])).
% 9.02/6.67 tff(21226,plain,
% 9.02/6.67 (succ(s264, s265) <=> succ(s264, s265)),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21227,axiom,(succ(s264, s265)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound265')).
% 9.02/6.67 tff(21228,plain,
% 9.02/6.67 (succ(s264, s265)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21227, 21226])).
% 9.02/6.67 tff(21229,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21230,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21231,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 9.02/6.67 tff(21232,plain,
% 9.02/6.67 (trans(s264, s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21231, 21228, 32])).
% 9.02/6.67 tff(21233,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s264, s265)) | node7(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s264, s265)) | node7(s264, s265))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21234,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s264, s265)) | node7(s264, s265))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21235,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s264, s265)) | node7(s264, s265)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 9.02/6.67 tff(21236,plain,
% 9.02/6.67 (node7(s264, s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21235, 206, 21232])).
% 9.02/6.67 tff(21237,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21238,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21239,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 9.02/6.67 tff(21240,plain,
% 9.02/6.67 (m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21239, 820, 21236])).
% 9.02/6.67 tff(21241,plain,
% 9.02/6.67 (node6(s264, s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21240, 21225, 21189, 21185, 21181, 21177, 21160])).
% 9.02/6.67 tff(21242,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21243,plain,
% 9.02/6.67 (((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1)) <=> ((~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21244,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265))))),
% 9.02/6.67 inference(monotonicity,[status(thm)],[21243])).
% 9.02/6.67 tff(21245,plain,
% 9.02/6.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 9.02/6.67 inference(transitivity,[status(thm)],[21244, 21242])).
% 9.02/6.67 tff(21246,plain,
% 9.02/6.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21247,plain,
% 9.02/6.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 9.02/6.67 tff(21248,plain,
% 9.02/6.67 (m_main_v_state1(s265, c_t1)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21247, 856, 21152, 21241])).
% 9.02/6.67 tff(21249,plain,
% 9.02/6.67 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21250,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21251,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 9.02/6.67 tff(21252,plain,
% 9.02/6.67 (~m_main_v_state2(s264, c_t2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21251, 260, 21217])).
% 9.02/6.67 tff(21253,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s264, c_t2) | (~node12(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s264, c_t2) | (~node12(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21254,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s264, c_t2) | (~node12(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21255,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s264, c_t2) | (~node12(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 9.02/6.67 tff(21256,plain,
% 9.02/6.67 (~node12(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21255, 633, 21252])).
% 9.02/6.67 tff(21257,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s264, c_n1) | (~node11(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s264, c_n1) | (~node11(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21258,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s264, c_n1) | (~node11(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21259,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s264, c_n1) | (~node11(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 9.02/6.67 tff(21260,plain,
% 9.02/6.67 (~node11(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21259, 238, 21156])).
% 9.02/6.67 tff(21261,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s264, c_c1) | (~node10(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s264, c_c1) | (~node10(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21262,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s264, c_c1) | (~node10(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21263,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s264, c_c1) | (~node10(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 9.02/6.67 tff(21264,plain,
% 9.02/6.67 (~node10(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21263, 675, 21189])).
% 9.02/6.67 tff(21265,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s264, c_n1) | (~node9(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s264, c_n1) | (~node9(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21266,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s264, c_n1) | (~node9(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21267,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s264, c_n1) | (~node9(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 9.02/6.67 tff(21268,plain,
% 9.02/6.67 (~node9(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21267, 686, 21156])).
% 9.02/6.67 tff(21269,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s264, c_n2) | (~node8(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s264, c_n2) | (~node8(s264)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21270,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s264, c_n2) | (~node8(s264)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21271,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s264, c_n2) | (~node8(s264))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21270, 21269])).
% 9.02/6.67 tff(21272,plain,
% 9.02/6.67 (~node8(s264)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21271, 271, 21221])).
% 9.02/6.67 tff(21273,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s264, s265)) | node14(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s264, s265)) | node14(s264, s265))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21274,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s264, s265)) | node14(s264, s265))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21275,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s264, s265)) | node14(s264, s265)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 9.02/6.67 tff(21276,plain,
% 9.02/6.67 (node14(s264, s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21275, 46, 21232])).
% 9.02/6.67 tff(21277,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21278,plain,
% 9.02/6.67 (((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2)) <=> (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21279,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2))))),
% 9.02/6.67 inference(monotonicity,[status(thm)],[21278])).
% 9.02/6.67 tff(21280,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 9.02/6.67 inference(transitivity,[status(thm)],[21279, 21277])).
% 9.02/6.67 tff(21281,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21282,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 9.02/6.67 tff(21283,plain,
% 9.02/6.67 (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~m_main_v_state2(s264, c_c2))),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21282, 726, 21276])).
% 9.02/6.67 tff(21284,plain,
% 9.02/6.67 (m_main_v_state2(s265, c_n2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21283, 21272, 21217, 21268, 21264, 21260, 21256])).
% 9.02/6.67 tff(21285,plain,
% 9.02/6.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21286,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21287,plain,
% 9.02/6.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21286, 21285])).
% 9.02/6.67 tff(21288,plain,
% 9.02/6.67 (~m_main_v_state2(s265, c_t2)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21287, 77, 21284])).
% 9.02/6.67 tff(21289,plain,
% 9.02/6.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s265, c_t2) | (~node15(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s265, c_t2) | (~node15(s265)))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21290,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s265, c_t2) | (~node15(s265)))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21291,plain,
% 9.02/6.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s265, c_t2) | (~node15(s265))),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21290, 21289])).
% 9.02/6.67 tff(21292,plain,
% 9.02/6.67 (~node15(s265)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21291, 103, 21288])).
% 9.02/6.67 tff(21293,plain,
% 9.02/6.67 (succ(s265, s266) <=> succ(s265, s266)),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21294,axiom,(succ(s265, s266)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound266')).
% 9.02/6.67 tff(21295,plain,
% 9.02/6.67 (succ(s265, s266)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 9.02/6.67 tff(21296,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21297,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21298,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 9.02/6.67 tff(21299,plain,
% 9.02/6.67 (trans(s265, s266)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21298, 21295, 32])).
% 9.02/6.67 tff(21300,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s265, s266)) | node18(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s265, s266)) | node18(s265, s266))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21301,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s265, s266)) | node18(s265, s266))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21302,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s265, s266)) | node18(s265, s266)),
% 9.02/6.67 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 9.02/6.67 tff(21303,plain,
% 9.02/6.67 (node18(s265, s266)),
% 9.02/6.67 inference(unit_resolution,[status(thm)],[21302, 125, 21299])).
% 9.02/6.67 tff(21304,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21305,plain,
% 9.02/6.67 (((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1)) <=> (node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 9.02/6.67 inference(rewrite,[status(thm)],[])).
% 9.02/6.67 tff(21306,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)))),
% 9.02/6.67 inference(monotonicity,[status(thm)],[21305])).
% 9.02/6.67 tff(21307,plain,
% 9.02/6.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 9.02/6.67 inference(transitivity,[status(thm)],[21306, 21304])).
% 9.02/6.67 tff(21308,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1))),
% 9.02/6.67 inference(quant_inst,[status(thm)],[])).
% 9.02/6.67 tff(21309,plain,
% 9.02/6.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21308, 21307])).
% 9.02/6.68 tff(21310,plain,
% 9.02/6.68 (node15(s265) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21309, 992, 21303])).
% 9.02/6.68 tff(21311,plain,
% 9.02/6.68 (m_main_v_turn(s266, c_1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21310, 21292, 21284, 21248])).
% 9.02/6.68 tff(21312,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21313,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21314,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 9.02/6.68 tff(21315,plain,
% 9.02/6.68 (~m_main_v_turn(s266, c_2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21314, 156, 21311])).
% 9.02/6.68 tff(21316,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s266, c_2) | (~node12(s266)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s266, c_2) | (~node12(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21317,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s266, c_2) | (~node12(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21318,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s266, c_2) | (~node12(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 9.02/6.68 tff(21319,plain,
% 9.02/6.68 (~node12(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21318, 184, 21315])).
% 9.02/6.68 tff(21320,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s265, s266)) | node14(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s265, s266)) | node14(s265, s266))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21321,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s265, s266)) | node14(s265, s266))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21322,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s265, s266)) | node14(s265, s266)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 9.02/6.68 tff(21323,plain,
% 9.02/6.68 (node14(s265, s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21322, 46, 21299])).
% 9.02/6.68 tff(21324,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21325,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21326,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 9.02/6.68 tff(21327,plain,
% 9.02/6.68 ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state2(s266, c_t2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21326, 922, 21323])).
% 9.02/6.68 tff(21328,plain,
% 9.02/6.68 (m_main_v_state2(s266, c_t2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21327, 21248, 21284])).
% 9.02/6.68 tff(21329,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21330,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21331,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21330, 21329])).
% 9.02/6.68 tff(21332,plain,
% 9.02/6.68 (~m_main_v_state2(s266, c_n2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21331, 77, 21328])).
% 9.02/6.68 tff(21333,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s266, c_n2) | (~node8(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s266, c_n2) | (~node8(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21334,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s266, c_n2) | (~node8(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21335,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s266, c_n2) | (~node8(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 9.02/6.68 tff(21336,plain,
% 9.02/6.68 (~node8(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21335, 271, 21332])).
% 9.02/6.68 tff(21337,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s266, c_n2) | (~node9(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s266, c_n2) | (~node9(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21338,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s266, c_n2) | (~node9(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21339,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s266, c_n2) | (~node9(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 9.02/6.68 tff(21340,plain,
% 9.02/6.68 (~node9(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21339, 88, 21332])).
% 9.02/6.68 tff(21341,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s266, c_n2) | (~node10(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s266, c_n2) | (~node10(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21342,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s266, c_n2) | (~node10(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21343,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s266, c_n2) | (~node10(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 9.02/6.68 tff(21344,plain,
% 9.02/6.68 (~node10(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21343, 249, 21332])).
% 9.02/6.68 tff(21345,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21346,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21347,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21346, 21345])).
% 9.02/6.68 tff(21348,plain,
% 9.02/6.68 (~m_main_v_state2(s266, c_c2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21347, 260, 21328])).
% 9.02/6.68 tff(21349,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21350,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21351,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21350, 21349])).
% 9.02/6.68 tff(21352,plain,
% 9.02/6.68 (~m_main_v_state2(s265, c_c2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21351, 697, 21284])).
% 9.02/6.68 tff(21353,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s265, c_c2) | (~node3(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s265, c_c2) | (~node3(s265)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21354,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s265, c_c2) | (~node3(s265)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21355,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s265, c_c2) | (~node3(s265))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21354, 21353])).
% 9.02/6.68 tff(21356,plain,
% 9.02/6.68 (~node3(s265)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21355, 399, 21352])).
% 9.02/6.68 tff(21357,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21358,plain,
% 9.02/6.68 (((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1))) <=> (m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21359,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265))))),
% 9.02/6.68 inference(monotonicity,[status(thm)],[21358])).
% 9.02/6.68 tff(21360,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 9.02/6.68 inference(transitivity,[status(thm)],[21359, 21357])).
% 9.02/6.68 tff(21361,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21362,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21361, 21360])).
% 9.02/6.68 tff(21363,plain,
% 9.02/6.68 (~m_main_v_state1(s265, c_n1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21362, 835, 21156, 21241])).
% 9.02/6.68 tff(21364,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s265, c_n1) | (~node2(s265)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s265, c_n1) | (~node2(s265)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21365,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s265, c_n1) | (~node2(s265)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21366,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s265, c_n1) | (~node2(s265))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21365, 21364])).
% 9.02/6.68 tff(21367,plain,
% 9.02/6.68 (~node2(s265)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21366, 787, 21363])).
% 9.02/6.68 tff(21368,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s265, c_t2) | (~node1(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s265, c_t2) | (~node1(s265)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21369,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s265, c_t2) | (~node1(s265)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21370,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s265, c_t2) | (~node1(s265))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 9.02/6.68 tff(21371,plain,
% 9.02/6.68 (~node1(s265)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21370, 195, 21288])).
% 9.02/6.68 tff(21372,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s265, s266)) | node7(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s265, s266)) | node7(s265, s266))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21373,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s265, s266)) | node7(s265, s266))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21374,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s265, s266)) | node7(s265, s266)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21373, 21372])).
% 9.02/6.68 tff(21375,plain,
% 9.02/6.68 (node7(s265, s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21374, 206, 21299])).
% 9.02/6.68 tff(21376,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21377,plain,
% 9.02/6.68 (((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1)) <=> ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21378,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266))))),
% 9.02/6.68 inference(monotonicity,[status(thm)],[21377])).
% 9.02/6.68 tff(21379,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 9.02/6.68 inference(transitivity,[status(thm)],[21378, 21376])).
% 9.02/6.68 tff(21380,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21381,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 9.02/6.68 tff(21382,plain,
% 9.02/6.68 ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21381, 892, 21375])).
% 9.02/6.68 tff(21383,plain,
% 9.02/6.68 (m_main_v_state1(s266, c_c1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21382, 21371, 21284, 21248, 21367, 21356])).
% 9.02/6.68 tff(21384,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21385,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21386,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 9.02/6.68 tff(21387,plain,
% 9.02/6.68 (~m_main_v_state1(s266, c_n1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21386, 454, 21383])).
% 9.02/6.68 tff(21388,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s266, c_n1) | (~node11(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s266, c_n1) | (~node11(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21389,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s266, c_n1) | (~node11(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21390,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s266, c_n1) | (~node11(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 9.02/6.68 tff(21391,plain,
% 9.02/6.68 (~node11(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21390, 238, 21387])).
% 9.02/6.68 tff(21392,plain,
% 9.02/6.68 (succ(s266, s267) <=> succ(s266, s267)),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21393,axiom,(succ(s266, s267)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound267')).
% 9.02/6.68 tff(21394,plain,
% 9.02/6.68 (succ(s266, s267)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21393, 21392])).
% 9.02/6.68 tff(21395,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21396,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21397,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 9.02/6.68 tff(21398,plain,
% 9.02/6.68 (trans(s266, s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21397, 21394, 32])).
% 9.02/6.68 tff(21399,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s266, s267)) | node14(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s266, s267)) | node14(s266, s267))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21400,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s266, s267)) | node14(s266, s267))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21401,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s266, s267)) | node14(s266, s267)),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21400, 21399])).
% 9.02/6.68 tff(21402,plain,
% 9.02/6.68 (node14(s266, s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21401, 46, 21398])).
% 9.02/6.68 tff(21403,plain,
% 9.02/6.68 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21404,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21405,plain,
% 9.02/6.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 9.02/6.68 tff(21406,plain,
% 9.02/6.68 (m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21405, 296, 21402])).
% 9.02/6.68 tff(21407,plain,
% 9.02/6.68 (node13(s266, s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21406, 21391, 21348, 21344, 21340, 21336, 21319])).
% 9.02/6.68 tff(21408,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21409,plain,
% 9.02/6.68 (((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2))) <=> (m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21410,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267))))),
% 9.02/6.68 inference(monotonicity,[status(thm)],[21409])).
% 9.02/6.68 tff(21411,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 9.02/6.68 inference(transitivity,[status(thm)],[21410, 21408])).
% 9.02/6.68 tff(21412,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21413,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 9.02/6.68 tff(21414,plain,
% 9.02/6.68 (~m_main_v_state2(s267, c_n2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21413, 311, 21332, 21407])).
% 9.02/6.68 tff(21415,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s267, c_n2) | (~node9(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s267, c_n2) | (~node9(s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21416,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s267, c_n2) | (~node9(s267)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21417,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s267, c_n2) | (~node9(s267))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 9.02/6.68 tff(21418,plain,
% 9.02/6.68 (~node9(s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21417, 88, 21414])).
% 9.02/6.68 tff(21419,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s267, c_n2) | (~node10(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s267, c_n2) | (~node10(s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21420,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s267, c_n2) | (~node10(s267)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21421,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s267, c_n2) | (~node10(s267))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21420, 21419])).
% 9.02/6.68 tff(21422,plain,
% 9.02/6.68 (~node10(s267)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21421, 249, 21414])).
% 9.02/6.68 tff(21423,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21424,plain,
% 9.02/6.68 (((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2)) <=> ((~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21425,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267))))),
% 9.02/6.68 inference(monotonicity,[status(thm)],[21424])).
% 9.02/6.68 tff(21426,plain,
% 9.02/6.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 9.02/6.68 inference(transitivity,[status(thm)],[21425, 21423])).
% 9.02/6.68 tff(21427,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21428,plain,
% 9.02/6.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21427, 21426])).
% 9.02/6.68 tff(21429,plain,
% 9.02/6.68 (m_main_v_state2(s267, c_t2)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21428, 518, 21328, 21407])).
% 9.02/6.68 tff(21430,plain,
% 9.02/6.68 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21431,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21432,plain,
% 9.02/6.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 9.02/6.68 tff(21433,plain,
% 9.02/6.68 (~m_main_v_state1(s266, c_t1)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21432, 539, 21383])).
% 9.02/6.68 tff(21434,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s266, c_t1) | (~node5(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s266, c_t1) | (~node5(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21435,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s266, c_t1) | (~node5(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21436,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s266, c_t1) | (~node5(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 9.02/6.68 tff(21437,plain,
% 9.02/6.68 (~node5(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21436, 550, 21433])).
% 9.02/6.68 tff(21438,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s266, c_n2) | (~node4(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s266, c_n2) | (~node4(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21439,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s266, c_n2) | (~node4(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21440,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s266, c_n2) | (~node4(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 9.02/6.68 tff(21441,plain,
% 9.02/6.68 (~node4(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21440, 388, 21332])).
% 9.02/6.68 tff(21442,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s266, c_c2) | (~node3(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s266, c_c2) | (~node3(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21443,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s266, c_c2) | (~node3(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21444,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s266, c_c2) | (~node3(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21443, 21442])).
% 9.02/6.68 tff(21445,plain,
% 9.02/6.68 (~node3(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21444, 399, 21348])).
% 9.02/6.68 tff(21446,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s266, c_n2) | (~node2(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s266, c_n2) | (~node2(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21447,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s266, c_n2) | (~node2(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.68 tff(21448,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s266, c_n2) | (~node2(s266))),
% 9.02/6.68 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 9.02/6.68 tff(21449,plain,
% 9.02/6.68 (~node2(s266)),
% 9.02/6.68 inference(unit_resolution,[status(thm)],[21448, 410, 21332])).
% 9.02/6.68 tff(21450,plain,
% 9.02/6.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s266, c_n1) | (~node1(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s266, c_n1) | (~node1(s266)))),
% 9.02/6.68 inference(rewrite,[status(thm)],[])).
% 9.02/6.68 tff(21451,plain,
% 9.02/6.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s266, c_n1) | (~node1(s266)))),
% 9.02/6.68 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21452,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s266, c_n1) | (~node1(s266))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 9.02/6.69 tff(21453,plain,
% 9.02/6.69 (~node1(s266)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21452, 421, 21387])).
% 9.02/6.69 tff(21454,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s266, s267)) | node7(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s266, s267)) | node7(s266, s267))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21455,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s266, s267)) | node7(s266, s267))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21456,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s266, s267)) | node7(s266, s267)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 9.02/6.69 tff(21457,plain,
% 9.02/6.69 (node7(s266, s267)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21456, 206, 21398])).
% 9.02/6.69 tff(21458,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21459,plain,
% 9.02/6.69 (((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1)) <=> (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21460,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267))))),
% 9.02/6.69 inference(monotonicity,[status(thm)],[21459])).
% 9.02/6.69 tff(21461,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 9.02/6.69 inference(transitivity,[status(thm)],[21460, 21458])).
% 9.02/6.69 tff(21462,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21463,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 9.02/6.69 tff(21464,plain,
% 9.02/6.69 (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21463, 584, 21457])).
% 9.02/6.69 tff(21465,plain,
% 9.02/6.69 (m_main_v_state1(s267, c_n1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21464, 21453, 21383, 21449, 21445, 21441, 21437])).
% 9.02/6.69 tff(21466,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s267, c_n2) | (~node8(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s267, c_n2) | (~node8(s267)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21467,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s267, c_n2) | (~node8(s267)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21468,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s267, c_n2) | (~node8(s267))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21467, 21466])).
% 9.02/6.69 tff(21469,plain,
% 9.02/6.69 (~node8(s267)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21468, 271, 21414])).
% 9.02/6.69 tff(21470,plain,
% 9.02/6.69 (succ(s267, s268) <=> succ(s267, s268)),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21471,axiom,(succ(s267, s268)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound268')).
% 9.02/6.69 tff(21472,plain,
% 9.02/6.69 (succ(s267, s268)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 9.02/6.69 tff(21473,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21474,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21475,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 9.02/6.69 tff(21476,plain,
% 9.02/6.69 (trans(s267, s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21475, 21472, 32])).
% 9.02/6.69 tff(21477,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s267, s268)) | node14(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s267, s268)) | node14(s267, s268))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21478,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s267, s268)) | node14(s267, s268))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21479,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s267, s268)) | node14(s267, s268)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21478, 21477])).
% 9.02/6.69 tff(21480,plain,
% 9.02/6.69 (node14(s267, s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21479, 46, 21476])).
% 9.02/6.69 tff(21481,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21482,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21483,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 9.02/6.69 tff(21484,plain,
% 9.02/6.69 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | m_main_v_state2(s268, c_c2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21483, 617, 21480])).
% 9.02/6.69 tff(21485,plain,
% 9.02/6.69 (m_main_v_state2(s268, c_c2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21484, 21469, 21465, 21429, 21422, 21418])).
% 9.02/6.69 tff(21486,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21487,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21488,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 9.02/6.69 tff(21489,plain,
% 9.02/6.69 (~m_main_v_state2(s268, c_t2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21488, 260, 21485])).
% 9.02/6.69 tff(21490,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s268, c_t2) | (~node12(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s268, c_t2) | (~node12(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21491,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s268, c_t2) | (~node12(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21492,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s268, c_t2) | (~node12(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 9.02/6.69 tff(21493,plain,
% 9.02/6.69 (~node12(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21492, 633, 21489])).
% 9.02/6.69 tff(21494,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s267, s268)) | node7(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s267, s268)) | node7(s267, s268))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21495,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s267, s268)) | node7(s267, s268))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21496,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s267, s268)) | node7(s267, s268)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 9.02/6.69 tff(21497,plain,
% 9.02/6.69 (node7(s267, s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21496, 206, 21476])).
% 9.02/6.69 tff(21498,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21499,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21500,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 9.02/6.69 tff(21501,plain,
% 9.02/6.69 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_state1(s268, c_t1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21500, 651, 21497])).
% 9.02/6.69 tff(21502,plain,
% 9.02/6.69 (m_main_v_state1(s268, c_t1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21501, 21429, 21465])).
% 9.02/6.69 tff(21503,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21504,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21505,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 9.02/6.69 tff(21506,plain,
% 9.02/6.69 (~m_main_v_state1(s268, c_n1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21505, 10, 21502])).
% 9.02/6.69 tff(21507,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s268, c_n1) | (~node11(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s268, c_n1) | (~node11(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21508,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s268, c_n1) | (~node11(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21509,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s268, c_n1) | (~node11(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 9.02/6.69 tff(21510,plain,
% 9.02/6.69 (~node11(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21509, 238, 21506])).
% 9.02/6.69 tff(21511,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21512,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21513,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 9.02/6.69 tff(21514,plain,
% 9.02/6.69 (~m_main_v_state1(s268, c_c1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21513, 539, 21502])).
% 9.02/6.69 tff(21515,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s268, c_c1) | (~node10(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s268, c_c1) | (~node10(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21516,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s268, c_c1) | (~node10(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21517,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s268, c_c1) | (~node10(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21516, 21515])).
% 9.02/6.69 tff(21518,plain,
% 9.02/6.69 (~node10(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21517, 675, 21514])).
% 9.02/6.69 tff(21519,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s268, c_n1) | (~node9(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s268, c_n1) | (~node9(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21520,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s268, c_n1) | (~node9(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21521,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s268, c_n1) | (~node9(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 9.02/6.69 tff(21522,plain,
% 9.02/6.69 (~node9(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21521, 686, 21506])).
% 9.02/6.69 tff(21523,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21524,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21525,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 9.02/6.69 tff(21526,plain,
% 9.02/6.69 (~m_main_v_state2(s268, c_n2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21525, 697, 21485])).
% 9.02/6.69 tff(21527,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s268, c_n2) | (~node8(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s268, c_n2) | (~node8(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21528,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s268, c_n2) | (~node8(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21529,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s268, c_n2) | (~node8(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 9.02/6.69 tff(21530,plain,
% 9.02/6.69 (~node8(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21529, 271, 21526])).
% 9.02/6.69 tff(21531,plain,
% 9.02/6.69 (succ(s268, s269) <=> succ(s268, s269)),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21532,axiom,(succ(s268, s269)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound269')).
% 9.02/6.69 tff(21533,plain,
% 9.02/6.69 (succ(s268, s269)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 9.02/6.69 tff(21534,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21535,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21536,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21535, 21534])).
% 9.02/6.69 tff(21537,plain,
% 9.02/6.69 (trans(s268, s269)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21536, 21533, 32])).
% 9.02/6.69 tff(21538,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s268, s269)) | node14(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s268, s269)) | node14(s268, s269))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21539,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s268, s269)) | node14(s268, s269))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21540,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s268, s269)) | node14(s268, s269)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 9.02/6.69 tff(21541,plain,
% 9.02/6.69 (node14(s268, s269)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21540, 46, 21537])).
% 9.02/6.69 tff(21542,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21543,plain,
% 9.02/6.69 (((~m_main_v_state2(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2)) <=> (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21544,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2))))),
% 9.02/6.69 inference(monotonicity,[status(thm)],[21543])).
% 9.02/6.69 tff(21545,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 9.02/6.69 inference(transitivity,[status(thm)],[21544, 21542])).
% 9.02/6.69 tff(21546,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21547,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 9.02/6.69 tff(21548,plain,
% 9.02/6.69 (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~m_main_v_state2(s268, c_c2))),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21547, 726, 21541])).
% 9.02/6.69 tff(21549,plain,
% 9.02/6.69 (m_main_v_state2(s269, c_n2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21548, 21530, 21485, 21522, 21518, 21510, 21493])).
% 9.02/6.69 tff(21550,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21551,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21552,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 9.02/6.69 tff(21553,plain,
% 9.02/6.69 (~m_main_v_state2(s269, c_c2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21552, 697, 21549])).
% 9.02/6.69 tff(21554,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s269, c_c2) | (~node3(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s269, c_c2) | (~node3(s269)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21555,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s269, c_c2) | (~node3(s269)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21556,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s269, c_c2) | (~node3(s269))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21555, 21554])).
% 9.02/6.69 tff(21557,plain,
% 9.02/6.69 (~node3(s269)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21556, 399, 21553])).
% 9.02/6.69 tff(21558,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s268, c_n1) | (~node1(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s268, c_n1) | (~node1(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21559,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s268, c_n1) | (~node1(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21560,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s268, c_n1) | (~node1(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 9.02/6.69 tff(21561,plain,
% 9.02/6.69 (~node1(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21560, 421, 21506])).
% 9.02/6.69 tff(21562,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s267, s268)) | node18(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s267, s268)) | node18(s267, s268))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21563,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s267, s268)) | node18(s267, s268))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21564,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s267, s268)) | node18(s267, s268)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21563, 21562])).
% 9.02/6.69 tff(21565,plain,
% 9.02/6.69 (node18(s267, s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21564, 125, 21476])).
% 9.02/6.69 tff(21566,plain,
% 9.02/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21567,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21568,plain,
% 9.02/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2)),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21567, 21566])).
% 9.02/6.69 tff(21569,plain,
% 9.02/6.69 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_turn(s268, c_2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21568, 760, 21565])).
% 9.02/6.69 tff(21570,plain,
% 9.02/6.69 (m_main_v_turn(s268, c_2)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21569, 21429, 21465])).
% 9.02/6.69 tff(21571,plain,
% 9.02/6.69 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21572,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21573,plain,
% 9.02/6.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21572, 21571])).
% 9.02/6.69 tff(21574,plain,
% 9.02/6.69 (~m_main_v_turn(s268, c_1)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21573, 156, 21570])).
% 9.02/6.69 tff(21575,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s268, c_1) | (~node5(s268)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s268, c_1) | (~node5(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21576,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s268, c_1) | (~node5(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21577,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s268, c_1) | (~node5(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21576, 21575])).
% 9.02/6.69 tff(21578,plain,
% 9.02/6.69 (~node5(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21577, 776, 21574])).
% 9.02/6.69 tff(21579,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s268, c_n1) | (~node2(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s268, c_n1) | (~node2(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21580,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s268, c_n1) | (~node2(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21581,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s268, c_n1) | (~node2(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21580, 21579])).
% 9.02/6.69 tff(21582,plain,
% 9.02/6.69 (~node2(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21581, 787, 21506])).
% 9.02/6.69 tff(21583,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s268, c_n1) | (~node3(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s268, c_n1) | (~node3(s268)))),
% 9.02/6.69 inference(rewrite,[status(thm)],[])).
% 9.02/6.69 tff(21584,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s268, c_n1) | (~node3(s268)))),
% 9.02/6.69 inference(quant_inst,[status(thm)],[])).
% 9.02/6.69 tff(21585,plain,
% 9.02/6.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s268, c_n1) | (~node3(s268))),
% 9.02/6.69 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 9.02/6.69 tff(21586,plain,
% 9.02/6.69 (~node3(s268)),
% 9.02/6.69 inference(unit_resolution,[status(thm)],[21585, 798, 21506])).
% 9.02/6.69 tff(21587,plain,
% 9.02/6.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s268, c_n2) | (~node4(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s268, c_n2) | (~node4(s268)))),
% 9.02/6.70 inference(rewrite,[status(thm)],[])).
% 9.02/6.70 tff(21588,plain,
% 9.02/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s268, c_n2) | (~node4(s268)))),
% 9.02/6.70 inference(quant_inst,[status(thm)],[])).
% 9.02/6.70 tff(21589,plain,
% 9.02/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s268, c_n2) | (~node4(s268))),
% 9.02/6.70 inference(modus_ponens,[status(thm)],[21588, 21587])).
% 9.02/6.70 tff(21590,plain,
% 9.02/6.70 (~node4(s268)),
% 9.02/6.70 inference(unit_resolution,[status(thm)],[21589, 388, 21526])).
% 9.02/6.70 tff(21591,plain,
% 9.02/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s268, s269)) | node7(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s268, s269)) | node7(s268, s269))),
% 9.02/6.70 inference(rewrite,[status(thm)],[])).
% 9.02/6.70 tff(21592,plain,
% 9.02/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s268, s269)) | node7(s268, s269))),
% 9.02/6.70 inference(quant_inst,[status(thm)],[])).
% 9.02/6.70 tff(21593,plain,
% 9.02/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s268, s269)) | node7(s268, s269)),
% 9.02/6.70 inference(modus_ponens,[status(thm)],[21592, 21591])).
% 9.02/6.70 tff(21594,plain,
% 9.02/6.70 (node7(s268, s269)),
% 9.02/6.70 inference(unit_resolution,[status(thm)],[21593, 206, 21537])).
% 9.02/6.70 tff(21595,plain,
% 9.02/6.70 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))),
% 9.02/6.70 inference(rewrite,[status(thm)],[])).
% 9.02/6.70 tff(21596,plain,
% 9.02/6.70 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))),
% 9.02/6.70 inference(quant_inst,[status(thm)],[])).
% 9.02/6.70 tff(21597,plain,
% 9.02/6.70 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269))),
% 9.02/6.70 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 9.02/6.70 tff(21598,plain,
% 9.02/6.70 (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269)),
% 9.02/6.70 inference(unit_resolution,[status(thm)],[21597, 820, 21594])).
% 9.02/6.70 tff(21599,plain,
% 9.02/6.70 (node6(s268, s269)),
% 9.02/6.70 inference(unit_resolution,[status(thm)],[21598, 21590, 21514, 21586, 21582, 21578, 21561])).
% 9.02/6.70 tff(21600,plain,
% 9.02/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 9.02/6.70 inference(rewrite,[status(thm)],[])).
% 9.02/6.70 tff(21601,plain,
% 9.02/6.70 (((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1))) <=> (m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 9.02/6.70 inference(rewrite,[status(thm)],[])).
% 9.02/6.70 tff(21602,plain,
% 9.02/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269))))),
% 9.07/6.70 inference(monotonicity,[status(thm)],[21601])).
% 9.07/6.70 tff(21603,plain,
% 9.07/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 9.07/6.70 inference(transitivity,[status(thm)],[21602, 21600])).
% 9.07/6.70 tff(21604,plain,
% 9.07/6.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21605,plain,
% 9.07/6.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 9.07/6.70 tff(21606,plain,
% 9.07/6.70 (~m_main_v_state1(s269, c_n1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21605, 835, 21506, 21599])).
% 9.07/6.70 tff(21607,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s269, c_n1) | (~node2(s269)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s269, c_n1) | (~node2(s269)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21608,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s269, c_n1) | (~node2(s269)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21609,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s269, c_n1) | (~node2(s269))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 9.07/6.70 tff(21610,plain,
% 9.07/6.70 (~node2(s269)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21609, 787, 21606])).
% 9.07/6.70 tff(21611,plain,
% 9.07/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21612,plain,
% 9.07/6.70 (((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1)) <=> ((~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21613,plain,
% 9.07/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269))))),
% 9.07/6.70 inference(monotonicity,[status(thm)],[21612])).
% 9.07/6.70 tff(21614,plain,
% 9.07/6.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 9.07/6.70 inference(transitivity,[status(thm)],[21613, 21611])).
% 9.07/6.70 tff(21615,plain,
% 9.07/6.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21616,plain,
% 9.07/6.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21615, 21614])).
% 9.07/6.70 tff(21617,plain,
% 9.07/6.70 (m_main_v_state1(s269, c_t1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21616, 856, 21502, 21599])).
% 9.07/6.70 tff(21618,plain,
% 9.07/6.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21619,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21620,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 9.07/6.70 tff(21621,plain,
% 9.07/6.70 (~m_main_v_state2(s269, c_t2)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21620, 77, 21549])).
% 9.07/6.70 tff(21622,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s269, c_t2) | (~node1(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s269, c_t2) | (~node1(s269)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21623,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s269, c_t2) | (~node1(s269)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21624,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s269, c_t2) | (~node1(s269))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 9.07/6.70 tff(21625,plain,
% 9.07/6.70 (~node1(s269)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21624, 195, 21621])).
% 9.07/6.70 tff(21626,plain,
% 9.07/6.70 (succ(s269, s270) <=> succ(s269, s270)),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21627,axiom,(succ(s269, s270)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound270')).
% 9.07/6.70 tff(21628,plain,
% 9.07/6.70 (succ(s269, s270)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 9.07/6.70 tff(21629,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21630,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21631,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21630, 21629])).
% 9.07/6.70 tff(21632,plain,
% 9.07/6.70 (trans(s269, s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21631, 21628, 32])).
% 9.07/6.70 tff(21633,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s269, s270)) | node7(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s269, s270)) | node7(s269, s270))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21634,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s269, s270)) | node7(s269, s270))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21635,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s269, s270)) | node7(s269, s270)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 9.07/6.70 tff(21636,plain,
% 9.07/6.70 (node7(s269, s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21635, 206, 21632])).
% 9.07/6.70 tff(21637,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21638,plain,
% 9.07/6.70 (((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1)) <=> ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21639,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270))))),
% 9.07/6.70 inference(monotonicity,[status(thm)],[21638])).
% 9.07/6.70 tff(21640,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 9.07/6.70 inference(transitivity,[status(thm)],[21639, 21637])).
% 9.07/6.70 tff(21641,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21642,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 9.07/6.70 tff(21643,plain,
% 9.07/6.70 ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21642, 892, 21636])).
% 9.07/6.70 tff(21644,plain,
% 9.07/6.70 (m_main_v_state1(s270, c_c1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21643, 21625, 21549, 21617, 21610, 21557])).
% 9.07/6.70 tff(21645,plain,
% 9.07/6.70 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21646,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21647,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21646, 21645])).
% 9.07/6.70 tff(21648,plain,
% 9.07/6.70 (~m_main_v_state1(s270, c_t1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21647, 539, 21644])).
% 9.07/6.70 tff(21649,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s270, c_t1) | (~node5(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s270, c_t1) | (~node5(s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21650,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s270, c_t1) | (~node5(s270)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21651,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s270, c_t1) | (~node5(s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21650, 21649])).
% 9.07/6.70 tff(21652,plain,
% 9.07/6.70 (~node5(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21651, 550, 21648])).
% 9.07/6.70 tff(21653,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s269, s270)) | node14(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s269, s270)) | node14(s269, s270))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21654,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s269, s270)) | node14(s269, s270))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21655,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s269, s270)) | node14(s269, s270)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21654, 21653])).
% 9.07/6.70 tff(21656,plain,
% 9.07/6.70 (node14(s269, s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21655, 46, 21632])).
% 9.07/6.70 tff(21657,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21658,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21659,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 9.07/6.70 tff(21660,plain,
% 9.07/6.70 ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state2(s270, c_t2)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21659, 922, 21656])).
% 9.07/6.70 tff(21661,plain,
% 9.07/6.70 (m_main_v_state2(s270, c_t2)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21660, 21617, 21549])).
% 9.07/6.70 tff(21662,plain,
% 9.07/6.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21663,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21664,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21663, 21662])).
% 9.07/6.70 tff(21665,plain,
% 9.07/6.70 (~m_main_v_state2(s270, c_n2)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21664, 77, 21661])).
% 9.07/6.70 tff(21666,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s270, c_n2) | (~node4(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s270, c_n2) | (~node4(s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21667,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s270, c_n2) | (~node4(s270)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21668,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s270, c_n2) | (~node4(s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21667, 21666])).
% 9.07/6.70 tff(21669,plain,
% 9.07/6.70 (~node4(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21668, 388, 21665])).
% 9.07/6.70 tff(21670,plain,
% 9.07/6.70 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21671,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21672,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 9.07/6.70 tff(21673,plain,
% 9.07/6.70 (~m_main_v_state2(s270, c_c2)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21672, 260, 21661])).
% 9.07/6.70 tff(21674,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s270, c_c2) | (~node3(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s270, c_c2) | (~node3(s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21675,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s270, c_c2) | (~node3(s270)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21676,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s270, c_c2) | (~node3(s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21675, 21674])).
% 9.07/6.70 tff(21677,plain,
% 9.07/6.70 (~node3(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21676, 399, 21673])).
% 9.07/6.70 tff(21678,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s270, c_n2) | (~node2(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s270, c_n2) | (~node2(s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21679,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s270, c_n2) | (~node2(s270)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21680,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s270, c_n2) | (~node2(s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 9.07/6.70 tff(21681,plain,
% 9.07/6.70 (~node2(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21680, 410, 21665])).
% 9.07/6.70 tff(21682,plain,
% 9.07/6.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21683,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21684,plain,
% 9.07/6.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 9.07/6.70 tff(21685,plain,
% 9.07/6.70 (~m_main_v_state1(s270, c_n1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21684, 454, 21644])).
% 9.07/6.70 tff(21686,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s270, c_n1) | (~node1(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s270, c_n1) | (~node1(s270)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21687,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s270, c_n1) | (~node1(s270)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21688,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s270, c_n1) | (~node1(s270))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 9.07/6.70 tff(21689,plain,
% 9.07/6.70 (~node1(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21688, 421, 21685])).
% 9.07/6.70 tff(21690,plain,
% 9.07/6.70 (succ(s270, s271) <=> succ(s270, s271)),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21691,axiom,(succ(s270, s271)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound271')).
% 9.07/6.70 tff(21692,plain,
% 9.07/6.70 (succ(s270, s271)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21691, 21690])).
% 9.07/6.70 tff(21693,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21694,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21695,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21694, 21693])).
% 9.07/6.70 tff(21696,plain,
% 9.07/6.70 (trans(s270, s271)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21695, 21692, 32])).
% 9.07/6.70 tff(21697,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s270, s271)) | node7(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s270, s271)) | node7(s270, s271))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21698,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s270, s271)) | node7(s270, s271))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21699,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s270, s271)) | node7(s270, s271)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 9.07/6.70 tff(21700,plain,
% 9.07/6.70 (node7(s270, s271)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21699, 206, 21696])).
% 9.07/6.70 tff(21701,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21702,plain,
% 9.07/6.70 (((~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1)) <=> (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21703,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271))))),
% 9.07/6.70 inference(monotonicity,[status(thm)],[21702])).
% 9.07/6.70 tff(21704,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 9.07/6.70 inference(transitivity,[status(thm)],[21703, 21701])).
% 9.07/6.70 tff(21705,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21706,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 9.07/6.70 tff(21707,plain,
% 9.07/6.70 (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21706, 584, 21700])).
% 9.07/6.70 tff(21708,plain,
% 9.07/6.70 (m_main_v_state1(s271, c_n1)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21707, 21689, 21644, 21681, 21677, 21669, 21652])).
% 9.07/6.70 tff(21709,plain,
% 9.07/6.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s269, c_t2) | (~node15(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s269, c_t2) | (~node15(s269)))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21710,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s269, c_t2) | (~node15(s269)))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21711,plain,
% 9.07/6.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s269, c_t2) | (~node15(s269))),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 9.07/6.70 tff(21712,plain,
% 9.07/6.70 (~node15(s269)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21711, 103, 21621])).
% 9.07/6.70 tff(21713,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s269, s270)) | node18(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s269, s270)) | node18(s269, s270))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21714,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s269, s270)) | node18(s269, s270))),
% 9.07/6.70 inference(quant_inst,[status(thm)],[])).
% 9.07/6.70 tff(21715,plain,
% 9.07/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s269, s270)) | node18(s269, s270)),
% 9.07/6.70 inference(modus_ponens,[status(thm)],[21714, 21713])).
% 9.07/6.70 tff(21716,plain,
% 9.07/6.70 (node18(s269, s270)),
% 9.07/6.70 inference(unit_resolution,[status(thm)],[21715, 125, 21632])).
% 9.07/6.70 tff(21717,plain,
% 9.07/6.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 9.07/6.70 inference(rewrite,[status(thm)],[])).
% 9.07/6.70 tff(21718,plain,
% 9.07/6.70 (((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1)) <=> (node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21719,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)))),
% 9.07/6.71 inference(monotonicity,[status(thm)],[21718])).
% 9.07/6.71 tff(21720,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 9.07/6.71 inference(transitivity,[status(thm)],[21719, 21717])).
% 9.07/6.71 tff(21721,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21722,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 9.07/6.71 tff(21723,plain,
% 9.07/6.71 (node15(s269) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21722, 992, 21716])).
% 9.07/6.71 tff(21724,plain,
% 9.07/6.71 (m_main_v_turn(s270, c_1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21723, 21712, 21549, 21617])).
% 9.07/6.71 tff(21725,plain,
% 9.07/6.71 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21726,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21727,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 9.07/6.71 tff(21728,plain,
% 9.07/6.71 (~m_main_v_turn(s270, c_2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21727, 156, 21724])).
% 9.07/6.71 tff(21729,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s270, c_2) | (~node12(s270)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s270, c_2) | (~node12(s270)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21730,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s270, c_2) | (~node12(s270)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21731,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s270, c_2) | (~node12(s270))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21730, 21729])).
% 9.07/6.71 tff(21732,plain,
% 9.07/6.71 (~node12(s270)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21731, 184, 21728])).
% 9.07/6.71 tff(21733,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s270, c_n2) | (~node8(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s270, c_n2) | (~node8(s270)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21734,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s270, c_n2) | (~node8(s270)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21735,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s270, c_n2) | (~node8(s270))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 9.07/6.71 tff(21736,plain,
% 9.07/6.71 (~node8(s270)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21735, 271, 21665])).
% 9.07/6.71 tff(21737,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s270, c_n2) | (~node9(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s270, c_n2) | (~node9(s270)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21738,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s270, c_n2) | (~node9(s270)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21739,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s270, c_n2) | (~node9(s270))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21738, 21737])).
% 9.07/6.71 tff(21740,plain,
% 9.07/6.71 (~node9(s270)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21739, 88, 21665])).
% 9.07/6.71 tff(21741,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s270, c_n2) | (~node10(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s270, c_n2) | (~node10(s270)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21742,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s270, c_n2) | (~node10(s270)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21743,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s270, c_n2) | (~node10(s270))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21742, 21741])).
% 9.07/6.71 tff(21744,plain,
% 9.07/6.71 (~node10(s270)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21743, 249, 21665])).
% 9.07/6.71 tff(21745,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s270, c_n1) | (~node11(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s270, c_n1) | (~node11(s270)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21746,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s270, c_n1) | (~node11(s270)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21747,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s270, c_n1) | (~node11(s270))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21746, 21745])).
% 9.07/6.71 tff(21748,plain,
% 9.07/6.71 (~node11(s270)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21747, 238, 21685])).
% 9.07/6.71 tff(21749,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s270, s271)) | node14(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s270, s271)) | node14(s270, s271))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21750,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s270, s271)) | node14(s270, s271))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21751,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s270, s271)) | node14(s270, s271)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21750, 21749])).
% 9.07/6.71 tff(21752,plain,
% 9.07/6.71 (node14(s270, s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21751, 46, 21696])).
% 9.07/6.71 tff(21753,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21754,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21755,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 9.07/6.71 tff(21756,plain,
% 9.07/6.71 (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21755, 296, 21752])).
% 9.07/6.71 tff(21757,plain,
% 9.07/6.71 (node13(s270, s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21756, 21748, 21673, 21744, 21740, 21736, 21732])).
% 9.07/6.71 tff(21758,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21759,plain,
% 9.07/6.71 (((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2)) <=> ((~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21760,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271))))),
% 9.07/6.71 inference(monotonicity,[status(thm)],[21759])).
% 9.07/6.71 tff(21761,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 9.07/6.71 inference(transitivity,[status(thm)],[21760, 21758])).
% 9.07/6.71 tff(21762,plain,
% 9.07/6.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21763,plain,
% 9.07/6.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21762, 21761])).
% 9.07/6.71 tff(21764,plain,
% 9.07/6.71 (m_main_v_state2(s271, c_t2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21763, 518, 21661, 21757])).
% 9.07/6.71 tff(21765,plain,
% 9.07/6.71 (succ(s271, s272) <=> succ(s271, s272)),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21766,axiom,(succ(s271, s272)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound272')).
% 9.07/6.71 tff(21767,plain,
% 9.07/6.71 (succ(s271, s272)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 9.07/6.71 tff(21768,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21769,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21770,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 9.07/6.71 tff(21771,plain,
% 9.07/6.71 (trans(s271, s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21770, 21767, 32])).
% 9.07/6.71 tff(21772,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s271, s272)) | node7(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s271, s272)) | node7(s271, s272))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21773,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s271, s272)) | node7(s271, s272))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21774,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s271, s272)) | node7(s271, s272)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21773, 21772])).
% 9.07/6.71 tff(21775,plain,
% 9.07/6.71 (node7(s271, s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21774, 206, 21771])).
% 9.07/6.71 tff(21776,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21777,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21778,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21777, 21776])).
% 9.07/6.71 tff(21779,plain,
% 9.07/6.71 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_state1(s272, c_t1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21778, 651, 21775])).
% 9.07/6.71 tff(21780,plain,
% 9.07/6.71 (m_main_v_state1(s272, c_t1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21779, 21764, 21708])).
% 9.07/6.71 tff(21781,plain,
% 9.07/6.71 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21782,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21783,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 9.07/6.71 tff(21784,plain,
% 9.07/6.71 (~m_main_v_state1(s272, c_n1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21783, 10, 21780])).
% 9.07/6.71 tff(21785,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s272, c_n1) | (~node1(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s272, c_n1) | (~node1(s272)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21786,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s272, c_n1) | (~node1(s272)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21787,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s272, c_n1) | (~node1(s272))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21786, 21785])).
% 9.07/6.71 tff(21788,plain,
% 9.07/6.71 (~node1(s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21787, 421, 21784])).
% 9.07/6.71 tff(21789,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s271, s272)) | node18(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s271, s272)) | node18(s271, s272))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21790,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s271, s272)) | node18(s271, s272))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21791,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s271, s272)) | node18(s271, s272)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21790, 21789])).
% 9.07/6.71 tff(21792,plain,
% 9.07/6.71 (node18(s271, s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21791, 125, 21771])).
% 9.07/6.71 tff(21793,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21794,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21795,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21794, 21793])).
% 9.07/6.71 tff(21796,plain,
% 9.07/6.71 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_turn(s272, c_2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21795, 760, 21792])).
% 9.07/6.71 tff(21797,plain,
% 9.07/6.71 (m_main_v_turn(s272, c_2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21796, 21764, 21708])).
% 9.07/6.71 tff(21798,plain,
% 9.07/6.71 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21799,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21800,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21799, 21798])).
% 9.07/6.71 tff(21801,plain,
% 9.07/6.71 (~m_main_v_turn(s272, c_1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21800, 156, 21797])).
% 9.07/6.71 tff(21802,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s272, c_1) | (~node5(s272)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s272, c_1) | (~node5(s272)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21803,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s272, c_1) | (~node5(s272)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21804,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s272, c_1) | (~node5(s272))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 9.07/6.71 tff(21805,plain,
% 9.07/6.71 (~node5(s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21804, 776, 21801])).
% 9.07/6.71 tff(21806,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s272, c_n1) | (~node2(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s272, c_n1) | (~node2(s272)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21807,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s272, c_n1) | (~node2(s272)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21808,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s272, c_n1) | (~node2(s272))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 9.07/6.71 tff(21809,plain,
% 9.07/6.71 (~node2(s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21808, 787, 21784])).
% 9.07/6.71 tff(21810,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s272, c_n1) | (~node3(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s272, c_n1) | (~node3(s272)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21811,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s272, c_n1) | (~node3(s272)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21812,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s272, c_n1) | (~node3(s272))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 9.07/6.71 tff(21813,plain,
% 9.07/6.71 (~node3(s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21812, 798, 21784])).
% 9.07/6.71 tff(21814,plain,
% 9.07/6.71 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21815,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21816,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 9.07/6.71 tff(21817,plain,
% 9.07/6.71 (~m_main_v_state1(s272, c_c1)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21816, 539, 21780])).
% 9.07/6.71 tff(21818,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21819,plain,
% 9.07/6.71 (((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2))) <=> (m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21820,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271))))),
% 9.07/6.71 inference(monotonicity,[status(thm)],[21819])).
% 9.07/6.71 tff(21821,plain,
% 9.07/6.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 9.07/6.71 inference(transitivity,[status(thm)],[21820, 21818])).
% 9.07/6.71 tff(21822,plain,
% 9.07/6.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21823,plain,
% 9.07/6.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21822, 21821])).
% 9.07/6.71 tff(21824,plain,
% 9.07/6.71 (~m_main_v_state2(s271, c_n2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21823, 311, 21665, 21757])).
% 9.07/6.71 tff(21825,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s271, c_n2) | (~node9(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s271, c_n2) | (~node9(s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21826,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s271, c_n2) | (~node9(s271)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21827,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s271, c_n2) | (~node9(s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 9.07/6.71 tff(21828,plain,
% 9.07/6.71 (~node9(s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21827, 88, 21824])).
% 9.07/6.71 tff(21829,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s271, c_n2) | (~node10(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s271, c_n2) | (~node10(s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21830,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s271, c_n2) | (~node10(s271)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21831,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s271, c_n2) | (~node10(s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21830, 21829])).
% 9.07/6.71 tff(21832,plain,
% 9.07/6.71 (~node10(s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21831, 249, 21824])).
% 9.07/6.71 tff(21833,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s271, c_n2) | (~node8(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s271, c_n2) | (~node8(s271)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21834,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s271, c_n2) | (~node8(s271)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21835,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s271, c_n2) | (~node8(s271))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 9.07/6.71 tff(21836,plain,
% 9.07/6.71 (~node8(s271)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21835, 271, 21824])).
% 9.07/6.71 tff(21837,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s271, s272)) | node14(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s271, s272)) | node14(s271, s272))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21838,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s271, s272)) | node14(s271, s272))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21839,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s271, s272)) | node14(s271, s272)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 9.07/6.71 tff(21840,plain,
% 9.07/6.71 (node14(s271, s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21839, 46, 21771])).
% 9.07/6.71 tff(21841,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21842,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21843,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 9.07/6.71 tff(21844,plain,
% 9.07/6.71 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | m_main_v_state2(s272, c_c2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21843, 617, 21840])).
% 9.07/6.71 tff(21845,plain,
% 9.07/6.71 (m_main_v_state2(s272, c_c2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21844, 21836, 21708, 21764, 21832, 21828])).
% 9.07/6.71 tff(21846,plain,
% 9.07/6.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21847,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21848,plain,
% 9.07/6.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21847, 21846])).
% 9.07/6.71 tff(21849,plain,
% 9.07/6.71 (~m_main_v_state2(s272, c_n2)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21848, 697, 21845])).
% 9.07/6.71 tff(21850,plain,
% 9.07/6.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s272, c_n2) | (~node4(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s272, c_n2) | (~node4(s272)))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21851,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s272, c_n2) | (~node4(s272)))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21852,plain,
% 9.07/6.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s272, c_n2) | (~node4(s272))),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21851, 21850])).
% 9.07/6.71 tff(21853,plain,
% 9.07/6.71 (~node4(s272)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21852, 388, 21849])).
% 9.07/6.71 tff(21854,plain,
% 9.07/6.71 (succ(s272, s273) <=> succ(s272, s273)),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21855,axiom,(succ(s272, s273)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound273')).
% 9.07/6.71 tff(21856,plain,
% 9.07/6.71 (succ(s272, s273)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 9.07/6.71 tff(21857,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21858,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 9.07/6.71 inference(quant_inst,[status(thm)],[])).
% 9.07/6.71 tff(21859,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 9.07/6.71 inference(modus_ponens,[status(thm)],[21858, 21857])).
% 9.07/6.71 tff(21860,plain,
% 9.07/6.71 (trans(s272, s273)),
% 9.07/6.71 inference(unit_resolution,[status(thm)],[21859, 21856, 32])).
% 9.07/6.71 tff(21861,plain,
% 9.07/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s272, s273)) | node7(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s272, s273)) | node7(s272, s273))),
% 9.07/6.71 inference(rewrite,[status(thm)],[])).
% 9.07/6.71 tff(21862,plain,
% 9.07/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s272, s273)) | node7(s272, s273))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21863,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s272, s273)) | node7(s272, s273)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 9.07/6.72 tff(21864,plain,
% 9.07/6.72 (node7(s272, s273)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21863, 206, 21860])).
% 9.07/6.72 tff(21865,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21866,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21867,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 9.07/6.72 tff(21868,plain,
% 9.07/6.72 (m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21867, 820, 21864])).
% 9.07/6.72 tff(21869,plain,
% 9.07/6.72 (node6(s272, s273)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21868, 21853, 21817, 21813, 21809, 21805, 21788])).
% 9.07/6.72 tff(21870,plain,
% 9.07/6.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21871,plain,
% 9.07/6.72 (((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1)) <=> ((~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21872,plain,
% 9.07/6.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273))))),
% 9.07/6.72 inference(monotonicity,[status(thm)],[21871])).
% 9.07/6.72 tff(21873,plain,
% 9.07/6.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 9.07/6.72 inference(transitivity,[status(thm)],[21872, 21870])).
% 9.07/6.72 tff(21874,plain,
% 9.07/6.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21875,plain,
% 9.07/6.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 9.07/6.72 tff(21876,plain,
% 9.07/6.72 (m_main_v_state1(s273, c_t1)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21875, 856, 21780, 21869])).
% 9.07/6.72 tff(21877,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21878,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21879,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 9.07/6.72 tff(21880,plain,
% 9.07/6.72 (~m_main_v_state2(s272, c_t2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21879, 260, 21845])).
% 9.07/6.72 tff(21881,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s272, c_t2) | (~node12(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s272, c_t2) | (~node12(s272)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21882,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s272, c_t2) | (~node12(s272)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21883,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s272, c_t2) | (~node12(s272))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 9.07/6.72 tff(21884,plain,
% 9.07/6.72 (~node12(s272)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21883, 633, 21880])).
% 9.07/6.72 tff(21885,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s272, c_n1) | (~node11(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s272, c_n1) | (~node11(s272)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21886,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s272, c_n1) | (~node11(s272)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21887,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s272, c_n1) | (~node11(s272))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 9.07/6.72 tff(21888,plain,
% 9.07/6.72 (~node11(s272)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21887, 238, 21784])).
% 9.07/6.72 tff(21889,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s272, c_c1) | (~node10(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s272, c_c1) | (~node10(s272)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21890,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s272, c_c1) | (~node10(s272)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21891,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s272, c_c1) | (~node10(s272))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 9.07/6.72 tff(21892,plain,
% 9.07/6.72 (~node10(s272)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21891, 675, 21817])).
% 9.07/6.72 tff(21893,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s272, c_n1) | (~node9(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s272, c_n1) | (~node9(s272)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21894,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s272, c_n1) | (~node9(s272)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21895,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s272, c_n1) | (~node9(s272))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 9.07/6.72 tff(21896,plain,
% 9.07/6.72 (~node9(s272)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21895, 686, 21784])).
% 9.07/6.72 tff(21897,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s272, c_n2) | (~node8(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s272, c_n2) | (~node8(s272)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21898,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s272, c_n2) | (~node8(s272)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21899,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s272, c_n2) | (~node8(s272))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21898, 21897])).
% 9.07/6.72 tff(21900,plain,
% 9.07/6.72 (~node8(s272)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21899, 271, 21849])).
% 9.07/6.72 tff(21901,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s272, s273)) | node14(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s272, s273)) | node14(s272, s273))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21902,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s272, s273)) | node14(s272, s273))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21903,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s272, s273)) | node14(s272, s273)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 9.07/6.72 tff(21904,plain,
% 9.07/6.72 (node14(s272, s273)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21903, 46, 21860])).
% 9.07/6.72 tff(21905,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21906,plain,
% 9.07/6.72 (((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2)) <=> (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21907,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2))))),
% 9.07/6.72 inference(monotonicity,[status(thm)],[21906])).
% 9.07/6.72 tff(21908,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 9.07/6.72 inference(transitivity,[status(thm)],[21907, 21905])).
% 9.07/6.72 tff(21909,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21910,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 9.07/6.72 tff(21911,plain,
% 9.07/6.72 (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~m_main_v_state2(s272, c_c2))),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21910, 726, 21904])).
% 9.07/6.72 tff(21912,plain,
% 9.07/6.72 (m_main_v_state2(s273, c_n2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21911, 21900, 21845, 21896, 21892, 21888, 21884])).
% 9.07/6.72 tff(21913,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21914,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21915,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 9.07/6.72 tff(21916,plain,
% 9.07/6.72 (~m_main_v_state2(s273, c_t2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21915, 77, 21912])).
% 9.07/6.72 tff(21917,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s273, c_t2) | (~node15(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s273, c_t2) | (~node15(s273)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21918,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s273, c_t2) | (~node15(s273)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21919,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s273, c_t2) | (~node15(s273))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 9.07/6.72 tff(21920,plain,
% 9.07/6.72 (~node15(s273)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21919, 103, 21916])).
% 9.07/6.72 tff(21921,plain,
% 9.07/6.72 (succ(s273, s274) <=> succ(s273, s274)),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21922,axiom,(succ(s273, s274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound274')).
% 9.07/6.72 tff(21923,plain,
% 9.07/6.72 (succ(s273, s274)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 9.07/6.72 tff(21924,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21925,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21926,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21925, 21924])).
% 9.07/6.72 tff(21927,plain,
% 9.07/6.72 (trans(s273, s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21926, 21923, 32])).
% 9.07/6.72 tff(21928,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s273, s274)) | node18(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s273, s274)) | node18(s273, s274))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21929,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s273, s274)) | node18(s273, s274))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21930,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s273, s274)) | node18(s273, s274)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21929, 21928])).
% 9.07/6.72 tff(21931,plain,
% 9.07/6.72 (node18(s273, s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21930, 125, 21927])).
% 9.07/6.72 tff(21932,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21933,plain,
% 9.07/6.72 (((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1)) <=> (node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21934,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)))),
% 9.07/6.72 inference(monotonicity,[status(thm)],[21933])).
% 9.07/6.72 tff(21935,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 9.07/6.72 inference(transitivity,[status(thm)],[21934, 21932])).
% 9.07/6.72 tff(21936,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21937,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 9.07/6.72 tff(21938,plain,
% 9.07/6.72 (node15(s273) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21937, 992, 21931])).
% 9.07/6.72 tff(21939,plain,
% 9.07/6.72 (m_main_v_turn(s274, c_1)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21938, 21920, 21912, 21876])).
% 9.07/6.72 tff(21940,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21941,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21942,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 9.07/6.72 tff(21943,plain,
% 9.07/6.72 (~m_main_v_turn(s274, c_2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21942, 156, 21939])).
% 9.07/6.72 tff(21944,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s274, c_2) | (~node12(s274)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s274, c_2) | (~node12(s274)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21945,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s274, c_2) | (~node12(s274)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21946,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s274, c_2) | (~node12(s274))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21945, 21944])).
% 9.07/6.72 tff(21947,plain,
% 9.07/6.72 (~node12(s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21946, 184, 21943])).
% 9.07/6.72 tff(21948,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s273, s274)) | node14(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s273, s274)) | node14(s273, s274))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21949,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s273, s274)) | node14(s273, s274))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21950,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s273, s274)) | node14(s273, s274)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 9.07/6.72 tff(21951,plain,
% 9.07/6.72 (node14(s273, s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21950, 46, 21927])).
% 9.07/6.72 tff(21952,plain,
% 9.07/6.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21953,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21954,plain,
% 9.07/6.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2)),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 9.07/6.72 tff(21955,plain,
% 9.07/6.72 ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state2(s274, c_t2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21954, 922, 21951])).
% 9.07/6.72 tff(21956,plain,
% 9.07/6.72 (m_main_v_state2(s274, c_t2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21955, 21876, 21912])).
% 9.07/6.72 tff(21957,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21958,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21959,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 9.07/6.72 tff(21960,plain,
% 9.07/6.72 (~m_main_v_state2(s274, c_n2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21959, 77, 21956])).
% 9.07/6.72 tff(21961,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s274, c_n2) | (~node8(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s274, c_n2) | (~node8(s274)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21962,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s274, c_n2) | (~node8(s274)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21963,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s274, c_n2) | (~node8(s274))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 9.07/6.72 tff(21964,plain,
% 9.07/6.72 (~node8(s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21963, 271, 21960])).
% 9.07/6.72 tff(21965,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s274, c_n2) | (~node9(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s274, c_n2) | (~node9(s274)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21966,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s274, c_n2) | (~node9(s274)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21967,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s274, c_n2) | (~node9(s274))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21966, 21965])).
% 9.07/6.72 tff(21968,plain,
% 9.07/6.72 (~node9(s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21967, 88, 21960])).
% 9.07/6.72 tff(21969,plain,
% 9.07/6.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s274, c_n2) | (~node10(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s274, c_n2) | (~node10(s274)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21970,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s274, c_n2) | (~node10(s274)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21971,plain,
% 9.07/6.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s274, c_n2) | (~node10(s274))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 9.07/6.72 tff(21972,plain,
% 9.07/6.72 (~node10(s274)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21971, 249, 21960])).
% 9.07/6.72 tff(21973,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21974,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21975,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 9.07/6.72 tff(21976,plain,
% 9.07/6.72 (~m_main_v_state2(s274, c_c2)),
% 9.07/6.72 inference(unit_resolution,[status(thm)],[21975, 260, 21956])).
% 9.07/6.72 tff(21977,plain,
% 9.07/6.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))),
% 9.07/6.72 inference(rewrite,[status(thm)],[])).
% 9.07/6.72 tff(21978,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))),
% 9.07/6.72 inference(quant_inst,[status(thm)],[])).
% 9.07/6.72 tff(21979,plain,
% 9.07/6.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2))),
% 9.07/6.72 inference(modus_ponens,[status(thm)],[21978, 21977])).
% 9.07/6.73 tff(21980,plain,
% 9.07/6.73 (~m_main_v_state2(s273, c_c2)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[21979, 697, 21912])).
% 9.07/6.73 tff(21981,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s273, c_c2) | (~node3(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s273, c_c2) | (~node3(s273)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(21982,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s273, c_c2) | (~node3(s273)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(21983,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s273, c_c2) | (~node3(s273))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 9.07/6.73 tff(21984,plain,
% 9.07/6.73 (~node3(s273)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[21983, 399, 21980])).
% 9.07/6.73 tff(21985,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(21986,plain,
% 9.07/6.73 (((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1))) <=> (m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(21987,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273))))),
% 9.07/6.73 inference(monotonicity,[status(thm)],[21986])).
% 9.07/6.73 tff(21988,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 9.07/6.73 inference(transitivity,[status(thm)],[21987, 21985])).
% 9.07/6.73 tff(21989,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(21990,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 9.07/6.73 tff(21991,plain,
% 9.07/6.73 (~m_main_v_state1(s273, c_n1)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[21990, 835, 21784, 21869])).
% 9.07/6.73 tff(21992,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s273, c_n1) | (~node2(s273)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s273, c_n1) | (~node2(s273)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(21993,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s273, c_n1) | (~node2(s273)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(21994,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s273, c_n1) | (~node2(s273))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[21993, 21992])).
% 9.07/6.73 tff(21995,plain,
% 9.07/6.73 (~node2(s273)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[21994, 787, 21991])).
% 9.07/6.73 tff(21996,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s273, c_t2) | (~node1(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s273, c_t2) | (~node1(s273)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(21997,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s273, c_t2) | (~node1(s273)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(21998,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s273, c_t2) | (~node1(s273))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 9.07/6.73 tff(21999,plain,
% 9.07/6.73 (~node1(s273)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[21998, 195, 21916])).
% 9.07/6.73 tff(22000,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s273, s274)) | node7(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s273, s274)) | node7(s273, s274))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22001,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s273, s274)) | node7(s273, s274))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22002,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s273, s274)) | node7(s273, s274)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 9.07/6.73 tff(22003,plain,
% 9.07/6.73 (node7(s273, s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22002, 206, 21927])).
% 9.07/6.73 tff(22004,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22005,plain,
% 9.07/6.73 (((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1)) <=> ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22006,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274))))),
% 9.07/6.73 inference(monotonicity,[status(thm)],[22005])).
% 9.07/6.73 tff(22007,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 9.07/6.73 inference(transitivity,[status(thm)],[22006, 22004])).
% 9.07/6.73 tff(22008,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22009,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22008, 22007])).
% 9.07/6.73 tff(22010,plain,
% 9.07/6.73 ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22009, 892, 22003])).
% 9.07/6.73 tff(22011,plain,
% 9.07/6.73 (m_main_v_state1(s274, c_c1)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22010, 21999, 21912, 21876, 21995, 21984])).
% 9.07/6.73 tff(22012,plain,
% 9.07/6.73 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22013,plain,
% 9.07/6.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22014,plain,
% 9.07/6.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 9.07/6.73 tff(22015,plain,
% 9.07/6.73 (~m_main_v_state1(s274, c_n1)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22014, 454, 22011])).
% 9.07/6.73 tff(22016,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s274, c_n1) | (~node11(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s274, c_n1) | (~node11(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22017,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s274, c_n1) | (~node11(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22018,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s274, c_n1) | (~node11(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22017, 22016])).
% 9.07/6.73 tff(22019,plain,
% 9.07/6.73 (~node11(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22018, 238, 22015])).
% 9.07/6.73 tff(22020,plain,
% 9.07/6.73 (succ(s274, s275) <=> succ(s274, s275)),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22021,axiom,(succ(s274, s275)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound275')).
% 9.07/6.73 tff(22022,plain,
% 9.07/6.73 (succ(s274, s275)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 9.07/6.73 tff(22023,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22024,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22025,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 9.07/6.73 tff(22026,plain,
% 9.07/6.73 (trans(s274, s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22025, 22022, 32])).
% 9.07/6.73 tff(22027,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s274, s275)) | node14(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s274, s275)) | node14(s274, s275))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22028,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s274, s275)) | node14(s274, s275))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22029,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s274, s275)) | node14(s274, s275)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 9.07/6.73 tff(22030,plain,
% 9.07/6.73 (node14(s274, s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22029, 46, 22026])).
% 9.07/6.73 tff(22031,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22032,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22033,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 9.07/6.73 tff(22034,plain,
% 9.07/6.73 (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22033, 296, 22030])).
% 9.07/6.73 tff(22035,plain,
% 9.07/6.73 (node13(s274, s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22034, 22019, 21976, 21972, 21968, 21964, 21947])).
% 9.07/6.73 tff(22036,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22037,plain,
% 9.07/6.73 (((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2))) <=> (m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22038,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275))))),
% 9.07/6.73 inference(monotonicity,[status(thm)],[22037])).
% 9.07/6.73 tff(22039,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 9.07/6.73 inference(transitivity,[status(thm)],[22038, 22036])).
% 9.07/6.73 tff(22040,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22041,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 9.07/6.73 tff(22042,plain,
% 9.07/6.73 (~m_main_v_state2(s275, c_n2)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22041, 311, 21960, 22035])).
% 9.07/6.73 tff(22043,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s275, c_n2) | (~node9(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s275, c_n2) | (~node9(s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22044,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s275, c_n2) | (~node9(s275)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22045,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s275, c_n2) | (~node9(s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 9.07/6.73 tff(22046,plain,
% 9.07/6.73 (~node9(s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22045, 88, 22042])).
% 9.07/6.73 tff(22047,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s275, c_n2) | (~node10(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s275, c_n2) | (~node10(s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22048,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s275, c_n2) | (~node10(s275)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22049,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s275, c_n2) | (~node10(s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 9.07/6.73 tff(22050,plain,
% 9.07/6.73 (~node10(s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22049, 249, 22042])).
% 9.07/6.73 tff(22051,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22052,plain,
% 9.07/6.73 (((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2)) <=> ((~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22053,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275))))),
% 9.07/6.73 inference(monotonicity,[status(thm)],[22052])).
% 9.07/6.73 tff(22054,plain,
% 9.07/6.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 9.07/6.73 inference(transitivity,[status(thm)],[22053, 22051])).
% 9.07/6.73 tff(22055,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22056,plain,
% 9.07/6.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22055, 22054])).
% 9.07/6.73 tff(22057,plain,
% 9.07/6.73 (m_main_v_state2(s275, c_t2)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22056, 518, 21956, 22035])).
% 9.07/6.73 tff(22058,plain,
% 9.07/6.73 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22059,plain,
% 9.07/6.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22060,plain,
% 9.07/6.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 9.07/6.73 tff(22061,plain,
% 9.07/6.73 (~m_main_v_state1(s274, c_t1)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22060, 539, 22011])).
% 9.07/6.73 tff(22062,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s274, c_t1) | (~node5(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s274, c_t1) | (~node5(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22063,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s274, c_t1) | (~node5(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22064,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s274, c_t1) | (~node5(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22063, 22062])).
% 9.07/6.73 tff(22065,plain,
% 9.07/6.73 (~node5(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22064, 550, 22061])).
% 9.07/6.73 tff(22066,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s274, c_n2) | (~node4(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s274, c_n2) | (~node4(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22067,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s274, c_n2) | (~node4(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22068,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s274, c_n2) | (~node4(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 9.07/6.73 tff(22069,plain,
% 9.07/6.73 (~node4(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22068, 388, 21960])).
% 9.07/6.73 tff(22070,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s274, c_c2) | (~node3(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s274, c_c2) | (~node3(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22071,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s274, c_c2) | (~node3(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22072,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s274, c_c2) | (~node3(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22071, 22070])).
% 9.07/6.73 tff(22073,plain,
% 9.07/6.73 (~node3(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22072, 399, 21976])).
% 9.07/6.73 tff(22074,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s274, c_n2) | (~node2(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s274, c_n2) | (~node2(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22075,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s274, c_n2) | (~node2(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22076,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s274, c_n2) | (~node2(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22075, 22074])).
% 9.07/6.73 tff(22077,plain,
% 9.07/6.73 (~node2(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22076, 410, 21960])).
% 9.07/6.73 tff(22078,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s274, c_n1) | (~node1(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s274, c_n1) | (~node1(s274)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22079,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s274, c_n1) | (~node1(s274)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22080,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s274, c_n1) | (~node1(s274))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22079, 22078])).
% 9.07/6.73 tff(22081,plain,
% 9.07/6.73 (~node1(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22080, 421, 22015])).
% 9.07/6.73 tff(22082,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s274, s275)) | node7(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s274, s275)) | node7(s274, s275))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22083,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s274, s275)) | node7(s274, s275))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22084,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s274, s275)) | node7(s274, s275)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22083, 22082])).
% 9.07/6.73 tff(22085,plain,
% 9.07/6.73 (node7(s274, s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22084, 206, 22026])).
% 9.07/6.73 tff(22086,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22087,plain,
% 9.07/6.73 (((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1)) <=> (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22088,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275))))),
% 9.07/6.73 inference(monotonicity,[status(thm)],[22087])).
% 9.07/6.73 tff(22089,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 9.07/6.73 inference(transitivity,[status(thm)],[22088, 22086])).
% 9.07/6.73 tff(22090,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22091,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 9.07/6.73 tff(22092,plain,
% 9.07/6.73 (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22091, 584, 22085])).
% 9.07/6.73 tff(22093,plain,
% 9.07/6.73 (m_main_v_state1(s275, c_n1)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22092, 22081, 22011, 22077, 22073, 22069, 22065])).
% 9.07/6.73 tff(22094,plain,
% 9.07/6.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s275, c_n2) | (~node8(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s275, c_n2) | (~node8(s275)))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22095,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s275, c_n2) | (~node8(s275)))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22096,plain,
% 9.07/6.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s275, c_n2) | (~node8(s275))),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22095, 22094])).
% 9.07/6.73 tff(22097,plain,
% 9.07/6.73 (~node8(s275)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22096, 271, 22042])).
% 9.07/6.73 tff(22098,plain,
% 9.07/6.73 (succ(s275, s276) <=> succ(s275, s276)),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22099,axiom,(succ(s275, s276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound276')).
% 9.07/6.73 tff(22100,plain,
% 9.07/6.73 (succ(s275, s276)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22099, 22098])).
% 9.07/6.73 tff(22101,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22102,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22103,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 9.07/6.73 tff(22104,plain,
% 9.07/6.73 (trans(s275, s276)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22103, 22100, 32])).
% 9.07/6.73 tff(22105,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s275, s276)) | node14(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s275, s276)) | node14(s275, s276))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22106,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s275, s276)) | node14(s275, s276))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22107,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s275, s276)) | node14(s275, s276)),
% 9.07/6.73 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 9.07/6.73 tff(22108,plain,
% 9.07/6.73 (node14(s275, s276)),
% 9.07/6.73 inference(unit_resolution,[status(thm)],[22107, 46, 22104])).
% 9.07/6.73 tff(22109,plain,
% 9.07/6.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2))),
% 9.07/6.73 inference(rewrite,[status(thm)],[])).
% 9.07/6.73 tff(22110,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2))),
% 9.07/6.73 inference(quant_inst,[status(thm)],[])).
% 9.07/6.73 tff(22111,plain,
% 9.07/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2)),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22110, 22109])).
% 9.07/6.74 tff(22112,plain,
% 9.07/6.74 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | m_main_v_state2(s276, c_c2)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22111, 617, 22108])).
% 9.07/6.74 tff(22113,plain,
% 9.07/6.74 (m_main_v_state2(s276, c_c2)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22112, 22097, 22093, 22057, 22050, 22046])).
% 9.07/6.74 tff(22114,plain,
% 9.07/6.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22115,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22116,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 9.07/6.74 tff(22117,plain,
% 9.07/6.74 (~m_main_v_state2(s276, c_t2)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22116, 260, 22113])).
% 9.07/6.74 tff(22118,plain,
% 9.07/6.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s276, c_t2) | (~node12(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s276, c_t2) | (~node12(s276)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22119,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s276, c_t2) | (~node12(s276)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22120,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s276, c_t2) | (~node12(s276))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 9.07/6.74 tff(22121,plain,
% 9.07/6.74 (~node12(s276)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22120, 633, 22117])).
% 9.07/6.74 tff(22122,plain,
% 9.07/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s275, s276)) | node7(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s275, s276)) | node7(s275, s276))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22123,plain,
% 9.07/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s275, s276)) | node7(s275, s276))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22124,plain,
% 9.07/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s275, s276)) | node7(s275, s276)),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22123, 22122])).
% 9.07/6.74 tff(22125,plain,
% 9.07/6.74 (node7(s275, s276)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22124, 206, 22104])).
% 9.07/6.74 tff(22126,plain,
% 9.07/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22127,plain,
% 9.07/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22128,plain,
% 9.07/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1)),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 9.07/6.74 tff(22129,plain,
% 9.07/6.74 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_state1(s276, c_t1)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22128, 651, 22125])).
% 9.07/6.74 tff(22130,plain,
% 9.07/6.74 (m_main_v_state1(s276, c_t1)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22129, 22057, 22093])).
% 9.07/6.74 tff(22131,plain,
% 9.07/6.74 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22132,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22133,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 9.07/6.74 tff(22134,plain,
% 9.07/6.74 (~m_main_v_state1(s276, c_n1)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22133, 10, 22130])).
% 9.07/6.74 tff(22135,plain,
% 9.07/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s276, c_n1) | (~node11(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s276, c_n1) | (~node11(s276)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22136,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s276, c_n1) | (~node11(s276)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22137,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s276, c_n1) | (~node11(s276))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 9.07/6.74 tff(22138,plain,
% 9.07/6.74 (~node11(s276)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22137, 238, 22134])).
% 9.07/6.74 tff(22139,plain,
% 9.07/6.74 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22140,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22141,plain,
% 9.07/6.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22140, 22139])).
% 9.07/6.74 tff(22142,plain,
% 9.07/6.74 (~m_main_v_state1(s276, c_c1)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22141, 539, 22130])).
% 9.07/6.74 tff(22143,plain,
% 9.07/6.74 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s276, c_c1) | (~node10(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s276, c_c1) | (~node10(s276)))),
% 9.07/6.74 inference(rewrite,[status(thm)],[])).
% 9.07/6.74 tff(22144,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s276, c_c1) | (~node10(s276)))),
% 9.07/6.74 inference(quant_inst,[status(thm)],[])).
% 9.07/6.74 tff(22145,plain,
% 9.07/6.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s276, c_c1) | (~node10(s276))),
% 9.07/6.74 inference(modus_ponens,[status(thm)],[22144, 22143])).
% 9.07/6.74 tff(22146,plain,
% 9.07/6.74 (~node10(s276)),
% 9.07/6.74 inference(unit_resolution,[status(thm)],[22145, 675, 22142])).
% 9.07/6.74 tff(22147,plain,
% 9.07/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s276, c_n1) | (~node9(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s276, c_n1) | (~node9(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22148,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s276, c_n1) | (~node9(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22149,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s276, c_n1) | (~node9(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 9.11/6.74 tff(22150,plain,
% 9.11/6.74 (~node9(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22149, 686, 22134])).
% 9.11/6.74 tff(22151,plain,
% 9.11/6.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22152,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22153,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 9.11/6.74 tff(22154,plain,
% 9.11/6.74 (~m_main_v_state2(s276, c_n2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22153, 697, 22113])).
% 9.11/6.74 tff(22155,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s276, c_n2) | (~node8(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s276, c_n2) | (~node8(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22156,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s276, c_n2) | (~node8(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22157,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s276, c_n2) | (~node8(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 9.11/6.74 tff(22158,plain,
% 9.11/6.74 (~node8(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22157, 271, 22154])).
% 9.11/6.74 tff(22159,plain,
% 9.11/6.74 (succ(s276, s277) <=> succ(s276, s277)),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22160,axiom,(succ(s276, s277)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound277')).
% 9.11/6.74 tff(22161,plain,
% 9.11/6.74 (succ(s276, s277)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 9.11/6.74 tff(22162,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22163,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22164,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22163, 22162])).
% 9.11/6.74 tff(22165,plain,
% 9.11/6.74 (trans(s276, s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22164, 22161, 32])).
% 9.11/6.74 tff(22166,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s276, s277)) | node14(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s276, s277)) | node14(s276, s277))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22167,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s276, s277)) | node14(s276, s277))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22168,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s276, s277)) | node14(s276, s277)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22167, 22166])).
% 9.11/6.74 tff(22169,plain,
% 9.11/6.74 (node14(s276, s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22168, 46, 22165])).
% 9.11/6.74 tff(22170,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22171,plain,
% 9.11/6.74 (((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2)) <=> (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22172,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2))))),
% 9.11/6.74 inference(monotonicity,[status(thm)],[22171])).
% 9.11/6.74 tff(22173,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 9.11/6.74 inference(transitivity,[status(thm)],[22172, 22170])).
% 9.11/6.74 tff(22174,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22175,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22174, 22173])).
% 9.11/6.74 tff(22176,plain,
% 9.11/6.74 (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~m_main_v_state2(s276, c_c2))),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22175, 726, 22169])).
% 9.11/6.74 tff(22177,plain,
% 9.11/6.74 (m_main_v_state2(s277, c_n2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22176, 22158, 22113, 22150, 22146, 22138, 22121])).
% 9.11/6.74 tff(22178,plain,
% 9.11/6.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22179,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22180,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22179, 22178])).
% 9.11/6.74 tff(22181,plain,
% 9.11/6.74 (~m_main_v_state2(s277, c_c2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22180, 697, 22177])).
% 9.11/6.74 tff(22182,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s277, c_c2) | (~node3(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s277, c_c2) | (~node3(s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22183,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s277, c_c2) | (~node3(s277)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22184,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s277, c_c2) | (~node3(s277))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22183, 22182])).
% 9.11/6.74 tff(22185,plain,
% 9.11/6.74 (~node3(s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22184, 399, 22181])).
% 9.11/6.74 tff(22186,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s276, c_n1) | (~node1(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s276, c_n1) | (~node1(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22187,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s276, c_n1) | (~node1(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22188,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s276, c_n1) | (~node1(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 9.11/6.74 tff(22189,plain,
% 9.11/6.74 (~node1(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22188, 421, 22134])).
% 9.11/6.74 tff(22190,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s275, s276)) | node18(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s275, s276)) | node18(s275, s276))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22191,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s275, s276)) | node18(s275, s276))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22192,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s275, s276)) | node18(s275, s276)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22191, 22190])).
% 9.11/6.74 tff(22193,plain,
% 9.11/6.74 (node18(s275, s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22192, 125, 22104])).
% 9.11/6.74 tff(22194,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22195,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22196,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22195, 22194])).
% 9.11/6.74 tff(22197,plain,
% 9.11/6.74 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_turn(s276, c_2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22196, 760, 22193])).
% 9.11/6.74 tff(22198,plain,
% 9.11/6.74 (m_main_v_turn(s276, c_2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22197, 22057, 22093])).
% 9.11/6.74 tff(22199,plain,
% 9.11/6.74 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22200,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22201,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22200, 22199])).
% 9.11/6.74 tff(22202,plain,
% 9.11/6.74 (~m_main_v_turn(s276, c_1)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22201, 156, 22198])).
% 9.11/6.74 tff(22203,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s276, c_1) | (~node5(s276)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s276, c_1) | (~node5(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22204,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s276, c_1) | (~node5(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22205,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s276, c_1) | (~node5(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22204, 22203])).
% 9.11/6.74 tff(22206,plain,
% 9.11/6.74 (~node5(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22205, 776, 22202])).
% 9.11/6.74 tff(22207,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s276, c_n1) | (~node2(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s276, c_n1) | (~node2(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22208,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s276, c_n1) | (~node2(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22209,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s276, c_n1) | (~node2(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 9.11/6.74 tff(22210,plain,
% 9.11/6.74 (~node2(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22209, 787, 22134])).
% 9.11/6.74 tff(22211,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s276, c_n1) | (~node3(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s276, c_n1) | (~node3(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22212,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s276, c_n1) | (~node3(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22213,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s276, c_n1) | (~node3(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22212, 22211])).
% 9.11/6.74 tff(22214,plain,
% 9.11/6.74 (~node3(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22213, 798, 22134])).
% 9.11/6.74 tff(22215,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s276, c_n2) | (~node4(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s276, c_n2) | (~node4(s276)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22216,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s276, c_n2) | (~node4(s276)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22217,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s276, c_n2) | (~node4(s276))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22216, 22215])).
% 9.11/6.74 tff(22218,plain,
% 9.11/6.74 (~node4(s276)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22217, 388, 22154])).
% 9.11/6.74 tff(22219,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s276, s277)) | node7(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s276, s277)) | node7(s276, s277))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22220,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s276, s277)) | node7(s276, s277))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22221,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s276, s277)) | node7(s276, s277)),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 9.11/6.74 tff(22222,plain,
% 9.11/6.74 (node7(s276, s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22221, 206, 22165])).
% 9.11/6.74 tff(22223,plain,
% 9.11/6.74 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22224,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22225,plain,
% 9.11/6.74 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 9.11/6.74 tff(22226,plain,
% 9.11/6.74 (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22225, 820, 22222])).
% 9.11/6.74 tff(22227,plain,
% 9.11/6.74 (node6(s276, s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22226, 22218, 22142, 22214, 22210, 22206, 22189])).
% 9.11/6.74 tff(22228,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22229,plain,
% 9.11/6.74 (((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1))) <=> (m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22230,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277))))),
% 9.11/6.74 inference(monotonicity,[status(thm)],[22229])).
% 9.11/6.74 tff(22231,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 9.11/6.74 inference(transitivity,[status(thm)],[22230, 22228])).
% 9.11/6.74 tff(22232,plain,
% 9.11/6.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22233,plain,
% 9.11/6.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22232, 22231])).
% 9.11/6.74 tff(22234,plain,
% 9.11/6.74 (~m_main_v_state1(s277, c_n1)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22233, 835, 22134, 22227])).
% 9.11/6.74 tff(22235,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s277, c_n1) | (~node2(s277)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s277, c_n1) | (~node2(s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22236,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s277, c_n1) | (~node2(s277)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22237,plain,
% 9.11/6.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s277, c_n1) | (~node2(s277))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 9.11/6.74 tff(22238,plain,
% 9.11/6.74 (~node2(s277)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22237, 787, 22234])).
% 9.11/6.74 tff(22239,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22240,plain,
% 9.11/6.74 (((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1)) <=> ((~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22241,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277))))),
% 9.11/6.74 inference(monotonicity,[status(thm)],[22240])).
% 9.11/6.74 tff(22242,plain,
% 9.11/6.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 9.11/6.74 inference(transitivity,[status(thm)],[22241, 22239])).
% 9.11/6.74 tff(22243,plain,
% 9.11/6.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22244,plain,
% 9.11/6.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22243, 22242])).
% 9.11/6.74 tff(22245,plain,
% 9.11/6.74 (m_main_v_state1(s277, c_t1)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22244, 856, 22130, 22227])).
% 9.11/6.74 tff(22246,plain,
% 9.11/6.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))),
% 9.11/6.74 inference(rewrite,[status(thm)],[])).
% 9.11/6.74 tff(22247,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))),
% 9.11/6.74 inference(quant_inst,[status(thm)],[])).
% 9.11/6.74 tff(22248,plain,
% 9.11/6.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2))),
% 9.11/6.74 inference(modus_ponens,[status(thm)],[22247, 22246])).
% 9.11/6.74 tff(22249,plain,
% 9.11/6.74 (~m_main_v_state2(s277, c_t2)),
% 9.11/6.74 inference(unit_resolution,[status(thm)],[22248, 77, 22177])).
% 9.11/6.74 tff(22250,plain,
% 9.11/6.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s277, c_t2) | (~node1(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s277, c_t2) | (~node1(s277)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22251,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s277, c_t2) | (~node1(s277)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22252,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s277, c_t2) | (~node1(s277))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 9.11/6.75 tff(22253,plain,
% 9.11/6.75 (~node1(s277)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22252, 195, 22249])).
% 9.11/6.75 tff(22254,plain,
% 9.11/6.75 (succ(s277, s278) <=> succ(s277, s278)),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22255,axiom,(succ(s277, s278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound278')).
% 9.11/6.75 tff(22256,plain,
% 9.11/6.75 (succ(s277, s278)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 9.11/6.75 tff(22257,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22258,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22259,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22258, 22257])).
% 9.11/6.75 tff(22260,plain,
% 9.11/6.75 (trans(s277, s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22259, 22256, 32])).
% 9.11/6.75 tff(22261,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s277, s278)) | node7(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s277, s278)) | node7(s277, s278))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22262,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s277, s278)) | node7(s277, s278))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22263,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s277, s278)) | node7(s277, s278)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22262, 22261])).
% 9.11/6.75 tff(22264,plain,
% 9.11/6.75 (node7(s277, s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22263, 206, 22260])).
% 9.11/6.75 tff(22265,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22266,plain,
% 9.11/6.75 (((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1)) <=> ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22267,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278))))),
% 9.11/6.75 inference(monotonicity,[status(thm)],[22266])).
% 9.11/6.75 tff(22268,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 9.11/6.75 inference(transitivity,[status(thm)],[22267, 22265])).
% 9.11/6.75 tff(22269,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22270,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22269, 22268])).
% 9.11/6.75 tff(22271,plain,
% 9.11/6.75 ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22270, 892, 22264])).
% 9.11/6.75 tff(22272,plain,
% 9.11/6.75 (m_main_v_state1(s278, c_c1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22271, 22253, 22177, 22245, 22238, 22185])).
% 9.11/6.75 tff(22273,plain,
% 9.11/6.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22274,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22275,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22274, 22273])).
% 9.11/6.75 tff(22276,plain,
% 9.11/6.75 (~m_main_v_state1(s278, c_t1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22275, 539, 22272])).
% 9.11/6.75 tff(22277,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s278, c_t1) | (~node5(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s278, c_t1) | (~node5(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22278,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s278, c_t1) | (~node5(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22279,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s278, c_t1) | (~node5(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22278, 22277])).
% 9.11/6.75 tff(22280,plain,
% 9.11/6.75 (~node5(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22279, 550, 22276])).
% 9.11/6.75 tff(22281,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s277, s278)) | node14(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s277, s278)) | node14(s277, s278))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22282,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s277, s278)) | node14(s277, s278))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22283,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s277, s278)) | node14(s277, s278)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22282, 22281])).
% 9.11/6.75 tff(22284,plain,
% 9.11/6.75 (node14(s277, s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22283, 46, 22260])).
% 9.11/6.75 tff(22285,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22286,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22287,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22286, 22285])).
% 9.11/6.75 tff(22288,plain,
% 9.11/6.75 ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state2(s278, c_t2)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22287, 922, 22284])).
% 9.11/6.75 tff(22289,plain,
% 9.11/6.75 (m_main_v_state2(s278, c_t2)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22288, 22245, 22177])).
% 9.11/6.75 tff(22290,plain,
% 9.11/6.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22291,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22292,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 9.11/6.75 tff(22293,plain,
% 9.11/6.75 (~m_main_v_state2(s278, c_n2)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22292, 77, 22289])).
% 9.11/6.75 tff(22294,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s278, c_n2) | (~node4(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s278, c_n2) | (~node4(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22295,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s278, c_n2) | (~node4(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22296,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s278, c_n2) | (~node4(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22295, 22294])).
% 9.11/6.75 tff(22297,plain,
% 9.11/6.75 (~node4(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22296, 388, 22293])).
% 9.11/6.75 tff(22298,plain,
% 9.11/6.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22299,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22300,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22299, 22298])).
% 9.11/6.75 tff(22301,plain,
% 9.11/6.75 (~m_main_v_state2(s278, c_c2)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22300, 260, 22289])).
% 9.11/6.75 tff(22302,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s278, c_c2) | (~node3(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s278, c_c2) | (~node3(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22303,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s278, c_c2) | (~node3(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22304,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s278, c_c2) | (~node3(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22303, 22302])).
% 9.11/6.75 tff(22305,plain,
% 9.11/6.75 (~node3(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22304, 399, 22301])).
% 9.11/6.75 tff(22306,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s278, c_n2) | (~node2(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s278, c_n2) | (~node2(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22307,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s278, c_n2) | (~node2(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22308,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s278, c_n2) | (~node2(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 9.11/6.75 tff(22309,plain,
% 9.11/6.75 (~node2(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22308, 410, 22293])).
% 9.11/6.75 tff(22310,plain,
% 9.11/6.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22311,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22312,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 9.11/6.75 tff(22313,plain,
% 9.11/6.75 (~m_main_v_state1(s278, c_n1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22312, 454, 22272])).
% 9.11/6.75 tff(22314,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s278, c_n1) | (~node1(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s278, c_n1) | (~node1(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22315,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s278, c_n1) | (~node1(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22316,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s278, c_n1) | (~node1(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22315, 22314])).
% 9.11/6.75 tff(22317,plain,
% 9.11/6.75 (~node1(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22316, 421, 22313])).
% 9.11/6.75 tff(22318,plain,
% 9.11/6.75 (succ(s278, s279) <=> succ(s278, s279)),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22319,axiom,(succ(s278, s279)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound279')).
% 9.11/6.75 tff(22320,plain,
% 9.11/6.75 (succ(s278, s279)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22319, 22318])).
% 9.11/6.75 tff(22321,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22322,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22323,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 9.11/6.75 tff(22324,plain,
% 9.11/6.75 (trans(s278, s279)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22323, 22320, 32])).
% 9.11/6.75 tff(22325,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s278, s279)) | node7(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s278, s279)) | node7(s278, s279))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22326,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s278, s279)) | node7(s278, s279))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22327,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s278, s279)) | node7(s278, s279)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22326, 22325])).
% 9.11/6.75 tff(22328,plain,
% 9.11/6.75 (node7(s278, s279)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22327, 206, 22324])).
% 9.11/6.75 tff(22329,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22330,plain,
% 9.11/6.75 (((~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1)) <=> (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22331,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279))))),
% 9.11/6.75 inference(monotonicity,[status(thm)],[22330])).
% 9.11/6.75 tff(22332,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 9.11/6.75 inference(transitivity,[status(thm)],[22331, 22329])).
% 9.11/6.75 tff(22333,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22334,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22333, 22332])).
% 9.11/6.75 tff(22335,plain,
% 9.11/6.75 (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22334, 584, 22328])).
% 9.11/6.75 tff(22336,plain,
% 9.11/6.75 (m_main_v_state1(s279, c_n1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22335, 22317, 22272, 22309, 22305, 22297, 22280])).
% 9.11/6.75 tff(22337,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s277, c_t2) | (~node15(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s277, c_t2) | (~node15(s277)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22338,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s277, c_t2) | (~node15(s277)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22339,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s277, c_t2) | (~node15(s277))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22338, 22337])).
% 9.11/6.75 tff(22340,plain,
% 9.11/6.75 (~node15(s277)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22339, 103, 22249])).
% 9.11/6.75 tff(22341,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s277, s278)) | node18(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s277, s278)) | node18(s277, s278))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22342,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s277, s278)) | node18(s277, s278))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22343,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s277, s278)) | node18(s277, s278)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 9.11/6.75 tff(22344,plain,
% 9.11/6.75 (node18(s277, s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22343, 125, 22260])).
% 9.11/6.75 tff(22345,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22346,plain,
% 9.11/6.75 (((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1)) <=> (node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22347,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)))),
% 9.11/6.75 inference(monotonicity,[status(thm)],[22346])).
% 9.11/6.75 tff(22348,plain,
% 9.11/6.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 9.11/6.75 inference(transitivity,[status(thm)],[22347, 22345])).
% 9.11/6.75 tff(22349,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22350,plain,
% 9.11/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 9.11/6.75 tff(22351,plain,
% 9.11/6.75 (node15(s277) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22350, 992, 22344])).
% 9.11/6.75 tff(22352,plain,
% 9.11/6.75 (m_main_v_turn(s278, c_1)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22351, 22340, 22177, 22245])).
% 9.11/6.75 tff(22353,plain,
% 9.11/6.75 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22354,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22355,plain,
% 9.11/6.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22354, 22353])).
% 9.11/6.75 tff(22356,plain,
% 9.11/6.75 (~m_main_v_turn(s278, c_2)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22355, 156, 22352])).
% 9.11/6.75 tff(22357,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s278, c_2) | (~node12(s278)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s278, c_2) | (~node12(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22358,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s278, c_2) | (~node12(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22359,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s278, c_2) | (~node12(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22358, 22357])).
% 9.11/6.75 tff(22360,plain,
% 9.11/6.75 (~node12(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22359, 184, 22356])).
% 9.11/6.75 tff(22361,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s278, c_n2) | (~node8(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s278, c_n2) | (~node8(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22362,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s278, c_n2) | (~node8(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22363,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s278, c_n2) | (~node8(s278))),
% 9.11/6.75 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 9.11/6.75 tff(22364,plain,
% 9.11/6.75 (~node8(s278)),
% 9.11/6.75 inference(unit_resolution,[status(thm)],[22363, 271, 22293])).
% 9.11/6.75 tff(22365,plain,
% 9.11/6.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s278, c_n2) | (~node9(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s278, c_n2) | (~node9(s278)))),
% 9.11/6.75 inference(rewrite,[status(thm)],[])).
% 9.11/6.75 tff(22366,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s278, c_n2) | (~node9(s278)))),
% 9.11/6.75 inference(quant_inst,[status(thm)],[])).
% 9.11/6.75 tff(22367,plain,
% 9.11/6.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s278, c_n2) | (~node9(s278))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 9.11/6.76 tff(22368,plain,
% 9.11/6.76 (~node9(s278)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22367, 88, 22293])).
% 9.11/6.76 tff(22369,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s278, c_n2) | (~node10(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s278, c_n2) | (~node10(s278)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22370,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s278, c_n2) | (~node10(s278)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22371,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s278, c_n2) | (~node10(s278))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 9.11/6.76 tff(22372,plain,
% 9.11/6.76 (~node10(s278)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22371, 249, 22293])).
% 9.11/6.76 tff(22373,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s278, c_n1) | (~node11(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s278, c_n1) | (~node11(s278)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22374,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s278, c_n1) | (~node11(s278)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22375,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s278, c_n1) | (~node11(s278))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 9.11/6.76 tff(22376,plain,
% 9.11/6.76 (~node11(s278)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22375, 238, 22313])).
% 9.11/6.76 tff(22377,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s278, s279)) | node14(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s278, s279)) | node14(s278, s279))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22378,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s278, s279)) | node14(s278, s279))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22379,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s278, s279)) | node14(s278, s279)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22378, 22377])).
% 9.11/6.76 tff(22380,plain,
% 9.11/6.76 (node14(s278, s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22379, 46, 22324])).
% 9.11/6.76 tff(22381,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22382,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22383,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22382, 22381])).
% 9.11/6.76 tff(22384,plain,
% 9.11/6.76 (m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22383, 296, 22380])).
% 9.11/6.76 tff(22385,plain,
% 9.11/6.76 (node13(s278, s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22384, 22376, 22301, 22372, 22368, 22364, 22360])).
% 9.11/6.76 tff(22386,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22387,plain,
% 9.11/6.76 (((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2)) <=> ((~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22388,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279))))),
% 9.11/6.76 inference(monotonicity,[status(thm)],[22387])).
% 9.11/6.76 tff(22389,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 9.11/6.76 inference(transitivity,[status(thm)],[22388, 22386])).
% 9.11/6.76 tff(22390,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22391,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 9.11/6.76 tff(22392,plain,
% 9.11/6.76 (m_main_v_state2(s279, c_t2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22391, 518, 22289, 22385])).
% 9.11/6.76 tff(22393,plain,
% 9.11/6.76 (succ(s279, s280) <=> succ(s279, s280)),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22394,axiom,(succ(s279, s280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound280')).
% 9.11/6.76 tff(22395,plain,
% 9.11/6.76 (succ(s279, s280)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22394, 22393])).
% 9.11/6.76 tff(22396,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22397,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22398,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22397, 22396])).
% 9.11/6.76 tff(22399,plain,
% 9.11/6.76 (trans(s279, s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22398, 22395, 32])).
% 9.11/6.76 tff(22400,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s279, s280)) | node7(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s279, s280)) | node7(s279, s280))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22401,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s279, s280)) | node7(s279, s280))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22402,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s279, s280)) | node7(s279, s280)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22401, 22400])).
% 9.11/6.76 tff(22403,plain,
% 9.11/6.76 (node7(s279, s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22402, 206, 22399])).
% 9.11/6.76 tff(22404,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22405,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22406,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22405, 22404])).
% 9.11/6.76 tff(22407,plain,
% 9.11/6.76 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_state1(s280, c_t1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22406, 651, 22403])).
% 9.11/6.76 tff(22408,plain,
% 9.11/6.76 (m_main_v_state1(s280, c_t1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22407, 22392, 22336])).
% 9.11/6.76 tff(22409,plain,
% 9.11/6.76 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22410,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22411,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 9.11/6.76 tff(22412,plain,
% 9.11/6.76 (~m_main_v_state1(s280, c_n1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22411, 10, 22408])).
% 9.11/6.76 tff(22413,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s280, c_n1) | (~node1(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s280, c_n1) | (~node1(s280)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22414,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s280, c_n1) | (~node1(s280)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22415,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s280, c_n1) | (~node1(s280))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 9.11/6.76 tff(22416,plain,
% 9.11/6.76 (~node1(s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22415, 421, 22412])).
% 9.11/6.76 tff(22417,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s279, s280)) | node18(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s279, s280)) | node18(s279, s280))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22418,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s279, s280)) | node18(s279, s280))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22419,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s279, s280)) | node18(s279, s280)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 9.11/6.76 tff(22420,plain,
% 9.11/6.76 (node18(s279, s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22419, 125, 22399])).
% 9.11/6.76 tff(22421,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22422,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22423,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 9.11/6.76 tff(22424,plain,
% 9.11/6.76 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_turn(s280, c_2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22423, 760, 22420])).
% 9.11/6.76 tff(22425,plain,
% 9.11/6.76 (m_main_v_turn(s280, c_2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22424, 22392, 22336])).
% 9.11/6.76 tff(22426,plain,
% 9.11/6.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22427,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22428,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 9.11/6.76 tff(22429,plain,
% 9.11/6.76 (~m_main_v_turn(s280, c_1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22428, 156, 22425])).
% 9.11/6.76 tff(22430,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s280, c_1) | (~node5(s280)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s280, c_1) | (~node5(s280)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22431,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s280, c_1) | (~node5(s280)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22432,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s280, c_1) | (~node5(s280))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22431, 22430])).
% 9.11/6.76 tff(22433,plain,
% 9.11/6.76 (~node5(s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22432, 776, 22429])).
% 9.11/6.76 tff(22434,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s280, c_n1) | (~node2(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s280, c_n1) | (~node2(s280)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22435,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s280, c_n1) | (~node2(s280)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22436,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s280, c_n1) | (~node2(s280))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22435, 22434])).
% 9.11/6.76 tff(22437,plain,
% 9.11/6.76 (~node2(s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22436, 787, 22412])).
% 9.11/6.76 tff(22438,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s280, c_n1) | (~node3(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s280, c_n1) | (~node3(s280)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22439,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s280, c_n1) | (~node3(s280)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22440,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s280, c_n1) | (~node3(s280))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 9.11/6.76 tff(22441,plain,
% 9.11/6.76 (~node3(s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22440, 798, 22412])).
% 9.11/6.76 tff(22442,plain,
% 9.11/6.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22443,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22444,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 9.11/6.76 tff(22445,plain,
% 9.11/6.76 (~m_main_v_state1(s280, c_c1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22444, 539, 22408])).
% 9.11/6.76 tff(22446,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22447,plain,
% 9.11/6.76 (((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2))) <=> (m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22448,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279))))),
% 9.11/6.76 inference(monotonicity,[status(thm)],[22447])).
% 9.11/6.76 tff(22449,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 9.11/6.76 inference(transitivity,[status(thm)],[22448, 22446])).
% 9.11/6.76 tff(22450,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22451,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22450, 22449])).
% 9.11/6.76 tff(22452,plain,
% 9.11/6.76 (~m_main_v_state2(s279, c_n2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22451, 311, 22293, 22385])).
% 9.11/6.76 tff(22453,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s279, c_n2) | (~node9(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s279, c_n2) | (~node9(s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22454,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s279, c_n2) | (~node9(s279)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22455,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s279, c_n2) | (~node9(s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 9.11/6.76 tff(22456,plain,
% 9.11/6.76 (~node9(s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22455, 88, 22452])).
% 9.11/6.76 tff(22457,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s279, c_n2) | (~node10(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s279, c_n2) | (~node10(s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22458,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s279, c_n2) | (~node10(s279)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22459,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s279, c_n2) | (~node10(s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 9.11/6.76 tff(22460,plain,
% 9.11/6.76 (~node10(s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22459, 249, 22452])).
% 9.11/6.76 tff(22461,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s279, c_n2) | (~node8(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s279, c_n2) | (~node8(s279)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22462,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s279, c_n2) | (~node8(s279)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22463,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s279, c_n2) | (~node8(s279))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 9.11/6.76 tff(22464,plain,
% 9.11/6.76 (~node8(s279)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22463, 271, 22452])).
% 9.11/6.76 tff(22465,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s279, s280)) | node14(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s279, s280)) | node14(s279, s280))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22466,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s279, s280)) | node14(s279, s280))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22467,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s279, s280)) | node14(s279, s280)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22466, 22465])).
% 9.11/6.76 tff(22468,plain,
% 9.11/6.76 (node14(s279, s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22467, 46, 22399])).
% 9.11/6.76 tff(22469,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22470,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22471,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 9.11/6.76 tff(22472,plain,
% 9.11/6.76 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | m_main_v_state2(s280, c_c2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22471, 617, 22468])).
% 9.11/6.76 tff(22473,plain,
% 9.11/6.76 (m_main_v_state2(s280, c_c2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22472, 22464, 22336, 22392, 22460, 22456])).
% 9.11/6.76 tff(22474,plain,
% 9.11/6.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22475,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22476,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 9.11/6.76 tff(22477,plain,
% 9.11/6.76 (~m_main_v_state2(s280, c_n2)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22476, 697, 22473])).
% 9.11/6.76 tff(22478,plain,
% 9.11/6.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s280, c_n2) | (~node4(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s280, c_n2) | (~node4(s280)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22479,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s280, c_n2) | (~node4(s280)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22480,plain,
% 9.11/6.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s280, c_n2) | (~node4(s280))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 9.11/6.76 tff(22481,plain,
% 9.11/6.76 (~node4(s280)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22480, 388, 22477])).
% 9.11/6.76 tff(22482,plain,
% 9.11/6.76 (succ(s280, s281) <=> succ(s280, s281)),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22483,axiom,(succ(s280, s281)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound281')).
% 9.11/6.76 tff(22484,plain,
% 9.11/6.76 (succ(s280, s281)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 9.11/6.76 tff(22485,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22486,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22487,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 9.11/6.76 tff(22488,plain,
% 9.11/6.76 (trans(s280, s281)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22487, 22484, 32])).
% 9.11/6.76 tff(22489,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s280, s281)) | node7(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s280, s281)) | node7(s280, s281))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22490,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s280, s281)) | node7(s280, s281))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22491,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s280, s281)) | node7(s280, s281)),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 9.11/6.76 tff(22492,plain,
% 9.11/6.76 (node7(s280, s281)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22491, 206, 22488])).
% 9.11/6.76 tff(22493,plain,
% 9.11/6.76 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22494,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22495,plain,
% 9.11/6.76 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22494, 22493])).
% 9.11/6.76 tff(22496,plain,
% 9.11/6.76 (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22495, 820, 22492])).
% 9.11/6.76 tff(22497,plain,
% 9.11/6.76 (node6(s280, s281)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22496, 22481, 22445, 22441, 22437, 22433, 22416])).
% 9.11/6.76 tff(22498,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22499,plain,
% 9.11/6.76 (((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1)) <=> ((~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22500,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281))))),
% 9.11/6.76 inference(monotonicity,[status(thm)],[22499])).
% 9.11/6.76 tff(22501,plain,
% 9.11/6.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 9.11/6.76 inference(transitivity,[status(thm)],[22500, 22498])).
% 9.11/6.76 tff(22502,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22503,plain,
% 9.11/6.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 9.11/6.76 tff(22504,plain,
% 9.11/6.76 (m_main_v_state1(s281, c_t1)),
% 9.11/6.76 inference(unit_resolution,[status(thm)],[22503, 856, 22408, 22497])).
% 9.11/6.76 tff(22505,plain,
% 9.11/6.76 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.76 inference(rewrite,[status(thm)],[])).
% 9.11/6.76 tff(22506,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.76 inference(quant_inst,[status(thm)],[])).
% 9.11/6.76 tff(22507,plain,
% 9.11/6.76 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2))),
% 9.11/6.76 inference(modus_ponens,[status(thm)],[22506, 22505])).
% 9.11/6.76 tff(22508,plain,
% 9.11/6.76 (~m_main_v_state2(s280, c_t2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22507, 260, 22473])).
% 9.11/6.77 tff(22509,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s280, c_t2) | (~node12(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s280, c_t2) | (~node12(s280)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22510,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s280, c_t2) | (~node12(s280)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22511,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s280, c_t2) | (~node12(s280))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22510, 22509])).
% 9.11/6.77 tff(22512,plain,
% 9.11/6.77 (~node12(s280)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22511, 633, 22508])).
% 9.11/6.77 tff(22513,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s280, c_n1) | (~node11(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s280, c_n1) | (~node11(s280)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22514,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s280, c_n1) | (~node11(s280)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22515,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s280, c_n1) | (~node11(s280))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 9.11/6.77 tff(22516,plain,
% 9.11/6.77 (~node11(s280)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22515, 238, 22412])).
% 9.11/6.77 tff(22517,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s280, c_c1) | (~node10(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s280, c_c1) | (~node10(s280)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22518,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s280, c_c1) | (~node10(s280)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22519,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s280, c_c1) | (~node10(s280))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22518, 22517])).
% 9.11/6.77 tff(22520,plain,
% 9.11/6.77 (~node10(s280)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22519, 675, 22445])).
% 9.11/6.77 tff(22521,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s280, c_n1) | (~node9(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s280, c_n1) | (~node9(s280)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22522,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s280, c_n1) | (~node9(s280)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22523,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s280, c_n1) | (~node9(s280))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 9.11/6.77 tff(22524,plain,
% 9.11/6.77 (~node9(s280)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22523, 686, 22412])).
% 9.11/6.77 tff(22525,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s280, c_n2) | (~node8(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s280, c_n2) | (~node8(s280)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22526,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s280, c_n2) | (~node8(s280)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22527,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s280, c_n2) | (~node8(s280))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22526, 22525])).
% 9.11/6.77 tff(22528,plain,
% 9.11/6.77 (~node8(s280)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22527, 271, 22477])).
% 9.11/6.77 tff(22529,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s280, s281)) | node14(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s280, s281)) | node14(s280, s281))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22530,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s280, s281)) | node14(s280, s281))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22531,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s280, s281)) | node14(s280, s281)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22530, 22529])).
% 9.11/6.77 tff(22532,plain,
% 9.11/6.77 (node14(s280, s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22531, 46, 22488])).
% 9.11/6.77 tff(22533,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22534,plain,
% 9.11/6.77 (((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2)) <=> (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22535,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2))))),
% 9.11/6.77 inference(monotonicity,[status(thm)],[22534])).
% 9.11/6.77 tff(22536,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 9.11/6.77 inference(transitivity,[status(thm)],[22535, 22533])).
% 9.11/6.77 tff(22537,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22538,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22537, 22536])).
% 9.11/6.77 tff(22539,plain,
% 9.11/6.77 (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~m_main_v_state2(s280, c_c2))),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22538, 726, 22532])).
% 9.11/6.77 tff(22540,plain,
% 9.11/6.77 (m_main_v_state2(s281, c_n2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22539, 22528, 22473, 22524, 22520, 22516, 22512])).
% 9.11/6.77 tff(22541,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22542,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22543,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 9.11/6.77 tff(22544,plain,
% 9.11/6.77 (~m_main_v_state2(s281, c_t2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22543, 77, 22540])).
% 9.11/6.77 tff(22545,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s281, c_t2) | (~node15(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s281, c_t2) | (~node15(s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22546,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s281, c_t2) | (~node15(s281)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22547,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s281, c_t2) | (~node15(s281))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22546, 22545])).
% 9.11/6.77 tff(22548,plain,
% 9.11/6.77 (~node15(s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22547, 103, 22544])).
% 9.11/6.77 tff(22549,plain,
% 9.11/6.77 (succ(s281, s282) <=> succ(s281, s282)),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22550,axiom,(succ(s281, s282)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound282')).
% 9.11/6.77 tff(22551,plain,
% 9.11/6.77 (succ(s281, s282)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22550, 22549])).
% 9.11/6.77 tff(22552,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22553,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22554,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 9.11/6.77 tff(22555,plain,
% 9.11/6.77 (trans(s281, s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22554, 22551, 32])).
% 9.11/6.77 tff(22556,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s281, s282)) | node18(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s281, s282)) | node18(s281, s282))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22557,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s281, s282)) | node18(s281, s282))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22558,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s281, s282)) | node18(s281, s282)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22557, 22556])).
% 9.11/6.77 tff(22559,plain,
% 9.11/6.77 (node18(s281, s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22558, 125, 22555])).
% 9.11/6.77 tff(22560,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22561,plain,
% 9.11/6.77 (((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1)) <=> (node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22562,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)))),
% 9.11/6.77 inference(monotonicity,[status(thm)],[22561])).
% 9.11/6.77 tff(22563,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 9.11/6.77 inference(transitivity,[status(thm)],[22562, 22560])).
% 9.11/6.77 tff(22564,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22565,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22564, 22563])).
% 9.11/6.77 tff(22566,plain,
% 9.11/6.77 (node15(s281) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22565, 992, 22559])).
% 9.11/6.77 tff(22567,plain,
% 9.11/6.77 (m_main_v_turn(s282, c_1)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22566, 22548, 22540, 22504])).
% 9.11/6.77 tff(22568,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22569,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22570,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22569, 22568])).
% 9.11/6.77 tff(22571,plain,
% 9.11/6.77 (~m_main_v_turn(s282, c_2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22570, 156, 22567])).
% 9.11/6.77 tff(22572,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s282, c_2) | (~node12(s282)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s282, c_2) | (~node12(s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22573,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s282, c_2) | (~node12(s282)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22574,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s282, c_2) | (~node12(s282))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 9.11/6.77 tff(22575,plain,
% 9.11/6.77 (~node12(s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22574, 184, 22571])).
% 9.11/6.77 tff(22576,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s281, s282)) | node14(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s281, s282)) | node14(s281, s282))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22577,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s281, s282)) | node14(s281, s282))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22578,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s281, s282)) | node14(s281, s282)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22577, 22576])).
% 9.11/6.77 tff(22579,plain,
% 9.11/6.77 (node14(s281, s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22578, 46, 22555])).
% 9.11/6.77 tff(22580,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22581,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22582,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 9.11/6.77 tff(22583,plain,
% 9.11/6.77 ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state2(s282, c_t2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22582, 922, 22579])).
% 9.11/6.77 tff(22584,plain,
% 9.11/6.77 (m_main_v_state2(s282, c_t2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22583, 22504, 22540])).
% 9.11/6.77 tff(22585,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22586,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22587,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22586, 22585])).
% 9.11/6.77 tff(22588,plain,
% 9.11/6.77 (~m_main_v_state2(s282, c_n2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22587, 77, 22584])).
% 9.11/6.77 tff(22589,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s282, c_n2) | (~node8(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s282, c_n2) | (~node8(s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22590,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s282, c_n2) | (~node8(s282)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22591,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s282, c_n2) | (~node8(s282))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 9.11/6.77 tff(22592,plain,
% 9.11/6.77 (~node8(s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22591, 271, 22588])).
% 9.11/6.77 tff(22593,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s282, c_n2) | (~node9(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s282, c_n2) | (~node9(s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22594,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s282, c_n2) | (~node9(s282)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22595,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s282, c_n2) | (~node9(s282))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22594, 22593])).
% 9.11/6.77 tff(22596,plain,
% 9.11/6.77 (~node9(s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22595, 88, 22588])).
% 9.11/6.77 tff(22597,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s282, c_n2) | (~node10(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s282, c_n2) | (~node10(s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22598,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s282, c_n2) | (~node10(s282)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22599,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s282, c_n2) | (~node10(s282))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 9.11/6.77 tff(22600,plain,
% 9.11/6.77 (~node10(s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22599, 249, 22588])).
% 9.11/6.77 tff(22601,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22602,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22603,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22602, 22601])).
% 9.11/6.77 tff(22604,plain,
% 9.11/6.77 (~m_main_v_state2(s282, c_c2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22603, 260, 22584])).
% 9.11/6.77 tff(22605,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22606,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22607,plain,
% 9.11/6.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 9.11/6.77 tff(22608,plain,
% 9.11/6.77 (~m_main_v_state2(s281, c_c2)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22607, 697, 22540])).
% 9.11/6.77 tff(22609,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s281, c_c2) | (~node3(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s281, c_c2) | (~node3(s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22610,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s281, c_c2) | (~node3(s281)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22611,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s281, c_c2) | (~node3(s281))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 9.11/6.77 tff(22612,plain,
% 9.11/6.77 (~node3(s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22611, 399, 22608])).
% 9.11/6.77 tff(22613,plain,
% 9.11/6.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22614,plain,
% 9.11/6.77 (((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1))) <=> (m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22615,plain,
% 9.11/6.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281))))),
% 9.11/6.77 inference(monotonicity,[status(thm)],[22614])).
% 9.11/6.77 tff(22616,plain,
% 9.11/6.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 9.11/6.77 inference(transitivity,[status(thm)],[22615, 22613])).
% 9.11/6.77 tff(22617,plain,
% 9.11/6.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22618,plain,
% 9.11/6.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 9.11/6.77 tff(22619,plain,
% 9.11/6.77 (~m_main_v_state1(s281, c_n1)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22618, 835, 22412, 22497])).
% 9.11/6.77 tff(22620,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s281, c_n1) | (~node2(s281)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s281, c_n1) | (~node2(s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22621,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s281, c_n1) | (~node2(s281)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22622,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s281, c_n1) | (~node2(s281))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 9.11/6.77 tff(22623,plain,
% 9.11/6.77 (~node2(s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22622, 787, 22619])).
% 9.11/6.77 tff(22624,plain,
% 9.11/6.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s281, c_t2) | (~node1(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s281, c_t2) | (~node1(s281)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22625,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s281, c_t2) | (~node1(s281)))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22626,plain,
% 9.11/6.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s281, c_t2) | (~node1(s281))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22625, 22624])).
% 9.11/6.77 tff(22627,plain,
% 9.11/6.77 (~node1(s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22626, 195, 22544])).
% 9.11/6.77 tff(22628,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s281, s282)) | node7(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s281, s282)) | node7(s281, s282))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22629,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s281, s282)) | node7(s281, s282))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22630,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s281, s282)) | node7(s281, s282)),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22629, 22628])).
% 9.11/6.77 tff(22631,plain,
% 9.11/6.77 (node7(s281, s282)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22630, 206, 22555])).
% 9.11/6.77 tff(22632,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22633,plain,
% 9.11/6.77 (((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1)) <=> ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 9.11/6.77 inference(rewrite,[status(thm)],[])).
% 9.11/6.77 tff(22634,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282))))),
% 9.11/6.77 inference(monotonicity,[status(thm)],[22633])).
% 9.11/6.77 tff(22635,plain,
% 9.11/6.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 9.11/6.77 inference(transitivity,[status(thm)],[22634, 22632])).
% 9.11/6.77 tff(22636,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1))),
% 9.11/6.77 inference(quant_inst,[status(thm)],[])).
% 9.11/6.77 tff(22637,plain,
% 9.11/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282))),
% 9.11/6.77 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 9.11/6.77 tff(22638,plain,
% 9.11/6.77 ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22637, 892, 22631])).
% 9.11/6.77 tff(22639,plain,
% 9.11/6.77 (m_main_v_state1(s282, c_c1)),
% 9.11/6.77 inference(unit_resolution,[status(thm)],[22638, 22627, 22540, 22504, 22623, 22612])).
% 9.11/6.77 tff(22640,plain,
% 9.11/6.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22641,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22642,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22641, 22640])).
% 9.11/6.78 tff(22643,plain,
% 9.11/6.78 (~m_main_v_state1(s282, c_n1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22642, 454, 22639])).
% 9.11/6.78 tff(22644,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s282, c_n1) | (~node11(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s282, c_n1) | (~node11(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22645,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s282, c_n1) | (~node11(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22646,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s282, c_n1) | (~node11(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 9.11/6.78 tff(22647,plain,
% 9.11/6.78 (~node11(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22646, 238, 22643])).
% 9.11/6.78 tff(22648,plain,
% 9.11/6.78 (succ(s282, s283) <=> succ(s282, s283)),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22649,axiom,(succ(s282, s283)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound283')).
% 9.11/6.78 tff(22650,plain,
% 9.11/6.78 (succ(s282, s283)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22649, 22648])).
% 9.11/6.78 tff(22651,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22652,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22653,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 9.11/6.78 tff(22654,plain,
% 9.11/6.78 (trans(s282, s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22653, 22650, 32])).
% 9.11/6.78 tff(22655,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s282, s283)) | node14(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s282, s283)) | node14(s282, s283))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22656,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s282, s283)) | node14(s282, s283))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22657,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s282, s283)) | node14(s282, s283)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 9.11/6.78 tff(22658,plain,
% 9.11/6.78 (node14(s282, s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22657, 46, 22654])).
% 9.11/6.78 tff(22659,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22660,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22661,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 9.11/6.78 tff(22662,plain,
% 9.11/6.78 (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22661, 296, 22658])).
% 9.11/6.78 tff(22663,plain,
% 9.11/6.78 (node13(s282, s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22662, 22647, 22604, 22600, 22596, 22592, 22575])).
% 9.11/6.78 tff(22664,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22665,plain,
% 9.11/6.78 (((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2))) <=> (m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22666,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283))))),
% 9.11/6.78 inference(monotonicity,[status(thm)],[22665])).
% 9.11/6.78 tff(22667,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 9.11/6.78 inference(transitivity,[status(thm)],[22666, 22664])).
% 9.11/6.78 tff(22668,plain,
% 9.11/6.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22669,plain,
% 9.11/6.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22668, 22667])).
% 9.11/6.78 tff(22670,plain,
% 9.11/6.78 (~m_main_v_state2(s283, c_n2)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22669, 311, 22588, 22663])).
% 9.11/6.78 tff(22671,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s283, c_n2) | (~node9(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s283, c_n2) | (~node9(s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22672,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s283, c_n2) | (~node9(s283)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22673,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s283, c_n2) | (~node9(s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 9.11/6.78 tff(22674,plain,
% 9.11/6.78 (~node9(s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22673, 88, 22670])).
% 9.11/6.78 tff(22675,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s283, c_n2) | (~node10(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s283, c_n2) | (~node10(s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22676,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s283, c_n2) | (~node10(s283)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22677,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s283, c_n2) | (~node10(s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 9.11/6.78 tff(22678,plain,
% 9.11/6.78 (~node10(s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22677, 249, 22670])).
% 9.11/6.78 tff(22679,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22680,plain,
% 9.11/6.78 (((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2)) <=> ((~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22681,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283))))),
% 9.11/6.78 inference(monotonicity,[status(thm)],[22680])).
% 9.11/6.78 tff(22682,plain,
% 9.11/6.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 9.11/6.78 inference(transitivity,[status(thm)],[22681, 22679])).
% 9.11/6.78 tff(22683,plain,
% 9.11/6.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22684,plain,
% 9.11/6.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 9.11/6.78 tff(22685,plain,
% 9.11/6.78 (m_main_v_state2(s283, c_t2)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22684, 518, 22584, 22663])).
% 9.11/6.78 tff(22686,plain,
% 9.11/6.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22687,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22688,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 9.11/6.78 tff(22689,plain,
% 9.11/6.78 (~m_main_v_state1(s282, c_t1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22688, 539, 22639])).
% 9.11/6.78 tff(22690,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s282, c_t1) | (~node5(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s282, c_t1) | (~node5(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22691,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s282, c_t1) | (~node5(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22692,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s282, c_t1) | (~node5(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 9.11/6.78 tff(22693,plain,
% 9.11/6.78 (~node5(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22692, 550, 22689])).
% 9.11/6.78 tff(22694,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s282, c_n2) | (~node4(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s282, c_n2) | (~node4(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22695,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s282, c_n2) | (~node4(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22696,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s282, c_n2) | (~node4(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 9.11/6.78 tff(22697,plain,
% 9.11/6.78 (~node4(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22696, 388, 22588])).
% 9.11/6.78 tff(22698,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s282, c_c2) | (~node3(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s282, c_c2) | (~node3(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22699,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s282, c_c2) | (~node3(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22700,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s282, c_c2) | (~node3(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22699, 22698])).
% 9.11/6.78 tff(22701,plain,
% 9.11/6.78 (~node3(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22700, 399, 22604])).
% 9.11/6.78 tff(22702,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s282, c_n2) | (~node2(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s282, c_n2) | (~node2(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22703,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s282, c_n2) | (~node2(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22704,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s282, c_n2) | (~node2(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22703, 22702])).
% 9.11/6.78 tff(22705,plain,
% 9.11/6.78 (~node2(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22704, 410, 22588])).
% 9.11/6.78 tff(22706,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s282, c_n1) | (~node1(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s282, c_n1) | (~node1(s282)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22707,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s282, c_n1) | (~node1(s282)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22708,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s282, c_n1) | (~node1(s282))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 9.11/6.78 tff(22709,plain,
% 9.11/6.78 (~node1(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22708, 421, 22643])).
% 9.11/6.78 tff(22710,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s282, s283)) | node7(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s282, s283)) | node7(s282, s283))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22711,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s282, s283)) | node7(s282, s283))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22712,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s282, s283)) | node7(s282, s283)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 9.11/6.78 tff(22713,plain,
% 9.11/6.78 (node7(s282, s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22712, 206, 22654])).
% 9.11/6.78 tff(22714,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22715,plain,
% 9.11/6.78 (((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1)) <=> (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22716,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283))))),
% 9.11/6.78 inference(monotonicity,[status(thm)],[22715])).
% 9.11/6.78 tff(22717,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 9.11/6.78 inference(transitivity,[status(thm)],[22716, 22714])).
% 9.11/6.78 tff(22718,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22719,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 9.11/6.78 tff(22720,plain,
% 9.11/6.78 (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22719, 584, 22713])).
% 9.11/6.78 tff(22721,plain,
% 9.11/6.78 (m_main_v_state1(s283, c_n1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22720, 22709, 22639, 22705, 22701, 22697, 22693])).
% 9.11/6.78 tff(22722,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s283, c_n2) | (~node8(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s283, c_n2) | (~node8(s283)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22723,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s283, c_n2) | (~node8(s283)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22724,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s283, c_n2) | (~node8(s283))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22723, 22722])).
% 9.11/6.78 tff(22725,plain,
% 9.11/6.78 (~node8(s283)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22724, 271, 22670])).
% 9.11/6.78 tff(22726,plain,
% 9.11/6.78 (succ(s283, s284) <=> succ(s283, s284)),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22727,axiom,(succ(s283, s284)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound284')).
% 9.11/6.78 tff(22728,plain,
% 9.11/6.78 (succ(s283, s284)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 9.11/6.78 tff(22729,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22730,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22731,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 9.11/6.78 tff(22732,plain,
% 9.11/6.78 (trans(s283, s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22731, 22728, 32])).
% 9.11/6.78 tff(22733,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s283, s284)) | node14(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s283, s284)) | node14(s283, s284))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22734,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s283, s284)) | node14(s283, s284))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22735,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s283, s284)) | node14(s283, s284)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 9.11/6.78 tff(22736,plain,
% 9.11/6.78 (node14(s283, s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22735, 46, 22732])).
% 9.11/6.78 tff(22737,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22738,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22739,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 9.11/6.78 tff(22740,plain,
% 9.11/6.78 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | m_main_v_state2(s284, c_c2)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22739, 617, 22736])).
% 9.11/6.78 tff(22741,plain,
% 9.11/6.78 (m_main_v_state2(s284, c_c2)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22740, 22725, 22721, 22685, 22678, 22674])).
% 9.11/6.78 tff(22742,plain,
% 9.11/6.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22743,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22744,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 9.11/6.78 tff(22745,plain,
% 9.11/6.78 (~m_main_v_state2(s284, c_t2)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22744, 260, 22741])).
% 9.11/6.78 tff(22746,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s284, c_t2) | (~node12(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s284, c_t2) | (~node12(s284)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22747,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s284, c_t2) | (~node12(s284)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22748,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s284, c_t2) | (~node12(s284))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 9.11/6.78 tff(22749,plain,
% 9.11/6.78 (~node12(s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22748, 633, 22745])).
% 9.11/6.78 tff(22750,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s283, s284)) | node7(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s283, s284)) | node7(s283, s284))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22751,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s283, s284)) | node7(s283, s284))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22752,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s283, s284)) | node7(s283, s284)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 9.11/6.78 tff(22753,plain,
% 9.11/6.78 (node7(s283, s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22752, 206, 22732])).
% 9.11/6.78 tff(22754,plain,
% 9.11/6.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22755,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22756,plain,
% 9.11/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1)),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 9.11/6.78 tff(22757,plain,
% 9.11/6.78 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_state1(s284, c_t1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22756, 651, 22753])).
% 9.11/6.78 tff(22758,plain,
% 9.11/6.78 (m_main_v_state1(s284, c_t1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22757, 22685, 22721])).
% 9.11/6.78 tff(22759,plain,
% 9.11/6.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22760,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22761,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 9.11/6.78 tff(22762,plain,
% 9.11/6.78 (~m_main_v_state1(s284, c_n1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22761, 10, 22758])).
% 9.11/6.78 tff(22763,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s284, c_n1) | (~node11(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s284, c_n1) | (~node11(s284)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22764,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s284, c_n1) | (~node11(s284)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22765,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s284, c_n1) | (~node11(s284))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22764, 22763])).
% 9.11/6.78 tff(22766,plain,
% 9.11/6.78 (~node11(s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22765, 238, 22762])).
% 9.11/6.78 tff(22767,plain,
% 9.11/6.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22768,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22769,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22768, 22767])).
% 9.11/6.78 tff(22770,plain,
% 9.11/6.78 (~m_main_v_state1(s284, c_c1)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22769, 539, 22758])).
% 9.11/6.78 tff(22771,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s284, c_c1) | (~node10(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s284, c_c1) | (~node10(s284)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22772,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s284, c_c1) | (~node10(s284)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22773,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s284, c_c1) | (~node10(s284))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 9.11/6.78 tff(22774,plain,
% 9.11/6.78 (~node10(s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22773, 675, 22770])).
% 9.11/6.78 tff(22775,plain,
% 9.11/6.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s284, c_n1) | (~node9(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s284, c_n1) | (~node9(s284)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22776,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s284, c_n1) | (~node9(s284)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.78 tff(22777,plain,
% 9.11/6.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s284, c_n1) | (~node9(s284))),
% 9.11/6.78 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 9.11/6.78 tff(22778,plain,
% 9.11/6.78 (~node9(s284)),
% 9.11/6.78 inference(unit_resolution,[status(thm)],[22777, 686, 22762])).
% 9.11/6.78 tff(22779,plain,
% 9.11/6.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.78 inference(rewrite,[status(thm)],[])).
% 9.11/6.78 tff(22780,plain,
% 9.11/6.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.78 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22781,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 9.11/6.79 tff(22782,plain,
% 9.11/6.79 (~m_main_v_state2(s284, c_n2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22781, 697, 22741])).
% 9.11/6.79 tff(22783,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s284, c_n2) | (~node8(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s284, c_n2) | (~node8(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22784,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s284, c_n2) | (~node8(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22785,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s284, c_n2) | (~node8(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 9.11/6.79 tff(22786,plain,
% 9.11/6.79 (~node8(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22785, 271, 22782])).
% 9.11/6.79 tff(22787,plain,
% 9.11/6.79 (succ(s284, s285) <=> succ(s284, s285)),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22788,axiom,(succ(s284, s285)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound285')).
% 9.11/6.79 tff(22789,plain,
% 9.11/6.79 (succ(s284, s285)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 9.11/6.79 tff(22790,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22791,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22792,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 9.11/6.79 tff(22793,plain,
% 9.11/6.79 (trans(s284, s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22792, 22789, 32])).
% 9.11/6.79 tff(22794,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s284, s285)) | node14(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s284, s285)) | node14(s284, s285))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22795,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s284, s285)) | node14(s284, s285))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22796,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s284, s285)) | node14(s284, s285)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22795, 22794])).
% 9.11/6.79 tff(22797,plain,
% 9.11/6.79 (node14(s284, s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22796, 46, 22793])).
% 9.11/6.79 tff(22798,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22799,plain,
% 9.11/6.79 (((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2)) <=> (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22800,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2))))),
% 9.11/6.79 inference(monotonicity,[status(thm)],[22799])).
% 9.11/6.79 tff(22801,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 9.11/6.79 inference(transitivity,[status(thm)],[22800, 22798])).
% 9.11/6.79 tff(22802,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22803,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22802, 22801])).
% 9.11/6.79 tff(22804,plain,
% 9.11/6.79 (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~m_main_v_state2(s284, c_c2))),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22803, 726, 22797])).
% 9.11/6.79 tff(22805,plain,
% 9.11/6.79 (m_main_v_state2(s285, c_n2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22804, 22786, 22741, 22778, 22774, 22766, 22749])).
% 9.11/6.79 tff(22806,plain,
% 9.11/6.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22807,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22808,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22807, 22806])).
% 9.11/6.79 tff(22809,plain,
% 9.11/6.79 (~m_main_v_state2(s285, c_c2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22808, 697, 22805])).
% 9.11/6.79 tff(22810,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s285, c_c2) | (~node3(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s285, c_c2) | (~node3(s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22811,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s285, c_c2) | (~node3(s285)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22812,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s285, c_c2) | (~node3(s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 9.11/6.79 tff(22813,plain,
% 9.11/6.79 (~node3(s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22812, 399, 22809])).
% 9.11/6.79 tff(22814,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s284, c_n1) | (~node1(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s284, c_n1) | (~node1(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22815,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s284, c_n1) | (~node1(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22816,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s284, c_n1) | (~node1(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 9.11/6.79 tff(22817,plain,
% 9.11/6.79 (~node1(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22816, 421, 22762])).
% 9.11/6.79 tff(22818,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s283, s284)) | node18(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s283, s284)) | node18(s283, s284))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22819,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s283, s284)) | node18(s283, s284))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22820,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s283, s284)) | node18(s283, s284)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22819, 22818])).
% 9.11/6.79 tff(22821,plain,
% 9.11/6.79 (node18(s283, s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22820, 125, 22732])).
% 9.11/6.79 tff(22822,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22823,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22824,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22823, 22822])).
% 9.11/6.79 tff(22825,plain,
% 9.11/6.79 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_turn(s284, c_2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22824, 760, 22821])).
% 9.11/6.79 tff(22826,plain,
% 9.11/6.79 (m_main_v_turn(s284, c_2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22825, 22685, 22721])).
% 9.11/6.79 tff(22827,plain,
% 9.11/6.79 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22828,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22829,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22828, 22827])).
% 9.11/6.79 tff(22830,plain,
% 9.11/6.79 (~m_main_v_turn(s284, c_1)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22829, 156, 22826])).
% 9.11/6.79 tff(22831,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s284, c_1) | (~node5(s284)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s284, c_1) | (~node5(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22832,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s284, c_1) | (~node5(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22833,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s284, c_1) | (~node5(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 9.11/6.79 tff(22834,plain,
% 9.11/6.79 (~node5(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22833, 776, 22830])).
% 9.11/6.79 tff(22835,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s284, c_n1) | (~node2(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s284, c_n1) | (~node2(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22836,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s284, c_n1) | (~node2(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22837,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s284, c_n1) | (~node2(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 9.11/6.79 tff(22838,plain,
% 9.11/6.79 (~node2(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22837, 787, 22762])).
% 9.11/6.79 tff(22839,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s284, c_n1) | (~node3(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s284, c_n1) | (~node3(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22840,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s284, c_n1) | (~node3(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22841,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s284, c_n1) | (~node3(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22840, 22839])).
% 9.11/6.79 tff(22842,plain,
% 9.11/6.79 (~node3(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22841, 798, 22762])).
% 9.11/6.79 tff(22843,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s284, c_n2) | (~node4(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s284, c_n2) | (~node4(s284)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22844,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s284, c_n2) | (~node4(s284)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22845,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s284, c_n2) | (~node4(s284))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22844, 22843])).
% 9.11/6.79 tff(22846,plain,
% 9.11/6.79 (~node4(s284)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22845, 388, 22782])).
% 9.11/6.79 tff(22847,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s284, s285)) | node7(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s284, s285)) | node7(s284, s285))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22848,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s284, s285)) | node7(s284, s285))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22849,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s284, s285)) | node7(s284, s285)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22848, 22847])).
% 9.11/6.79 tff(22850,plain,
% 9.11/6.79 (node7(s284, s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22849, 206, 22793])).
% 9.11/6.79 tff(22851,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22852,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22853,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 9.11/6.79 tff(22854,plain,
% 9.11/6.79 (m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22853, 820, 22850])).
% 9.11/6.79 tff(22855,plain,
% 9.11/6.79 (node6(s284, s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22854, 22846, 22770, 22842, 22838, 22834, 22817])).
% 9.11/6.79 tff(22856,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22857,plain,
% 9.11/6.79 (((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1))) <=> (m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22858,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285))))),
% 9.11/6.79 inference(monotonicity,[status(thm)],[22857])).
% 9.11/6.79 tff(22859,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 9.11/6.79 inference(transitivity,[status(thm)],[22858, 22856])).
% 9.11/6.79 tff(22860,plain,
% 9.11/6.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22861,plain,
% 9.11/6.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 9.11/6.79 tff(22862,plain,
% 9.11/6.79 (~m_main_v_state1(s285, c_n1)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22861, 835, 22762, 22855])).
% 9.11/6.79 tff(22863,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s285, c_n1) | (~node2(s285)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s285, c_n1) | (~node2(s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22864,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s285, c_n1) | (~node2(s285)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22865,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s285, c_n1) | (~node2(s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22864, 22863])).
% 9.11/6.79 tff(22866,plain,
% 9.11/6.79 (~node2(s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22865, 787, 22862])).
% 9.11/6.79 tff(22867,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22868,plain,
% 9.11/6.79 (((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1)) <=> ((~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22869,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285))))),
% 9.11/6.79 inference(monotonicity,[status(thm)],[22868])).
% 9.11/6.79 tff(22870,plain,
% 9.11/6.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 9.11/6.79 inference(transitivity,[status(thm)],[22869, 22867])).
% 9.11/6.79 tff(22871,plain,
% 9.11/6.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22872,plain,
% 9.11/6.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 9.11/6.79 tff(22873,plain,
% 9.11/6.79 (m_main_v_state1(s285, c_t1)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22872, 856, 22758, 22855])).
% 9.11/6.79 tff(22874,plain,
% 9.11/6.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22875,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22876,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 9.11/6.79 tff(22877,plain,
% 9.11/6.79 (~m_main_v_state2(s285, c_t2)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22876, 77, 22805])).
% 9.11/6.79 tff(22878,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s285, c_t2) | (~node1(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s285, c_t2) | (~node1(s285)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22879,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s285, c_t2) | (~node1(s285)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22880,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s285, c_t2) | (~node1(s285))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 9.11/6.79 tff(22881,plain,
% 9.11/6.79 (~node1(s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22880, 195, 22877])).
% 9.11/6.79 tff(22882,plain,
% 9.11/6.79 (succ(s285, s286) <=> succ(s285, s286)),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22883,axiom,(succ(s285, s286)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound286')).
% 9.11/6.79 tff(22884,plain,
% 9.11/6.79 (succ(s285, s286)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 9.11/6.79 tff(22885,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22886,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22887,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 9.11/6.79 tff(22888,plain,
% 9.11/6.79 (trans(s285, s286)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22887, 22884, 32])).
% 9.11/6.79 tff(22889,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s285, s286)) | node7(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s285, s286)) | node7(s285, s286))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22890,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s285, s286)) | node7(s285, s286))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22891,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s285, s286)) | node7(s285, s286)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22890, 22889])).
% 9.11/6.79 tff(22892,plain,
% 9.11/6.79 (node7(s285, s286)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22891, 206, 22888])).
% 9.11/6.79 tff(22893,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22894,plain,
% 9.11/6.79 (((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1)) <=> ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22895,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286))))),
% 9.11/6.79 inference(monotonicity,[status(thm)],[22894])).
% 9.11/6.79 tff(22896,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 9.11/6.79 inference(transitivity,[status(thm)],[22895, 22893])).
% 9.11/6.79 tff(22897,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22898,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 9.11/6.79 tff(22899,plain,
% 9.11/6.79 ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22898, 892, 22892])).
% 9.11/6.79 tff(22900,plain,
% 9.11/6.79 (m_main_v_state1(s286, c_c1)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22899, 22881, 22805, 22873, 22866, 22813])).
% 9.11/6.79 tff(22901,plain,
% 9.11/6.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22902,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22903,plain,
% 9.11/6.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22902, 22901])).
% 9.11/6.79 tff(22904,plain,
% 9.11/6.79 (~m_main_v_state1(s286, c_t1)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22903, 539, 22900])).
% 9.11/6.79 tff(22905,plain,
% 9.11/6.79 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s286, c_t1) | (~node5(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s286, c_t1) | (~node5(s286)))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22906,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s286, c_t1) | (~node5(s286)))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22907,plain,
% 9.11/6.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s286, c_t1) | (~node5(s286))),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 9.11/6.79 tff(22908,plain,
% 9.11/6.79 (~node5(s286)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22907, 550, 22904])).
% 9.11/6.79 tff(22909,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s285, s286)) | node14(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s285, s286)) | node14(s285, s286))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22910,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s285, s286)) | node14(s285, s286))),
% 9.11/6.79 inference(quant_inst,[status(thm)],[])).
% 9.11/6.79 tff(22911,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s285, s286)) | node14(s285, s286)),
% 9.11/6.79 inference(modus_ponens,[status(thm)],[22910, 22909])).
% 9.11/6.79 tff(22912,plain,
% 9.11/6.79 (node14(s285, s286)),
% 9.11/6.79 inference(unit_resolution,[status(thm)],[22911, 46, 22888])).
% 9.11/6.79 tff(22913,plain,
% 9.11/6.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))),
% 9.11/6.79 inference(rewrite,[status(thm)],[])).
% 9.11/6.79 tff(22914,plain,
% 9.11/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22915,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 9.11/6.80 tff(22916,plain,
% 9.11/6.80 ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state2(s286, c_t2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22915, 922, 22912])).
% 9.11/6.80 tff(22917,plain,
% 9.11/6.80 (m_main_v_state2(s286, c_t2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22916, 22873, 22805])).
% 9.11/6.80 tff(22918,plain,
% 9.11/6.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22919,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22920,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 9.11/6.80 tff(22921,plain,
% 9.11/6.80 (~m_main_v_state2(s286, c_n2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22920, 77, 22917])).
% 9.11/6.80 tff(22922,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s286, c_n2) | (~node4(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s286, c_n2) | (~node4(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22923,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s286, c_n2) | (~node4(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22924,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s286, c_n2) | (~node4(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 9.11/6.80 tff(22925,plain,
% 9.11/6.80 (~node4(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22924, 388, 22921])).
% 9.11/6.80 tff(22926,plain,
% 9.11/6.80 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22927,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22928,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 9.11/6.80 tff(22929,plain,
% 9.11/6.80 (~m_main_v_state2(s286, c_c2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22928, 260, 22917])).
% 9.11/6.80 tff(22930,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s286, c_c2) | (~node3(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s286, c_c2) | (~node3(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22931,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s286, c_c2) | (~node3(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22932,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s286, c_c2) | (~node3(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 9.11/6.80 tff(22933,plain,
% 9.11/6.80 (~node3(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22932, 399, 22929])).
% 9.11/6.80 tff(22934,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s286, c_n2) | (~node2(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s286, c_n2) | (~node2(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22935,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s286, c_n2) | (~node2(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22936,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s286, c_n2) | (~node2(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22935, 22934])).
% 9.11/6.80 tff(22937,plain,
% 9.11/6.80 (~node2(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22936, 410, 22921])).
% 9.11/6.80 tff(22938,plain,
% 9.11/6.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22939,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22940,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22939, 22938])).
% 9.11/6.80 tff(22941,plain,
% 9.11/6.80 (~m_main_v_state1(s286, c_n1)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22940, 454, 22900])).
% 9.11/6.80 tff(22942,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s286, c_n1) | (~node1(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s286, c_n1) | (~node1(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22943,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s286, c_n1) | (~node1(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22944,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s286, c_n1) | (~node1(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 9.11/6.80 tff(22945,plain,
% 9.11/6.80 (~node1(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22944, 421, 22941])).
% 9.11/6.80 tff(22946,plain,
% 9.11/6.80 (succ(s286, s287) <=> succ(s286, s287)),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22947,axiom,(succ(s286, s287)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound287')).
% 9.11/6.80 tff(22948,plain,
% 9.11/6.80 (succ(s286, s287)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22947, 22946])).
% 9.11/6.80 tff(22949,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22950,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22951,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 9.11/6.80 tff(22952,plain,
% 9.11/6.80 (trans(s286, s287)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22951, 22948, 32])).
% 9.11/6.80 tff(22953,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s286, s287)) | node7(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s286, s287)) | node7(s286, s287))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22954,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s286, s287)) | node7(s286, s287))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22955,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s286, s287)) | node7(s286, s287)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22954, 22953])).
% 9.11/6.80 tff(22956,plain,
% 9.11/6.80 (node7(s286, s287)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22955, 206, 22952])).
% 9.11/6.80 tff(22957,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22958,plain,
% 9.11/6.80 (((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1)) <=> (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22959,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287))))),
% 9.11/6.80 inference(monotonicity,[status(thm)],[22958])).
% 9.11/6.80 tff(22960,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 9.11/6.80 inference(transitivity,[status(thm)],[22959, 22957])).
% 9.11/6.80 tff(22961,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22962,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22961, 22960])).
% 9.11/6.80 tff(22963,plain,
% 9.11/6.80 (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22962, 584, 22956])).
% 9.11/6.80 tff(22964,plain,
% 9.11/6.80 (m_main_v_state1(s287, c_n1)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22963, 22945, 22900, 22937, 22933, 22925, 22908])).
% 9.11/6.80 tff(22965,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s285, c_t2) | (~node15(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s285, c_t2) | (~node15(s285)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22966,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s285, c_t2) | (~node15(s285)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22967,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s285, c_t2) | (~node15(s285))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22966, 22965])).
% 9.11/6.80 tff(22968,plain,
% 9.11/6.80 (~node15(s285)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22967, 103, 22877])).
% 9.11/6.80 tff(22969,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s285, s286)) | node18(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s285, s286)) | node18(s285, s286))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22970,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s285, s286)) | node18(s285, s286))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22971,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s285, s286)) | node18(s285, s286)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22970, 22969])).
% 9.11/6.80 tff(22972,plain,
% 9.11/6.80 (node18(s285, s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22971, 125, 22888])).
% 9.11/6.80 tff(22973,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22974,plain,
% 9.11/6.80 (((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1)) <=> (node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22975,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)))),
% 9.11/6.80 inference(monotonicity,[status(thm)],[22974])).
% 9.11/6.80 tff(22976,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 9.11/6.80 inference(transitivity,[status(thm)],[22975, 22973])).
% 9.11/6.80 tff(22977,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22978,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22977, 22976])).
% 9.11/6.80 tff(22979,plain,
% 9.11/6.80 (node15(s285) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22978, 992, 22972])).
% 9.11/6.80 tff(22980,plain,
% 9.11/6.80 (m_main_v_turn(s286, c_1)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22979, 22968, 22805, 22873])).
% 9.11/6.80 tff(22981,plain,
% 9.11/6.80 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22982,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22983,plain,
% 9.11/6.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 9.11/6.80 tff(22984,plain,
% 9.11/6.80 (~m_main_v_turn(s286, c_2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22983, 156, 22980])).
% 9.11/6.80 tff(22985,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s286, c_2) | (~node12(s286)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s286, c_2) | (~node12(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22986,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s286, c_2) | (~node12(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22987,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s286, c_2) | (~node12(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 9.11/6.80 tff(22988,plain,
% 9.11/6.80 (~node12(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22987, 184, 22984])).
% 9.11/6.80 tff(22989,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s286, c_n2) | (~node8(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s286, c_n2) | (~node8(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22990,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s286, c_n2) | (~node8(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22991,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s286, c_n2) | (~node8(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22990, 22989])).
% 9.11/6.80 tff(22992,plain,
% 9.11/6.80 (~node8(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22991, 271, 22921])).
% 9.11/6.80 tff(22993,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s286, c_n2) | (~node9(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s286, c_n2) | (~node9(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22994,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s286, c_n2) | (~node9(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22995,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s286, c_n2) | (~node9(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 9.11/6.80 tff(22996,plain,
% 9.11/6.80 (~node9(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22995, 88, 22921])).
% 9.11/6.80 tff(22997,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s286, c_n2) | (~node10(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s286, c_n2) | (~node10(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(22998,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s286, c_n2) | (~node10(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(22999,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s286, c_n2) | (~node10(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 9.11/6.80 tff(23000,plain,
% 9.11/6.80 (~node10(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[22999, 249, 22921])).
% 9.11/6.80 tff(23001,plain,
% 9.11/6.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s286, c_n1) | (~node11(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s286, c_n1) | (~node11(s286)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23002,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s286, c_n1) | (~node11(s286)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23003,plain,
% 9.11/6.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s286, c_n1) | (~node11(s286))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23002, 23001])).
% 9.11/6.80 tff(23004,plain,
% 9.11/6.80 (~node11(s286)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23003, 238, 22941])).
% 9.11/6.80 tff(23005,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s286, s287)) | node14(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s286, s287)) | node14(s286, s287))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23006,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s286, s287)) | node14(s286, s287))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23007,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s286, s287)) | node14(s286, s287)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 9.11/6.80 tff(23008,plain,
% 9.11/6.80 (node14(s286, s287)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23007, 46, 22952])).
% 9.11/6.80 tff(23009,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23010,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23011,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23010, 23009])).
% 9.11/6.80 tff(23012,plain,
% 9.11/6.80 (m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23011, 296, 23008])).
% 9.11/6.80 tff(23013,plain,
% 9.11/6.80 (node13(s286, s287)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23012, 23004, 22929, 23000, 22996, 22992, 22988])).
% 9.11/6.80 tff(23014,plain,
% 9.11/6.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23015,plain,
% 9.11/6.80 (((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2)) <=> ((~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23016,plain,
% 9.11/6.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287))))),
% 9.11/6.80 inference(monotonicity,[status(thm)],[23015])).
% 9.11/6.80 tff(23017,plain,
% 9.11/6.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 9.11/6.80 inference(transitivity,[status(thm)],[23016, 23014])).
% 9.11/6.80 tff(23018,plain,
% 9.11/6.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23019,plain,
% 9.11/6.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287))),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 9.11/6.80 tff(23020,plain,
% 9.11/6.80 (m_main_v_state2(s287, c_t2)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23019, 518, 22917, 23013])).
% 9.11/6.80 tff(23021,plain,
% 9.11/6.80 (succ(s287, s288) <=> succ(s287, s288)),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23022,axiom,(succ(s287, s288)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound288')).
% 9.11/6.80 tff(23023,plain,
% 9.11/6.80 (succ(s287, s288)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23022, 23021])).
% 9.11/6.80 tff(23024,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23025,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23026,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 9.11/6.80 tff(23027,plain,
% 9.11/6.80 (trans(s287, s288)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23026, 23023, 32])).
% 9.11/6.80 tff(23028,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s287, s288)) | node7(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s287, s288)) | node7(s287, s288))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23029,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s287, s288)) | node7(s287, s288))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23030,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s287, s288)) | node7(s287, s288)),
% 9.11/6.80 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 9.11/6.80 tff(23031,plain,
% 9.11/6.80 (node7(s287, s288)),
% 9.11/6.80 inference(unit_resolution,[status(thm)],[23030, 206, 23027])).
% 9.11/6.80 tff(23032,plain,
% 9.11/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))),
% 9.11/6.80 inference(rewrite,[status(thm)],[])).
% 9.11/6.80 tff(23033,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))),
% 9.11/6.80 inference(quant_inst,[status(thm)],[])).
% 9.11/6.80 tff(23034,plain,
% 9.11/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 9.11/6.81 tff(23035,plain,
% 9.11/6.81 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_state1(s288, c_t1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23034, 651, 23031])).
% 9.11/6.81 tff(23036,plain,
% 9.11/6.81 (m_main_v_state1(s288, c_t1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23035, 23020, 22964])).
% 9.11/6.81 tff(23037,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23038,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23039,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 9.11/6.81 tff(23040,plain,
% 9.11/6.81 (~m_main_v_state1(s288, c_n1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23039, 10, 23036])).
% 9.11/6.81 tff(23041,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s288, c_n1) | (~node1(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s288, c_n1) | (~node1(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23042,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s288, c_n1) | (~node1(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23043,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s288, c_n1) | (~node1(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23042, 23041])).
% 9.11/6.81 tff(23044,plain,
% 9.11/6.81 (~node1(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23043, 421, 23040])).
% 9.11/6.81 tff(23045,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s287, s288)) | node18(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s287, s288)) | node18(s287, s288))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23046,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s287, s288)) | node18(s287, s288))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23047,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s287, s288)) | node18(s287, s288)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 9.11/6.81 tff(23048,plain,
% 9.11/6.81 (node18(s287, s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23047, 125, 23027])).
% 9.11/6.81 tff(23049,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23050,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23051,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 9.11/6.81 tff(23052,plain,
% 9.11/6.81 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_turn(s288, c_2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23051, 760, 23048])).
% 9.11/6.81 tff(23053,plain,
% 9.11/6.81 (m_main_v_turn(s288, c_2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23052, 23020, 22964])).
% 9.11/6.81 tff(23054,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23055,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23056,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 9.11/6.81 tff(23057,plain,
% 9.11/6.81 (~m_main_v_turn(s288, c_1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23056, 156, 23053])).
% 9.11/6.81 tff(23058,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s288, c_1) | (~node5(s288)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s288, c_1) | (~node5(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23059,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s288, c_1) | (~node5(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23060,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s288, c_1) | (~node5(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 9.11/6.81 tff(23061,plain,
% 9.11/6.81 (~node5(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23060, 776, 23057])).
% 9.11/6.81 tff(23062,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s288, c_n1) | (~node2(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s288, c_n1) | (~node2(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23063,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s288, c_n1) | (~node2(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23064,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s288, c_n1) | (~node2(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23063, 23062])).
% 9.11/6.81 tff(23065,plain,
% 9.11/6.81 (~node2(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23064, 787, 23040])).
% 9.11/6.81 tff(23066,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s288, c_n1) | (~node3(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s288, c_n1) | (~node3(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23067,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s288, c_n1) | (~node3(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23068,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s288, c_n1) | (~node3(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23067, 23066])).
% 9.11/6.81 tff(23069,plain,
% 9.11/6.81 (~node3(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23068, 798, 23040])).
% 9.11/6.81 tff(23070,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23071,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23072,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 9.11/6.81 tff(23073,plain,
% 9.11/6.81 (~m_main_v_state1(s288, c_c1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23072, 539, 23036])).
% 9.11/6.81 tff(23074,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23075,plain,
% 9.11/6.81 (((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2))) <=> (m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23076,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287))))),
% 9.11/6.81 inference(monotonicity,[status(thm)],[23075])).
% 9.11/6.81 tff(23077,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 9.11/6.81 inference(transitivity,[status(thm)],[23076, 23074])).
% 9.11/6.81 tff(23078,plain,
% 9.11/6.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23079,plain,
% 9.11/6.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23078, 23077])).
% 9.11/6.81 tff(23080,plain,
% 9.11/6.81 (~m_main_v_state2(s287, c_n2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23079, 311, 22921, 23013])).
% 9.11/6.81 tff(23081,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s287, c_n2) | (~node9(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s287, c_n2) | (~node9(s287)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23082,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s287, c_n2) | (~node9(s287)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23083,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s287, c_n2) | (~node9(s287))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23082, 23081])).
% 9.11/6.81 tff(23084,plain,
% 9.11/6.81 (~node9(s287)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23083, 88, 23080])).
% 9.11/6.81 tff(23085,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s287, c_n2) | (~node10(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s287, c_n2) | (~node10(s287)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23086,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s287, c_n2) | (~node10(s287)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23087,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s287, c_n2) | (~node10(s287))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23086, 23085])).
% 9.11/6.81 tff(23088,plain,
% 9.11/6.81 (~node10(s287)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23087, 249, 23080])).
% 9.11/6.81 tff(23089,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s287, c_n2) | (~node8(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s287, c_n2) | (~node8(s287)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23090,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s287, c_n2) | (~node8(s287)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23091,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s287, c_n2) | (~node8(s287))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 9.11/6.81 tff(23092,plain,
% 9.11/6.81 (~node8(s287)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23091, 271, 23080])).
% 9.11/6.81 tff(23093,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s287, s288)) | node14(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s287, s288)) | node14(s287, s288))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23094,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s287, s288)) | node14(s287, s288))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23095,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s287, s288)) | node14(s287, s288)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23094, 23093])).
% 9.11/6.81 tff(23096,plain,
% 9.11/6.81 (node14(s287, s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23095, 46, 23027])).
% 9.11/6.81 tff(23097,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23098,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23099,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23098, 23097])).
% 9.11/6.81 tff(23100,plain,
% 9.11/6.81 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | m_main_v_state2(s288, c_c2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23099, 617, 23096])).
% 9.11/6.81 tff(23101,plain,
% 9.11/6.81 (m_main_v_state2(s288, c_c2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23100, 23092, 22964, 23020, 23088, 23084])).
% 9.11/6.81 tff(23102,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23103,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23104,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23103, 23102])).
% 9.11/6.81 tff(23105,plain,
% 9.11/6.81 (~m_main_v_state2(s288, c_n2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23104, 697, 23101])).
% 9.11/6.81 tff(23106,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s288, c_n2) | (~node4(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s288, c_n2) | (~node4(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23107,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s288, c_n2) | (~node4(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23108,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s288, c_n2) | (~node4(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23107, 23106])).
% 9.11/6.81 tff(23109,plain,
% 9.11/6.81 (~node4(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23108, 388, 23105])).
% 9.11/6.81 tff(23110,plain,
% 9.11/6.81 (succ(s288, s289) <=> succ(s288, s289)),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23111,axiom,(succ(s288, s289)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound289')).
% 9.11/6.81 tff(23112,plain,
% 9.11/6.81 (succ(s288, s289)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23111, 23110])).
% 9.11/6.81 tff(23113,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23114,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23115,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23114, 23113])).
% 9.11/6.81 tff(23116,plain,
% 9.11/6.81 (trans(s288, s289)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23115, 23112, 32])).
% 9.11/6.81 tff(23117,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s288, s289)) | node7(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s288, s289)) | node7(s288, s289))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23118,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s288, s289)) | node7(s288, s289))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23119,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s288, s289)) | node7(s288, s289)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23118, 23117])).
% 9.11/6.81 tff(23120,plain,
% 9.11/6.81 (node7(s288, s289)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23119, 206, 23116])).
% 9.11/6.81 tff(23121,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23122,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23123,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23122, 23121])).
% 9.11/6.81 tff(23124,plain,
% 9.11/6.81 (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23123, 820, 23120])).
% 9.11/6.81 tff(23125,plain,
% 9.11/6.81 (node6(s288, s289)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23124, 23109, 23073, 23069, 23065, 23061, 23044])).
% 9.11/6.81 tff(23126,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23127,plain,
% 9.11/6.81 (((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1)) <=> ((~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23128,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289))))),
% 9.11/6.81 inference(monotonicity,[status(thm)],[23127])).
% 9.11/6.81 tff(23129,plain,
% 9.11/6.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 9.11/6.81 inference(transitivity,[status(thm)],[23128, 23126])).
% 9.11/6.81 tff(23130,plain,
% 9.11/6.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23131,plain,
% 9.11/6.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23130, 23129])).
% 9.11/6.81 tff(23132,plain,
% 9.11/6.81 (m_main_v_state1(s289, c_t1)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23131, 856, 23036, 23125])).
% 9.11/6.81 tff(23133,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23134,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23135,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 9.11/6.81 tff(23136,plain,
% 9.11/6.81 (~m_main_v_state2(s288, c_t2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23135, 260, 23101])).
% 9.11/6.81 tff(23137,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s288, c_t2) | (~node12(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s288, c_t2) | (~node12(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23138,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s288, c_t2) | (~node12(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23139,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s288, c_t2) | (~node12(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 9.11/6.81 tff(23140,plain,
% 9.11/6.81 (~node12(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23139, 633, 23136])).
% 9.11/6.81 tff(23141,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s288, c_n1) | (~node11(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s288, c_n1) | (~node11(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23142,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s288, c_n1) | (~node11(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23143,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s288, c_n1) | (~node11(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23142, 23141])).
% 9.11/6.81 tff(23144,plain,
% 9.11/6.81 (~node11(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23143, 238, 23040])).
% 9.11/6.81 tff(23145,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s288, c_c1) | (~node10(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s288, c_c1) | (~node10(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23146,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s288, c_c1) | (~node10(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23147,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s288, c_c1) | (~node10(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 9.11/6.81 tff(23148,plain,
% 9.11/6.81 (~node10(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23147, 675, 23073])).
% 9.11/6.81 tff(23149,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s288, c_n1) | (~node9(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s288, c_n1) | (~node9(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23150,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s288, c_n1) | (~node9(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23151,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s288, c_n1) | (~node9(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 9.11/6.81 tff(23152,plain,
% 9.11/6.81 (~node9(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23151, 686, 23040])).
% 9.11/6.81 tff(23153,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s288, c_n2) | (~node8(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s288, c_n2) | (~node8(s288)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23154,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s288, c_n2) | (~node8(s288)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23155,plain,
% 9.11/6.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s288, c_n2) | (~node8(s288))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23154, 23153])).
% 9.11/6.81 tff(23156,plain,
% 9.11/6.81 (~node8(s288)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23155, 271, 23105])).
% 9.11/6.81 tff(23157,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s288, s289)) | node14(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s288, s289)) | node14(s288, s289))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23158,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s288, s289)) | node14(s288, s289))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23159,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s288, s289)) | node14(s288, s289)),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23158, 23157])).
% 9.11/6.81 tff(23160,plain,
% 9.11/6.81 (node14(s288, s289)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23159, 46, 23116])).
% 9.11/6.81 tff(23161,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23162,plain,
% 9.11/6.81 (((~m_main_v_state2(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2)) <=> (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23163,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2))))),
% 9.11/6.81 inference(monotonicity,[status(thm)],[23162])).
% 9.11/6.81 tff(23164,plain,
% 9.11/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 9.11/6.81 inference(transitivity,[status(thm)],[23163, 23161])).
% 9.11/6.81 tff(23165,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23166,plain,
% 9.11/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23165, 23164])).
% 9.11/6.81 tff(23167,plain,
% 9.11/6.81 (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~m_main_v_state2(s288, c_c2))),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23166, 726, 23160])).
% 9.11/6.81 tff(23168,plain,
% 9.11/6.81 (m_main_v_state2(s289, c_n2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23167, 23156, 23101, 23152, 23148, 23144, 23140])).
% 9.11/6.81 tff(23169,plain,
% 9.11/6.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))),
% 9.11/6.81 inference(rewrite,[status(thm)],[])).
% 9.11/6.81 tff(23170,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))),
% 9.11/6.81 inference(quant_inst,[status(thm)],[])).
% 9.11/6.81 tff(23171,plain,
% 9.11/6.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2))),
% 9.11/6.81 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 9.11/6.81 tff(23172,plain,
% 9.11/6.81 (~m_main_v_state2(s289, c_t2)),
% 9.11/6.81 inference(unit_resolution,[status(thm)],[23171, 77, 23168])).
% 9.11/6.81 tff(23173,plain,
% 9.11/6.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s289, c_t2) | (~node15(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s289, c_t2) | (~node15(s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23174,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s289, c_t2) | (~node15(s289)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23175,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s289, c_t2) | (~node15(s289))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 9.11/6.82 tff(23176,plain,
% 9.11/6.82 (~node15(s289)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23175, 103, 23172])).
% 9.11/6.82 tff(23177,plain,
% 9.11/6.82 (succ(s289, s290) <=> succ(s289, s290)),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23178,axiom,(succ(s289, s290)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound290')).
% 9.11/6.82 tff(23179,plain,
% 9.11/6.82 (succ(s289, s290)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 9.11/6.82 tff(23180,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23181,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23182,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 9.11/6.82 tff(23183,plain,
% 9.11/6.82 (trans(s289, s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23182, 23179, 32])).
% 9.11/6.82 tff(23184,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s289, s290)) | node18(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s289, s290)) | node18(s289, s290))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23185,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s289, s290)) | node18(s289, s290))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23186,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s289, s290)) | node18(s289, s290)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 9.11/6.82 tff(23187,plain,
% 9.11/6.82 (node18(s289, s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23186, 125, 23183])).
% 9.11/6.82 tff(23188,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23189,plain,
% 9.11/6.82 (((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1)) <=> (node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23190,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)))),
% 9.11/6.82 inference(monotonicity,[status(thm)],[23189])).
% 9.11/6.82 tff(23191,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 9.11/6.82 inference(transitivity,[status(thm)],[23190, 23188])).
% 9.11/6.82 tff(23192,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23193,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23192, 23191])).
% 9.11/6.82 tff(23194,plain,
% 9.11/6.82 (node15(s289) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23193, 992, 23187])).
% 9.11/6.82 tff(23195,plain,
% 9.11/6.82 (m_main_v_turn(s290, c_1)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23194, 23176, 23168, 23132])).
% 9.11/6.82 tff(23196,plain,
% 9.11/6.82 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23197,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23198,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23197, 23196])).
% 9.11/6.82 tff(23199,plain,
% 9.11/6.82 (~m_main_v_turn(s290, c_2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23198, 156, 23195])).
% 9.11/6.82 tff(23200,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s290, c_2) | (~node12(s290)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s290, c_2) | (~node12(s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23201,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s290, c_2) | (~node12(s290)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23202,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s290, c_2) | (~node12(s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23201, 23200])).
% 9.11/6.82 tff(23203,plain,
% 9.11/6.82 (~node12(s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23202, 184, 23199])).
% 9.11/6.82 tff(23204,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s289, s290)) | node14(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s289, s290)) | node14(s289, s290))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23205,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s289, s290)) | node14(s289, s290))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23206,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s289, s290)) | node14(s289, s290)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 9.11/6.82 tff(23207,plain,
% 9.11/6.82 (node14(s289, s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23206, 46, 23183])).
% 9.11/6.82 tff(23208,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23209,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23210,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 9.11/6.82 tff(23211,plain,
% 9.11/6.82 ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state2(s290, c_t2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23210, 922, 23207])).
% 9.11/6.82 tff(23212,plain,
% 9.11/6.82 (m_main_v_state2(s290, c_t2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23211, 23132, 23168])).
% 9.11/6.82 tff(23213,plain,
% 9.11/6.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23214,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23215,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 9.11/6.82 tff(23216,plain,
% 9.11/6.82 (~m_main_v_state2(s290, c_n2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23215, 77, 23212])).
% 9.11/6.82 tff(23217,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s290, c_n2) | (~node8(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s290, c_n2) | (~node8(s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23218,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s290, c_n2) | (~node8(s290)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23219,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s290, c_n2) | (~node8(s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23218, 23217])).
% 9.11/6.82 tff(23220,plain,
% 9.11/6.82 (~node8(s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23219, 271, 23216])).
% 9.11/6.82 tff(23221,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s290, c_n2) | (~node9(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s290, c_n2) | (~node9(s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23222,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s290, c_n2) | (~node9(s290)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23223,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s290, c_n2) | (~node9(s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23222, 23221])).
% 9.11/6.82 tff(23224,plain,
% 9.11/6.82 (~node9(s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23223, 88, 23216])).
% 9.11/6.82 tff(23225,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s290, c_n2) | (~node10(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s290, c_n2) | (~node10(s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23226,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s290, c_n2) | (~node10(s290)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23227,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s290, c_n2) | (~node10(s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 9.11/6.82 tff(23228,plain,
% 9.11/6.82 (~node10(s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23227, 249, 23216])).
% 9.11/6.82 tff(23229,plain,
% 9.11/6.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23230,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23231,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 9.11/6.82 tff(23232,plain,
% 9.11/6.82 (~m_main_v_state2(s290, c_c2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23231, 260, 23212])).
% 9.11/6.82 tff(23233,plain,
% 9.11/6.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23234,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23235,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 9.11/6.82 tff(23236,plain,
% 9.11/6.82 (~m_main_v_state2(s289, c_c2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23235, 697, 23168])).
% 9.11/6.82 tff(23237,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s289, c_c2) | (~node3(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s289, c_c2) | (~node3(s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23238,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s289, c_c2) | (~node3(s289)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23239,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s289, c_c2) | (~node3(s289))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 9.11/6.82 tff(23240,plain,
% 9.11/6.82 (~node3(s289)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23239, 399, 23236])).
% 9.11/6.82 tff(23241,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23242,plain,
% 9.11/6.82 (((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1))) <=> (m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23243,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289))))),
% 9.11/6.82 inference(monotonicity,[status(thm)],[23242])).
% 9.11/6.82 tff(23244,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 9.11/6.82 inference(transitivity,[status(thm)],[23243, 23241])).
% 9.11/6.82 tff(23245,plain,
% 9.11/6.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23246,plain,
% 9.11/6.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23245, 23244])).
% 9.11/6.82 tff(23247,plain,
% 9.11/6.82 (~m_main_v_state1(s289, c_n1)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23246, 835, 23040, 23125])).
% 9.11/6.82 tff(23248,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s289, c_n1) | (~node2(s289)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s289, c_n1) | (~node2(s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23249,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s289, c_n1) | (~node2(s289)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23250,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s289, c_n1) | (~node2(s289))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23249, 23248])).
% 9.11/6.82 tff(23251,plain,
% 9.11/6.82 (~node2(s289)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23250, 787, 23247])).
% 9.11/6.82 tff(23252,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s289, c_t2) | (~node1(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s289, c_t2) | (~node1(s289)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23253,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s289, c_t2) | (~node1(s289)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23254,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s289, c_t2) | (~node1(s289))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23253, 23252])).
% 9.11/6.82 tff(23255,plain,
% 9.11/6.82 (~node1(s289)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23254, 195, 23172])).
% 9.11/6.82 tff(23256,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s289, s290)) | node7(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s289, s290)) | node7(s289, s290))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23257,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s289, s290)) | node7(s289, s290))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23258,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s289, s290)) | node7(s289, s290)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23257, 23256])).
% 9.11/6.82 tff(23259,plain,
% 9.11/6.82 (node7(s289, s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23258, 206, 23183])).
% 9.11/6.82 tff(23260,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23261,plain,
% 9.11/6.82 (((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1)) <=> ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23262,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290))))),
% 9.11/6.82 inference(monotonicity,[status(thm)],[23261])).
% 9.11/6.82 tff(23263,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 9.11/6.82 inference(transitivity,[status(thm)],[23262, 23260])).
% 9.11/6.82 tff(23264,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23265,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 9.11/6.82 tff(23266,plain,
% 9.11/6.82 ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23265, 892, 23259])).
% 9.11/6.82 tff(23267,plain,
% 9.11/6.82 (m_main_v_state1(s290, c_c1)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23266, 23255, 23168, 23132, 23251, 23240])).
% 9.11/6.82 tff(23268,plain,
% 9.11/6.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23269,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23270,plain,
% 9.11/6.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 9.11/6.82 tff(23271,plain,
% 9.11/6.82 (~m_main_v_state1(s290, c_n1)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23270, 454, 23267])).
% 9.11/6.82 tff(23272,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s290, c_n1) | (~node11(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s290, c_n1) | (~node11(s290)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23273,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s290, c_n1) | (~node11(s290)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23274,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s290, c_n1) | (~node11(s290))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 9.11/6.82 tff(23275,plain,
% 9.11/6.82 (~node11(s290)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23274, 238, 23271])).
% 9.11/6.82 tff(23276,plain,
% 9.11/6.82 (succ(s290, s291) <=> succ(s290, s291)),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23277,axiom,(succ(s290, s291)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound291')).
% 9.11/6.82 tff(23278,plain,
% 9.11/6.82 (succ(s290, s291)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 9.11/6.82 tff(23279,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23280,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23281,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 9.11/6.82 tff(23282,plain,
% 9.11/6.82 (trans(s290, s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23281, 23278, 32])).
% 9.11/6.82 tff(23283,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s290, s291)) | node14(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s290, s291)) | node14(s290, s291))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23284,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s290, s291)) | node14(s290, s291))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23285,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s290, s291)) | node14(s290, s291)),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 9.11/6.82 tff(23286,plain,
% 9.11/6.82 (node14(s290, s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23285, 46, 23282])).
% 9.11/6.82 tff(23287,plain,
% 9.11/6.82 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23288,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23289,plain,
% 9.11/6.82 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 9.11/6.82 tff(23290,plain,
% 9.11/6.82 (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23289, 296, 23286])).
% 9.11/6.82 tff(23291,plain,
% 9.11/6.82 (node13(s290, s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23290, 23275, 23232, 23228, 23224, 23220, 23203])).
% 9.11/6.82 tff(23292,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23293,plain,
% 9.11/6.82 (((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2))) <=> (m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23294,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291))))),
% 9.11/6.82 inference(monotonicity,[status(thm)],[23293])).
% 9.11/6.82 tff(23295,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 9.11/6.82 inference(transitivity,[status(thm)],[23294, 23292])).
% 9.11/6.82 tff(23296,plain,
% 9.11/6.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23297,plain,
% 9.11/6.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 9.11/6.82 tff(23298,plain,
% 9.11/6.82 (~m_main_v_state2(s291, c_n2)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23297, 311, 23216, 23291])).
% 9.11/6.82 tff(23299,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s291, c_n2) | (~node9(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s291, c_n2) | (~node9(s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23300,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s291, c_n2) | (~node9(s291)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23301,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s291, c_n2) | (~node9(s291))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 9.11/6.82 tff(23302,plain,
% 9.11/6.82 (~node9(s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23301, 88, 23298])).
% 9.11/6.82 tff(23303,plain,
% 9.11/6.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s291, c_n2) | (~node10(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s291, c_n2) | (~node10(s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23304,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s291, c_n2) | (~node10(s291)))),
% 9.11/6.82 inference(quant_inst,[status(thm)],[])).
% 9.11/6.82 tff(23305,plain,
% 9.11/6.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s291, c_n2) | (~node10(s291))),
% 9.11/6.82 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 9.11/6.82 tff(23306,plain,
% 9.11/6.82 (~node10(s291)),
% 9.11/6.82 inference(unit_resolution,[status(thm)],[23305, 249, 23298])).
% 9.11/6.82 tff(23307,plain,
% 9.11/6.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 9.11/6.82 inference(rewrite,[status(thm)],[])).
% 9.11/6.82 tff(23308,plain,
% 9.11/6.82 (((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2)) <=> ((~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23309,plain,
% 9.11/6.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291))))),
% 9.11/6.83 inference(monotonicity,[status(thm)],[23308])).
% 9.11/6.83 tff(23310,plain,
% 9.11/6.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 9.11/6.83 inference(transitivity,[status(thm)],[23309, 23307])).
% 9.11/6.83 tff(23311,plain,
% 9.11/6.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23312,plain,
% 9.11/6.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23311, 23310])).
% 9.11/6.83 tff(23313,plain,
% 9.11/6.83 (m_main_v_state2(s291, c_t2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23312, 518, 23212, 23291])).
% 9.11/6.83 tff(23314,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23315,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23316,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 9.11/6.83 tff(23317,plain,
% 9.11/6.83 (~m_main_v_state1(s290, c_t1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23316, 539, 23267])).
% 9.11/6.83 tff(23318,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s290, c_t1) | (~node5(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s290, c_t1) | (~node5(s290)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23319,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s290, c_t1) | (~node5(s290)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23320,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s290, c_t1) | (~node5(s290))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23319, 23318])).
% 9.11/6.83 tff(23321,plain,
% 9.11/6.83 (~node5(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23320, 550, 23317])).
% 9.11/6.83 tff(23322,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s290, c_n2) | (~node4(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s290, c_n2) | (~node4(s290)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23323,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s290, c_n2) | (~node4(s290)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23324,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s290, c_n2) | (~node4(s290))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23323, 23322])).
% 9.11/6.83 tff(23325,plain,
% 9.11/6.83 (~node4(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23324, 388, 23216])).
% 9.11/6.83 tff(23326,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s290, c_c2) | (~node3(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s290, c_c2) | (~node3(s290)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23327,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s290, c_c2) | (~node3(s290)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23328,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s290, c_c2) | (~node3(s290))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23327, 23326])).
% 9.11/6.83 tff(23329,plain,
% 9.11/6.83 (~node3(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23328, 399, 23232])).
% 9.11/6.83 tff(23330,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s290, c_n2) | (~node2(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s290, c_n2) | (~node2(s290)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23331,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s290, c_n2) | (~node2(s290)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23332,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s290, c_n2) | (~node2(s290))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 9.11/6.83 tff(23333,plain,
% 9.11/6.83 (~node2(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23332, 410, 23216])).
% 9.11/6.83 tff(23334,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s290, c_n1) | (~node1(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s290, c_n1) | (~node1(s290)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23335,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s290, c_n1) | (~node1(s290)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23336,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s290, c_n1) | (~node1(s290))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23335, 23334])).
% 9.11/6.83 tff(23337,plain,
% 9.11/6.83 (~node1(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23336, 421, 23271])).
% 9.11/6.83 tff(23338,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s290, s291)) | node7(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s290, s291)) | node7(s290, s291))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23339,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s290, s291)) | node7(s290, s291))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23340,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s290, s291)) | node7(s290, s291)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 9.11/6.83 tff(23341,plain,
% 9.11/6.83 (node7(s290, s291)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23340, 206, 23282])).
% 9.11/6.83 tff(23342,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23343,plain,
% 9.11/6.83 (((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1)) <=> (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23344,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291))))),
% 9.11/6.83 inference(monotonicity,[status(thm)],[23343])).
% 9.11/6.83 tff(23345,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 9.11/6.83 inference(transitivity,[status(thm)],[23344, 23342])).
% 9.11/6.83 tff(23346,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23347,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 9.11/6.83 tff(23348,plain,
% 9.11/6.83 (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23347, 584, 23341])).
% 9.11/6.83 tff(23349,plain,
% 9.11/6.83 (m_main_v_state1(s291, c_n1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23348, 23337, 23267, 23333, 23329, 23325, 23321])).
% 9.11/6.83 tff(23350,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s291, c_n2) | (~node8(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s291, c_n2) | (~node8(s291)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23351,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s291, c_n2) | (~node8(s291)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23352,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s291, c_n2) | (~node8(s291))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23351, 23350])).
% 9.11/6.83 tff(23353,plain,
% 9.11/6.83 (~node8(s291)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23352, 271, 23298])).
% 9.11/6.83 tff(23354,plain,
% 9.11/6.83 (succ(s291, s292) <=> succ(s291, s292)),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23355,axiom,(succ(s291, s292)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound292')).
% 9.11/6.83 tff(23356,plain,
% 9.11/6.83 (succ(s291, s292)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 9.11/6.83 tff(23357,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23358,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23359,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23358, 23357])).
% 9.11/6.83 tff(23360,plain,
% 9.11/6.83 (trans(s291, s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23359, 23356, 32])).
% 9.11/6.83 tff(23361,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s291, s292)) | node14(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s291, s292)) | node14(s291, s292))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23362,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s291, s292)) | node14(s291, s292))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23363,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s291, s292)) | node14(s291, s292)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23362, 23361])).
% 9.11/6.83 tff(23364,plain,
% 9.11/6.83 (node14(s291, s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23363, 46, 23360])).
% 9.11/6.83 tff(23365,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23366,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23367,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 9.11/6.83 tff(23368,plain,
% 9.11/6.83 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | m_main_v_state2(s292, c_c2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23367, 617, 23364])).
% 9.11/6.83 tff(23369,plain,
% 9.11/6.83 (m_main_v_state2(s292, c_c2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23368, 23353, 23349, 23313, 23306, 23302])).
% 9.11/6.83 tff(23370,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23371,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23372,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 9.11/6.83 tff(23373,plain,
% 9.11/6.83 (~m_main_v_state2(s292, c_t2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23372, 260, 23369])).
% 9.11/6.83 tff(23374,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s292, c_t2) | (~node12(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s292, c_t2) | (~node12(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23375,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s292, c_t2) | (~node12(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23376,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s292, c_t2) | (~node12(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 9.11/6.83 tff(23377,plain,
% 9.11/6.83 (~node12(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23376, 633, 23373])).
% 9.11/6.83 tff(23378,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s291, s292)) | node7(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s291, s292)) | node7(s291, s292))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23379,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s291, s292)) | node7(s291, s292))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23380,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s291, s292)) | node7(s291, s292)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 9.11/6.83 tff(23381,plain,
% 9.11/6.83 (node7(s291, s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23380, 206, 23360])).
% 9.11/6.83 tff(23382,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23383,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23384,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 9.11/6.83 tff(23385,plain,
% 9.11/6.83 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_state1(s292, c_t1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23384, 651, 23381])).
% 9.11/6.83 tff(23386,plain,
% 9.11/6.83 (m_main_v_state1(s292, c_t1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23385, 23313, 23349])).
% 9.11/6.83 tff(23387,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23388,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23389,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 9.11/6.83 tff(23390,plain,
% 9.11/6.83 (~m_main_v_state1(s292, c_n1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23389, 10, 23386])).
% 9.11/6.83 tff(23391,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s292, c_n1) | (~node11(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s292, c_n1) | (~node11(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23392,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s292, c_n1) | (~node11(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23393,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s292, c_n1) | (~node11(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 9.11/6.83 tff(23394,plain,
% 9.11/6.83 (~node11(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23393, 238, 23390])).
% 9.11/6.83 tff(23395,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23396,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23397,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23396, 23395])).
% 9.11/6.83 tff(23398,plain,
% 9.11/6.83 (~m_main_v_state1(s292, c_c1)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23397, 539, 23386])).
% 9.11/6.83 tff(23399,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s292, c_c1) | (~node10(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s292, c_c1) | (~node10(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23400,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s292, c_c1) | (~node10(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23401,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s292, c_c1) | (~node10(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 9.11/6.83 tff(23402,plain,
% 9.11/6.83 (~node10(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23401, 675, 23398])).
% 9.11/6.83 tff(23403,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s292, c_n1) | (~node9(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s292, c_n1) | (~node9(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23404,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s292, c_n1) | (~node9(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23405,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s292, c_n1) | (~node9(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 9.11/6.83 tff(23406,plain,
% 9.11/6.83 (~node9(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23405, 686, 23390])).
% 9.11/6.83 tff(23407,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23408,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23409,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 9.11/6.83 tff(23410,plain,
% 9.11/6.83 (~m_main_v_state2(s292, c_n2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23409, 697, 23369])).
% 9.11/6.83 tff(23411,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s292, c_n2) | (~node8(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s292, c_n2) | (~node8(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23412,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s292, c_n2) | (~node8(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23413,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s292, c_n2) | (~node8(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 9.11/6.83 tff(23414,plain,
% 9.11/6.83 (~node8(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23413, 271, 23410])).
% 9.11/6.83 tff(23415,plain,
% 9.11/6.83 (succ(s292, s293) <=> succ(s292, s293)),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23416,axiom,(succ(s292, s293)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound293')).
% 9.11/6.83 tff(23417,plain,
% 9.11/6.83 (succ(s292, s293)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 9.11/6.83 tff(23418,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23419,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23420,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23419, 23418])).
% 9.11/6.83 tff(23421,plain,
% 9.11/6.83 (trans(s292, s293)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23420, 23417, 32])).
% 9.11/6.83 tff(23422,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s292, s293)) | node14(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s292, s293)) | node14(s292, s293))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23423,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s292, s293)) | node14(s292, s293))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23424,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s292, s293)) | node14(s292, s293)),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 9.11/6.83 tff(23425,plain,
% 9.11/6.83 (node14(s292, s293)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23424, 46, 23421])).
% 9.11/6.83 tff(23426,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23427,plain,
% 9.11/6.83 (((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2)) <=> (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23428,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2))))),
% 9.11/6.83 inference(monotonicity,[status(thm)],[23427])).
% 9.11/6.83 tff(23429,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 9.11/6.83 inference(transitivity,[status(thm)],[23428, 23426])).
% 9.11/6.83 tff(23430,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23431,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23430, 23429])).
% 9.11/6.83 tff(23432,plain,
% 9.11/6.83 (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~m_main_v_state2(s292, c_c2))),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23431, 726, 23425])).
% 9.11/6.83 tff(23433,plain,
% 9.11/6.83 (m_main_v_state2(s293, c_n2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23432, 23414, 23369, 23406, 23402, 23394, 23377])).
% 9.11/6.83 tff(23434,plain,
% 9.11/6.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23435,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23436,plain,
% 9.11/6.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 9.11/6.83 tff(23437,plain,
% 9.11/6.83 (~m_main_v_state2(s293, c_c2)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23436, 697, 23433])).
% 9.11/6.83 tff(23438,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s293, c_c2) | (~node3(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s293, c_c2) | (~node3(s293)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23439,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s293, c_c2) | (~node3(s293)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23440,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s293, c_c2) | (~node3(s293))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23439, 23438])).
% 9.11/6.83 tff(23441,plain,
% 9.11/6.83 (~node3(s293)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23440, 399, 23437])).
% 9.11/6.83 tff(23442,plain,
% 9.11/6.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s292, c_n1) | (~node1(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s292, c_n1) | (~node1(s292)))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23443,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s292, c_n1) | (~node1(s292)))),
% 9.11/6.83 inference(quant_inst,[status(thm)],[])).
% 9.11/6.83 tff(23444,plain,
% 9.11/6.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s292, c_n1) | (~node1(s292))),
% 9.11/6.83 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 9.11/6.83 tff(23445,plain,
% 9.11/6.83 (~node1(s292)),
% 9.11/6.83 inference(unit_resolution,[status(thm)],[23444, 421, 23390])).
% 9.11/6.83 tff(23446,plain,
% 9.11/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s291, s292)) | node18(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s291, s292)) | node18(s291, s292))),
% 9.11/6.83 inference(rewrite,[status(thm)],[])).
% 9.11/6.83 tff(23447,plain,
% 9.11/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s291, s292)) | node18(s291, s292))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23448,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s291, s292)) | node18(s291, s292)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23447, 23446])).
% 9.11/6.84 tff(23449,plain,
% 9.11/6.84 (node18(s291, s292)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23448, 125, 23360])).
% 9.11/6.84 tff(23450,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23451,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23452,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23451, 23450])).
% 9.11/6.84 tff(23453,plain,
% 9.11/6.84 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_turn(s292, c_2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23452, 760, 23449])).
% 9.11/6.84 tff(23454,plain,
% 9.11/6.84 (m_main_v_turn(s292, c_2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23453, 23313, 23349])).
% 9.11/6.84 tff(23455,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23456,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23457,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 9.11/6.84 tff(23458,plain,
% 9.11/6.84 (~m_main_v_turn(s292, c_1)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23457, 156, 23454])).
% 9.11/6.84 tff(23459,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s292, c_1) | (~node5(s292)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s292, c_1) | (~node5(s292)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23460,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s292, c_1) | (~node5(s292)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23461,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s292, c_1) | (~node5(s292))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23460, 23459])).
% 9.11/6.84 tff(23462,plain,
% 9.11/6.84 (~node5(s292)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23461, 776, 23458])).
% 9.11/6.84 tff(23463,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s292, c_n1) | (~node2(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s292, c_n1) | (~node2(s292)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23464,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s292, c_n1) | (~node2(s292)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23465,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s292, c_n1) | (~node2(s292))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 9.11/6.84 tff(23466,plain,
% 9.11/6.84 (~node2(s292)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23465, 787, 23390])).
% 9.11/6.84 tff(23467,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s292, c_n1) | (~node3(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s292, c_n1) | (~node3(s292)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23468,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s292, c_n1) | (~node3(s292)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23469,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s292, c_n1) | (~node3(s292))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23468, 23467])).
% 9.11/6.84 tff(23470,plain,
% 9.11/6.84 (~node3(s292)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23469, 798, 23390])).
% 9.11/6.84 tff(23471,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s292, c_n2) | (~node4(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s292, c_n2) | (~node4(s292)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23472,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s292, c_n2) | (~node4(s292)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23473,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s292, c_n2) | (~node4(s292))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23472, 23471])).
% 9.11/6.84 tff(23474,plain,
% 9.11/6.84 (~node4(s292)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23473, 388, 23410])).
% 9.11/6.84 tff(23475,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s292, s293)) | node7(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s292, s293)) | node7(s292, s293))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23476,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s292, s293)) | node7(s292, s293))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23477,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s292, s293)) | node7(s292, s293)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 9.11/6.84 tff(23478,plain,
% 9.11/6.84 (node7(s292, s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23477, 206, 23421])).
% 9.11/6.84 tff(23479,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23480,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23481,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 9.11/6.84 tff(23482,plain,
% 9.11/6.84 (m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23481, 820, 23478])).
% 9.11/6.84 tff(23483,plain,
% 9.11/6.84 (node6(s292, s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23482, 23474, 23398, 23470, 23466, 23462, 23445])).
% 9.11/6.84 tff(23484,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23485,plain,
% 9.11/6.84 (((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1))) <=> (m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23486,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293))))),
% 9.11/6.84 inference(monotonicity,[status(thm)],[23485])).
% 9.11/6.84 tff(23487,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 9.11/6.84 inference(transitivity,[status(thm)],[23486, 23484])).
% 9.11/6.84 tff(23488,plain,
% 9.11/6.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23489,plain,
% 9.11/6.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 9.11/6.84 tff(23490,plain,
% 9.11/6.84 (~m_main_v_state1(s293, c_n1)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23489, 835, 23390, 23483])).
% 9.11/6.84 tff(23491,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s293, c_n1) | (~node2(s293)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s293, c_n1) | (~node2(s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23492,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s293, c_n1) | (~node2(s293)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23493,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s293, c_n1) | (~node2(s293))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 9.11/6.84 tff(23494,plain,
% 9.11/6.84 (~node2(s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23493, 787, 23490])).
% 9.11/6.84 tff(23495,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23496,plain,
% 9.11/6.84 (((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1)) <=> ((~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23497,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293))))),
% 9.11/6.84 inference(monotonicity,[status(thm)],[23496])).
% 9.11/6.84 tff(23498,plain,
% 9.11/6.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 9.11/6.84 inference(transitivity,[status(thm)],[23497, 23495])).
% 9.11/6.84 tff(23499,plain,
% 9.11/6.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23500,plain,
% 9.11/6.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 9.11/6.84 tff(23501,plain,
% 9.11/6.84 (m_main_v_state1(s293, c_t1)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23500, 856, 23386, 23483])).
% 9.11/6.84 tff(23502,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23503,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23504,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23503, 23502])).
% 9.11/6.84 tff(23505,plain,
% 9.11/6.84 (~m_main_v_state2(s293, c_t2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23504, 77, 23433])).
% 9.11/6.84 tff(23506,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s293, c_t2) | (~node1(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s293, c_t2) | (~node1(s293)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23507,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s293, c_t2) | (~node1(s293)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23508,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s293, c_t2) | (~node1(s293))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23507, 23506])).
% 9.11/6.84 tff(23509,plain,
% 9.11/6.84 (~node1(s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23508, 195, 23505])).
% 9.11/6.84 tff(23510,plain,
% 9.11/6.84 (succ(s293, s294) <=> succ(s293, s294)),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23511,axiom,(succ(s293, s294)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound294')).
% 9.11/6.84 tff(23512,plain,
% 9.11/6.84 (succ(s293, s294)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 9.11/6.84 tff(23513,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23514,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23515,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23514, 23513])).
% 9.11/6.84 tff(23516,plain,
% 9.11/6.84 (trans(s293, s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23515, 23512, 32])).
% 9.11/6.84 tff(23517,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s293, s294)) | node7(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s293, s294)) | node7(s293, s294))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23518,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s293, s294)) | node7(s293, s294))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23519,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s293, s294)) | node7(s293, s294)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 9.11/6.84 tff(23520,plain,
% 9.11/6.84 (node7(s293, s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23519, 206, 23516])).
% 9.11/6.84 tff(23521,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23522,plain,
% 9.11/6.84 (((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1)) <=> ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23523,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294))))),
% 9.11/6.84 inference(monotonicity,[status(thm)],[23522])).
% 9.11/6.84 tff(23524,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 9.11/6.84 inference(transitivity,[status(thm)],[23523, 23521])).
% 9.11/6.84 tff(23525,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23526,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 9.11/6.84 tff(23527,plain,
% 9.11/6.84 ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23526, 892, 23520])).
% 9.11/6.84 tff(23528,plain,
% 9.11/6.84 (m_main_v_state1(s294, c_c1)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23527, 23509, 23433, 23501, 23494, 23441])).
% 9.11/6.84 tff(23529,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23530,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23531,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 9.11/6.84 tff(23532,plain,
% 9.11/6.84 (~m_main_v_state1(s294, c_t1)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23531, 539, 23528])).
% 9.11/6.84 tff(23533,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s294, c_t1) | (~node5(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s294, c_t1) | (~node5(s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23534,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s294, c_t1) | (~node5(s294)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23535,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s294, c_t1) | (~node5(s294))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23534, 23533])).
% 9.11/6.84 tff(23536,plain,
% 9.11/6.84 (~node5(s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23535, 550, 23532])).
% 9.11/6.84 tff(23537,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s293, s294)) | node14(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s293, s294)) | node14(s293, s294))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23538,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s293, s294)) | node14(s293, s294))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23539,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s293, s294)) | node14(s293, s294)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23538, 23537])).
% 9.11/6.84 tff(23540,plain,
% 9.11/6.84 (node14(s293, s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23539, 46, 23516])).
% 9.11/6.84 tff(23541,plain,
% 9.11/6.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23542,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23543,plain,
% 9.11/6.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2)),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 9.11/6.84 tff(23544,plain,
% 9.11/6.84 ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state2(s294, c_t2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23543, 922, 23540])).
% 9.11/6.84 tff(23545,plain,
% 9.11/6.84 (m_main_v_state2(s294, c_t2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23544, 23501, 23433])).
% 9.11/6.84 tff(23546,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23547,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23548,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23547, 23546])).
% 9.11/6.84 tff(23549,plain,
% 9.11/6.84 (~m_main_v_state2(s294, c_n2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23548, 77, 23545])).
% 9.11/6.84 tff(23550,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s294, c_n2) | (~node4(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s294, c_n2) | (~node4(s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23551,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s294, c_n2) | (~node4(s294)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23552,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s294, c_n2) | (~node4(s294))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23551, 23550])).
% 9.11/6.84 tff(23553,plain,
% 9.11/6.84 (~node4(s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23552, 388, 23549])).
% 9.11/6.84 tff(23554,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23555,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23556,plain,
% 9.11/6.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23555, 23554])).
% 9.11/6.84 tff(23557,plain,
% 9.11/6.84 (~m_main_v_state2(s294, c_c2)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23556, 260, 23545])).
% 9.11/6.84 tff(23558,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s294, c_c2) | (~node3(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s294, c_c2) | (~node3(s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23559,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s294, c_c2) | (~node3(s294)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23560,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s294, c_c2) | (~node3(s294))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 9.11/6.84 tff(23561,plain,
% 9.11/6.84 (~node3(s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23560, 399, 23557])).
% 9.11/6.84 tff(23562,plain,
% 9.11/6.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s294, c_n2) | (~node2(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s294, c_n2) | (~node2(s294)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.84 tff(23563,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s294, c_n2) | (~node2(s294)))),
% 9.11/6.84 inference(quant_inst,[status(thm)],[])).
% 9.11/6.84 tff(23564,plain,
% 9.11/6.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s294, c_n2) | (~node2(s294))),
% 9.11/6.84 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 9.11/6.84 tff(23565,plain,
% 9.11/6.84 (~node2(s294)),
% 9.11/6.84 inference(unit_resolution,[status(thm)],[23564, 410, 23549])).
% 9.11/6.84 tff(23566,plain,
% 9.11/6.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))),
% 9.11/6.84 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23567,plain,
% 9.11/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23568,plain,
% 9.11/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23567, 23566])).
% 9.11/6.85 tff(23569,plain,
% 9.11/6.85 (~m_main_v_state1(s294, c_n1)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23568, 454, 23528])).
% 9.11/6.85 tff(23570,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s294, c_n1) | (~node1(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s294, c_n1) | (~node1(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23571,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s294, c_n1) | (~node1(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23572,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s294, c_n1) | (~node1(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 9.11/6.85 tff(23573,plain,
% 9.11/6.85 (~node1(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23572, 421, 23569])).
% 9.11/6.85 tff(23574,plain,
% 9.11/6.85 (succ(s294, s295) <=> succ(s294, s295)),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23575,axiom,(succ(s294, s295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound295')).
% 9.11/6.85 tff(23576,plain,
% 9.11/6.85 (succ(s294, s295)),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 9.11/6.85 tff(23577,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23578,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23579,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23578, 23577])).
% 9.11/6.85 tff(23580,plain,
% 9.11/6.85 (trans(s294, s295)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23579, 23576, 32])).
% 9.11/6.85 tff(23581,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s294, s295)) | node7(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s294, s295)) | node7(s294, s295))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23582,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s294, s295)) | node7(s294, s295))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23583,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s294, s295)) | node7(s294, s295)),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23582, 23581])).
% 9.11/6.85 tff(23584,plain,
% 9.11/6.85 (node7(s294, s295)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23583, 206, 23580])).
% 9.11/6.85 tff(23585,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23586,plain,
% 9.11/6.85 (((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1)) <=> (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23587,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295))))),
% 9.11/6.85 inference(monotonicity,[status(thm)],[23586])).
% 9.11/6.85 tff(23588,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 9.11/6.85 inference(transitivity,[status(thm)],[23587, 23585])).
% 9.11/6.85 tff(23589,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23590,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23589, 23588])).
% 9.11/6.85 tff(23591,plain,
% 9.11/6.85 (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23590, 584, 23584])).
% 9.11/6.85 tff(23592,plain,
% 9.11/6.85 (m_main_v_state1(s295, c_n1)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23591, 23573, 23528, 23565, 23561, 23553, 23536])).
% 9.11/6.85 tff(23593,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s293, c_t2) | (~node15(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s293, c_t2) | (~node15(s293)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23594,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s293, c_t2) | (~node15(s293)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23595,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s293, c_t2) | (~node15(s293))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 9.11/6.85 tff(23596,plain,
% 9.11/6.85 (~node15(s293)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23595, 103, 23505])).
% 9.11/6.85 tff(23597,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s293, s294)) | node18(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s293, s294)) | node18(s293, s294))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23598,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s293, s294)) | node18(s293, s294))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23599,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s293, s294)) | node18(s293, s294)),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23598, 23597])).
% 9.11/6.85 tff(23600,plain,
% 9.11/6.85 (node18(s293, s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23599, 125, 23516])).
% 9.11/6.85 tff(23601,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23602,plain,
% 9.11/6.85 (((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1)) <=> (node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23603,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)))),
% 9.11/6.85 inference(monotonicity,[status(thm)],[23602])).
% 9.11/6.85 tff(23604,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 9.11/6.85 inference(transitivity,[status(thm)],[23603, 23601])).
% 9.11/6.85 tff(23605,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23606,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23605, 23604])).
% 9.11/6.85 tff(23607,plain,
% 9.11/6.85 (node15(s293) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23606, 992, 23600])).
% 9.11/6.85 tff(23608,plain,
% 9.11/6.85 (m_main_v_turn(s294, c_1)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23607, 23596, 23433, 23501])).
% 9.11/6.85 tff(23609,plain,
% 9.11/6.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23610,plain,
% 9.11/6.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23611,plain,
% 9.11/6.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23610, 23609])).
% 9.11/6.85 tff(23612,plain,
% 9.11/6.85 (~m_main_v_turn(s294, c_2)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23611, 156, 23608])).
% 9.11/6.85 tff(23613,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s294, c_2) | (~node12(s294)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s294, c_2) | (~node12(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23614,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s294, c_2) | (~node12(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23615,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s294, c_2) | (~node12(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23614, 23613])).
% 9.11/6.85 tff(23616,plain,
% 9.11/6.85 (~node12(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23615, 184, 23612])).
% 9.11/6.85 tff(23617,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s294, c_n2) | (~node8(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s294, c_n2) | (~node8(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23618,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s294, c_n2) | (~node8(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23619,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s294, c_n2) | (~node8(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23618, 23617])).
% 9.11/6.85 tff(23620,plain,
% 9.11/6.85 (~node8(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23619, 271, 23549])).
% 9.11/6.85 tff(23621,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s294, c_n2) | (~node9(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s294, c_n2) | (~node9(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23622,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s294, c_n2) | (~node9(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23623,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s294, c_n2) | (~node9(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23622, 23621])).
% 9.11/6.85 tff(23624,plain,
% 9.11/6.85 (~node9(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23623, 88, 23549])).
% 9.11/6.85 tff(23625,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s294, c_n2) | (~node10(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s294, c_n2) | (~node10(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23626,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s294, c_n2) | (~node10(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23627,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s294, c_n2) | (~node10(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23626, 23625])).
% 9.11/6.85 tff(23628,plain,
% 9.11/6.85 (~node10(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23627, 249, 23549])).
% 9.11/6.85 tff(23629,plain,
% 9.11/6.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s294, c_n1) | (~node11(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s294, c_n1) | (~node11(s294)))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23630,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s294, c_n1) | (~node11(s294)))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23631,plain,
% 9.11/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s294, c_n1) | (~node11(s294))),
% 9.11/6.85 inference(modus_ponens,[status(thm)],[23630, 23629])).
% 9.11/6.85 tff(23632,plain,
% 9.11/6.85 (~node11(s294)),
% 9.11/6.85 inference(unit_resolution,[status(thm)],[23631, 238, 23569])).
% 9.11/6.85 tff(23633,plain,
% 9.11/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s294, s295)) | node14(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s294, s295)) | node14(s294, s295))),
% 9.11/6.85 inference(rewrite,[status(thm)],[])).
% 9.11/6.85 tff(23634,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s294, s295)) | node14(s294, s295))),
% 9.11/6.85 inference(quant_inst,[status(thm)],[])).
% 9.11/6.85 tff(23635,plain,
% 9.11/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s294, s295)) | node14(s294, s295)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 9.22/6.85 tff(23636,plain,
% 9.22/6.85 (node14(s294, s295)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23635, 46, 23580])).
% 9.22/6.85 tff(23637,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23638,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23639,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 9.22/6.85 tff(23640,plain,
% 9.22/6.85 (m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23639, 296, 23636])).
% 9.22/6.85 tff(23641,plain,
% 9.22/6.85 (node13(s294, s295)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23640, 23632, 23557, 23628, 23624, 23620, 23616])).
% 9.22/6.85 tff(23642,plain,
% 9.22/6.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23643,plain,
% 9.22/6.85 (((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2)) <=> ((~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23644,plain,
% 9.22/6.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295))))),
% 9.22/6.85 inference(monotonicity,[status(thm)],[23643])).
% 9.22/6.85 tff(23645,plain,
% 9.22/6.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 9.22/6.85 inference(transitivity,[status(thm)],[23644, 23642])).
% 9.22/6.85 tff(23646,plain,
% 9.22/6.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23647,plain,
% 9.22/6.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 9.22/6.85 tff(23648,plain,
% 9.22/6.85 (m_main_v_state2(s295, c_t2)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23647, 518, 23545, 23641])).
% 9.22/6.85 tff(23649,plain,
% 9.22/6.85 (succ(s295, s296) <=> succ(s295, s296)),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23650,axiom,(succ(s295, s296)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound296')).
% 9.22/6.85 tff(23651,plain,
% 9.22/6.85 (succ(s295, s296)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 9.22/6.85 tff(23652,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23653,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23654,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23653, 23652])).
% 9.22/6.85 tff(23655,plain,
% 9.22/6.85 (trans(s295, s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23654, 23651, 32])).
% 9.22/6.85 tff(23656,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s295, s296)) | node7(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s295, s296)) | node7(s295, s296))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23657,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s295, s296)) | node7(s295, s296))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23658,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s295, s296)) | node7(s295, s296)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23657, 23656])).
% 9.22/6.85 tff(23659,plain,
% 9.22/6.85 (node7(s295, s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23658, 206, 23655])).
% 9.22/6.85 tff(23660,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23661,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23662,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23661, 23660])).
% 9.22/6.85 tff(23663,plain,
% 9.22/6.85 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_state1(s296, c_t1)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23662, 651, 23659])).
% 9.22/6.85 tff(23664,plain,
% 9.22/6.85 (m_main_v_state1(s296, c_t1)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23663, 23648, 23592])).
% 9.22/6.85 tff(23665,plain,
% 9.22/6.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23666,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23667,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23666, 23665])).
% 9.22/6.85 tff(23668,plain,
% 9.22/6.85 (~m_main_v_state1(s296, c_n1)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23667, 10, 23664])).
% 9.22/6.85 tff(23669,plain,
% 9.22/6.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s296, c_n1) | (~node1(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s296, c_n1) | (~node1(s296)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23670,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s296, c_n1) | (~node1(s296)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23671,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s296, c_n1) | (~node1(s296))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23670, 23669])).
% 9.22/6.85 tff(23672,plain,
% 9.22/6.85 (~node1(s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23671, 421, 23668])).
% 9.22/6.85 tff(23673,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s295, s296)) | node18(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s295, s296)) | node18(s295, s296))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23674,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s295, s296)) | node18(s295, s296))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23675,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s295, s296)) | node18(s295, s296)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23674, 23673])).
% 9.22/6.85 tff(23676,plain,
% 9.22/6.85 (node18(s295, s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23675, 125, 23655])).
% 9.22/6.85 tff(23677,plain,
% 9.22/6.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23678,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23679,plain,
% 9.22/6.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2)),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23678, 23677])).
% 9.22/6.85 tff(23680,plain,
% 9.22/6.85 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_turn(s296, c_2)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23679, 760, 23676])).
% 9.22/6.85 tff(23681,plain,
% 9.22/6.85 (m_main_v_turn(s296, c_2)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23680, 23648, 23592])).
% 9.22/6.85 tff(23682,plain,
% 9.22/6.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23683,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23684,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 9.22/6.85 tff(23685,plain,
% 9.22/6.85 (~m_main_v_turn(s296, c_1)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23684, 156, 23681])).
% 9.22/6.85 tff(23686,plain,
% 9.22/6.85 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s296, c_1) | (~node5(s296)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s296, c_1) | (~node5(s296)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23687,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s296, c_1) | (~node5(s296)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23688,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s296, c_1) | (~node5(s296))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23687, 23686])).
% 9.22/6.85 tff(23689,plain,
% 9.22/6.85 (~node5(s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23688, 776, 23685])).
% 9.22/6.85 tff(23690,plain,
% 9.22/6.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s296, c_n1) | (~node2(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s296, c_n1) | (~node2(s296)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23691,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s296, c_n1) | (~node2(s296)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23692,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s296, c_n1) | (~node2(s296))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23691, 23690])).
% 9.22/6.85 tff(23693,plain,
% 9.22/6.85 (~node2(s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23692, 787, 23668])).
% 9.22/6.85 tff(23694,plain,
% 9.22/6.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s296, c_n1) | (~node3(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s296, c_n1) | (~node3(s296)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23695,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s296, c_n1) | (~node3(s296)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23696,plain,
% 9.22/6.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s296, c_n1) | (~node3(s296))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 9.22/6.85 tff(23697,plain,
% 9.22/6.85 (~node3(s296)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23696, 798, 23668])).
% 9.22/6.85 tff(23698,plain,
% 9.22/6.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))),
% 9.22/6.85 inference(rewrite,[status(thm)],[])).
% 9.22/6.85 tff(23699,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))),
% 9.22/6.85 inference(quant_inst,[status(thm)],[])).
% 9.22/6.85 tff(23700,plain,
% 9.22/6.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1))),
% 9.22/6.85 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 9.22/6.85 tff(23701,plain,
% 9.22/6.85 (~m_main_v_state1(s296, c_c1)),
% 9.22/6.85 inference(unit_resolution,[status(thm)],[23700, 539, 23664])).
% 9.22/6.85 tff(23702,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23703,plain,
% 9.22/6.86 (((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2))) <=> (m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23704,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295))))),
% 9.22/6.86 inference(monotonicity,[status(thm)],[23703])).
% 9.22/6.86 tff(23705,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 9.22/6.86 inference(transitivity,[status(thm)],[23704, 23702])).
% 9.22/6.86 tff(23706,plain,
% 9.22/6.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23707,plain,
% 9.22/6.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23706, 23705])).
% 9.22/6.86 tff(23708,plain,
% 9.22/6.86 (~m_main_v_state2(s295, c_n2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23707, 311, 23549, 23641])).
% 9.22/6.86 tff(23709,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s295, c_n2) | (~node9(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s295, c_n2) | (~node9(s295)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23710,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s295, c_n2) | (~node9(s295)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23711,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s295, c_n2) | (~node9(s295))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 9.22/6.86 tff(23712,plain,
% 9.22/6.86 (~node9(s295)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23711, 88, 23708])).
% 9.22/6.86 tff(23713,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s295, c_n2) | (~node10(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s295, c_n2) | (~node10(s295)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23714,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s295, c_n2) | (~node10(s295)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23715,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s295, c_n2) | (~node10(s295))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23714, 23713])).
% 9.22/6.86 tff(23716,plain,
% 9.22/6.86 (~node10(s295)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23715, 249, 23708])).
% 9.22/6.86 tff(23717,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s295, c_n2) | (~node8(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s295, c_n2) | (~node8(s295)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23718,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s295, c_n2) | (~node8(s295)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23719,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s295, c_n2) | (~node8(s295))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23718, 23717])).
% 9.22/6.86 tff(23720,plain,
% 9.22/6.86 (~node8(s295)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23719, 271, 23708])).
% 9.22/6.86 tff(23721,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s295, s296)) | node14(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s295, s296)) | node14(s295, s296))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23722,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s295, s296)) | node14(s295, s296))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23723,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s295, s296)) | node14(s295, s296)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23722, 23721])).
% 9.22/6.86 tff(23724,plain,
% 9.22/6.86 (node14(s295, s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23723, 46, 23655])).
% 9.22/6.86 tff(23725,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23726,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23727,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23726, 23725])).
% 9.22/6.86 tff(23728,plain,
% 9.22/6.86 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | m_main_v_state2(s296, c_c2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23727, 617, 23724])).
% 9.22/6.86 tff(23729,plain,
% 9.22/6.86 (m_main_v_state2(s296, c_c2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23728, 23720, 23592, 23648, 23716, 23712])).
% 9.22/6.86 tff(23730,plain,
% 9.22/6.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23731,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23732,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23731, 23730])).
% 9.22/6.86 tff(23733,plain,
% 9.22/6.86 (~m_main_v_state2(s296, c_n2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23732, 697, 23729])).
% 9.22/6.86 tff(23734,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s296, c_n2) | (~node4(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s296, c_n2) | (~node4(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23735,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s296, c_n2) | (~node4(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23736,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s296, c_n2) | (~node4(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 9.22/6.86 tff(23737,plain,
% 9.22/6.86 (~node4(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23736, 388, 23733])).
% 9.22/6.86 tff(23738,plain,
% 9.22/6.86 (succ(s296, s297) <=> succ(s296, s297)),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23739,axiom,(succ(s296, s297)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound297')).
% 9.22/6.86 tff(23740,plain,
% 9.22/6.86 (succ(s296, s297)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 9.22/6.86 tff(23741,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23742,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23743,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23742, 23741])).
% 9.22/6.86 tff(23744,plain,
% 9.22/6.86 (trans(s296, s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23743, 23740, 32])).
% 9.22/6.86 tff(23745,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s296, s297)) | node7(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s296, s297)) | node7(s296, s297))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23746,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s296, s297)) | node7(s296, s297))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23747,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s296, s297)) | node7(s296, s297)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 9.22/6.86 tff(23748,plain,
% 9.22/6.86 (node7(s296, s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23747, 206, 23744])).
% 9.22/6.86 tff(23749,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23750,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23751,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 9.22/6.86 tff(23752,plain,
% 9.22/6.86 (m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23751, 820, 23748])).
% 9.22/6.86 tff(23753,plain,
% 9.22/6.86 (node6(s296, s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23752, 23737, 23701, 23697, 23693, 23689, 23672])).
% 9.22/6.86 tff(23754,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23755,plain,
% 9.22/6.86 (((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1)) <=> ((~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23756,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297))))),
% 9.22/6.86 inference(monotonicity,[status(thm)],[23755])).
% 9.22/6.86 tff(23757,plain,
% 9.22/6.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 9.22/6.86 inference(transitivity,[status(thm)],[23756, 23754])).
% 9.22/6.86 tff(23758,plain,
% 9.22/6.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23759,plain,
% 9.22/6.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23758, 23757])).
% 9.22/6.86 tff(23760,plain,
% 9.22/6.86 (m_main_v_state1(s297, c_t1)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23759, 856, 23664, 23753])).
% 9.22/6.86 tff(23761,plain,
% 9.22/6.86 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23762,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23763,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 9.22/6.86 tff(23764,plain,
% 9.22/6.86 (~m_main_v_state2(s296, c_t2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23763, 260, 23729])).
% 9.22/6.86 tff(23765,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s296, c_t2) | (~node12(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s296, c_t2) | (~node12(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23766,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s296, c_t2) | (~node12(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23767,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s296, c_t2) | (~node12(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 9.22/6.86 tff(23768,plain,
% 9.22/6.86 (~node12(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23767, 633, 23764])).
% 9.22/6.86 tff(23769,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s296, c_n1) | (~node11(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s296, c_n1) | (~node11(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23770,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s296, c_n1) | (~node11(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23771,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s296, c_n1) | (~node11(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 9.22/6.86 tff(23772,plain,
% 9.22/6.86 (~node11(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23771, 238, 23668])).
% 9.22/6.86 tff(23773,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s296, c_c1) | (~node10(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s296, c_c1) | (~node10(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23774,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s296, c_c1) | (~node10(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23775,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s296, c_c1) | (~node10(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23774, 23773])).
% 9.22/6.86 tff(23776,plain,
% 9.22/6.86 (~node10(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23775, 675, 23701])).
% 9.22/6.86 tff(23777,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s296, c_n1) | (~node9(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s296, c_n1) | (~node9(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23778,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s296, c_n1) | (~node9(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23779,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s296, c_n1) | (~node9(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23778, 23777])).
% 9.22/6.86 tff(23780,plain,
% 9.22/6.86 (~node9(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23779, 686, 23668])).
% 9.22/6.86 tff(23781,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s296, c_n2) | (~node8(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s296, c_n2) | (~node8(s296)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23782,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s296, c_n2) | (~node8(s296)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23783,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s296, c_n2) | (~node8(s296))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 9.22/6.86 tff(23784,plain,
% 9.22/6.86 (~node8(s296)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23783, 271, 23733])).
% 9.22/6.86 tff(23785,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s296, s297)) | node14(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s296, s297)) | node14(s296, s297))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23786,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s296, s297)) | node14(s296, s297))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23787,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s296, s297)) | node14(s296, s297)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23786, 23785])).
% 9.22/6.86 tff(23788,plain,
% 9.22/6.86 (node14(s296, s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23787, 46, 23744])).
% 9.22/6.86 tff(23789,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23790,plain,
% 9.22/6.86 (((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2)) <=> (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23791,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2))))),
% 9.22/6.86 inference(monotonicity,[status(thm)],[23790])).
% 9.22/6.86 tff(23792,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 9.22/6.86 inference(transitivity,[status(thm)],[23791, 23789])).
% 9.22/6.86 tff(23793,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23794,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23793, 23792])).
% 9.22/6.86 tff(23795,plain,
% 9.22/6.86 (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~m_main_v_state2(s296, c_c2))),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23794, 726, 23788])).
% 9.22/6.86 tff(23796,plain,
% 9.22/6.86 (m_main_v_state2(s297, c_n2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23795, 23784, 23729, 23780, 23776, 23772, 23768])).
% 9.22/6.86 tff(23797,plain,
% 9.22/6.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23798,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23799,plain,
% 9.22/6.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 9.22/6.86 tff(23800,plain,
% 9.22/6.86 (~m_main_v_state2(s297, c_t2)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23799, 77, 23796])).
% 9.22/6.86 tff(23801,plain,
% 9.22/6.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s297, c_t2) | (~node15(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s297, c_t2) | (~node15(s297)))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23802,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s297, c_t2) | (~node15(s297)))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23803,plain,
% 9.22/6.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s297, c_t2) | (~node15(s297))),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 9.22/6.86 tff(23804,plain,
% 9.22/6.86 (~node15(s297)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23803, 103, 23800])).
% 9.22/6.86 tff(23805,plain,
% 9.22/6.86 (succ(s297, s298) <=> succ(s297, s298)),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23806,axiom,(succ(s297, s298)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound298')).
% 9.22/6.86 tff(23807,plain,
% 9.22/6.86 (succ(s297, s298)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 9.22/6.86 tff(23808,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23809,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23810,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23809, 23808])).
% 9.22/6.86 tff(23811,plain,
% 9.22/6.86 (trans(s297, s298)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23810, 23807, 32])).
% 9.22/6.86 tff(23812,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s297, s298)) | node18(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s297, s298)) | node18(s297, s298))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23813,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s297, s298)) | node18(s297, s298))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23814,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s297, s298)) | node18(s297, s298)),
% 9.22/6.86 inference(modus_ponens,[status(thm)],[23813, 23812])).
% 9.22/6.86 tff(23815,plain,
% 9.22/6.86 (node18(s297, s298)),
% 9.22/6.86 inference(unit_resolution,[status(thm)],[23814, 125, 23811])).
% 9.22/6.86 tff(23816,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23817,plain,
% 9.22/6.86 (((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1)) <=> (node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 9.22/6.86 inference(rewrite,[status(thm)],[])).
% 9.22/6.86 tff(23818,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)))),
% 9.22/6.86 inference(monotonicity,[status(thm)],[23817])).
% 9.22/6.86 tff(23819,plain,
% 9.22/6.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 9.22/6.86 inference(transitivity,[status(thm)],[23818, 23816])).
% 9.22/6.86 tff(23820,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1))),
% 9.22/6.86 inference(quant_inst,[status(thm)],[])).
% 9.22/6.86 tff(23821,plain,
% 9.22/6.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 9.22/6.87 tff(23822,plain,
% 9.22/6.87 (node15(s297) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23821, 992, 23815])).
% 9.22/6.87 tff(23823,plain,
% 9.22/6.87 (m_main_v_turn(s298, c_1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23822, 23804, 23796, 23760])).
% 9.22/6.87 tff(23824,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23825,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23826,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 9.22/6.87 tff(23827,plain,
% 9.22/6.87 (~m_main_v_turn(s298, c_2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23826, 156, 23823])).
% 9.22/6.87 tff(23828,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s298, c_2) | (~node12(s298)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s298, c_2) | (~node12(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23829,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s298, c_2) | (~node12(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23830,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s298, c_2) | (~node12(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 9.22/6.87 tff(23831,plain,
% 9.22/6.87 (~node12(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23830, 184, 23827])).
% 9.22/6.87 tff(23832,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s297, s298)) | node14(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s297, s298)) | node14(s297, s298))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23833,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s297, s298)) | node14(s297, s298))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23834,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s297, s298)) | node14(s297, s298)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 9.22/6.87 tff(23835,plain,
% 9.22/6.87 (node14(s297, s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23834, 46, 23811])).
% 9.22/6.87 tff(23836,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23837,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23838,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 9.22/6.87 tff(23839,plain,
% 9.22/6.87 ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state2(s298, c_t2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23838, 922, 23835])).
% 9.22/6.87 tff(23840,plain,
% 9.22/6.87 (m_main_v_state2(s298, c_t2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23839, 23760, 23796])).
% 9.22/6.87 tff(23841,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23842,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23843,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 9.22/6.87 tff(23844,plain,
% 9.22/6.87 (~m_main_v_state2(s298, c_n2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23843, 77, 23840])).
% 9.22/6.87 tff(23845,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s298, c_n2) | (~node8(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s298, c_n2) | (~node8(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23846,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s298, c_n2) | (~node8(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23847,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s298, c_n2) | (~node8(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 9.22/6.87 tff(23848,plain,
% 9.22/6.87 (~node8(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23847, 271, 23844])).
% 9.22/6.87 tff(23849,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s298, c_n2) | (~node9(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s298, c_n2) | (~node9(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23850,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s298, c_n2) | (~node9(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23851,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s298, c_n2) | (~node9(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 9.22/6.87 tff(23852,plain,
% 9.22/6.87 (~node9(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23851, 88, 23844])).
% 9.22/6.87 tff(23853,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s298, c_n2) | (~node10(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s298, c_n2) | (~node10(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23854,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s298, c_n2) | (~node10(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23855,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s298, c_n2) | (~node10(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 9.22/6.87 tff(23856,plain,
% 9.22/6.87 (~node10(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23855, 249, 23844])).
% 9.22/6.87 tff(23857,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23858,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23859,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23858, 23857])).
% 9.22/6.87 tff(23860,plain,
% 9.22/6.87 (~m_main_v_state2(s298, c_c2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23859, 260, 23840])).
% 9.22/6.87 tff(23861,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23862,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23863,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 9.22/6.87 tff(23864,plain,
% 9.22/6.87 (~m_main_v_state2(s297, c_c2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23863, 697, 23796])).
% 9.22/6.87 tff(23865,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s297, c_c2) | (~node3(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s297, c_c2) | (~node3(s297)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23866,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s297, c_c2) | (~node3(s297)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23867,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s297, c_c2) | (~node3(s297))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23866, 23865])).
% 9.22/6.87 tff(23868,plain,
% 9.22/6.87 (~node3(s297)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23867, 399, 23864])).
% 9.22/6.87 tff(23869,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23870,plain,
% 9.22/6.87 (((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1))) <=> (m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23871,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297))))),
% 9.22/6.87 inference(monotonicity,[status(thm)],[23870])).
% 9.22/6.87 tff(23872,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 9.22/6.87 inference(transitivity,[status(thm)],[23871, 23869])).
% 9.22/6.87 tff(23873,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23874,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 9.22/6.87 tff(23875,plain,
% 9.22/6.87 (~m_main_v_state1(s297, c_n1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23874, 835, 23668, 23753])).
% 9.22/6.87 tff(23876,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s297, c_n1) | (~node2(s297)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s297, c_n1) | (~node2(s297)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23877,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s297, c_n1) | (~node2(s297)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23878,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s297, c_n1) | (~node2(s297))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23877, 23876])).
% 9.22/6.87 tff(23879,plain,
% 9.22/6.87 (~node2(s297)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23878, 787, 23875])).
% 9.22/6.87 tff(23880,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s297, c_t2) | (~node1(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s297, c_t2) | (~node1(s297)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23881,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s297, c_t2) | (~node1(s297)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23882,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s297, c_t2) | (~node1(s297))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 9.22/6.87 tff(23883,plain,
% 9.22/6.87 (~node1(s297)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23882, 195, 23800])).
% 9.22/6.87 tff(23884,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s297, s298)) | node7(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s297, s298)) | node7(s297, s298))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23885,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s297, s298)) | node7(s297, s298))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23886,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s297, s298)) | node7(s297, s298)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 9.22/6.87 tff(23887,plain,
% 9.22/6.87 (node7(s297, s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23886, 206, 23811])).
% 9.22/6.87 tff(23888,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23889,plain,
% 9.22/6.87 (((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1)) <=> ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23890,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298))))),
% 9.22/6.87 inference(monotonicity,[status(thm)],[23889])).
% 9.22/6.87 tff(23891,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 9.22/6.87 inference(transitivity,[status(thm)],[23890, 23888])).
% 9.22/6.87 tff(23892,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23893,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23892, 23891])).
% 9.22/6.87 tff(23894,plain,
% 9.22/6.87 ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23893, 892, 23887])).
% 9.22/6.87 tff(23895,plain,
% 9.22/6.87 (m_main_v_state1(s298, c_c1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23894, 23883, 23796, 23760, 23879, 23868])).
% 9.22/6.87 tff(23896,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23897,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23898,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 9.22/6.87 tff(23899,plain,
% 9.22/6.87 (~m_main_v_state1(s298, c_n1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23898, 454, 23895])).
% 9.22/6.87 tff(23900,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s298, c_n1) | (~node11(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s298, c_n1) | (~node11(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23901,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s298, c_n1) | (~node11(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23902,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s298, c_n1) | (~node11(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 9.22/6.87 tff(23903,plain,
% 9.22/6.87 (~node11(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23902, 238, 23899])).
% 9.22/6.87 tff(23904,plain,
% 9.22/6.87 (succ(s298, s299) <=> succ(s298, s299)),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23905,axiom,(succ(s298, s299)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound299')).
% 9.22/6.87 tff(23906,plain,
% 9.22/6.87 (succ(s298, s299)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 9.22/6.87 tff(23907,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23908,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23909,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23908, 23907])).
% 9.22/6.87 tff(23910,plain,
% 9.22/6.87 (trans(s298, s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23909, 23906, 32])).
% 9.22/6.87 tff(23911,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s298, s299)) | node14(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s298, s299)) | node14(s298, s299))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23912,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s298, s299)) | node14(s298, s299))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23913,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s298, s299)) | node14(s298, s299)),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23912, 23911])).
% 9.22/6.87 tff(23914,plain,
% 9.22/6.87 (node14(s298, s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23913, 46, 23910])).
% 9.22/6.87 tff(23915,plain,
% 9.22/6.87 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23916,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23917,plain,
% 9.22/6.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23916, 23915])).
% 9.22/6.87 tff(23918,plain,
% 9.22/6.87 (m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23917, 296, 23914])).
% 9.22/6.87 tff(23919,plain,
% 9.22/6.87 (node13(s298, s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23918, 23903, 23860, 23856, 23852, 23848, 23831])).
% 9.22/6.87 tff(23920,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23921,plain,
% 9.22/6.87 (((~node13(s298, s299)) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2))) <=> (m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23922,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s298, s299)) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299))))),
% 9.22/6.87 inference(monotonicity,[status(thm)],[23921])).
% 9.22/6.87 tff(23923,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s298, s299)) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299)))),
% 9.22/6.87 inference(transitivity,[status(thm)],[23922, 23920])).
% 9.22/6.87 tff(23924,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s298, s299)) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23925,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s298, c_n2) | (~m_main_v_state2(s299, c_n2)) | (~node13(s298, s299))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23924, 23923])).
% 9.22/6.87 tff(23926,plain,
% 9.22/6.87 (~m_main_v_state2(s299, c_n2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23925, 311, 23844, 23919])).
% 9.22/6.87 tff(23927,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s299, c_n2) | (~node9(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s299, c_n2) | (~node9(s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23928,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s299, c_n2) | (~node9(s299)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23929,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s299, c_n2) | (~node9(s299))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23928, 23927])).
% 9.22/6.87 tff(23930,plain,
% 9.22/6.87 (~node9(s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23929, 88, 23926])).
% 9.22/6.87 tff(23931,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s299, c_n2) | (~node10(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s299, c_n2) | (~node10(s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23932,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s299, c_n2) | (~node10(s299)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23933,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s299, c_n2) | (~node10(s299))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 9.22/6.87 tff(23934,plain,
% 9.22/6.87 (~node10(s299)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23933, 249, 23926])).
% 9.22/6.87 tff(23935,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23936,plain,
% 9.22/6.87 (((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2)) <=> ((~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23937,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299))))),
% 9.22/6.87 inference(monotonicity,[status(thm)],[23936])).
% 9.22/6.87 tff(23938,plain,
% 9.22/6.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 9.22/6.87 inference(transitivity,[status(thm)],[23937, 23935])).
% 9.22/6.87 tff(23939,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23940,plain,
% 9.22/6.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 9.22/6.87 tff(23941,plain,
% 9.22/6.87 (m_main_v_state2(s299, c_t2)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23940, 518, 23840, 23919])).
% 9.22/6.87 tff(23942,plain,
% 9.22/6.87 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23943,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23944,plain,
% 9.22/6.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23943, 23942])).
% 9.22/6.87 tff(23945,plain,
% 9.22/6.87 (~m_main_v_state1(s298, c_t1)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23944, 539, 23895])).
% 9.22/6.87 tff(23946,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s298, c_t1) | (~node5(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s298, c_t1) | (~node5(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23947,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s298, c_t1) | (~node5(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23948,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s298, c_t1) | (~node5(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23947, 23946])).
% 9.22/6.87 tff(23949,plain,
% 9.22/6.87 (~node5(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23948, 550, 23945])).
% 9.22/6.87 tff(23950,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s298, c_n2) | (~node4(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s298, c_n2) | (~node4(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23951,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s298, c_n2) | (~node4(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23952,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s298, c_n2) | (~node4(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23951, 23950])).
% 9.22/6.87 tff(23953,plain,
% 9.22/6.87 (~node4(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23952, 388, 23844])).
% 9.22/6.87 tff(23954,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s298, c_c2) | (~node3(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s298, c_c2) | (~node3(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23955,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s298, c_c2) | (~node3(s298)))),
% 9.22/6.87 inference(quant_inst,[status(thm)],[])).
% 9.22/6.87 tff(23956,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s298, c_c2) | (~node3(s298))),
% 9.22/6.87 inference(modus_ponens,[status(thm)],[23955, 23954])).
% 9.22/6.87 tff(23957,plain,
% 9.22/6.87 (~node3(s298)),
% 9.22/6.87 inference(unit_resolution,[status(thm)],[23956, 399, 23860])).
% 9.22/6.87 tff(23958,plain,
% 9.22/6.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s298, c_n2) | (~node2(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s298, c_n2) | (~node2(s298)))),
% 9.22/6.87 inference(rewrite,[status(thm)],[])).
% 9.22/6.87 tff(23959,plain,
% 9.22/6.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s298, c_n2) | (~node2(s298)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23960,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s298, c_n2) | (~node2(s298))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23959, 23958])).
% 9.22/6.88 tff(23961,plain,
% 9.22/6.88 (~node2(s298)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23960, 410, 23844])).
% 9.22/6.88 tff(23962,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s298, c_n1) | (~node1(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s298, c_n1) | (~node1(s298)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23963,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s298, c_n1) | (~node1(s298)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23964,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s298, c_n1) | (~node1(s298))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23963, 23962])).
% 9.22/6.88 tff(23965,plain,
% 9.22/6.88 (~node1(s298)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23964, 421, 23899])).
% 9.22/6.88 tff(23966,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s298, s299)) | node7(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s298, s299)) | node7(s298, s299))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23967,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s298, s299)) | node7(s298, s299))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23968,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s298, s299)) | node7(s298, s299)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23967, 23966])).
% 9.22/6.88 tff(23969,plain,
% 9.22/6.88 (node7(s298, s299)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23968, 206, 23910])).
% 9.22/6.88 tff(23970,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23971,plain,
% 9.22/6.88 (((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1)) <=> (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23972,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299))))),
% 9.22/6.88 inference(monotonicity,[status(thm)],[23971])).
% 9.22/6.88 tff(23973,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)))),
% 9.22/6.88 inference(transitivity,[status(thm)],[23972, 23970])).
% 9.22/6.88 tff(23974,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23975,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23974, 23973])).
% 9.22/6.88 tff(23976,plain,
% 9.22/6.88 (m_main_v_state1(s299, c_n1) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23975, 584, 23969])).
% 9.22/6.88 tff(23977,plain,
% 9.22/6.88 (m_main_v_state1(s299, c_n1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23976, 23965, 23895, 23961, 23957, 23953, 23949])).
% 9.22/6.88 tff(23978,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s299, c_n2) | (~node8(s299)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s299, c_n2) | (~node8(s299)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23979,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s299, c_n2) | (~node8(s299)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23980,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s299, c_n2) | (~node8(s299))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 9.22/6.88 tff(23981,plain,
% 9.22/6.88 (~node8(s299)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23980, 271, 23926])).
% 9.22/6.88 tff(23982,plain,
% 9.22/6.88 (succ(s299, s300) <=> succ(s299, s300)),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23983,axiom,(succ(s299, s300)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound300')).
% 9.22/6.88 tff(23984,plain,
% 9.22/6.88 (succ(s299, s300)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23983, 23982])).
% 9.22/6.88 tff(23985,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23986,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23987,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23986, 23985])).
% 9.22/6.88 tff(23988,plain,
% 9.22/6.88 (trans(s299, s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23987, 23984, 32])).
% 9.22/6.88 tff(23989,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s299, s300)) | node14(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s299, s300)) | node14(s299, s300))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23990,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s299, s300)) | node14(s299, s300))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23991,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s299, s300)) | node14(s299, s300)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23990, 23989])).
% 9.22/6.88 tff(23992,plain,
% 9.22/6.88 (node14(s299, s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23991, 46, 23988])).
% 9.22/6.88 tff(23993,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23994,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(23995,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | (~node14(s299, s300)) | m_main_v_state2(s300, c_c2)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23994, 23993])).
% 9.22/6.88 tff(23996,plain,
% 9.22/6.88 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | node9(s299) | node8(s299) | node10(s299) | m_main_v_state2(s300, c_c2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23995, 617, 23992])).
% 9.22/6.88 tff(23997,plain,
% 9.22/6.88 (m_main_v_state2(s300, c_c2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[23996, 23981, 23977, 23941, 23934, 23930])).
% 9.22/6.88 tff(23998,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(23999,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24000,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_t2)) | (~m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[23999, 23998])).
% 9.22/6.88 tff(24001,plain,
% 9.22/6.88 (~m_main_v_state2(s300, c_t2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24000, 260, 23997])).
% 9.22/6.88 tff(24002,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s300, c_t2) | (~node12(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s300, c_t2) | (~node12(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24003,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s300, c_t2) | (~node12(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24004,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s300, c_t2) | (~node12(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24003, 24002])).
% 9.22/6.88 tff(24005,plain,
% 9.22/6.88 (~node12(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24004, 633, 24001])).
% 9.22/6.88 tff(24006,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s299, s300)) | node7(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s299, s300)) | node7(s299, s300))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24007,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s299, s300)) | node7(s299, s300))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24008,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s299, s300)) | node7(s299, s300)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24007, 24006])).
% 9.22/6.88 tff(24009,plain,
% 9.22/6.88 (node7(s299, s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24008, 206, 23988])).
% 9.22/6.88 tff(24010,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24011,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24012,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node7(s299, s300)) | m_main_v_state1(s300, c_t1)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24011, 24010])).
% 9.22/6.88 tff(24013,plain,
% 9.22/6.88 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | m_main_v_state1(s300, c_t1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24012, 651, 24009])).
% 9.22/6.88 tff(24014,plain,
% 9.22/6.88 (m_main_v_state1(s300, c_t1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24013, 23941, 23977])).
% 9.22/6.88 tff(24015,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24016,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24017,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s300, c_n1)) | (~m_main_v_state1(s300, c_t1))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24016, 24015])).
% 9.22/6.88 tff(24018,plain,
% 9.22/6.88 (~m_main_v_state1(s300, c_n1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24017, 10, 24014])).
% 9.22/6.88 tff(24019,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s300, c_n1) | (~node11(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s300, c_n1) | (~node11(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24020,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s300, c_n1) | (~node11(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24021,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s300, c_n1) | (~node11(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 9.22/6.88 tff(24022,plain,
% 9.22/6.88 (~node11(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24021, 238, 24018])).
% 9.22/6.88 tff(24023,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24024,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24025,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s300, c_t1)) | (~m_main_v_state1(s300, c_c1))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 9.22/6.88 tff(24026,plain,
% 9.22/6.88 (~m_main_v_state1(s300, c_c1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24025, 539, 24014])).
% 9.22/6.88 tff(24027,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s300, c_c1) | (~node10(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s300, c_c1) | (~node10(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24028,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s300, c_c1) | (~node10(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24029,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s300, c_c1) | (~node10(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24028, 24027])).
% 9.22/6.88 tff(24030,plain,
% 9.22/6.88 (~node10(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24029, 675, 24026])).
% 9.22/6.88 tff(24031,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s300, c_n1) | (~node9(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s300, c_n1) | (~node9(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24032,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s300, c_n1) | (~node9(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24033,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s300, c_n1) | (~node9(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 9.22/6.88 tff(24034,plain,
% 9.22/6.88 (~node9(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24033, 686, 24018])).
% 9.22/6.88 tff(24035,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24036,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24037,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s300, c_n2)) | (~m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 9.22/6.88 tff(24038,plain,
% 9.22/6.88 (~m_main_v_state2(s300, c_n2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24037, 697, 23997])).
% 9.22/6.88 tff(24039,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s300, c_n2) | (~node8(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s300, c_n2) | (~node8(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24040,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s300, c_n2) | (~node8(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24041,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s300, c_n2) | (~node8(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24040, 24039])).
% 9.22/6.88 tff(24042,plain,
% 9.22/6.88 (~node8(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24041, 271, 24038])).
% 9.22/6.88 tff(24043,plain,
% 9.22/6.88 (succ(s300, s301) <=> succ(s300, s301)),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24044,axiom,(succ(s300, s301)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound301')).
% 9.22/6.88 tff(24045,plain,
% 9.22/6.88 (succ(s300, s301)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 9.22/6.88 tff(24046,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24047,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24048,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 9.22/6.88 tff(24049,plain,
% 9.22/6.88 (trans(s300, s301)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24048, 24045, 32])).
% 9.22/6.88 tff(24050,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s300, s301)) | node14(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s300, s301)) | node14(s300, s301))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24051,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s300, s301)) | node14(s300, s301))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24052,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s300, s301)) | node14(s300, s301)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24051, 24050])).
% 9.22/6.88 tff(24053,plain,
% 9.22/6.88 (node14(s300, s301)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24052, 46, 24049])).
% 9.22/6.88 tff(24054,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24055,plain,
% 9.22/6.88 (((~m_main_v_state2(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2)) <=> (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24056,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2))))),
% 9.22/6.88 inference(monotonicity,[status(thm)],[24055])).
% 9.22/6.88 tff(24057,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2)))),
% 9.22/6.88 inference(transitivity,[status(thm)],[24056, 24054])).
% 9.22/6.88 tff(24058,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s300, c_c2)) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | m_main_v_state2(s301, c_n2))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24059,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~node14(s300, s301)) | (~m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 9.22/6.88 tff(24060,plain,
% 9.22/6.88 (m_main_v_state2(s301, c_n2) | node9(s300) | node8(s300) | node10(s300) | node11(s300) | node12(s300) | (~m_main_v_state2(s300, c_c2))),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24059, 726, 24053])).
% 9.22/6.88 tff(24061,plain,
% 9.22/6.88 (m_main_v_state2(s301, c_n2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24060, 24042, 23997, 24034, 24030, 24022, 24005])).
% 9.22/6.88 tff(24062,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24063,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24064,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_c2))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 9.22/6.88 tff(24065,plain,
% 9.22/6.88 (~m_main_v_state2(s301, c_c2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24064, 697, 24061])).
% 9.22/6.88 tff(24066,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s301, c_c2) | (~node3(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s301, c_c2) | (~node3(s301)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24067,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s301, c_c2) | (~node3(s301)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24068,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s301, c_c2) | (~node3(s301))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 9.22/6.88 tff(24069,plain,
% 9.22/6.88 (~node3(s301)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24068, 399, 24065])).
% 9.22/6.88 tff(24070,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s300, c_n1) | (~node1(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s300, c_n1) | (~node1(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24071,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s300, c_n1) | (~node1(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24072,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s300, c_n1) | (~node1(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 9.22/6.88 tff(24073,plain,
% 9.22/6.88 (~node1(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24072, 421, 24018])).
% 9.22/6.88 tff(24074,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s300)) | node18(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s300)) | node18(s299, s300))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24075,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s300)) | node18(s299, s300))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24076,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s300)) | node18(s299, s300)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 9.22/6.88 tff(24077,plain,
% 9.22/6.88 (node18(s299, s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24076, 125, 23988])).
% 9.22/6.88 tff(24078,plain,
% 9.22/6.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24079,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24080,plain,
% 9.22/6.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s300)) | m_main_v_turn(s300, c_2)),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24079, 24078])).
% 9.22/6.88 tff(24081,plain,
% 9.22/6.88 ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | m_main_v_turn(s300, c_2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24080, 760, 24077])).
% 9.22/6.88 tff(24082,plain,
% 9.22/6.88 (m_main_v_turn(s300, c_2)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24081, 23941, 23977])).
% 9.22/6.88 tff(24083,plain,
% 9.22/6.88 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24084,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24085,plain,
% 9.22/6.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s300, c_1)) | (~m_main_v_turn(s300, c_2))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 9.22/6.88 tff(24086,plain,
% 9.22/6.88 (~m_main_v_turn(s300, c_1)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24085, 156, 24082])).
% 9.22/6.88 tff(24087,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s300, c_1) | (~node5(s300)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s300, c_1) | (~node5(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24088,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s300, c_1) | (~node5(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24089,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s300, c_1) | (~node5(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24088, 24087])).
% 9.22/6.88 tff(24090,plain,
% 9.22/6.88 (~node5(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24089, 776, 24086])).
% 9.22/6.88 tff(24091,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s300, c_n1) | (~node2(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s300, c_n1) | (~node2(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24092,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s300, c_n1) | (~node2(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24093,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s300, c_n1) | (~node2(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24092, 24091])).
% 9.22/6.88 tff(24094,plain,
% 9.22/6.88 (~node2(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24093, 787, 24018])).
% 9.22/6.88 tff(24095,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s300, c_n1) | (~node3(s300)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s300, c_n1) | (~node3(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.88 tff(24096,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s300, c_n1) | (~node3(s300)))),
% 9.22/6.88 inference(quant_inst,[status(thm)],[])).
% 9.22/6.88 tff(24097,plain,
% 9.22/6.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s300, c_n1) | (~node3(s300))),
% 9.22/6.88 inference(modus_ponens,[status(thm)],[24096, 24095])).
% 9.22/6.88 tff(24098,plain,
% 9.22/6.88 (~node3(s300)),
% 9.22/6.88 inference(unit_resolution,[status(thm)],[24097, 798, 24018])).
% 9.22/6.88 tff(24099,plain,
% 9.22/6.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s300, c_n2) | (~node4(s300)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s300, c_n2) | (~node4(s300)))),
% 9.22/6.88 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24100,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s300, c_n2) | (~node4(s300)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24101,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s300, c_n2) | (~node4(s300))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 9.22/6.89 tff(24102,plain,
% 9.22/6.89 (~node4(s300)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24101, 388, 24038])).
% 9.22/6.89 tff(24103,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s300, s301)) | node7(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s300, s301)) | node7(s300, s301))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24104,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s300, s301)) | node7(s300, s301))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24105,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s300, s301)) | node7(s300, s301)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 9.22/6.89 tff(24106,plain,
% 9.22/6.89 (node7(s300, s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24105, 206, 24049])).
% 9.22/6.89 tff(24107,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24108,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24109,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301) | (~node7(s300, s301))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 9.22/6.89 tff(24110,plain,
% 9.22/6.89 (m_main_v_state1(s300, c_c1) | node1(s300) | node2(s300) | node3(s300) | node4(s300) | node5(s300) | node6(s300, s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24109, 820, 24106])).
% 9.22/6.89 tff(24111,plain,
% 9.22/6.89 (node6(s300, s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24110, 24102, 24026, 24098, 24094, 24090, 24073])).
% 9.22/6.89 tff(24112,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24113,plain,
% 9.22/6.89 (((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1))) <=> (m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24114,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301))))),
% 9.22/6.89 inference(monotonicity,[status(thm)],[24113])).
% 9.22/6.89 tff(24115,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301)))),
% 9.22/6.89 inference(transitivity,[status(thm)],[24114, 24112])).
% 9.22/6.89 tff(24116,plain,
% 9.22/6.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s300, s301)) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24117,plain,
% 9.22/6.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s300, c_n1) | (~m_main_v_state1(s301, c_n1)) | (~node6(s300, s301))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 9.22/6.89 tff(24118,plain,
% 9.22/6.89 (~m_main_v_state1(s301, c_n1)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24117, 835, 24018, 24111])).
% 9.22/6.89 tff(24119,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s301, c_n1) | (~node2(s301)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s301, c_n1) | (~node2(s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24120,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s301, c_n1) | (~node2(s301)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24121,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s301, c_n1) | (~node2(s301))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 9.22/6.89 tff(24122,plain,
% 9.22/6.89 (~node2(s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24121, 787, 24118])).
% 9.22/6.89 tff(24123,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24124,plain,
% 9.22/6.89 (((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1)) <=> ((~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24125,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301))))),
% 9.22/6.89 inference(monotonicity,[status(thm)],[24124])).
% 9.22/6.89 tff(24126,plain,
% 9.22/6.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301)))),
% 9.22/6.89 inference(transitivity,[status(thm)],[24125, 24123])).
% 9.22/6.89 tff(24127,plain,
% 9.22/6.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s300, s301)) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24128,plain,
% 9.22/6.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s300, c_t1)) | m_main_v_state1(s301, c_t1) | (~node6(s300, s301))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24127, 24126])).
% 9.22/6.89 tff(24129,plain,
% 9.22/6.89 (m_main_v_state1(s301, c_t1)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24128, 856, 24014, 24111])).
% 9.22/6.89 tff(24130,plain,
% 9.22/6.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24131,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24132,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s301, c_n2)) | (~m_main_v_state2(s301, c_t2))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 9.22/6.89 tff(24133,plain,
% 9.22/6.89 (~m_main_v_state2(s301, c_t2)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24132, 77, 24061])).
% 9.22/6.89 tff(24134,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s301, c_t2) | (~node1(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s301, c_t2) | (~node1(s301)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24135,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s301, c_t2) | (~node1(s301)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24136,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s301, c_t2) | (~node1(s301))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24135, 24134])).
% 9.22/6.89 tff(24137,plain,
% 9.22/6.89 (~node1(s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24136, 195, 24133])).
% 9.22/6.89 tff(24138,plain,
% 9.22/6.89 (succ(s301, s302) <=> succ(s301, s302)),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24139,axiom,(succ(s301, s302)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound302')).
% 9.22/6.89 tff(24140,plain,
% 9.22/6.89 (succ(s301, s302)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 9.22/6.89 tff(24141,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24142,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24143,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24142, 24141])).
% 9.22/6.89 tff(24144,plain,
% 9.22/6.89 (trans(s301, s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24143, 24140, 32])).
% 9.22/6.89 tff(24145,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s301, s302)) | node7(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s301, s302)) | node7(s301, s302))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24146,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s301, s302)) | node7(s301, s302))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24147,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s301, s302)) | node7(s301, s302)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 9.22/6.89 tff(24148,plain,
% 9.22/6.89 (node7(s301, s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24147, 206, 24144])).
% 9.22/6.89 tff(24149,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24150,plain,
% 9.22/6.89 (((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1)) <=> ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24151,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302))))),
% 9.22/6.89 inference(monotonicity,[status(thm)],[24150])).
% 9.22/6.89 tff(24152,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)))),
% 9.22/6.89 inference(transitivity,[status(thm)],[24151, 24149])).
% 9.22/6.89 tff(24153,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302)) | m_main_v_state1(s302, c_c1))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24154,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301) | (~node7(s301, s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24153, 24152])).
% 9.22/6.89 tff(24155,plain,
% 9.22/6.89 ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state1(s302, c_c1) | node1(s301) | node2(s301) | node3(s301)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24154, 892, 24148])).
% 9.22/6.89 tff(24156,plain,
% 9.22/6.89 (m_main_v_state1(s302, c_c1)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24155, 24137, 24061, 24129, 24122, 24069])).
% 9.22/6.89 tff(24157,plain,
% 9.22/6.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24158,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24159,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_t1)) | (~m_main_v_state1(s302, c_c1))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 9.22/6.89 tff(24160,plain,
% 9.22/6.89 (~m_main_v_state1(s302, c_t1)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24159, 539, 24156])).
% 9.22/6.89 tff(24161,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s302, c_t1) | (~node5(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s302, c_t1) | (~node5(s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24162,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s302, c_t1) | (~node5(s302)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24163,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s302, c_t1) | (~node5(s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 9.22/6.89 tff(24164,plain,
% 9.22/6.89 (~node5(s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24163, 550, 24160])).
% 9.22/6.89 tff(24165,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s301, s302)) | node14(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s301, s302)) | node14(s301, s302))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24166,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s301, s302)) | node14(s301, s302))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24167,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s301, s302)) | node14(s301, s302)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 9.22/6.89 tff(24168,plain,
% 9.22/6.89 (node14(s301, s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24167, 46, 24144])).
% 9.22/6.89 tff(24169,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24170,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24171,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | (~node14(s301, s302)) | m_main_v_state2(s302, c_t2)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 9.22/6.89 tff(24172,plain,
% 9.22/6.89 ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_state2(s302, c_t2)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24171, 922, 24168])).
% 9.22/6.89 tff(24173,plain,
% 9.22/6.89 (m_main_v_state2(s302, c_t2)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24172, 24129, 24061])).
% 9.22/6.89 tff(24174,plain,
% 9.22/6.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24175,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24176,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s302, c_n2)) | (~m_main_v_state2(s302, c_t2))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 9.22/6.89 tff(24177,plain,
% 9.22/6.89 (~m_main_v_state2(s302, c_n2)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24176, 77, 24173])).
% 9.22/6.89 tff(24178,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s302, c_n2) | (~node4(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s302, c_n2) | (~node4(s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24179,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s302, c_n2) | (~node4(s302)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24180,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s302, c_n2) | (~node4(s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24179, 24178])).
% 9.22/6.89 tff(24181,plain,
% 9.22/6.89 (~node4(s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24180, 388, 24177])).
% 9.22/6.89 tff(24182,plain,
% 9.22/6.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24183,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24184,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s302, c_t2)) | (~m_main_v_state2(s302, c_c2))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 9.22/6.89 tff(24185,plain,
% 9.22/6.89 (~m_main_v_state2(s302, c_c2)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24184, 260, 24173])).
% 9.22/6.89 tff(24186,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s302, c_c2) | (~node3(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s302, c_c2) | (~node3(s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24187,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s302, c_c2) | (~node3(s302)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24188,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s302, c_c2) | (~node3(s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24187, 24186])).
% 9.22/6.89 tff(24189,plain,
% 9.22/6.89 (~node3(s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24188, 399, 24185])).
% 9.22/6.89 tff(24190,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s302, c_n2) | (~node2(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s302, c_n2) | (~node2(s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24191,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s302, c_n2) | (~node2(s302)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24192,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s302, c_n2) | (~node2(s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 9.22/6.89 tff(24193,plain,
% 9.22/6.89 (~node2(s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24192, 410, 24177])).
% 9.22/6.89 tff(24194,plain,
% 9.22/6.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24195,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24196,plain,
% 9.22/6.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s302, c_n1)) | (~m_main_v_state1(s302, c_c1))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24195, 24194])).
% 9.22/6.89 tff(24197,plain,
% 9.22/6.89 (~m_main_v_state1(s302, c_n1)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24196, 454, 24156])).
% 9.22/6.89 tff(24198,plain,
% 9.22/6.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s302, c_n1) | (~node1(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s302, c_n1) | (~node1(s302)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24199,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s302, c_n1) | (~node1(s302)))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24200,plain,
% 9.22/6.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s302, c_n1) | (~node1(s302))),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24199, 24198])).
% 9.22/6.89 tff(24201,plain,
% 9.22/6.89 (~node1(s302)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24200, 421, 24197])).
% 9.22/6.89 tff(24202,plain,
% 9.22/6.89 (succ(s302, s303) <=> succ(s302, s303)),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24203,axiom,(succ(s302, s303)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound303')).
% 9.22/6.89 tff(24204,plain,
% 9.22/6.89 (succ(s302, s303)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 9.22/6.89 tff(24205,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24206,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24207,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 9.22/6.89 tff(24208,plain,
% 9.22/6.89 (trans(s302, s303)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24207, 24204, 32])).
% 9.22/6.89 tff(24209,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s302, s303)) | node7(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s302, s303)) | node7(s302, s303))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24210,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s302, s303)) | node7(s302, s303))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24211,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s302, s303)) | node7(s302, s303)),
% 9.22/6.89 inference(modus_ponens,[status(thm)],[24210, 24209])).
% 9.22/6.89 tff(24212,plain,
% 9.22/6.89 (node7(s302, s303)),
% 9.22/6.89 inference(unit_resolution,[status(thm)],[24211, 206, 24208])).
% 9.22/6.89 tff(24213,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24214,plain,
% 9.22/6.89 (((~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1)) <=> (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 9.22/6.89 inference(rewrite,[status(thm)],[])).
% 9.22/6.89 tff(24215,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303))))),
% 9.22/6.89 inference(monotonicity,[status(thm)],[24214])).
% 9.22/6.89 tff(24216,plain,
% 9.22/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)))),
% 9.22/6.89 inference(transitivity,[status(thm)],[24215, 24213])).
% 9.22/6.89 tff(24217,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303)) | m_main_v_state1(s303, c_n1))),
% 9.22/6.89 inference(quant_inst,[status(thm)],[])).
% 9.22/6.89 tff(24218,plain,
% 9.22/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302) | (~node7(s302, s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 9.22/6.90 tff(24219,plain,
% 9.22/6.90 (m_main_v_state1(s303, c_n1) | (~m_main_v_state1(s302, c_c1)) | node1(s302) | node2(s302) | node3(s302) | node4(s302) | node5(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24218, 584, 24212])).
% 9.22/6.90 tff(24220,plain,
% 9.22/6.90 (m_main_v_state1(s303, c_n1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24219, 24201, 24156, 24193, 24189, 24181, 24164])).
% 9.22/6.90 tff(24221,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s301, c_t2) | (~node15(s301)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s301, c_t2) | (~node15(s301)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24222,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s301, c_t2) | (~node15(s301)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24223,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s301, c_t2) | (~node15(s301))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 9.22/6.90 tff(24224,plain,
% 9.22/6.90 (~node15(s301)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24223, 103, 24133])).
% 9.22/6.90 tff(24225,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s301, s302)) | node18(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s301, s302)) | node18(s301, s302))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24226,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s301, s302)) | node18(s301, s302))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24227,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s301, s302)) | node18(s301, s302)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 9.22/6.90 tff(24228,plain,
% 9.22/6.90 (node18(s301, s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24227, 125, 24144])).
% 9.22/6.90 tff(24229,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24230,plain,
% 9.22/6.90 (((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1)) <=> (node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24231,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)))),
% 9.22/6.90 inference(monotonicity,[status(thm)],[24230])).
% 9.22/6.90 tff(24232,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1))),
% 9.22/6.90 inference(transitivity,[status(thm)],[24231, 24229])).
% 9.22/6.90 tff(24233,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | node15(s301) | (~node18(s301, s302)) | m_main_v_turn(s302, c_1))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24234,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s301) | (~node18(s301, s302)) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 9.22/6.90 tff(24235,plain,
% 9.22/6.90 (node15(s301) | (~m_main_v_state1(s301, c_t1)) | (~m_main_v_state2(s301, c_n2)) | m_main_v_turn(s302, c_1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24234, 992, 24228])).
% 9.22/6.90 tff(24236,plain,
% 9.22/6.90 (m_main_v_turn(s302, c_1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24235, 24224, 24061, 24129])).
% 9.22/6.90 tff(24237,plain,
% 9.22/6.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24238,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24239,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s302, c_1)) | (~m_main_v_turn(s302, c_2))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24238, 24237])).
% 9.22/6.90 tff(24240,plain,
% 9.22/6.90 (~m_main_v_turn(s302, c_2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24239, 156, 24236])).
% 9.22/6.90 tff(24241,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s302, c_2) | (~node12(s302)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s302, c_2) | (~node12(s302)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24242,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s302, c_2) | (~node12(s302)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24243,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s302, c_2) | (~node12(s302))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24242, 24241])).
% 9.22/6.90 tff(24244,plain,
% 9.22/6.90 (~node12(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24243, 184, 24240])).
% 9.22/6.90 tff(24245,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s302, c_n2) | (~node8(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s302, c_n2) | (~node8(s302)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24246,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s302, c_n2) | (~node8(s302)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24247,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s302, c_n2) | (~node8(s302))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24246, 24245])).
% 9.22/6.90 tff(24248,plain,
% 9.22/6.90 (~node8(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24247, 271, 24177])).
% 9.22/6.90 tff(24249,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s302, c_n2) | (~node9(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s302, c_n2) | (~node9(s302)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24250,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s302, c_n2) | (~node9(s302)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24251,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s302, c_n2) | (~node9(s302))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 9.22/6.90 tff(24252,plain,
% 9.22/6.90 (~node9(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24251, 88, 24177])).
% 9.22/6.90 tff(24253,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s302, c_n2) | (~node10(s302)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s302, c_n2) | (~node10(s302)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24254,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s302, c_n2) | (~node10(s302)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24255,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s302, c_n2) | (~node10(s302))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24254, 24253])).
% 9.22/6.90 tff(24256,plain,
% 9.22/6.90 (~node10(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24255, 249, 24177])).
% 9.22/6.90 tff(24257,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s302, c_n1) | (~node11(s302)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s302, c_n1) | (~node11(s302)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24258,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s302, c_n1) | (~node11(s302)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24259,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s302, c_n1) | (~node11(s302))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 9.22/6.90 tff(24260,plain,
% 9.22/6.90 (~node11(s302)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24259, 238, 24197])).
% 9.22/6.90 tff(24261,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s302, s303)) | node14(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s302, s303)) | node14(s302, s303))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24262,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s302, s303)) | node14(s302, s303))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24263,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s302, s303)) | node14(s302, s303)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 9.22/6.90 tff(24264,plain,
% 9.22/6.90 (node14(s302, s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24263, 46, 24208])).
% 9.22/6.90 tff(24265,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24266,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24267,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303) | (~node14(s302, s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 9.22/6.90 tff(24268,plain,
% 9.22/6.90 (m_main_v_state2(s302, c_c2) | node9(s302) | node8(s302) | node10(s302) | node11(s302) | node12(s302) | node13(s302, s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24267, 296, 24264])).
% 9.22/6.90 tff(24269,plain,
% 9.22/6.90 (node13(s302, s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24268, 24260, 24185, 24256, 24252, 24248, 24244])).
% 9.22/6.90 tff(24270,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24271,plain,
% 9.22/6.90 (((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2)) <=> ((~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24272,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303))))),
% 9.22/6.90 inference(monotonicity,[status(thm)],[24271])).
% 9.22/6.90 tff(24273,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303)))),
% 9.22/6.90 inference(transitivity,[status(thm)],[24272, 24270])).
% 9.22/6.90 tff(24274,plain,
% 9.22/6.90 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s302, s303)) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24275,plain,
% 9.22/6.90 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s302, c_t2)) | m_main_v_state2(s303, c_t2) | (~node13(s302, s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 9.22/6.90 tff(24276,plain,
% 9.22/6.90 (m_main_v_state2(s303, c_t2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24275, 518, 24173, 24269])).
% 9.22/6.90 tff(24277,plain,
% 9.22/6.90 (succ(s303, s304) <=> succ(s303, s304)),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24278,axiom,(succ(s303, s304)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound304')).
% 9.22/6.90 tff(24279,plain,
% 9.22/6.90 (succ(s303, s304)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24278, 24277])).
% 9.22/6.90 tff(24280,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24281,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24282,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 9.22/6.90 tff(24283,plain,
% 9.22/6.90 (trans(s303, s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24282, 24279, 32])).
% 9.22/6.90 tff(24284,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s303, s304)) | node7(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s303, s304)) | node7(s303, s304))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24285,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s303, s304)) | node7(s303, s304))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24286,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s303, s304)) | node7(s303, s304)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 9.22/6.90 tff(24287,plain,
% 9.22/6.90 (node7(s303, s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24286, 206, 24283])).
% 9.22/6.90 tff(24288,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24289,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24290,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node7(s303, s304)) | m_main_v_state1(s304, c_t1)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 9.22/6.90 tff(24291,plain,
% 9.22/6.90 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | m_main_v_state1(s304, c_t1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24290, 651, 24287])).
% 9.22/6.90 tff(24292,plain,
% 9.22/6.90 (m_main_v_state1(s304, c_t1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24291, 24276, 24220])).
% 9.22/6.90 tff(24293,plain,
% 9.22/6.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24294,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24295,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s304, c_n1)) | (~m_main_v_state1(s304, c_t1))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 9.22/6.90 tff(24296,plain,
% 9.22/6.90 (~m_main_v_state1(s304, c_n1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24295, 10, 24292])).
% 9.22/6.90 tff(24297,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s304, c_n1) | (~node1(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s304, c_n1) | (~node1(s304)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24298,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s304, c_n1) | (~node1(s304)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24299,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s304, c_n1) | (~node1(s304))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24298, 24297])).
% 9.22/6.90 tff(24300,plain,
% 9.22/6.90 (~node1(s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24299, 421, 24296])).
% 9.22/6.90 tff(24301,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s303, s304)) | node18(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s303, s304)) | node18(s303, s304))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24302,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s303, s304)) | node18(s303, s304))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24303,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s303, s304)) | node18(s303, s304)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24302, 24301])).
% 9.22/6.90 tff(24304,plain,
% 9.22/6.90 (node18(s303, s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24303, 125, 24283])).
% 9.22/6.90 tff(24305,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24306,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24307,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | (~node18(s303, s304)) | m_main_v_turn(s304, c_2)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24306, 24305])).
% 9.22/6.90 tff(24308,plain,
% 9.22/6.90 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | m_main_v_turn(s304, c_2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24307, 760, 24304])).
% 9.22/6.90 tff(24309,plain,
% 9.22/6.90 (m_main_v_turn(s304, c_2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24308, 24276, 24220])).
% 9.22/6.90 tff(24310,plain,
% 9.22/6.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24311,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24312,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s304, c_1)) | (~m_main_v_turn(s304, c_2))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 9.22/6.90 tff(24313,plain,
% 9.22/6.90 (~m_main_v_turn(s304, c_1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24312, 156, 24309])).
% 9.22/6.90 tff(24314,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s304, c_1) | (~node5(s304)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s304, c_1) | (~node5(s304)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24315,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s304, c_1) | (~node5(s304)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24316,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s304, c_1) | (~node5(s304))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 9.22/6.90 tff(24317,plain,
% 9.22/6.90 (~node5(s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24316, 776, 24313])).
% 9.22/6.90 tff(24318,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s304, c_n1) | (~node2(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s304, c_n1) | (~node2(s304)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24319,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s304, c_n1) | (~node2(s304)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24320,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s304, c_n1) | (~node2(s304))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 9.22/6.90 tff(24321,plain,
% 9.22/6.90 (~node2(s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24320, 787, 24296])).
% 9.22/6.90 tff(24322,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s304, c_n1) | (~node3(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s304, c_n1) | (~node3(s304)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24323,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s304, c_n1) | (~node3(s304)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24324,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s304, c_n1) | (~node3(s304))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 9.22/6.90 tff(24325,plain,
% 9.22/6.90 (~node3(s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24324, 798, 24296])).
% 9.22/6.90 tff(24326,plain,
% 9.22/6.90 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24327,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24328,plain,
% 9.22/6.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s304, c_t1)) | (~m_main_v_state1(s304, c_c1))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 9.22/6.90 tff(24329,plain,
% 9.22/6.90 (~m_main_v_state1(s304, c_c1)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24328, 539, 24292])).
% 9.22/6.90 tff(24330,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24331,plain,
% 9.22/6.90 (((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2))) <=> (m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24332,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303))))),
% 9.22/6.90 inference(monotonicity,[status(thm)],[24331])).
% 9.22/6.90 tff(24333,plain,
% 9.22/6.90 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303)))),
% 9.22/6.90 inference(transitivity,[status(thm)],[24332, 24330])).
% 9.22/6.90 tff(24334,plain,
% 9.22/6.90 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s302, s303)) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24335,plain,
% 9.22/6.90 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s302, c_n2) | (~m_main_v_state2(s303, c_n2)) | (~node13(s302, s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 9.22/6.90 tff(24336,plain,
% 9.22/6.90 (~m_main_v_state2(s303, c_n2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24335, 311, 24177, 24269])).
% 9.22/6.90 tff(24337,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s303, c_n2) | (~node9(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s303, c_n2) | (~node9(s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24338,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s303, c_n2) | (~node9(s303)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24339,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s303, c_n2) | (~node9(s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 9.22/6.90 tff(24340,plain,
% 9.22/6.90 (~node9(s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24339, 88, 24336])).
% 9.22/6.90 tff(24341,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s303, c_n2) | (~node10(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s303, c_n2) | (~node10(s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24342,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s303, c_n2) | (~node10(s303)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24343,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s303, c_n2) | (~node10(s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 9.22/6.90 tff(24344,plain,
% 9.22/6.90 (~node10(s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24343, 249, 24336])).
% 9.22/6.90 tff(24345,plain,
% 9.22/6.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s303, c_n2) | (~node8(s303)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s303, c_n2) | (~node8(s303)))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24346,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s303, c_n2) | (~node8(s303)))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24347,plain,
% 9.22/6.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s303, c_n2) | (~node8(s303))),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 9.22/6.90 tff(24348,plain,
% 9.22/6.90 (~node8(s303)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24347, 271, 24336])).
% 9.22/6.90 tff(24349,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s303, s304)) | node14(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s303, s304)) | node14(s303, s304))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24350,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s303, s304)) | node14(s303, s304))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24351,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s303, s304)) | node14(s303, s304)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 9.22/6.90 tff(24352,plain,
% 9.22/6.90 (node14(s303, s304)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24351, 46, 24283])).
% 9.22/6.90 tff(24353,plain,
% 9.22/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2))),
% 9.22/6.90 inference(rewrite,[status(thm)],[])).
% 9.22/6.90 tff(24354,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2))),
% 9.22/6.90 inference(quant_inst,[status(thm)],[])).
% 9.22/6.90 tff(24355,plain,
% 9.22/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | (~node14(s303, s304)) | m_main_v_state2(s304, c_c2)),
% 9.22/6.90 inference(modus_ponens,[status(thm)],[24354, 24353])).
% 9.22/6.90 tff(24356,plain,
% 9.22/6.90 ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state2(s303, c_t2)) | node9(s303) | node8(s303) | node10(s303) | m_main_v_state2(s304, c_c2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24355, 617, 24352])).
% 9.22/6.90 tff(24357,plain,
% 9.22/6.90 (m_main_v_state2(s304, c_c2)),
% 9.22/6.90 inference(unit_resolution,[status(thm)],[24356, 24348, 24220, 24276, 24344, 24340])).
% 9.22/6.90 tff(24358,plain,
% 9.22/6.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24359,plain,
% 9.22/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24360,plain,
% 9.22/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_n2)) | (~m_main_v_state2(s304, c_c2))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24359, 24358])).
% 9.22/6.91 tff(24361,plain,
% 9.22/6.91 (~m_main_v_state2(s304, c_n2)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24360, 697, 24357])).
% 9.22/6.91 tff(24362,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s304, c_n2) | (~node4(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s304, c_n2) | (~node4(s304)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24363,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s304, c_n2) | (~node4(s304)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24364,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s304, c_n2) | (~node4(s304))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 9.22/6.91 tff(24365,plain,
% 9.22/6.91 (~node4(s304)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24364, 388, 24361])).
% 9.22/6.91 tff(24366,plain,
% 9.22/6.91 (succ(s304, s305) <=> succ(s304, s305)),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24367,axiom,(succ(s304, s305)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound305')).
% 9.22/6.91 tff(24368,plain,
% 9.22/6.91 (succ(s304, s305)),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24367, 24366])).
% 9.22/6.91 tff(24369,plain,
% 9.22/6.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24370,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24371,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305)),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 9.22/6.91 tff(24372,plain,
% 9.22/6.91 (trans(s304, s305)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24371, 24368, 32])).
% 9.22/6.91 tff(24373,plain,
% 9.22/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s304, s305)) | node7(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s304, s305)) | node7(s304, s305))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24374,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s304, s305)) | node7(s304, s305))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24375,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s304, s305)) | node7(s304, s305)),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24374, 24373])).
% 9.22/6.91 tff(24376,plain,
% 9.22/6.91 (node7(s304, s305)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24375, 206, 24372])).
% 9.22/6.91 tff(24377,plain,
% 9.22/6.91 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24378,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24379,plain,
% 9.22/6.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305) | (~node7(s304, s305))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24378, 24377])).
% 9.22/6.91 tff(24380,plain,
% 9.22/6.91 (m_main_v_state1(s304, c_c1) | node1(s304) | node2(s304) | node3(s304) | node4(s304) | node5(s304) | node6(s304, s305)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24379, 820, 24376])).
% 9.22/6.91 tff(24381,plain,
% 9.22/6.91 (node6(s304, s305)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24380, 24365, 24329, 24325, 24321, 24317, 24300])).
% 9.22/6.91 tff(24382,plain,
% 9.22/6.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24383,plain,
% 9.22/6.91 (((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1)) <=> ((~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24384,plain,
% 9.22/6.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305))))),
% 9.22/6.91 inference(monotonicity,[status(thm)],[24383])).
% 9.22/6.91 tff(24385,plain,
% 9.22/6.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305)))),
% 9.22/6.91 inference(transitivity,[status(thm)],[24384, 24382])).
% 9.22/6.91 tff(24386,plain,
% 9.22/6.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s304, s305)) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24387,plain,
% 9.22/6.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s304, c_t1)) | m_main_v_state1(s305, c_t1) | (~node6(s304, s305))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24386, 24385])).
% 9.22/6.91 tff(24388,plain,
% 9.22/6.91 (m_main_v_state1(s305, c_t1)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24387, 856, 24292, 24381])).
% 9.22/6.91 tff(24389,plain,
% 9.22/6.91 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24390,plain,
% 9.22/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24391,plain,
% 9.22/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s304, c_t2)) | (~m_main_v_state2(s304, c_c2))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 9.22/6.91 tff(24392,plain,
% 9.22/6.91 (~m_main_v_state2(s304, c_t2)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24391, 260, 24357])).
% 9.22/6.91 tff(24393,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s304, c_t2) | (~node12(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s304, c_t2) | (~node12(s304)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24394,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s304, c_t2) | (~node12(s304)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24395,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s304, c_t2) | (~node12(s304))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24394, 24393])).
% 9.22/6.91 tff(24396,plain,
% 9.22/6.91 (~node12(s304)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24395, 633, 24392])).
% 9.22/6.91 tff(24397,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s304, c_n1) | (~node11(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s304, c_n1) | (~node11(s304)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24398,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s304, c_n1) | (~node11(s304)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24399,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s304, c_n1) | (~node11(s304))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 9.22/6.91 tff(24400,plain,
% 9.22/6.91 (~node11(s304)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24399, 238, 24296])).
% 9.22/6.91 tff(24401,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s304, c_c1) | (~node10(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s304, c_c1) | (~node10(s304)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24402,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s304, c_c1) | (~node10(s304)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24403,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s304, c_c1) | (~node10(s304))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 9.22/6.91 tff(24404,plain,
% 9.22/6.91 (~node10(s304)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24403, 675, 24329])).
% 9.22/6.91 tff(24405,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s304, c_n1) | (~node9(s304)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s304, c_n1) | (~node9(s304)))),
% 9.22/6.91 inference(rewrite,[status(thm)],[])).
% 9.22/6.91 tff(24406,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s304, c_n1) | (~node9(s304)))),
% 9.22/6.91 inference(quant_inst,[status(thm)],[])).
% 9.22/6.91 tff(24407,plain,
% 9.22/6.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s304, c_n1) | (~node9(s304))),
% 9.22/6.91 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 9.22/6.91 tff(24408,plain,
% 9.22/6.91 (~node9(s304)),
% 9.22/6.91 inference(unit_resolution,[status(thm)],[24407, 686, 24296])).
% 9.22/6.91 tff(24409,plain,
% 9.22/6.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s304, c_n2) | (~node8(s304)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s304, c_n2) | (~node8(s304)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24410,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s304, c_n2) | (~node8(s304)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24411,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s304, c_n2) | (~node8(s304))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 9.28/6.91 tff(24412,plain,
% 9.28/6.91 (~node8(s304)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24411, 271, 24361])).
% 9.28/6.91 tff(24413,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s304, s305)) | node14(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s304, s305)) | node14(s304, s305))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24414,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s304, s305)) | node14(s304, s305))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24415,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s304, s305)) | node14(s304, s305)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 9.28/6.91 tff(24416,plain,
% 9.28/6.91 (node14(s304, s305)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24415, 46, 24372])).
% 9.28/6.91 tff(24417,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24418,plain,
% 9.28/6.91 (((~m_main_v_state2(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2)) <=> (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24419,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2))))),
% 9.28/6.91 inference(monotonicity,[status(thm)],[24418])).
% 9.28/6.91 tff(24420,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2)))),
% 9.28/6.91 inference(transitivity,[status(thm)],[24419, 24417])).
% 9.28/6.91 tff(24421,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s304, c_c2)) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | m_main_v_state2(s305, c_n2))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24422,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~node14(s304, s305)) | (~m_main_v_state2(s304, c_c2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24421, 24420])).
% 9.28/6.91 tff(24423,plain,
% 9.28/6.91 (m_main_v_state2(s305, c_n2) | node9(s304) | node8(s304) | node10(s304) | node11(s304) | node12(s304) | (~m_main_v_state2(s304, c_c2))),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24422, 726, 24416])).
% 9.28/6.91 tff(24424,plain,
% 9.28/6.91 (m_main_v_state2(s305, c_n2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24423, 24412, 24357, 24408, 24404, 24400, 24396])).
% 9.28/6.91 tff(24425,plain,
% 9.28/6.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24426,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24427,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_t2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 9.28/6.91 tff(24428,plain,
% 9.28/6.91 (~m_main_v_state2(s305, c_t2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24427, 77, 24424])).
% 9.28/6.91 tff(24429,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s305, c_t2) | (~node15(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s305, c_t2) | (~node15(s305)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24430,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s305, c_t2) | (~node15(s305)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24431,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s305, c_t2) | (~node15(s305))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 9.28/6.91 tff(24432,plain,
% 9.28/6.91 (~node15(s305)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24431, 103, 24428])).
% 9.28/6.91 tff(24433,plain,
% 9.28/6.91 (succ(s305, s306) <=> succ(s305, s306)),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24434,axiom,(succ(s305, s306)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound306')).
% 9.28/6.91 tff(24435,plain,
% 9.28/6.91 (succ(s305, s306)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 9.28/6.91 tff(24436,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24437,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24438,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24437, 24436])).
% 9.28/6.91 tff(24439,plain,
% 9.28/6.91 (trans(s305, s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24438, 24435, 32])).
% 9.28/6.91 tff(24440,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s305, s306)) | node18(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s305, s306)) | node18(s305, s306))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24441,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s305, s306)) | node18(s305, s306))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24442,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s305, s306)) | node18(s305, s306)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24441, 24440])).
% 9.28/6.91 tff(24443,plain,
% 9.28/6.91 (node18(s305, s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24442, 125, 24439])).
% 9.28/6.91 tff(24444,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24445,plain,
% 9.28/6.91 (((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1)) <=> (node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24446,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)))),
% 9.28/6.91 inference(monotonicity,[status(thm)],[24445])).
% 9.28/6.91 tff(24447,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1))),
% 9.28/6.91 inference(transitivity,[status(thm)],[24446, 24444])).
% 9.28/6.91 tff(24448,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node15(s305) | (~node18(s305, s306)) | m_main_v_turn(s306, c_1))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24449,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s305) | (~node18(s305, s306)) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24448, 24447])).
% 9.28/6.91 tff(24450,plain,
% 9.28/6.91 (node15(s305) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_turn(s306, c_1)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24449, 992, 24443])).
% 9.28/6.91 tff(24451,plain,
% 9.28/6.91 (m_main_v_turn(s306, c_1)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24450, 24432, 24424, 24388])).
% 9.28/6.91 tff(24452,plain,
% 9.28/6.91 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24453,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24454,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s306, c_1)) | (~m_main_v_turn(s306, c_2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 9.28/6.91 tff(24455,plain,
% 9.28/6.91 (~m_main_v_turn(s306, c_2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24454, 156, 24451])).
% 9.28/6.91 tff(24456,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s306, c_2) | (~node12(s306)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s306, c_2) | (~node12(s306)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24457,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s306, c_2) | (~node12(s306)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24458,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s306, c_2) | (~node12(s306))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24457, 24456])).
% 9.28/6.91 tff(24459,plain,
% 9.28/6.91 (~node12(s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24458, 184, 24455])).
% 9.28/6.91 tff(24460,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s305, s306)) | node14(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s305, s306)) | node14(s305, s306))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24461,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s305, s306)) | node14(s305, s306))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24462,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s305, s306)) | node14(s305, s306)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24461, 24460])).
% 9.28/6.91 tff(24463,plain,
% 9.28/6.91 (node14(s305, s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24462, 46, 24439])).
% 9.28/6.91 tff(24464,plain,
% 9.28/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24465,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24466,plain,
% 9.28/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | (~node14(s305, s306)) | m_main_v_state2(s306, c_t2)),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 9.28/6.91 tff(24467,plain,
% 9.28/6.91 ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state2(s306, c_t2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24466, 922, 24463])).
% 9.28/6.91 tff(24468,plain,
% 9.28/6.91 (m_main_v_state2(s306, c_t2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24467, 24388, 24424])).
% 9.28/6.91 tff(24469,plain,
% 9.28/6.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24470,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24471,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s306, c_n2)) | (~m_main_v_state2(s306, c_t2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 9.28/6.91 tff(24472,plain,
% 9.28/6.91 (~m_main_v_state2(s306, c_n2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24471, 77, 24468])).
% 9.28/6.91 tff(24473,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s306, c_n2) | (~node8(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s306, c_n2) | (~node8(s306)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24474,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s306, c_n2) | (~node8(s306)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24475,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s306, c_n2) | (~node8(s306))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 9.28/6.91 tff(24476,plain,
% 9.28/6.91 (~node8(s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24475, 271, 24472])).
% 9.28/6.91 tff(24477,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s306, c_n2) | (~node9(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s306, c_n2) | (~node9(s306)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24478,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s306, c_n2) | (~node9(s306)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24479,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s306, c_n2) | (~node9(s306))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 9.28/6.91 tff(24480,plain,
% 9.28/6.91 (~node9(s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24479, 88, 24472])).
% 9.28/6.91 tff(24481,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s306, c_n2) | (~node10(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s306, c_n2) | (~node10(s306)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24482,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s306, c_n2) | (~node10(s306)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24483,plain,
% 9.28/6.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s306, c_n2) | (~node10(s306))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24482, 24481])).
% 9.28/6.91 tff(24484,plain,
% 9.28/6.91 (~node10(s306)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24483, 249, 24472])).
% 9.28/6.91 tff(24485,plain,
% 9.28/6.91 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24486,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24487,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s306, c_t2)) | (~m_main_v_state2(s306, c_c2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24486, 24485])).
% 9.28/6.91 tff(24488,plain,
% 9.28/6.91 (~m_main_v_state2(s306, c_c2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24487, 260, 24468])).
% 9.28/6.91 tff(24489,plain,
% 9.28/6.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))),
% 9.28/6.91 inference(rewrite,[status(thm)],[])).
% 9.28/6.91 tff(24490,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2)))),
% 9.28/6.91 inference(quant_inst,[status(thm)],[])).
% 9.28/6.91 tff(24491,plain,
% 9.28/6.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s305, c_n2)) | (~m_main_v_state2(s305, c_c2))),
% 9.28/6.91 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 9.28/6.91 tff(24492,plain,
% 9.28/6.91 (~m_main_v_state2(s305, c_c2)),
% 9.28/6.91 inference(unit_resolution,[status(thm)],[24491, 697, 24424])).
% 9.28/6.91 tff(24493,plain,
% 9.28/6.91 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s305, c_c2) | (~node3(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s305, c_c2) | (~node3(s305)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24494,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s305, c_c2) | (~node3(s305)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24495,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s305, c_c2) | (~node3(s305))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24494, 24493])).
% 9.28/6.92 tff(24496,plain,
% 9.28/6.92 (~node3(s305)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24495, 399, 24492])).
% 9.28/6.92 tff(24497,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24498,plain,
% 9.28/6.92 (((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1))) <=> (m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24499,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305))))),
% 9.28/6.92 inference(monotonicity,[status(thm)],[24498])).
% 9.28/6.92 tff(24500,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305)))),
% 9.28/6.92 inference(transitivity,[status(thm)],[24499, 24497])).
% 9.28/6.92 tff(24501,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s304, s305)) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24502,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s304, c_n1) | (~m_main_v_state1(s305, c_n1)) | (~node6(s304, s305))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 9.28/6.92 tff(24503,plain,
% 9.28/6.92 (~m_main_v_state1(s305, c_n1)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24502, 835, 24296, 24381])).
% 9.28/6.92 tff(24504,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s305, c_n1) | (~node2(s305)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s305, c_n1) | (~node2(s305)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24505,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s305, c_n1) | (~node2(s305)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24506,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s305, c_n1) | (~node2(s305))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 9.28/6.92 tff(24507,plain,
% 9.28/6.92 (~node2(s305)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24506, 787, 24503])).
% 9.28/6.92 tff(24508,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s305, c_t2) | (~node1(s305)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s305, c_t2) | (~node1(s305)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24509,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s305, c_t2) | (~node1(s305)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24510,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s305, c_t2) | (~node1(s305))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24509, 24508])).
% 9.28/6.92 tff(24511,plain,
% 9.28/6.92 (~node1(s305)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24510, 195, 24428])).
% 9.28/6.92 tff(24512,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s305, s306)) | node7(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s305, s306)) | node7(s305, s306))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24513,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s305, s306)) | node7(s305, s306))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24514,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s305, s306)) | node7(s305, s306)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 9.28/6.92 tff(24515,plain,
% 9.28/6.92 (node7(s305, s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24514, 206, 24439])).
% 9.28/6.92 tff(24516,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24517,plain,
% 9.28/6.92 (((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1)) <=> ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24518,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306))))),
% 9.28/6.92 inference(monotonicity,[status(thm)],[24517])).
% 9.28/6.92 tff(24519,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)))),
% 9.28/6.92 inference(transitivity,[status(thm)],[24518, 24516])).
% 9.28/6.92 tff(24520,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306)) | m_main_v_state1(s306, c_c1))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24521,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305) | (~node7(s305, s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 9.28/6.92 tff(24522,plain,
% 9.28/6.92 ((~m_main_v_state1(s305, c_t1)) | (~m_main_v_state2(s305, c_n2)) | m_main_v_state1(s306, c_c1) | node1(s305) | node2(s305) | node3(s305)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24521, 892, 24515])).
% 9.28/6.92 tff(24523,plain,
% 9.28/6.92 (m_main_v_state1(s306, c_c1)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24522, 24511, 24424, 24388, 24507, 24496])).
% 9.28/6.92 tff(24524,plain,
% 9.28/6.92 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24525,plain,
% 9.28/6.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24526,plain,
% 9.28/6.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_n1)) | (~m_main_v_state1(s306, c_c1))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 9.28/6.92 tff(24527,plain,
% 9.28/6.92 (~m_main_v_state1(s306, c_n1)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24526, 454, 24523])).
% 9.28/6.92 tff(24528,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s306, c_n1) | (~node11(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s306, c_n1) | (~node11(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24529,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s306, c_n1) | (~node11(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24530,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s306, c_n1) | (~node11(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 9.28/6.92 tff(24531,plain,
% 9.28/6.92 (~node11(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24530, 238, 24527])).
% 9.28/6.92 tff(24532,plain,
% 9.28/6.92 (succ(s306, s307) <=> succ(s306, s307)),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24533,axiom,(succ(s306, s307)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound307')).
% 9.28/6.92 tff(24534,plain,
% 9.28/6.92 (succ(s306, s307)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24533, 24532])).
% 9.28/6.92 tff(24535,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24536,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24537,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 9.28/6.92 tff(24538,plain,
% 9.28/6.92 (trans(s306, s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24537, 24534, 32])).
% 9.28/6.92 tff(24539,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s306, s307)) | node14(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s306, s307)) | node14(s306, s307))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24540,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s306, s307)) | node14(s306, s307))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24541,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s306, s307)) | node14(s306, s307)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 9.28/6.92 tff(24542,plain,
% 9.28/6.92 (node14(s306, s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24541, 46, 24538])).
% 9.28/6.92 tff(24543,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24544,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24545,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307) | (~node14(s306, s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 9.28/6.92 tff(24546,plain,
% 9.28/6.92 (m_main_v_state2(s306, c_c2) | node9(s306) | node8(s306) | node10(s306) | node11(s306) | node12(s306) | node13(s306, s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24545, 296, 24542])).
% 9.28/6.92 tff(24547,plain,
% 9.28/6.92 (node13(s306, s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24546, 24531, 24488, 24484, 24480, 24476, 24459])).
% 9.28/6.92 tff(24548,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24549,plain,
% 9.28/6.92 (((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2))) <=> (m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24550,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307))))),
% 9.28/6.92 inference(monotonicity,[status(thm)],[24549])).
% 9.28/6.92 tff(24551,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307)))),
% 9.28/6.92 inference(transitivity,[status(thm)],[24550, 24548])).
% 9.28/6.92 tff(24552,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s306, s307)) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24553,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s306, c_n2) | (~m_main_v_state2(s307, c_n2)) | (~node13(s306, s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 9.28/6.92 tff(24554,plain,
% 9.28/6.92 (~m_main_v_state2(s307, c_n2)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24553, 311, 24472, 24547])).
% 9.28/6.92 tff(24555,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s307, c_n2) | (~node9(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s307, c_n2) | (~node9(s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24556,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s307, c_n2) | (~node9(s307)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24557,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s307, c_n2) | (~node9(s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 9.28/6.92 tff(24558,plain,
% 9.28/6.92 (~node9(s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24557, 88, 24554])).
% 9.28/6.92 tff(24559,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s307, c_n2) | (~node10(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s307, c_n2) | (~node10(s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24560,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s307, c_n2) | (~node10(s307)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24561,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s307, c_n2) | (~node10(s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 9.28/6.92 tff(24562,plain,
% 9.28/6.92 (~node10(s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24561, 249, 24554])).
% 9.28/6.92 tff(24563,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24564,plain,
% 9.28/6.92 (((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2)) <=> ((~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24565,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307))))),
% 9.28/6.92 inference(monotonicity,[status(thm)],[24564])).
% 9.28/6.92 tff(24566,plain,
% 9.28/6.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307)))),
% 9.28/6.92 inference(transitivity,[status(thm)],[24565, 24563])).
% 9.28/6.92 tff(24567,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s306, s307)) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24568,plain,
% 9.28/6.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s306, c_t2)) | m_main_v_state2(s307, c_t2) | (~node13(s306, s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24567, 24566])).
% 9.28/6.92 tff(24569,plain,
% 9.28/6.92 (m_main_v_state2(s307, c_t2)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24568, 518, 24468, 24547])).
% 9.28/6.92 tff(24570,plain,
% 9.28/6.92 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24571,plain,
% 9.28/6.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24572,plain,
% 9.28/6.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s306, c_t1)) | (~m_main_v_state1(s306, c_c1))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 9.28/6.92 tff(24573,plain,
% 9.28/6.92 (~m_main_v_state1(s306, c_t1)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24572, 539, 24523])).
% 9.28/6.92 tff(24574,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s306, c_t1) | (~node5(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s306, c_t1) | (~node5(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24575,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s306, c_t1) | (~node5(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24576,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s306, c_t1) | (~node5(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 9.28/6.92 tff(24577,plain,
% 9.28/6.92 (~node5(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24576, 550, 24573])).
% 9.28/6.92 tff(24578,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s306, c_n2) | (~node4(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s306, c_n2) | (~node4(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24579,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s306, c_n2) | (~node4(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24580,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s306, c_n2) | (~node4(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 9.28/6.92 tff(24581,plain,
% 9.28/6.92 (~node4(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24580, 388, 24472])).
% 9.28/6.92 tff(24582,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s306, c_c2) | (~node3(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s306, c_c2) | (~node3(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24583,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s306, c_c2) | (~node3(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24584,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s306, c_c2) | (~node3(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 9.28/6.92 tff(24585,plain,
% 9.28/6.92 (~node3(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24584, 399, 24488])).
% 9.28/6.92 tff(24586,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s306, c_n2) | (~node2(s306)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s306, c_n2) | (~node2(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24587,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s306, c_n2) | (~node2(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24588,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s306, c_n2) | (~node2(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 9.28/6.92 tff(24589,plain,
% 9.28/6.92 (~node2(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24588, 410, 24472])).
% 9.28/6.92 tff(24590,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s306, c_n1) | (~node1(s306)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s306, c_n1) | (~node1(s306)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24591,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s306, c_n1) | (~node1(s306)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24592,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s306, c_n1) | (~node1(s306))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24591, 24590])).
% 9.28/6.92 tff(24593,plain,
% 9.28/6.92 (~node1(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24592, 421, 24527])).
% 9.28/6.92 tff(24594,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s306, s307)) | node7(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s306, s307)) | node7(s306, s307))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24595,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s306, s307)) | node7(s306, s307))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24596,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s306, s307)) | node7(s306, s307)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24595, 24594])).
% 9.28/6.92 tff(24597,plain,
% 9.28/6.92 (node7(s306, s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24596, 206, 24538])).
% 9.28/6.92 tff(24598,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24599,plain,
% 9.28/6.92 (((~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1)) <=> (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24600,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307))))),
% 9.28/6.92 inference(monotonicity,[status(thm)],[24599])).
% 9.28/6.92 tff(24601,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)))),
% 9.28/6.92 inference(transitivity,[status(thm)],[24600, 24598])).
% 9.28/6.92 tff(24602,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307)) | m_main_v_state1(s307, c_n1))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24603,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306) | (~node7(s306, s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24602, 24601])).
% 9.28/6.92 tff(24604,plain,
% 9.28/6.92 (m_main_v_state1(s307, c_n1) | (~m_main_v_state1(s306, c_c1)) | node1(s306) | node2(s306) | node3(s306) | node4(s306) | node5(s306)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24603, 584, 24597])).
% 9.28/6.92 tff(24605,plain,
% 9.28/6.92 (m_main_v_state1(s307, c_n1)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24604, 24593, 24523, 24589, 24585, 24581, 24577])).
% 9.28/6.92 tff(24606,plain,
% 9.28/6.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s307, c_n2) | (~node8(s307)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s307, c_n2) | (~node8(s307)))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24607,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s307, c_n2) | (~node8(s307)))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24608,plain,
% 9.28/6.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s307, c_n2) | (~node8(s307))),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24607, 24606])).
% 9.28/6.92 tff(24609,plain,
% 9.28/6.92 (~node8(s307)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24608, 271, 24554])).
% 9.28/6.92 tff(24610,plain,
% 9.28/6.92 (succ(s307, s308) <=> succ(s307, s308)),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24611,axiom,(succ(s307, s308)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound308')).
% 9.28/6.92 tff(24612,plain,
% 9.28/6.92 (succ(s307, s308)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24611, 24610])).
% 9.28/6.92 tff(24613,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308))),
% 9.28/6.92 inference(rewrite,[status(thm)],[])).
% 9.28/6.92 tff(24614,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))),
% 9.28/6.92 inference(quant_inst,[status(thm)],[])).
% 9.28/6.92 tff(24615,plain,
% 9.28/6.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308)),
% 9.28/6.92 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 9.28/6.92 tff(24616,plain,
% 9.28/6.92 (trans(s307, s308)),
% 9.28/6.92 inference(unit_resolution,[status(thm)],[24615, 24612, 32])).
% 9.28/6.92 tff(24617,plain,
% 9.28/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s307, s308)) | node14(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s307, s308)) | node14(s307, s308))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24618,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s307, s308)) | node14(s307, s308))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24619,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s307, s308)) | node14(s307, s308)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 9.28/6.93 tff(24620,plain,
% 9.28/6.93 (node14(s307, s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24619, 46, 24616])).
% 9.28/6.93 tff(24621,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24622,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24623,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | (~node14(s307, s308)) | m_main_v_state2(s308, c_c2)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 9.28/6.93 tff(24624,plain,
% 9.28/6.93 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | node9(s307) | node8(s307) | node10(s307) | m_main_v_state2(s308, c_c2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24623, 617, 24620])).
% 9.28/6.93 tff(24625,plain,
% 9.28/6.93 (m_main_v_state2(s308, c_c2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24624, 24609, 24605, 24569, 24562, 24558])).
% 9.28/6.93 tff(24626,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24627,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24628,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_t2)) | (~m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 9.28/6.93 tff(24629,plain,
% 9.28/6.93 (~m_main_v_state2(s308, c_t2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24628, 260, 24625])).
% 9.28/6.93 tff(24630,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s308, c_t2) | (~node12(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s308, c_t2) | (~node12(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24631,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s308, c_t2) | (~node12(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24632,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s308, c_t2) | (~node12(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 9.28/6.93 tff(24633,plain,
% 9.28/6.93 (~node12(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24632, 633, 24629])).
% 9.28/6.93 tff(24634,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s307, s308)) | node7(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s307, s308)) | node7(s307, s308))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24635,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s307, s308)) | node7(s307, s308))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24636,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s307, s308)) | node7(s307, s308)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 9.28/6.93 tff(24637,plain,
% 9.28/6.93 (node7(s307, s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24636, 206, 24616])).
% 9.28/6.93 tff(24638,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24639,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24640,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node7(s307, s308)) | m_main_v_state1(s308, c_t1)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24639, 24638])).
% 9.28/6.93 tff(24641,plain,
% 9.28/6.93 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | m_main_v_state1(s308, c_t1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24640, 651, 24637])).
% 9.28/6.93 tff(24642,plain,
% 9.28/6.93 (m_main_v_state1(s308, c_t1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24641, 24569, 24605])).
% 9.28/6.93 tff(24643,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24644,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24645,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s308, c_n1)) | (~m_main_v_state1(s308, c_t1))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 9.28/6.93 tff(24646,plain,
% 9.28/6.93 (~m_main_v_state1(s308, c_n1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24645, 10, 24642])).
% 9.28/6.93 tff(24647,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s308, c_n1) | (~node11(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s308, c_n1) | (~node11(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24648,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s308, c_n1) | (~node11(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24649,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s308, c_n1) | (~node11(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 9.28/6.93 tff(24650,plain,
% 9.28/6.93 (~node11(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24649, 238, 24646])).
% 9.28/6.93 tff(24651,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24652,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24653,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s308, c_t1)) | (~m_main_v_state1(s308, c_c1))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 9.28/6.93 tff(24654,plain,
% 9.28/6.93 (~m_main_v_state1(s308, c_c1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24653, 539, 24642])).
% 9.28/6.93 tff(24655,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s308, c_c1) | (~node10(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s308, c_c1) | (~node10(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24656,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s308, c_c1) | (~node10(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24657,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s308, c_c1) | (~node10(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 9.28/6.93 tff(24658,plain,
% 9.28/6.93 (~node10(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24657, 675, 24654])).
% 9.28/6.93 tff(24659,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s308, c_n1) | (~node9(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s308, c_n1) | (~node9(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24660,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s308, c_n1) | (~node9(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24661,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s308, c_n1) | (~node9(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 9.28/6.93 tff(24662,plain,
% 9.28/6.93 (~node9(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24661, 686, 24646])).
% 9.28/6.93 tff(24663,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24664,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24665,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s308, c_n2)) | (~m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 9.28/6.93 tff(24666,plain,
% 9.28/6.93 (~m_main_v_state2(s308, c_n2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24665, 697, 24625])).
% 9.28/6.93 tff(24667,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s308, c_n2) | (~node8(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s308, c_n2) | (~node8(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24668,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s308, c_n2) | (~node8(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24669,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s308, c_n2) | (~node8(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24668, 24667])).
% 9.28/6.93 tff(24670,plain,
% 9.28/6.93 (~node8(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24669, 271, 24666])).
% 9.28/6.93 tff(24671,plain,
% 9.28/6.93 (succ(s308, s309) <=> succ(s308, s309)),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24672,axiom,(succ(s308, s309)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound309')).
% 9.28/6.93 tff(24673,plain,
% 9.28/6.93 (succ(s308, s309)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 9.28/6.93 tff(24674,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24675,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24676,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 9.28/6.93 tff(24677,plain,
% 9.28/6.93 (trans(s308, s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24676, 24673, 32])).
% 9.28/6.93 tff(24678,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s308, s309)) | node14(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s308, s309)) | node14(s308, s309))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24679,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s308, s309)) | node14(s308, s309))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24680,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s308, s309)) | node14(s308, s309)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 9.28/6.93 tff(24681,plain,
% 9.28/6.93 (node14(s308, s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24680, 46, 24677])).
% 9.28/6.93 tff(24682,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24683,plain,
% 9.28/6.93 (((~m_main_v_state2(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2)) <=> (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24684,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2))))),
% 9.28/6.93 inference(monotonicity,[status(thm)],[24683])).
% 9.28/6.93 tff(24685,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2)))),
% 9.28/6.93 inference(transitivity,[status(thm)],[24684, 24682])).
% 9.28/6.93 tff(24686,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s308, c_c2)) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | m_main_v_state2(s309, c_n2))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24687,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~node14(s308, s309)) | (~m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24686, 24685])).
% 9.28/6.93 tff(24688,plain,
% 9.28/6.93 (m_main_v_state2(s309, c_n2) | node9(s308) | node8(s308) | node10(s308) | node11(s308) | node12(s308) | (~m_main_v_state2(s308, c_c2))),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24687, 726, 24681])).
% 9.28/6.93 tff(24689,plain,
% 9.28/6.93 (m_main_v_state2(s309, c_n2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24688, 24670, 24625, 24662, 24658, 24650, 24633])).
% 9.28/6.93 tff(24690,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24691,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24692,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_c2))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24691, 24690])).
% 9.28/6.93 tff(24693,plain,
% 9.28/6.93 (~m_main_v_state2(s309, c_c2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24692, 697, 24689])).
% 9.28/6.93 tff(24694,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s309, c_c2) | (~node3(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s309, c_c2) | (~node3(s309)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24695,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s309, c_c2) | (~node3(s309)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24696,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s309, c_c2) | (~node3(s309))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 9.28/6.93 tff(24697,plain,
% 9.28/6.93 (~node3(s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24696, 399, 24693])).
% 9.28/6.93 tff(24698,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s308, c_n1) | (~node1(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s308, c_n1) | (~node1(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24699,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s308, c_n1) | (~node1(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24700,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s308, c_n1) | (~node1(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 9.28/6.93 tff(24701,plain,
% 9.28/6.93 (~node1(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24700, 421, 24646])).
% 9.28/6.93 tff(24702,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s307, s308)) | node18(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s307, s308)) | node18(s307, s308))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24703,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s307, s308)) | node18(s307, s308))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24704,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s307, s308)) | node18(s307, s308)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 9.28/6.93 tff(24705,plain,
% 9.28/6.93 (node18(s307, s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24704, 125, 24616])).
% 9.28/6.93 tff(24706,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24707,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24708,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | (~node18(s307, s308)) | m_main_v_turn(s308, c_2)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24707, 24706])).
% 9.28/6.93 tff(24709,plain,
% 9.28/6.93 ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state2(s307, c_t2)) | m_main_v_turn(s308, c_2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24708, 760, 24705])).
% 9.28/6.93 tff(24710,plain,
% 9.28/6.93 (m_main_v_turn(s308, c_2)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24709, 24569, 24605])).
% 9.28/6.93 tff(24711,plain,
% 9.28/6.93 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24712,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24713,plain,
% 9.28/6.93 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s308, c_1)) | (~m_main_v_turn(s308, c_2))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 9.28/6.93 tff(24714,plain,
% 9.28/6.93 (~m_main_v_turn(s308, c_1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24713, 156, 24710])).
% 9.28/6.93 tff(24715,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s308, c_1) | (~node5(s308)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s308, c_1) | (~node5(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24716,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s308, c_1) | (~node5(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24717,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s308, c_1) | (~node5(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 9.28/6.93 tff(24718,plain,
% 9.28/6.93 (~node5(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24717, 776, 24714])).
% 9.28/6.93 tff(24719,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s308, c_n1) | (~node2(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s308, c_n1) | (~node2(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24720,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s308, c_n1) | (~node2(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24721,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s308, c_n1) | (~node2(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 9.28/6.93 tff(24722,plain,
% 9.28/6.93 (~node2(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24721, 787, 24646])).
% 9.28/6.93 tff(24723,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s308, c_n1) | (~node3(s308)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s308, c_n1) | (~node3(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24724,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s308, c_n1) | (~node3(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24725,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s308, c_n1) | (~node3(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 9.28/6.93 tff(24726,plain,
% 9.28/6.93 (~node3(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24725, 798, 24646])).
% 9.28/6.93 tff(24727,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s308, c_n2) | (~node4(s308)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s308, c_n2) | (~node4(s308)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24728,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s308, c_n2) | (~node4(s308)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24729,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s308, c_n2) | (~node4(s308))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24728, 24727])).
% 9.28/6.93 tff(24730,plain,
% 9.28/6.93 (~node4(s308)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24729, 388, 24666])).
% 9.28/6.93 tff(24731,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s308, s309)) | node7(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s308, s309)) | node7(s308, s309))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24732,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s308, s309)) | node7(s308, s309))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24733,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s308, s309)) | node7(s308, s309)),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 9.28/6.93 tff(24734,plain,
% 9.28/6.93 (node7(s308, s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24733, 206, 24677])).
% 9.28/6.93 tff(24735,plain,
% 9.28/6.93 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24736,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24737,plain,
% 9.28/6.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309) | (~node7(s308, s309))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24736, 24735])).
% 9.28/6.93 tff(24738,plain,
% 9.28/6.93 (m_main_v_state1(s308, c_c1) | node1(s308) | node2(s308) | node3(s308) | node4(s308) | node5(s308) | node6(s308, s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24737, 820, 24734])).
% 9.28/6.93 tff(24739,plain,
% 9.28/6.93 (node6(s308, s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24738, 24730, 24654, 24726, 24722, 24718, 24701])).
% 9.28/6.93 tff(24740,plain,
% 9.28/6.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24741,plain,
% 9.28/6.93 (((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1))) <=> (m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24742,plain,
% 9.28/6.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309))))),
% 9.28/6.93 inference(monotonicity,[status(thm)],[24741])).
% 9.28/6.93 tff(24743,plain,
% 9.28/6.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309)))),
% 9.28/6.93 inference(transitivity,[status(thm)],[24742, 24740])).
% 9.28/6.93 tff(24744,plain,
% 9.28/6.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s308, s309)) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24745,plain,
% 9.28/6.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s308, c_n1) | (~m_main_v_state1(s309, c_n1)) | (~node6(s308, s309))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24744, 24743])).
% 9.28/6.93 tff(24746,plain,
% 9.28/6.93 (~m_main_v_state1(s309, c_n1)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24745, 835, 24646, 24739])).
% 9.28/6.93 tff(24747,plain,
% 9.28/6.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s309, c_n1) | (~node2(s309)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s309, c_n1) | (~node2(s309)))),
% 9.28/6.93 inference(rewrite,[status(thm)],[])).
% 9.28/6.93 tff(24748,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s309, c_n1) | (~node2(s309)))),
% 9.28/6.93 inference(quant_inst,[status(thm)],[])).
% 9.28/6.93 tff(24749,plain,
% 9.28/6.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s309, c_n1) | (~node2(s309))),
% 9.28/6.93 inference(modus_ponens,[status(thm)],[24748, 24747])).
% 9.28/6.93 tff(24750,plain,
% 9.28/6.93 (~node2(s309)),
% 9.28/6.93 inference(unit_resolution,[status(thm)],[24749, 787, 24746])).
% 9.28/6.93 tff(24751,plain,
% 9.28/6.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24752,plain,
% 9.28/6.94 (((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1)) <=> ((~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24753,plain,
% 9.28/6.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309))))),
% 9.28/6.94 inference(monotonicity,[status(thm)],[24752])).
% 9.28/6.94 tff(24754,plain,
% 9.28/6.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309)))),
% 9.28/6.94 inference(transitivity,[status(thm)],[24753, 24751])).
% 9.28/6.94 tff(24755,plain,
% 9.28/6.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s308, s309)) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24756,plain,
% 9.28/6.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s308, c_t1)) | m_main_v_state1(s309, c_t1) | (~node6(s308, s309))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24755, 24754])).
% 9.28/6.94 tff(24757,plain,
% 9.28/6.94 (m_main_v_state1(s309, c_t1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24756, 856, 24642, 24739])).
% 9.28/6.94 tff(24758,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24759,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24760,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s309, c_n2)) | (~m_main_v_state2(s309, c_t2))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24759, 24758])).
% 9.28/6.94 tff(24761,plain,
% 9.28/6.94 (~m_main_v_state2(s309, c_t2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24760, 77, 24689])).
% 9.28/6.94 tff(24762,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s309, c_t2) | (~node1(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s309, c_t2) | (~node1(s309)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24763,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s309, c_t2) | (~node1(s309)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24764,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s309, c_t2) | (~node1(s309))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24763, 24762])).
% 9.28/6.94 tff(24765,plain,
% 9.28/6.94 (~node1(s309)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24764, 195, 24761])).
% 9.28/6.94 tff(24766,plain,
% 9.28/6.94 (succ(s309, s310) <=> succ(s309, s310)),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24767,axiom,(succ(s309, s310)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound310')).
% 9.28/6.94 tff(24768,plain,
% 9.28/6.94 (succ(s309, s310)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 9.28/6.94 tff(24769,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24770,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24771,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24770, 24769])).
% 9.28/6.94 tff(24772,plain,
% 9.28/6.94 (trans(s309, s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24771, 24768, 32])).
% 9.28/6.94 tff(24773,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s309, s310)) | node7(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s309, s310)) | node7(s309, s310))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24774,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s309, s310)) | node7(s309, s310))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24775,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s309, s310)) | node7(s309, s310)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 9.28/6.94 tff(24776,plain,
% 9.28/6.94 (node7(s309, s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24775, 206, 24772])).
% 9.28/6.94 tff(24777,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24778,plain,
% 9.28/6.94 (((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1)) <=> ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24779,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310))))),
% 9.28/6.94 inference(monotonicity,[status(thm)],[24778])).
% 9.28/6.94 tff(24780,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)))),
% 9.28/6.94 inference(transitivity,[status(thm)],[24779, 24777])).
% 9.28/6.94 tff(24781,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310)) | m_main_v_state1(s310, c_c1))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24782,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309) | (~node7(s309, s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24781, 24780])).
% 9.28/6.94 tff(24783,plain,
% 9.28/6.94 ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state1(s310, c_c1) | node1(s309) | node2(s309) | node3(s309)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24782, 892, 24776])).
% 9.28/6.94 tff(24784,plain,
% 9.28/6.94 (m_main_v_state1(s310, c_c1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24783, 24765, 24689, 24757, 24750, 24697])).
% 9.28/6.94 tff(24785,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24786,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24787,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_t1)) | (~m_main_v_state1(s310, c_c1))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 9.28/6.94 tff(24788,plain,
% 9.28/6.94 (~m_main_v_state1(s310, c_t1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24787, 539, 24784])).
% 9.28/6.94 tff(24789,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s310, c_t1) | (~node5(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s310, c_t1) | (~node5(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24790,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s310, c_t1) | (~node5(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24791,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s310, c_t1) | (~node5(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24790, 24789])).
% 9.28/6.94 tff(24792,plain,
% 9.28/6.94 (~node5(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24791, 550, 24788])).
% 9.28/6.94 tff(24793,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s309, s310)) | node14(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s309, s310)) | node14(s309, s310))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24794,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s309, s310)) | node14(s309, s310))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24795,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s309, s310)) | node14(s309, s310)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24794, 24793])).
% 9.28/6.94 tff(24796,plain,
% 9.28/6.94 (node14(s309, s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24795, 46, 24772])).
% 9.28/6.94 tff(24797,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24798,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24799,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | (~node14(s309, s310)) | m_main_v_state2(s310, c_t2)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24798, 24797])).
% 9.28/6.94 tff(24800,plain,
% 9.28/6.94 ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_state2(s310, c_t2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24799, 922, 24796])).
% 9.28/6.94 tff(24801,plain,
% 9.28/6.94 (m_main_v_state2(s310, c_t2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24800, 24757, 24689])).
% 9.28/6.94 tff(24802,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24803,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24804,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s310, c_n2)) | (~m_main_v_state2(s310, c_t2))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24803, 24802])).
% 9.28/6.94 tff(24805,plain,
% 9.28/6.94 (~m_main_v_state2(s310, c_n2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24804, 77, 24801])).
% 9.28/6.94 tff(24806,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s310, c_n2) | (~node4(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s310, c_n2) | (~node4(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24807,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s310, c_n2) | (~node4(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24808,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s310, c_n2) | (~node4(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 9.28/6.94 tff(24809,plain,
% 9.28/6.94 (~node4(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24808, 388, 24805])).
% 9.28/6.94 tff(24810,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24811,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24812,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s310, c_t2)) | (~m_main_v_state2(s310, c_c2))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24811, 24810])).
% 9.28/6.94 tff(24813,plain,
% 9.28/6.94 (~m_main_v_state2(s310, c_c2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24812, 260, 24801])).
% 9.28/6.94 tff(24814,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s310, c_c2) | (~node3(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s310, c_c2) | (~node3(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24815,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s310, c_c2) | (~node3(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24816,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s310, c_c2) | (~node3(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24815, 24814])).
% 9.28/6.94 tff(24817,plain,
% 9.28/6.94 (~node3(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24816, 399, 24813])).
% 9.28/6.94 tff(24818,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s310, c_n2) | (~node2(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s310, c_n2) | (~node2(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24819,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s310, c_n2) | (~node2(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24820,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s310, c_n2) | (~node2(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 9.28/6.94 tff(24821,plain,
% 9.28/6.94 (~node2(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24820, 410, 24805])).
% 9.28/6.94 tff(24822,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24823,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24824,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s310, c_n1)) | (~m_main_v_state1(s310, c_c1))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24823, 24822])).
% 9.28/6.94 tff(24825,plain,
% 9.28/6.94 (~m_main_v_state1(s310, c_n1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24824, 454, 24784])).
% 9.28/6.94 tff(24826,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s310, c_n1) | (~node1(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s310, c_n1) | (~node1(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24827,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s310, c_n1) | (~node1(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24828,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s310, c_n1) | (~node1(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 9.28/6.94 tff(24829,plain,
% 9.28/6.94 (~node1(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24828, 421, 24825])).
% 9.28/6.94 tff(24830,plain,
% 9.28/6.94 (succ(s310, s311) <=> succ(s310, s311)),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24831,axiom,(succ(s310, s311)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound311')).
% 9.28/6.94 tff(24832,plain,
% 9.28/6.94 (succ(s310, s311)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 9.28/6.94 tff(24833,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24834,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24835,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 9.28/6.94 tff(24836,plain,
% 9.28/6.94 (trans(s310, s311)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24835, 24832, 32])).
% 9.28/6.94 tff(24837,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s310, s311)) | node7(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s310, s311)) | node7(s310, s311))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24838,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s310, s311)) | node7(s310, s311))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24839,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s310, s311)) | node7(s310, s311)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24838, 24837])).
% 9.28/6.94 tff(24840,plain,
% 9.28/6.94 (node7(s310, s311)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24839, 206, 24836])).
% 9.28/6.94 tff(24841,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24842,plain,
% 9.28/6.94 (((~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1)) <=> (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24843,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311))))),
% 9.28/6.94 inference(monotonicity,[status(thm)],[24842])).
% 9.28/6.94 tff(24844,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)))),
% 9.28/6.94 inference(transitivity,[status(thm)],[24843, 24841])).
% 9.28/6.94 tff(24845,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311)) | m_main_v_state1(s311, c_n1))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24846,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310) | (~node7(s310, s311))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 9.28/6.94 tff(24847,plain,
% 9.28/6.94 (m_main_v_state1(s311, c_n1) | (~m_main_v_state1(s310, c_c1)) | node1(s310) | node2(s310) | node3(s310) | node4(s310) | node5(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24846, 584, 24840])).
% 9.28/6.94 tff(24848,plain,
% 9.28/6.94 (m_main_v_state1(s311, c_n1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24847, 24829, 24784, 24821, 24817, 24809, 24792])).
% 9.28/6.94 tff(24849,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s309, c_t2) | (~node15(s309)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s309, c_t2) | (~node15(s309)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24850,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s309, c_t2) | (~node15(s309)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24851,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s309, c_t2) | (~node15(s309))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24850, 24849])).
% 9.28/6.94 tff(24852,plain,
% 9.28/6.94 (~node15(s309)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24851, 103, 24761])).
% 9.28/6.94 tff(24853,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s309, s310)) | node18(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s309, s310)) | node18(s309, s310))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24854,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s309, s310)) | node18(s309, s310))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24855,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s309, s310)) | node18(s309, s310)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 9.28/6.94 tff(24856,plain,
% 9.28/6.94 (node18(s309, s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24855, 125, 24772])).
% 9.28/6.94 tff(24857,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24858,plain,
% 9.28/6.94 (((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1)) <=> (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24859,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)))),
% 9.28/6.94 inference(monotonicity,[status(thm)],[24858])).
% 9.28/6.94 tff(24860,plain,
% 9.28/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1))),
% 9.28/6.94 inference(transitivity,[status(thm)],[24859, 24857])).
% 9.28/6.94 tff(24861,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | node15(s309) | (~node18(s309, s310)) | m_main_v_turn(s310, c_1))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24862,plain,
% 9.28/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s309) | (~node18(s309, s310)) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 9.28/6.94 tff(24863,plain,
% 9.28/6.94 (node15(s309) | (~m_main_v_state1(s309, c_t1)) | (~m_main_v_state2(s309, c_n2)) | m_main_v_turn(s310, c_1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24862, 992, 24856])).
% 9.28/6.94 tff(24864,plain,
% 9.28/6.94 (m_main_v_turn(s310, c_1)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24863, 24852, 24689, 24757])).
% 9.28/6.94 tff(24865,plain,
% 9.28/6.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24866,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24867,plain,
% 9.28/6.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s310, c_1)) | (~m_main_v_turn(s310, c_2))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 9.28/6.94 tff(24868,plain,
% 9.28/6.94 (~m_main_v_turn(s310, c_2)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24867, 156, 24864])).
% 9.28/6.94 tff(24869,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s310, c_2) | (~node12(s310)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s310, c_2) | (~node12(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24870,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s310, c_2) | (~node12(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24871,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s310, c_2) | (~node12(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 9.28/6.94 tff(24872,plain,
% 9.28/6.94 (~node12(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24871, 184, 24868])).
% 9.28/6.94 tff(24873,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s310, c_n2) | (~node8(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s310, c_n2) | (~node8(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24874,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s310, c_n2) | (~node8(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24875,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s310, c_n2) | (~node8(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24874, 24873])).
% 9.28/6.94 tff(24876,plain,
% 9.28/6.94 (~node8(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24875, 271, 24805])).
% 9.28/6.94 tff(24877,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s310, c_n2) | (~node9(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s310, c_n2) | (~node9(s310)))),
% 9.28/6.94 inference(rewrite,[status(thm)],[])).
% 9.28/6.94 tff(24878,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s310, c_n2) | (~node9(s310)))),
% 9.28/6.94 inference(quant_inst,[status(thm)],[])).
% 9.28/6.94 tff(24879,plain,
% 9.28/6.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s310, c_n2) | (~node9(s310))),
% 9.28/6.94 inference(modus_ponens,[status(thm)],[24878, 24877])).
% 9.28/6.94 tff(24880,plain,
% 9.28/6.94 (~node9(s310)),
% 9.28/6.94 inference(unit_resolution,[status(thm)],[24879, 88, 24805])).
% 9.28/6.94 tff(24881,plain,
% 9.28/6.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s310, c_n2) | (~node10(s310)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s310, c_n2) | (~node10(s310)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24882,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s310, c_n2) | (~node10(s310)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24883,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s310, c_n2) | (~node10(s310))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24882, 24881])).
% 9.28/6.95 tff(24884,plain,
% 9.28/6.95 (~node10(s310)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24883, 249, 24805])).
% 9.28/6.95 tff(24885,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s310, c_n1) | (~node11(s310)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s310, c_n1) | (~node11(s310)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24886,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s310, c_n1) | (~node11(s310)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24887,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s310, c_n1) | (~node11(s310))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24886, 24885])).
% 9.28/6.95 tff(24888,plain,
% 9.28/6.95 (~node11(s310)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24887, 238, 24825])).
% 9.28/6.95 tff(24889,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s310, s311)) | node14(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s310, s311)) | node14(s310, s311))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24890,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s310, s311)) | node14(s310, s311))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24891,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s310, s311)) | node14(s310, s311)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24890, 24889])).
% 9.28/6.95 tff(24892,plain,
% 9.28/6.95 (node14(s310, s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24891, 46, 24836])).
% 9.28/6.95 tff(24893,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24894,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24895,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311) | (~node14(s310, s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24894, 24893])).
% 9.28/6.95 tff(24896,plain,
% 9.28/6.95 (m_main_v_state2(s310, c_c2) | node9(s310) | node8(s310) | node10(s310) | node11(s310) | node12(s310) | node13(s310, s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24895, 296, 24892])).
% 9.28/6.95 tff(24897,plain,
% 9.28/6.95 (node13(s310, s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24896, 24888, 24813, 24884, 24880, 24876, 24872])).
% 9.28/6.95 tff(24898,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24899,plain,
% 9.28/6.95 (((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2)) <=> ((~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24900,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311))))),
% 9.28/6.95 inference(monotonicity,[status(thm)],[24899])).
% 9.28/6.95 tff(24901,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311)))),
% 9.28/6.95 inference(transitivity,[status(thm)],[24900, 24898])).
% 9.28/6.95 tff(24902,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s310, s311)) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24903,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s310, c_t2)) | m_main_v_state2(s311, c_t2) | (~node13(s310, s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24902, 24901])).
% 9.28/6.95 tff(24904,plain,
% 9.28/6.95 (m_main_v_state2(s311, c_t2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24903, 518, 24801, 24897])).
% 9.28/6.95 tff(24905,plain,
% 9.28/6.95 (succ(s311, s312) <=> succ(s311, s312)),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24906,axiom,(succ(s311, s312)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound312')).
% 9.28/6.95 tff(24907,plain,
% 9.28/6.95 (succ(s311, s312)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24906, 24905])).
% 9.28/6.95 tff(24908,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24909,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24910,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 9.28/6.95 tff(24911,plain,
% 9.28/6.95 (trans(s311, s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24910, 24907, 32])).
% 9.28/6.95 tff(24912,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s311, s312)) | node7(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s311, s312)) | node7(s311, s312))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24913,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s311, s312)) | node7(s311, s312))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24914,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s311, s312)) | node7(s311, s312)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 9.28/6.95 tff(24915,plain,
% 9.28/6.95 (node7(s311, s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24914, 206, 24911])).
% 9.28/6.95 tff(24916,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24917,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24918,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node7(s311, s312)) | m_main_v_state1(s312, c_t1)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 9.28/6.95 tff(24919,plain,
% 9.28/6.95 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | m_main_v_state1(s312, c_t1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24918, 651, 24915])).
% 9.28/6.95 tff(24920,plain,
% 9.28/6.95 (m_main_v_state1(s312, c_t1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24919, 24904, 24848])).
% 9.28/6.95 tff(24921,plain,
% 9.28/6.95 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24922,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24923,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s312, c_n1)) | (~m_main_v_state1(s312, c_t1))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 9.28/6.95 tff(24924,plain,
% 9.28/6.95 (~m_main_v_state1(s312, c_n1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24923, 10, 24920])).
% 9.28/6.95 tff(24925,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s312, c_n1) | (~node1(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s312, c_n1) | (~node1(s312)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24926,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s312, c_n1) | (~node1(s312)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24927,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s312, c_n1) | (~node1(s312))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 9.28/6.95 tff(24928,plain,
% 9.28/6.95 (~node1(s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24927, 421, 24924])).
% 9.28/6.95 tff(24929,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s311, s312)) | node18(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s311, s312)) | node18(s311, s312))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24930,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s311, s312)) | node18(s311, s312))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24931,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s311, s312)) | node18(s311, s312)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24930, 24929])).
% 9.28/6.95 tff(24932,plain,
% 9.28/6.95 (node18(s311, s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24931, 125, 24911])).
% 9.28/6.95 tff(24933,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24934,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24935,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | (~node18(s311, s312)) | m_main_v_turn(s312, c_2)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 9.28/6.95 tff(24936,plain,
% 9.28/6.95 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | m_main_v_turn(s312, c_2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24935, 760, 24932])).
% 9.28/6.95 tff(24937,plain,
% 9.28/6.95 (m_main_v_turn(s312, c_2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24936, 24904, 24848])).
% 9.28/6.95 tff(24938,plain,
% 9.28/6.95 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24939,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24940,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s312, c_1)) | (~m_main_v_turn(s312, c_2))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 9.28/6.95 tff(24941,plain,
% 9.28/6.95 (~m_main_v_turn(s312, c_1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24940, 156, 24937])).
% 9.28/6.95 tff(24942,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s312, c_1) | (~node5(s312)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s312, c_1) | (~node5(s312)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24943,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s312, c_1) | (~node5(s312)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24944,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s312, c_1) | (~node5(s312))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 9.28/6.95 tff(24945,plain,
% 9.28/6.95 (~node5(s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24944, 776, 24941])).
% 9.28/6.95 tff(24946,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s312, c_n1) | (~node2(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s312, c_n1) | (~node2(s312)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24947,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s312, c_n1) | (~node2(s312)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24948,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s312, c_n1) | (~node2(s312))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24947, 24946])).
% 9.28/6.95 tff(24949,plain,
% 9.28/6.95 (~node2(s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24948, 787, 24924])).
% 9.28/6.95 tff(24950,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s312, c_n1) | (~node3(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s312, c_n1) | (~node3(s312)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24951,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s312, c_n1) | (~node3(s312)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24952,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s312, c_n1) | (~node3(s312))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 9.28/6.95 tff(24953,plain,
% 9.28/6.95 (~node3(s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24952, 798, 24924])).
% 9.28/6.95 tff(24954,plain,
% 9.28/6.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24955,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24956,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s312, c_t1)) | (~m_main_v_state1(s312, c_c1))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24955, 24954])).
% 9.28/6.95 tff(24957,plain,
% 9.28/6.95 (~m_main_v_state1(s312, c_c1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24956, 539, 24920])).
% 9.28/6.95 tff(24958,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24959,plain,
% 9.28/6.95 (((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2))) <=> (m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24960,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311))))),
% 9.28/6.95 inference(monotonicity,[status(thm)],[24959])).
% 9.28/6.95 tff(24961,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311)))),
% 9.28/6.95 inference(transitivity,[status(thm)],[24960, 24958])).
% 9.28/6.95 tff(24962,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s310, s311)) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24963,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s310, c_n2) | (~m_main_v_state2(s311, c_n2)) | (~node13(s310, s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 9.28/6.95 tff(24964,plain,
% 9.28/6.95 (~m_main_v_state2(s311, c_n2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24963, 311, 24805, 24897])).
% 9.28/6.95 tff(24965,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s311, c_n2) | (~node9(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s311, c_n2) | (~node9(s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24966,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s311, c_n2) | (~node9(s311)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24967,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s311, c_n2) | (~node9(s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24966, 24965])).
% 9.28/6.95 tff(24968,plain,
% 9.28/6.95 (~node9(s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24967, 88, 24964])).
% 9.28/6.95 tff(24969,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s311, c_n2) | (~node10(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s311, c_n2) | (~node10(s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24970,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s311, c_n2) | (~node10(s311)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24971,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s311, c_n2) | (~node10(s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 9.28/6.95 tff(24972,plain,
% 9.28/6.95 (~node10(s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24971, 249, 24964])).
% 9.28/6.95 tff(24973,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s311, c_n2) | (~node8(s311)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s311, c_n2) | (~node8(s311)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24974,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s311, c_n2) | (~node8(s311)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24975,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s311, c_n2) | (~node8(s311))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 9.28/6.95 tff(24976,plain,
% 9.28/6.95 (~node8(s311)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24975, 271, 24964])).
% 9.28/6.95 tff(24977,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s311, s312)) | node14(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s311, s312)) | node14(s311, s312))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24978,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s311, s312)) | node14(s311, s312))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24979,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s311, s312)) | node14(s311, s312)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 9.28/6.95 tff(24980,plain,
% 9.28/6.95 (node14(s311, s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24979, 46, 24911])).
% 9.28/6.95 tff(24981,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24982,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24983,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | (~node14(s311, s312)) | m_main_v_state2(s312, c_c2)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24982, 24981])).
% 9.28/6.95 tff(24984,plain,
% 9.28/6.95 ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state2(s311, c_t2)) | node9(s311) | node8(s311) | node10(s311) | m_main_v_state2(s312, c_c2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24983, 617, 24980])).
% 9.28/6.95 tff(24985,plain,
% 9.28/6.95 (m_main_v_state2(s312, c_c2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24984, 24976, 24848, 24904, 24972, 24968])).
% 9.28/6.95 tff(24986,plain,
% 9.28/6.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24987,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24988,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_n2)) | (~m_main_v_state2(s312, c_c2))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 9.28/6.95 tff(24989,plain,
% 9.28/6.95 (~m_main_v_state2(s312, c_n2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24988, 697, 24985])).
% 9.28/6.95 tff(24990,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s312, c_n2) | (~node4(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s312, c_n2) | (~node4(s312)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24991,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s312, c_n2) | (~node4(s312)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24992,plain,
% 9.28/6.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s312, c_n2) | (~node4(s312))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 9.28/6.95 tff(24993,plain,
% 9.28/6.95 (~node4(s312)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24992, 388, 24989])).
% 9.28/6.95 tff(24994,plain,
% 9.28/6.95 (succ(s312, s313) <=> succ(s312, s313)),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24995,axiom,(succ(s312, s313)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound313')).
% 9.28/6.95 tff(24996,plain,
% 9.28/6.95 (succ(s312, s313)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24995, 24994])).
% 9.28/6.95 tff(24997,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(24998,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(24999,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[24998, 24997])).
% 9.28/6.95 tff(25000,plain,
% 9.28/6.95 (trans(s312, s313)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[24999, 24996, 32])).
% 9.28/6.95 tff(25001,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s312, s313)) | node7(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s312, s313)) | node7(s312, s313))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(25002,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s312, s313)) | node7(s312, s313))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(25003,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s312, s313)) | node7(s312, s313)),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 9.28/6.95 tff(25004,plain,
% 9.28/6.95 (node7(s312, s313)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[25003, 206, 25000])).
% 9.28/6.95 tff(25005,plain,
% 9.28/6.95 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(25006,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(25007,plain,
% 9.28/6.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313) | (~node7(s312, s313))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[25006, 25005])).
% 9.28/6.95 tff(25008,plain,
% 9.28/6.95 (m_main_v_state1(s312, c_c1) | node1(s312) | node2(s312) | node3(s312) | node4(s312) | node5(s312) | node6(s312, s313)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[25007, 820, 25004])).
% 9.28/6.95 tff(25009,plain,
% 9.28/6.95 (node6(s312, s313)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[25008, 24993, 24957, 24953, 24949, 24945, 24928])).
% 9.28/6.95 tff(25010,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(25011,plain,
% 9.28/6.95 (((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1)) <=> ((~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(25012,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313))))),
% 9.28/6.95 inference(monotonicity,[status(thm)],[25011])).
% 9.28/6.95 tff(25013,plain,
% 9.28/6.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313)))),
% 9.28/6.95 inference(transitivity,[status(thm)],[25012, 25010])).
% 9.28/6.95 tff(25014,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s312, s313)) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(25015,plain,
% 9.28/6.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s312, c_t1)) | m_main_v_state1(s313, c_t1) | (~node6(s312, s313))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[25014, 25013])).
% 9.28/6.95 tff(25016,plain,
% 9.28/6.95 (m_main_v_state1(s313, c_t1)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[25015, 856, 24920, 25009])).
% 9.28/6.95 tff(25017,plain,
% 9.28/6.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.95 inference(rewrite,[status(thm)],[])).
% 9.28/6.95 tff(25018,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.95 inference(quant_inst,[status(thm)],[])).
% 9.28/6.95 tff(25019,plain,
% 9.28/6.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s312, c_t2)) | (~m_main_v_state2(s312, c_c2))),
% 9.28/6.95 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 9.28/6.95 tff(25020,plain,
% 9.28/6.95 (~m_main_v_state2(s312, c_t2)),
% 9.28/6.95 inference(unit_resolution,[status(thm)],[25019, 260, 24985])).
% 9.28/6.95 tff(25021,plain,
% 9.28/6.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s312, c_t2) | (~node12(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s312, c_t2) | (~node12(s312)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25022,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s312, c_t2) | (~node12(s312)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25023,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s312, c_t2) | (~node12(s312))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 9.28/6.96 tff(25024,plain,
% 9.28/6.96 (~node12(s312)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25023, 633, 25020])).
% 9.28/6.96 tff(25025,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s312, c_n1) | (~node11(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s312, c_n1) | (~node11(s312)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25026,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s312, c_n1) | (~node11(s312)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25027,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s312, c_n1) | (~node11(s312))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 9.28/6.96 tff(25028,plain,
% 9.28/6.96 (~node11(s312)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25027, 238, 24924])).
% 9.28/6.96 tff(25029,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s312, c_c1) | (~node10(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s312, c_c1) | (~node10(s312)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25030,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s312, c_c1) | (~node10(s312)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25031,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s312, c_c1) | (~node10(s312))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 9.28/6.96 tff(25032,plain,
% 9.28/6.96 (~node10(s312)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25031, 675, 24957])).
% 9.28/6.96 tff(25033,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s312, c_n1) | (~node9(s312)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s312, c_n1) | (~node9(s312)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25034,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s312, c_n1) | (~node9(s312)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25035,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s312, c_n1) | (~node9(s312))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25034, 25033])).
% 9.28/6.96 tff(25036,plain,
% 9.28/6.96 (~node9(s312)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25035, 686, 24924])).
% 9.28/6.96 tff(25037,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s312, c_n2) | (~node8(s312)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s312, c_n2) | (~node8(s312)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25038,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s312, c_n2) | (~node8(s312)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25039,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s312, c_n2) | (~node8(s312))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 9.28/6.96 tff(25040,plain,
% 9.28/6.96 (~node8(s312)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25039, 271, 24989])).
% 9.28/6.96 tff(25041,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s312, s313)) | node14(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s312, s313)) | node14(s312, s313))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25042,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s312, s313)) | node14(s312, s313))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25043,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s312, s313)) | node14(s312, s313)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 9.28/6.96 tff(25044,plain,
% 9.28/6.96 (node14(s312, s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25043, 46, 25000])).
% 9.28/6.96 tff(25045,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25046,plain,
% 9.28/6.96 (((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2)) <=> (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25047,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2))))),
% 9.28/6.96 inference(monotonicity,[status(thm)],[25046])).
% 9.28/6.96 tff(25048,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2)))),
% 9.28/6.96 inference(transitivity,[status(thm)],[25047, 25045])).
% 9.28/6.96 tff(25049,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s312, c_c2)) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | m_main_v_state2(s313, c_n2))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25050,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~node14(s312, s313)) | (~m_main_v_state2(s312, c_c2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 9.28/6.96 tff(25051,plain,
% 9.28/6.96 (m_main_v_state2(s313, c_n2) | node9(s312) | node8(s312) | node10(s312) | node11(s312) | node12(s312) | (~m_main_v_state2(s312, c_c2))),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25050, 726, 25044])).
% 9.28/6.96 tff(25052,plain,
% 9.28/6.96 (m_main_v_state2(s313, c_n2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25051, 25040, 24985, 25036, 25032, 25028, 25024])).
% 9.28/6.96 tff(25053,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25054,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25055,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_t2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25054, 25053])).
% 9.28/6.96 tff(25056,plain,
% 9.28/6.96 (~m_main_v_state2(s313, c_t2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25055, 77, 25052])).
% 9.28/6.96 tff(25057,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s313, c_t2) | (~node15(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s313, c_t2) | (~node15(s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25058,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s313, c_t2) | (~node15(s313)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25059,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s313, c_t2) | (~node15(s313))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 9.28/6.96 tff(25060,plain,
% 9.28/6.96 (~node15(s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25059, 103, 25056])).
% 9.28/6.96 tff(25061,plain,
% 9.28/6.96 (succ(s313, s314) <=> succ(s313, s314)),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25062,axiom,(succ(s313, s314)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound314')).
% 9.28/6.96 tff(25063,plain,
% 9.28/6.96 (succ(s313, s314)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25062, 25061])).
% 9.28/6.96 tff(25064,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25065,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25066,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 9.28/6.96 tff(25067,plain,
% 9.28/6.96 (trans(s313, s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25066, 25063, 32])).
% 9.28/6.96 tff(25068,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s313, s314)) | node18(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s313, s314)) | node18(s313, s314))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25069,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s313, s314)) | node18(s313, s314))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25070,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s313, s314)) | node18(s313, s314)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 9.28/6.96 tff(25071,plain,
% 9.28/6.96 (node18(s313, s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25070, 125, 25067])).
% 9.28/6.96 tff(25072,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25073,plain,
% 9.28/6.96 (((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1)) <=> (node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25074,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)))),
% 9.28/6.96 inference(monotonicity,[status(thm)],[25073])).
% 9.28/6.96 tff(25075,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1))),
% 9.28/6.96 inference(transitivity,[status(thm)],[25074, 25072])).
% 9.28/6.96 tff(25076,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node15(s313) | (~node18(s313, s314)) | m_main_v_turn(s314, c_1))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25077,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s313) | (~node18(s313, s314)) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 9.28/6.96 tff(25078,plain,
% 9.28/6.96 (node15(s313) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_turn(s314, c_1)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25077, 992, 25071])).
% 9.28/6.96 tff(25079,plain,
% 9.28/6.96 (m_main_v_turn(s314, c_1)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25078, 25060, 25052, 25016])).
% 9.28/6.96 tff(25080,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25081,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25082,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s314, c_1)) | (~m_main_v_turn(s314, c_2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25081, 25080])).
% 9.28/6.96 tff(25083,plain,
% 9.28/6.96 (~m_main_v_turn(s314, c_2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25082, 156, 25079])).
% 9.28/6.96 tff(25084,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s314, c_2) | (~node12(s314)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s314, c_2) | (~node12(s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25085,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s314, c_2) | (~node12(s314)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25086,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s314, c_2) | (~node12(s314))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25085, 25084])).
% 9.28/6.96 tff(25087,plain,
% 9.28/6.96 (~node12(s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25086, 184, 25083])).
% 9.28/6.96 tff(25088,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s313, s314)) | node14(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s313, s314)) | node14(s313, s314))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25089,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s313, s314)) | node14(s313, s314))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25090,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s313, s314)) | node14(s313, s314)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25089, 25088])).
% 9.28/6.96 tff(25091,plain,
% 9.28/6.96 (node14(s313, s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25090, 46, 25067])).
% 9.28/6.96 tff(25092,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25093,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25094,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | (~node14(s313, s314)) | m_main_v_state2(s314, c_t2)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 9.28/6.96 tff(25095,plain,
% 9.28/6.96 ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state2(s314, c_t2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25094, 922, 25091])).
% 9.28/6.96 tff(25096,plain,
% 9.28/6.96 (m_main_v_state2(s314, c_t2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25095, 25016, 25052])).
% 9.28/6.96 tff(25097,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25098,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25099,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s314, c_n2)) | (~m_main_v_state2(s314, c_t2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25098, 25097])).
% 9.28/6.96 tff(25100,plain,
% 9.28/6.96 (~m_main_v_state2(s314, c_n2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25099, 77, 25096])).
% 9.28/6.96 tff(25101,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s314, c_n2) | (~node8(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s314, c_n2) | (~node8(s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25102,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s314, c_n2) | (~node8(s314)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25103,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s314, c_n2) | (~node8(s314))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25102, 25101])).
% 9.28/6.96 tff(25104,plain,
% 9.28/6.96 (~node8(s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25103, 271, 25100])).
% 9.28/6.96 tff(25105,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s314, c_n2) | (~node9(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s314, c_n2) | (~node9(s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25106,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s314, c_n2) | (~node9(s314)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25107,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s314, c_n2) | (~node9(s314))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25106, 25105])).
% 9.28/6.96 tff(25108,plain,
% 9.28/6.96 (~node9(s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25107, 88, 25100])).
% 9.28/6.96 tff(25109,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s314, c_n2) | (~node10(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s314, c_n2) | (~node10(s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25110,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s314, c_n2) | (~node10(s314)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25111,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s314, c_n2) | (~node10(s314))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 9.28/6.96 tff(25112,plain,
% 9.28/6.96 (~node10(s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25111, 249, 25100])).
% 9.28/6.96 tff(25113,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25114,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25115,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s314, c_t2)) | (~m_main_v_state2(s314, c_c2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 9.28/6.96 tff(25116,plain,
% 9.28/6.96 (~m_main_v_state2(s314, c_c2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25115, 260, 25096])).
% 9.28/6.96 tff(25117,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25118,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25119,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s313, c_n2)) | (~m_main_v_state2(s313, c_c2))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 9.28/6.96 tff(25120,plain,
% 9.28/6.96 (~m_main_v_state2(s313, c_c2)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25119, 697, 25052])).
% 9.28/6.96 tff(25121,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s313, c_c2) | (~node3(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s313, c_c2) | (~node3(s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25122,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s313, c_c2) | (~node3(s313)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25123,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s313, c_c2) | (~node3(s313))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 9.28/6.96 tff(25124,plain,
% 9.28/6.96 (~node3(s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25123, 399, 25120])).
% 9.28/6.96 tff(25125,plain,
% 9.28/6.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25126,plain,
% 9.28/6.96 (((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1))) <=> (m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25127,plain,
% 9.28/6.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313))))),
% 9.28/6.96 inference(monotonicity,[status(thm)],[25126])).
% 9.28/6.96 tff(25128,plain,
% 9.28/6.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313)))),
% 9.28/6.96 inference(transitivity,[status(thm)],[25127, 25125])).
% 9.28/6.96 tff(25129,plain,
% 9.28/6.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s312, s313)) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25130,plain,
% 9.28/6.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s312, c_n1) | (~m_main_v_state1(s313, c_n1)) | (~node6(s312, s313))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 9.28/6.96 tff(25131,plain,
% 9.28/6.96 (~m_main_v_state1(s313, c_n1)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25130, 835, 24924, 25009])).
% 9.28/6.96 tff(25132,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s313, c_n1) | (~node2(s313)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s313, c_n1) | (~node2(s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25133,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s313, c_n1) | (~node2(s313)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25134,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s313, c_n1) | (~node2(s313))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 9.28/6.96 tff(25135,plain,
% 9.28/6.96 (~node2(s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25134, 787, 25131])).
% 9.28/6.96 tff(25136,plain,
% 9.28/6.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s313, c_t2) | (~node1(s313)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s313, c_t2) | (~node1(s313)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25137,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s313, c_t2) | (~node1(s313)))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25138,plain,
% 9.28/6.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s313, c_t2) | (~node1(s313))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 9.28/6.96 tff(25139,plain,
% 9.28/6.96 (~node1(s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25138, 195, 25056])).
% 9.28/6.96 tff(25140,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s313, s314)) | node7(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s313, s314)) | node7(s313, s314))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25141,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s313, s314)) | node7(s313, s314))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25142,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s313, s314)) | node7(s313, s314)),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 9.28/6.96 tff(25143,plain,
% 9.28/6.96 (node7(s313, s314)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25142, 206, 25067])).
% 9.28/6.96 tff(25144,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25145,plain,
% 9.28/6.96 (((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1)) <=> ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25146,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314))))),
% 9.28/6.96 inference(monotonicity,[status(thm)],[25145])).
% 9.28/6.96 tff(25147,plain,
% 9.28/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)))),
% 9.28/6.96 inference(transitivity,[status(thm)],[25146, 25144])).
% 9.28/6.96 tff(25148,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314)) | m_main_v_state1(s314, c_c1))),
% 9.28/6.96 inference(quant_inst,[status(thm)],[])).
% 9.28/6.96 tff(25149,plain,
% 9.28/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313) | (~node7(s313, s314))),
% 9.28/6.96 inference(modus_ponens,[status(thm)],[25148, 25147])).
% 9.28/6.96 tff(25150,plain,
% 9.28/6.96 ((~m_main_v_state1(s313, c_t1)) | (~m_main_v_state2(s313, c_n2)) | m_main_v_state1(s314, c_c1) | node1(s313) | node2(s313) | node3(s313)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25149, 892, 25143])).
% 9.28/6.96 tff(25151,plain,
% 9.28/6.96 (m_main_v_state1(s314, c_c1)),
% 9.28/6.96 inference(unit_resolution,[status(thm)],[25150, 25139, 25052, 25016, 25135, 25124])).
% 9.28/6.96 tff(25152,plain,
% 9.28/6.96 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))),
% 9.28/6.96 inference(rewrite,[status(thm)],[])).
% 9.28/6.96 tff(25153,plain,
% 9.28/6.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1)))),
% 9.28/6.97 inference(quant_inst,[status(thm)],[])).
% 9.28/6.97 tff(25154,plain,
% 9.28/6.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_n1)) | (~m_main_v_state1(s314, c_c1))),
% 9.28/6.97 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 9.28/6.97 tff(25155,plain,
% 9.28/6.97 (~m_main_v_state1(s314, c_n1)),
% 9.28/6.97 inference(unit_resolution,[status(thm)],[25154, 454, 25151])).
% 9.28/6.97 tff(25156,plain,
% 9.28/6.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s314, c_n1) | (~node11(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s314, c_n1) | (~node11(s314)))),
% 9.28/6.97 inference(rewrite,[status(thm)],[])).
% 9.28/6.97 tff(25157,plain,
% 9.28/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s314, c_n1) | (~node11(s314)))),
% 9.28/6.97 inference(quant_inst,[status(thm)],[])).
% 9.28/6.97 tff(25158,plain,
% 9.28/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s314, c_n1) | (~node11(s314))),
% 9.28/6.97 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 9.28/6.97 tff(25159,plain,
% 9.28/6.97 (~node11(s314)),
% 9.28/6.97 inference(unit_resolution,[status(thm)],[25158, 238, 25155])).
% 9.28/6.97 tff(25160,plain,
% 9.28/6.97 (succ(s314, s315) <=> succ(s314, s315)),
% 9.28/6.97 inference(rewrite,[status(thm)],[])).
% 9.28/6.97 tff(25161,axiom,(succ(s314, s315)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound315')).
% 9.28/6.97 tff(25162,plain,
% 9.28/6.97 (succ(s314, s315)),
% 9.28/6.97 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 9.28/6.97 tff(25163,plain,
% 9.28/6.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315))),
% 9.28/6.97 inference(rewrite,[status(thm)],[])).
% 9.28/6.97 tff(25164,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))),
% 9.28/6.97 inference(quant_inst,[status(thm)],[])).
% 9.28/6.97 tff(25165,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315)),
% 9.28/6.97 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 9.28/6.97 tff(25166,plain,
% 9.28/6.97 (trans(s314, s315)),
% 9.28/6.97 inference(unit_resolution,[status(thm)],[25165, 25162, 32])).
% 9.28/6.97 tff(25167,plain,
% 9.28/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s314, s315)) | node14(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s314, s315)) | node14(s314, s315))),
% 9.28/6.97 inference(rewrite,[status(thm)],[])).
% 9.28/6.97 tff(25168,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s314, s315)) | node14(s314, s315))),
% 9.28/6.97 inference(quant_inst,[status(thm)],[])).
% 9.28/6.97 tff(25169,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s314, s315)) | node14(s314, s315)),
% 9.28/6.97 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 9.28/6.97 tff(25170,plain,
% 9.28/6.97 (node14(s314, s315)),
% 9.28/6.97 inference(unit_resolution,[status(thm)],[25169, 46, 25166])).
% 9.28/6.97 tff(25171,plain,
% 9.28/6.97 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))),
% 9.28/6.97 inference(rewrite,[status(thm)],[])).
% 9.28/6.97 tff(25172,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315)))),
% 9.28/6.97 inference(quant_inst,[status(thm)],[])).
% 9.28/6.97 tff(25173,plain,
% 9.28/6.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315) | (~node14(s314, s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 9.34/6.97 tff(25174,plain,
% 9.34/6.97 (m_main_v_state2(s314, c_c2) | node9(s314) | node8(s314) | node10(s314) | node11(s314) | node12(s314) | node13(s314, s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25173, 296, 25170])).
% 9.34/6.97 tff(25175,plain,
% 9.34/6.97 (node13(s314, s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25174, 25159, 25116, 25112, 25108, 25104, 25087])).
% 9.34/6.97 tff(25176,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25177,plain,
% 9.34/6.97 (((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2))) <=> (m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25178,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315))))),
% 9.34/6.97 inference(monotonicity,[status(thm)],[25177])).
% 9.34/6.97 tff(25179,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315)))),
% 9.34/6.97 inference(transitivity,[status(thm)],[25178, 25176])).
% 9.34/6.97 tff(25180,plain,
% 9.34/6.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s314, s315)) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25181,plain,
% 9.34/6.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s314, c_n2) | (~m_main_v_state2(s315, c_n2)) | (~node13(s314, s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25180, 25179])).
% 9.34/6.97 tff(25182,plain,
% 9.34/6.97 (~m_main_v_state2(s315, c_n2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25181, 311, 25100, 25175])).
% 9.34/6.97 tff(25183,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s315, c_n2) | (~node9(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s315, c_n2) | (~node9(s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25184,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s315, c_n2) | (~node9(s315)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25185,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s315, c_n2) | (~node9(s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 9.34/6.97 tff(25186,plain,
% 9.34/6.97 (~node9(s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25185, 88, 25182])).
% 9.34/6.97 tff(25187,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s315, c_n2) | (~node10(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s315, c_n2) | (~node10(s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25188,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s315, c_n2) | (~node10(s315)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25189,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s315, c_n2) | (~node10(s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25188, 25187])).
% 9.34/6.97 tff(25190,plain,
% 9.34/6.97 (~node10(s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25189, 249, 25182])).
% 9.34/6.97 tff(25191,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25192,plain,
% 9.34/6.97 (((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2)) <=> ((~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25193,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315))))),
% 9.34/6.97 inference(monotonicity,[status(thm)],[25192])).
% 9.34/6.97 tff(25194,plain,
% 9.34/6.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315)))),
% 9.34/6.97 inference(transitivity,[status(thm)],[25193, 25191])).
% 9.34/6.97 tff(25195,plain,
% 9.34/6.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s314, s315)) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25196,plain,
% 9.34/6.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s314, c_t2)) | m_main_v_state2(s315, c_t2) | (~node13(s314, s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 9.34/6.97 tff(25197,plain,
% 9.34/6.97 (m_main_v_state2(s315, c_t2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25196, 518, 25096, 25175])).
% 9.34/6.97 tff(25198,plain,
% 9.34/6.97 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25199,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25200,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s314, c_t1)) | (~m_main_v_state1(s314, c_c1))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25199, 25198])).
% 9.34/6.97 tff(25201,plain,
% 9.34/6.97 (~m_main_v_state1(s314, c_t1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25200, 539, 25151])).
% 9.34/6.97 tff(25202,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s314, c_t1) | (~node5(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s314, c_t1) | (~node5(s314)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25203,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s314, c_t1) | (~node5(s314)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25204,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s314, c_t1) | (~node5(s314))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25203, 25202])).
% 9.34/6.97 tff(25205,plain,
% 9.34/6.97 (~node5(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25204, 550, 25201])).
% 9.34/6.97 tff(25206,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s314, c_n2) | (~node4(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s314, c_n2) | (~node4(s314)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25207,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s314, c_n2) | (~node4(s314)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25208,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s314, c_n2) | (~node4(s314))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25207, 25206])).
% 9.34/6.97 tff(25209,plain,
% 9.34/6.97 (~node4(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25208, 388, 25100])).
% 9.34/6.97 tff(25210,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s314, c_c2) | (~node3(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s314, c_c2) | (~node3(s314)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25211,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s314, c_c2) | (~node3(s314)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25212,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s314, c_c2) | (~node3(s314))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 9.34/6.97 tff(25213,plain,
% 9.34/6.97 (~node3(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25212, 399, 25116])).
% 9.34/6.97 tff(25214,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s314, c_n2) | (~node2(s314)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s314, c_n2) | (~node2(s314)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25215,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s314, c_n2) | (~node2(s314)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25216,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s314, c_n2) | (~node2(s314))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25215, 25214])).
% 9.34/6.97 tff(25217,plain,
% 9.34/6.97 (~node2(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25216, 410, 25100])).
% 9.34/6.97 tff(25218,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s314, c_n1) | (~node1(s314)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s314, c_n1) | (~node1(s314)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25219,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s314, c_n1) | (~node1(s314)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25220,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s314, c_n1) | (~node1(s314))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 9.34/6.97 tff(25221,plain,
% 9.34/6.97 (~node1(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25220, 421, 25155])).
% 9.34/6.97 tff(25222,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s314, s315)) | node7(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s314, s315)) | node7(s314, s315))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25223,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s314, s315)) | node7(s314, s315))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25224,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s314, s315)) | node7(s314, s315)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25223, 25222])).
% 9.34/6.97 tff(25225,plain,
% 9.34/6.97 (node7(s314, s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25224, 206, 25166])).
% 9.34/6.97 tff(25226,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25227,plain,
% 9.34/6.97 (((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1)) <=> (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25228,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315))))),
% 9.34/6.97 inference(monotonicity,[status(thm)],[25227])).
% 9.34/6.97 tff(25229,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)))),
% 9.34/6.97 inference(transitivity,[status(thm)],[25228, 25226])).
% 9.34/6.97 tff(25230,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315)) | m_main_v_state1(s315, c_n1))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25231,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314) | (~node7(s314, s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25230, 25229])).
% 9.34/6.97 tff(25232,plain,
% 9.34/6.97 (m_main_v_state1(s315, c_n1) | (~m_main_v_state1(s314, c_c1)) | node1(s314) | node2(s314) | node3(s314) | node4(s314) | node5(s314)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25231, 584, 25225])).
% 9.34/6.97 tff(25233,plain,
% 9.34/6.97 (m_main_v_state1(s315, c_n1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25232, 25221, 25151, 25217, 25213, 25209, 25205])).
% 9.34/6.97 tff(25234,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s315, c_n2) | (~node8(s315)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s315, c_n2) | (~node8(s315)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25235,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s315, c_n2) | (~node8(s315)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25236,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s315, c_n2) | (~node8(s315))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 9.34/6.97 tff(25237,plain,
% 9.34/6.97 (~node8(s315)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25236, 271, 25182])).
% 9.34/6.97 tff(25238,plain,
% 9.34/6.97 (succ(s315, s316) <=> succ(s315, s316)),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25239,axiom,(succ(s315, s316)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound316')).
% 9.34/6.97 tff(25240,plain,
% 9.34/6.97 (succ(s315, s316)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25239, 25238])).
% 9.34/6.97 tff(25241,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25242,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25243,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25242, 25241])).
% 9.34/6.97 tff(25244,plain,
% 9.34/6.97 (trans(s315, s316)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25243, 25240, 32])).
% 9.34/6.97 tff(25245,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s315, s316)) | node14(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s315, s316)) | node14(s315, s316))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25246,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s315, s316)) | node14(s315, s316))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25247,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s315, s316)) | node14(s315, s316)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25246, 25245])).
% 9.34/6.97 tff(25248,plain,
% 9.34/6.97 (node14(s315, s316)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25247, 46, 25244])).
% 9.34/6.97 tff(25249,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25250,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25251,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | (~node14(s315, s316)) | m_main_v_state2(s316, c_c2)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25250, 25249])).
% 9.34/6.97 tff(25252,plain,
% 9.34/6.97 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | node9(s315) | node8(s315) | node10(s315) | m_main_v_state2(s316, c_c2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25251, 617, 25248])).
% 9.34/6.97 tff(25253,plain,
% 9.34/6.97 (m_main_v_state2(s316, c_c2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25252, 25237, 25233, 25197, 25190, 25186])).
% 9.34/6.97 tff(25254,plain,
% 9.34/6.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25255,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25256,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_t2)) | (~m_main_v_state2(s316, c_c2))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 9.34/6.97 tff(25257,plain,
% 9.34/6.97 (~m_main_v_state2(s316, c_t2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25256, 260, 25253])).
% 9.34/6.97 tff(25258,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s316, c_t2) | (~node12(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s316, c_t2) | (~node12(s316)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25259,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s316, c_t2) | (~node12(s316)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25260,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s316, c_t2) | (~node12(s316))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 9.34/6.97 tff(25261,plain,
% 9.34/6.97 (~node12(s316)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25260, 633, 25257])).
% 9.34/6.97 tff(25262,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s315, s316)) | node7(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s315, s316)) | node7(s315, s316))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25263,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s315, s316)) | node7(s315, s316))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25264,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s315, s316)) | node7(s315, s316)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 9.34/6.97 tff(25265,plain,
% 9.34/6.97 (node7(s315, s316)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25264, 206, 25244])).
% 9.34/6.97 tff(25266,plain,
% 9.34/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25267,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25268,plain,
% 9.34/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node7(s315, s316)) | m_main_v_state1(s316, c_t1)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 9.34/6.97 tff(25269,plain,
% 9.34/6.97 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | m_main_v_state1(s316, c_t1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25268, 651, 25265])).
% 9.34/6.97 tff(25270,plain,
% 9.34/6.97 (m_main_v_state1(s316, c_t1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25269, 25197, 25233])).
% 9.34/6.97 tff(25271,plain,
% 9.34/6.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25272,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25273,plain,
% 9.34/6.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s316, c_n1)) | (~m_main_v_state1(s316, c_t1))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 9.34/6.97 tff(25274,plain,
% 9.34/6.97 (~m_main_v_state1(s316, c_n1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25273, 10, 25270])).
% 9.34/6.97 tff(25275,plain,
% 9.34/6.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s316, c_n1) | (~node11(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s316, c_n1) | (~node11(s316)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(25276,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s316, c_n1) | (~node11(s316)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(25277,plain,
% 9.34/6.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s316, c_n1) | (~node11(s316))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 9.34/6.97 tff(25278,plain,
% 9.34/6.97 (~node11(s316)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[25277, 238, 25274])).
% 9.34/6.97 tff(25279,plain,
% 9.34/6.97 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25280,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25281,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s316, c_t1)) | (~m_main_v_state1(s316, c_c1))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 9.34/6.98 tff(25282,plain,
% 9.34/6.98 (~m_main_v_state1(s316, c_c1)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25281, 539, 25270])).
% 9.34/6.98 tff(25283,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s316, c_c1) | (~node10(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s316, c_c1) | (~node10(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25284,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s316, c_c1) | (~node10(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25285,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s316, c_c1) | (~node10(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25284, 25283])).
% 9.34/6.98 tff(25286,plain,
% 9.34/6.98 (~node10(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25285, 675, 25282])).
% 9.34/6.98 tff(25287,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s316, c_n1) | (~node9(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s316, c_n1) | (~node9(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25288,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s316, c_n1) | (~node9(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25289,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s316, c_n1) | (~node9(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 9.34/6.98 tff(25290,plain,
% 9.34/6.98 (~node9(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25289, 686, 25274])).
% 9.34/6.98 tff(25291,plain,
% 9.34/6.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25292,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25293,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s316, c_n2)) | (~m_main_v_state2(s316, c_c2))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25292, 25291])).
% 9.34/6.98 tff(25294,plain,
% 9.34/6.98 (~m_main_v_state2(s316, c_n2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25293, 697, 25253])).
% 9.34/6.98 tff(25295,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s316, c_n2) | (~node8(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s316, c_n2) | (~node8(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25296,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s316, c_n2) | (~node8(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25297,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s316, c_n2) | (~node8(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 9.34/6.98 tff(25298,plain,
% 9.34/6.98 (~node8(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25297, 271, 25294])).
% 9.34/6.98 tff(25299,plain,
% 9.34/6.98 (succ(s316, s317) <=> succ(s316, s317)),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25300,axiom,(succ(s316, s317)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound317')).
% 9.34/6.98 tff(25301,plain,
% 9.34/6.98 (succ(s316, s317)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 9.34/6.98 tff(25302,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25303,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25304,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25303, 25302])).
% 9.34/6.98 tff(25305,plain,
% 9.34/6.98 (trans(s316, s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25304, 25301, 32])).
% 9.34/6.98 tff(25306,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s316, s317)) | node14(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s316, s317)) | node14(s316, s317))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25307,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s316, s317)) | node14(s316, s317))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25308,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s316, s317)) | node14(s316, s317)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 9.34/6.98 tff(25309,plain,
% 9.34/6.98 (node14(s316, s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25308, 46, 25305])).
% 9.34/6.98 tff(25310,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25311,plain,
% 9.34/6.98 (((~m_main_v_state2(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2)) <=> (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25312,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2))))),
% 9.34/6.98 inference(monotonicity,[status(thm)],[25311])).
% 9.34/6.98 tff(25313,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2)))),
% 9.34/6.98 inference(transitivity,[status(thm)],[25312, 25310])).
% 9.34/6.98 tff(25314,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s316, c_c2)) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | m_main_v_state2(s317, c_n2))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25315,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~node14(s316, s317)) | (~m_main_v_state2(s316, c_c2))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25314, 25313])).
% 9.34/6.98 tff(25316,plain,
% 9.34/6.98 (m_main_v_state2(s317, c_n2) | node9(s316) | node8(s316) | node10(s316) | node11(s316) | node12(s316) | (~m_main_v_state2(s316, c_c2))),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25315, 726, 25309])).
% 9.34/6.98 tff(25317,plain,
% 9.34/6.98 (m_main_v_state2(s317, c_n2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25316, 25298, 25253, 25290, 25286, 25278, 25261])).
% 9.34/6.98 tff(25318,plain,
% 9.34/6.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25319,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25320,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_c2))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 9.34/6.98 tff(25321,plain,
% 9.34/6.98 (~m_main_v_state2(s317, c_c2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25320, 697, 25317])).
% 9.34/6.98 tff(25322,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s317, c_c2) | (~node3(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s317, c_c2) | (~node3(s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25323,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s317, c_c2) | (~node3(s317)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25324,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s317, c_c2) | (~node3(s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 9.34/6.98 tff(25325,plain,
% 9.34/6.98 (~node3(s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25324, 399, 25321])).
% 9.34/6.98 tff(25326,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s316, c_n1) | (~node1(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s316, c_n1) | (~node1(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25327,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s316, c_n1) | (~node1(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25328,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s316, c_n1) | (~node1(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 9.34/6.98 tff(25329,plain,
% 9.34/6.98 (~node1(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25328, 421, 25274])).
% 9.34/6.98 tff(25330,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s315, s316)) | node18(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s315, s316)) | node18(s315, s316))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25331,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s315, s316)) | node18(s315, s316))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25332,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s315, s316)) | node18(s315, s316)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25331, 25330])).
% 9.34/6.98 tff(25333,plain,
% 9.34/6.98 (node18(s315, s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25332, 125, 25244])).
% 9.34/6.98 tff(25334,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25335,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25336,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | (~node18(s315, s316)) | m_main_v_turn(s316, c_2)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25335, 25334])).
% 9.34/6.98 tff(25337,plain,
% 9.34/6.98 ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state2(s315, c_t2)) | m_main_v_turn(s316, c_2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25336, 760, 25333])).
% 9.34/6.98 tff(25338,plain,
% 9.34/6.98 (m_main_v_turn(s316, c_2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25337, 25197, 25233])).
% 9.34/6.98 tff(25339,plain,
% 9.34/6.98 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25340,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25341,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s316, c_1)) | (~m_main_v_turn(s316, c_2))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25340, 25339])).
% 9.34/6.98 tff(25342,plain,
% 9.34/6.98 (~m_main_v_turn(s316, c_1)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25341, 156, 25338])).
% 9.34/6.98 tff(25343,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s316, c_1) | (~node5(s316)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s316, c_1) | (~node5(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25344,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s316, c_1) | (~node5(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25345,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s316, c_1) | (~node5(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25344, 25343])).
% 9.34/6.98 tff(25346,plain,
% 9.34/6.98 (~node5(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25345, 776, 25342])).
% 9.34/6.98 tff(25347,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s316, c_n1) | (~node2(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s316, c_n1) | (~node2(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25348,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s316, c_n1) | (~node2(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25349,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s316, c_n1) | (~node2(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25348, 25347])).
% 9.34/6.98 tff(25350,plain,
% 9.34/6.98 (~node2(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25349, 787, 25274])).
% 9.34/6.98 tff(25351,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s316, c_n1) | (~node3(s316)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s316, c_n1) | (~node3(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25352,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s316, c_n1) | (~node3(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25353,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s316, c_n1) | (~node3(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 9.34/6.98 tff(25354,plain,
% 9.34/6.98 (~node3(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25353, 798, 25274])).
% 9.34/6.98 tff(25355,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s316, c_n2) | (~node4(s316)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s316, c_n2) | (~node4(s316)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25356,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s316, c_n2) | (~node4(s316)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25357,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s316, c_n2) | (~node4(s316))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 9.34/6.98 tff(25358,plain,
% 9.34/6.98 (~node4(s316)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25357, 388, 25294])).
% 9.34/6.98 tff(25359,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s316, s317)) | node7(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s316, s317)) | node7(s316, s317))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25360,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s316, s317)) | node7(s316, s317))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25361,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s316, s317)) | node7(s316, s317)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 9.34/6.98 tff(25362,plain,
% 9.34/6.98 (node7(s316, s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25361, 206, 25305])).
% 9.34/6.98 tff(25363,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25364,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25365,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317) | (~node7(s316, s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 9.34/6.98 tff(25366,plain,
% 9.34/6.98 (m_main_v_state1(s316, c_c1) | node1(s316) | node2(s316) | node3(s316) | node4(s316) | node5(s316) | node6(s316, s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25365, 820, 25362])).
% 9.34/6.98 tff(25367,plain,
% 9.34/6.98 (node6(s316, s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25366, 25358, 25282, 25354, 25350, 25346, 25329])).
% 9.34/6.98 tff(25368,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25369,plain,
% 9.34/6.98 (((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1))) <=> (m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25370,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317))))),
% 9.34/6.98 inference(monotonicity,[status(thm)],[25369])).
% 9.34/6.98 tff(25371,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317)))),
% 9.34/6.98 inference(transitivity,[status(thm)],[25370, 25368])).
% 9.34/6.98 tff(25372,plain,
% 9.34/6.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s316, s317)) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25373,plain,
% 9.34/6.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s316, c_n1) | (~m_main_v_state1(s317, c_n1)) | (~node6(s316, s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 9.34/6.98 tff(25374,plain,
% 9.34/6.98 (~m_main_v_state1(s317, c_n1)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25373, 835, 25274, 25367])).
% 9.34/6.98 tff(25375,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s317, c_n1) | (~node2(s317)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s317, c_n1) | (~node2(s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25376,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s317, c_n1) | (~node2(s317)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25377,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s317, c_n1) | (~node2(s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 9.34/6.98 tff(25378,plain,
% 9.34/6.98 (~node2(s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25377, 787, 25374])).
% 9.34/6.98 tff(25379,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25380,plain,
% 9.34/6.98 (((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1)) <=> ((~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25381,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317))))),
% 9.34/6.98 inference(monotonicity,[status(thm)],[25380])).
% 9.34/6.98 tff(25382,plain,
% 9.34/6.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317)))),
% 9.34/6.98 inference(transitivity,[status(thm)],[25381, 25379])).
% 9.34/6.98 tff(25383,plain,
% 9.34/6.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s316, s317)) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25384,plain,
% 9.34/6.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s316, c_t1)) | m_main_v_state1(s317, c_t1) | (~node6(s316, s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 9.34/6.98 tff(25385,plain,
% 9.34/6.98 (m_main_v_state1(s317, c_t1)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25384, 856, 25270, 25367])).
% 9.34/6.98 tff(25386,plain,
% 9.34/6.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25387,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25388,plain,
% 9.34/6.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s317, c_n2)) | (~m_main_v_state2(s317, c_t2))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25387, 25386])).
% 9.34/6.98 tff(25389,plain,
% 9.34/6.98 (~m_main_v_state2(s317, c_t2)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25388, 77, 25317])).
% 9.34/6.98 tff(25390,plain,
% 9.34/6.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s317, c_t2) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s317, c_t2) | (~node1(s317)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25391,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s317, c_t2) | (~node1(s317)))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25392,plain,
% 9.34/6.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s317, c_t2) | (~node1(s317))),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25391, 25390])).
% 9.34/6.98 tff(25393,plain,
% 9.34/6.98 (~node1(s317)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25392, 195, 25389])).
% 9.34/6.98 tff(25394,plain,
% 9.34/6.98 (succ(s317, s318) <=> succ(s317, s318)),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25395,axiom,(succ(s317, s318)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound318')).
% 9.34/6.98 tff(25396,plain,
% 9.34/6.98 (succ(s317, s318)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25395, 25394])).
% 9.34/6.98 tff(25397,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25398,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25399,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25398, 25397])).
% 9.34/6.98 tff(25400,plain,
% 9.34/6.98 (trans(s317, s318)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25399, 25396, 32])).
% 9.34/6.98 tff(25401,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s317, s318)) | node7(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s317, s318)) | node7(s317, s318))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25402,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s317, s318)) | node7(s317, s318))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25403,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s317, s318)) | node7(s317, s318)),
% 9.34/6.98 inference(modus_ponens,[status(thm)],[25402, 25401])).
% 9.34/6.98 tff(25404,plain,
% 9.34/6.98 (node7(s317, s318)),
% 9.34/6.98 inference(unit_resolution,[status(thm)],[25403, 206, 25400])).
% 9.34/6.98 tff(25405,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25406,plain,
% 9.34/6.98 (((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1)) <=> ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 9.34/6.98 inference(rewrite,[status(thm)],[])).
% 9.34/6.98 tff(25407,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318))))),
% 9.34/6.98 inference(monotonicity,[status(thm)],[25406])).
% 9.34/6.98 tff(25408,plain,
% 9.34/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)))),
% 9.34/6.98 inference(transitivity,[status(thm)],[25407, 25405])).
% 9.34/6.98 tff(25409,plain,
% 9.34/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318)) | m_main_v_state1(s318, c_c1))),
% 9.34/6.98 inference(quant_inst,[status(thm)],[])).
% 9.34/6.98 tff(25410,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317) | (~node7(s317, s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 9.34/6.99 tff(25411,plain,
% 9.34/6.99 ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state1(s318, c_c1) | node1(s317) | node2(s317) | node3(s317)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25410, 892, 25404])).
% 9.34/6.99 tff(25412,plain,
% 9.34/6.99 (m_main_v_state1(s318, c_c1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25411, 25393, 25317, 25385, 25378, 25325])).
% 9.34/6.99 tff(25413,plain,
% 9.34/6.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25414,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25415,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_t1)) | (~m_main_v_state1(s318, c_c1))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 9.34/6.99 tff(25416,plain,
% 9.34/6.99 (~m_main_v_state1(s318, c_t1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25415, 539, 25412])).
% 9.34/6.99 tff(25417,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s318, c_t1) | (~node5(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s318, c_t1) | (~node5(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25418,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s318, c_t1) | (~node5(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25419,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s318, c_t1) | (~node5(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 9.34/6.99 tff(25420,plain,
% 9.34/6.99 (~node5(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25419, 550, 25416])).
% 9.34/6.99 tff(25421,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s317, s318)) | node14(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s317, s318)) | node14(s317, s318))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25422,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s317, s318)) | node14(s317, s318))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25423,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s317, s318)) | node14(s317, s318)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 9.34/6.99 tff(25424,plain,
% 9.34/6.99 (node14(s317, s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25423, 46, 25400])).
% 9.34/6.99 tff(25425,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25426,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25427,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | (~node14(s317, s318)) | m_main_v_state2(s318, c_t2)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 9.34/6.99 tff(25428,plain,
% 9.34/6.99 ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_state2(s318, c_t2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25427, 922, 25424])).
% 9.34/6.99 tff(25429,plain,
% 9.34/6.99 (m_main_v_state2(s318, c_t2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25428, 25385, 25317])).
% 9.34/6.99 tff(25430,plain,
% 9.34/6.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25431,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25432,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s318, c_n2)) | (~m_main_v_state2(s318, c_t2))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 9.34/6.99 tff(25433,plain,
% 9.34/6.99 (~m_main_v_state2(s318, c_n2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25432, 77, 25429])).
% 9.34/6.99 tff(25434,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s318, c_n2) | (~node4(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s318, c_n2) | (~node4(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25435,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s318, c_n2) | (~node4(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25436,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s318, c_n2) | (~node4(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 9.34/6.99 tff(25437,plain,
% 9.34/6.99 (~node4(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25436, 388, 25433])).
% 9.34/6.99 tff(25438,plain,
% 9.34/6.99 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25439,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25440,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s318, c_t2)) | (~m_main_v_state2(s318, c_c2))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 9.34/6.99 tff(25441,plain,
% 9.34/6.99 (~m_main_v_state2(s318, c_c2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25440, 260, 25429])).
% 9.34/6.99 tff(25442,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s318, c_c2) | (~node3(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s318, c_c2) | (~node3(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25443,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s318, c_c2) | (~node3(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25444,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s318, c_c2) | (~node3(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 9.34/6.99 tff(25445,plain,
% 9.34/6.99 (~node3(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25444, 399, 25441])).
% 9.34/6.99 tff(25446,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s318, c_n2) | (~node2(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s318, c_n2) | (~node2(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25447,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s318, c_n2) | (~node2(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25448,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s318, c_n2) | (~node2(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 9.34/6.99 tff(25449,plain,
% 9.34/6.99 (~node2(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25448, 410, 25433])).
% 9.34/6.99 tff(25450,plain,
% 9.34/6.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25451,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25452,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s318, c_n1)) | (~m_main_v_state1(s318, c_c1))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 9.34/6.99 tff(25453,plain,
% 9.34/6.99 (~m_main_v_state1(s318, c_n1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25452, 454, 25412])).
% 9.34/6.99 tff(25454,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s318, c_n1) | (~node1(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s318, c_n1) | (~node1(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25455,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s318, c_n1) | (~node1(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25456,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s318, c_n1) | (~node1(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25455, 25454])).
% 9.34/6.99 tff(25457,plain,
% 9.34/6.99 (~node1(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25456, 421, 25453])).
% 9.34/6.99 tff(25458,plain,
% 9.34/6.99 (succ(s318, s319) <=> succ(s318, s319)),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25459,axiom,(succ(s318, s319)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound319')).
% 9.34/6.99 tff(25460,plain,
% 9.34/6.99 (succ(s318, s319)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25459, 25458])).
% 9.34/6.99 tff(25461,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25462,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25463,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25462, 25461])).
% 9.34/6.99 tff(25464,plain,
% 9.34/6.99 (trans(s318, s319)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25463, 25460, 32])).
% 9.34/6.99 tff(25465,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s318, s319)) | node7(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s318, s319)) | node7(s318, s319))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25466,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s318, s319)) | node7(s318, s319))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25467,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s318, s319)) | node7(s318, s319)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 9.34/6.99 tff(25468,plain,
% 9.34/6.99 (node7(s318, s319)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25467, 206, 25464])).
% 9.34/6.99 tff(25469,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25470,plain,
% 9.34/6.99 (((~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1)) <=> (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25471,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319))))),
% 9.34/6.99 inference(monotonicity,[status(thm)],[25470])).
% 9.34/6.99 tff(25472,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)))),
% 9.34/6.99 inference(transitivity,[status(thm)],[25471, 25469])).
% 9.34/6.99 tff(25473,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319)) | m_main_v_state1(s319, c_n1))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25474,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318) | (~node7(s318, s319))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25473, 25472])).
% 9.34/6.99 tff(25475,plain,
% 9.34/6.99 (m_main_v_state1(s319, c_n1) | (~m_main_v_state1(s318, c_c1)) | node1(s318) | node2(s318) | node3(s318) | node4(s318) | node5(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25474, 584, 25468])).
% 9.34/6.99 tff(25476,plain,
% 9.34/6.99 (m_main_v_state1(s319, c_n1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25475, 25457, 25412, 25449, 25445, 25437, 25420])).
% 9.34/6.99 tff(25477,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s317, c_t2) | (~node15(s317)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s317, c_t2) | (~node15(s317)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25478,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s317, c_t2) | (~node15(s317)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25479,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s317, c_t2) | (~node15(s317))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25478, 25477])).
% 9.34/6.99 tff(25480,plain,
% 9.34/6.99 (~node15(s317)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25479, 103, 25389])).
% 9.34/6.99 tff(25481,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s317, s318)) | node18(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s317, s318)) | node18(s317, s318))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25482,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s317, s318)) | node18(s317, s318))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25483,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s317, s318)) | node18(s317, s318)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25482, 25481])).
% 9.34/6.99 tff(25484,plain,
% 9.34/6.99 (node18(s317, s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25483, 125, 25400])).
% 9.34/6.99 tff(25485,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25486,plain,
% 9.34/6.99 (((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1)) <=> (node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25487,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)))),
% 9.34/6.99 inference(monotonicity,[status(thm)],[25486])).
% 9.34/6.99 tff(25488,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1))),
% 9.34/6.99 inference(transitivity,[status(thm)],[25487, 25485])).
% 9.34/6.99 tff(25489,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | node15(s317) | (~node18(s317, s318)) | m_main_v_turn(s318, c_1))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25490,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s317) | (~node18(s317, s318)) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25489, 25488])).
% 9.34/6.99 tff(25491,plain,
% 9.34/6.99 (node15(s317) | (~m_main_v_state1(s317, c_t1)) | (~m_main_v_state2(s317, c_n2)) | m_main_v_turn(s318, c_1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25490, 992, 25484])).
% 9.34/6.99 tff(25492,plain,
% 9.34/6.99 (m_main_v_turn(s318, c_1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25491, 25480, 25317, 25385])).
% 9.34/6.99 tff(25493,plain,
% 9.34/6.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25494,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25495,plain,
% 9.34/6.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s318, c_1)) | (~m_main_v_turn(s318, c_2))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25494, 25493])).
% 9.34/6.99 tff(25496,plain,
% 9.34/6.99 (~m_main_v_turn(s318, c_2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25495, 156, 25492])).
% 9.34/6.99 tff(25497,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s318, c_2) | (~node12(s318)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s318, c_2) | (~node12(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25498,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s318, c_2) | (~node12(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25499,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s318, c_2) | (~node12(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25498, 25497])).
% 9.34/6.99 tff(25500,plain,
% 9.34/6.99 (~node12(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25499, 184, 25496])).
% 9.34/6.99 tff(25501,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s318, c_n2) | (~node8(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s318, c_n2) | (~node8(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25502,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s318, c_n2) | (~node8(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25503,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s318, c_n2) | (~node8(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25502, 25501])).
% 9.34/6.99 tff(25504,plain,
% 9.34/6.99 (~node8(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25503, 271, 25433])).
% 9.34/6.99 tff(25505,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s318, c_n2) | (~node9(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s318, c_n2) | (~node9(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25506,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s318, c_n2) | (~node9(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25507,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s318, c_n2) | (~node9(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25506, 25505])).
% 9.34/6.99 tff(25508,plain,
% 9.34/6.99 (~node9(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25507, 88, 25433])).
% 9.34/6.99 tff(25509,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s318, c_n2) | (~node10(s318)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s318, c_n2) | (~node10(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25510,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s318, c_n2) | (~node10(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25511,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s318, c_n2) | (~node10(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25510, 25509])).
% 9.34/6.99 tff(25512,plain,
% 9.34/6.99 (~node10(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25511, 249, 25433])).
% 9.34/6.99 tff(25513,plain,
% 9.34/6.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s318, c_n1) | (~node11(s318)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s318, c_n1) | (~node11(s318)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25514,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s318, c_n1) | (~node11(s318)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25515,plain,
% 9.34/6.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s318, c_n1) | (~node11(s318))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25514, 25513])).
% 9.34/6.99 tff(25516,plain,
% 9.34/6.99 (~node11(s318)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25515, 238, 25453])).
% 9.34/6.99 tff(25517,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s318, s319)) | node14(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s318, s319)) | node14(s318, s319))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25518,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s318, s319)) | node14(s318, s319))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25519,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s318, s319)) | node14(s318, s319)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25518, 25517])).
% 9.34/6.99 tff(25520,plain,
% 9.34/6.99 (node14(s318, s319)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25519, 46, 25464])).
% 9.34/6.99 tff(25521,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25522,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319)))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25523,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319) | (~node14(s318, s319))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25522, 25521])).
% 9.34/6.99 tff(25524,plain,
% 9.34/6.99 (m_main_v_state2(s318, c_c2) | node9(s318) | node8(s318) | node10(s318) | node11(s318) | node12(s318) | node13(s318, s319)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25523, 296, 25520])).
% 9.34/6.99 tff(25525,plain,
% 9.34/6.99 (node13(s318, s319)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25524, 25516, 25441, 25512, 25508, 25504, 25500])).
% 9.34/6.99 tff(25526,plain,
% 9.34/6.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25527,plain,
% 9.34/6.99 (((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2)) <=> ((~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25528,plain,
% 9.34/6.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319))))),
% 9.34/6.99 inference(monotonicity,[status(thm)],[25527])).
% 9.34/6.99 tff(25529,plain,
% 9.34/6.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319)))),
% 9.34/6.99 inference(transitivity,[status(thm)],[25528, 25526])).
% 9.34/6.99 tff(25530,plain,
% 9.34/6.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s318, s319)) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25531,plain,
% 9.34/6.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s318, c_t2)) | m_main_v_state2(s319, c_t2) | (~node13(s318, s319))),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25530, 25529])).
% 9.34/6.99 tff(25532,plain,
% 9.34/6.99 (m_main_v_state2(s319, c_t2)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25531, 518, 25429, 25525])).
% 9.34/6.99 tff(25533,plain,
% 9.34/6.99 (succ(s319, s320) <=> succ(s319, s320)),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25534,axiom,(succ(s319, s320)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound320')).
% 9.34/6.99 tff(25535,plain,
% 9.34/6.99 (succ(s319, s320)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25534, 25533])).
% 9.34/6.99 tff(25536,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25537,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25538,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25537, 25536])).
% 9.34/6.99 tff(25539,plain,
% 9.34/6.99 (trans(s319, s320)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25538, 25535, 32])).
% 9.34/6.99 tff(25540,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s319, s320)) | node7(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s319, s320)) | node7(s319, s320))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25541,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s319, s320)) | node7(s319, s320))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25542,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s319, s320)) | node7(s319, s320)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 9.34/6.99 tff(25543,plain,
% 9.34/6.99 (node7(s319, s320)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25542, 206, 25539])).
% 9.34/6.99 tff(25544,plain,
% 9.34/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1))),
% 9.34/6.99 inference(rewrite,[status(thm)],[])).
% 9.34/6.99 tff(25545,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1))),
% 9.34/6.99 inference(quant_inst,[status(thm)],[])).
% 9.34/6.99 tff(25546,plain,
% 9.34/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node7(s319, s320)) | m_main_v_state1(s320, c_t1)),
% 9.34/6.99 inference(modus_ponens,[status(thm)],[25545, 25544])).
% 9.34/6.99 tff(25547,plain,
% 9.34/6.99 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | m_main_v_state1(s320, c_t1)),
% 9.34/6.99 inference(unit_resolution,[status(thm)],[25546, 651, 25543])).
% 9.34/7.00 tff(25548,plain,
% 9.34/7.00 (m_main_v_state1(s320, c_t1)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25547, 25532, 25476])).
% 9.34/7.00 tff(25549,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25550,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25551,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s320, c_n1)) | (~m_main_v_state1(s320, c_t1))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 9.34/7.00 tff(25552,plain,
% 9.34/7.00 (~m_main_v_state1(s320, c_n1)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25551, 10, 25548])).
% 9.34/7.00 tff(25553,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s320, c_n1) | (~node1(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s320, c_n1) | (~node1(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25554,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s320, c_n1) | (~node1(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25555,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s320, c_n1) | (~node1(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25554, 25553])).
% 9.34/7.00 tff(25556,plain,
% 9.34/7.00 (~node1(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25555, 421, 25552])).
% 9.34/7.00 tff(25557,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s319, s320)) | node18(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s319, s320)) | node18(s319, s320))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25558,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s319, s320)) | node18(s319, s320))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25559,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s319, s320)) | node18(s319, s320)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25558, 25557])).
% 9.34/7.00 tff(25560,plain,
% 9.34/7.00 (node18(s319, s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25559, 125, 25539])).
% 9.34/7.00 tff(25561,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25562,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25563,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | (~node18(s319, s320)) | m_main_v_turn(s320, c_2)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25562, 25561])).
% 9.34/7.00 tff(25564,plain,
% 9.34/7.00 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | m_main_v_turn(s320, c_2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25563, 760, 25560])).
% 9.34/7.00 tff(25565,plain,
% 9.34/7.00 (m_main_v_turn(s320, c_2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25564, 25532, 25476])).
% 9.34/7.00 tff(25566,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25567,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25568,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s320, c_1)) | (~m_main_v_turn(s320, c_2))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25567, 25566])).
% 9.34/7.00 tff(25569,plain,
% 9.34/7.00 (~m_main_v_turn(s320, c_1)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25568, 156, 25565])).
% 9.34/7.00 tff(25570,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s320, c_1) | (~node5(s320)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s320, c_1) | (~node5(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25571,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s320, c_1) | (~node5(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25572,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s320, c_1) | (~node5(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 9.34/7.00 tff(25573,plain,
% 9.34/7.00 (~node5(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25572, 776, 25569])).
% 9.34/7.00 tff(25574,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s320, c_n1) | (~node2(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s320, c_n1) | (~node2(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25575,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s320, c_n1) | (~node2(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25576,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s320, c_n1) | (~node2(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25575, 25574])).
% 9.34/7.00 tff(25577,plain,
% 9.34/7.00 (~node2(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25576, 787, 25552])).
% 9.34/7.00 tff(25578,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s320, c_n1) | (~node3(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s320, c_n1) | (~node3(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25579,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s320, c_n1) | (~node3(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25580,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s320, c_n1) | (~node3(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 9.34/7.00 tff(25581,plain,
% 9.34/7.00 (~node3(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25580, 798, 25552])).
% 9.34/7.00 tff(25582,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25583,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25584,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s320, c_t1)) | (~m_main_v_state1(s320, c_c1))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 9.34/7.00 tff(25585,plain,
% 9.34/7.00 (~m_main_v_state1(s320, c_c1)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25584, 539, 25548])).
% 9.34/7.00 tff(25586,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25587,plain,
% 9.34/7.00 (((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2))) <=> (m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25588,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319))))),
% 9.34/7.00 inference(monotonicity,[status(thm)],[25587])).
% 9.34/7.00 tff(25589,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319)))),
% 9.34/7.00 inference(transitivity,[status(thm)],[25588, 25586])).
% 9.34/7.00 tff(25590,plain,
% 9.34/7.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s318, s319)) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25591,plain,
% 9.34/7.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s318, c_n2) | (~m_main_v_state2(s319, c_n2)) | (~node13(s318, s319))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25590, 25589])).
% 9.34/7.00 tff(25592,plain,
% 9.34/7.00 (~m_main_v_state2(s319, c_n2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25591, 311, 25433, 25525])).
% 9.34/7.00 tff(25593,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s319, c_n2) | (~node9(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s319, c_n2) | (~node9(s319)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25594,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s319, c_n2) | (~node9(s319)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25595,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s319, c_n2) | (~node9(s319))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25594, 25593])).
% 9.34/7.00 tff(25596,plain,
% 9.34/7.00 (~node9(s319)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25595, 88, 25592])).
% 9.34/7.00 tff(25597,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s319, c_n2) | (~node10(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s319, c_n2) | (~node10(s319)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25598,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s319, c_n2) | (~node10(s319)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25599,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s319, c_n2) | (~node10(s319))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25598, 25597])).
% 9.34/7.00 tff(25600,plain,
% 9.34/7.00 (~node10(s319)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25599, 249, 25592])).
% 9.34/7.00 tff(25601,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s319, c_n2) | (~node8(s319)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s319, c_n2) | (~node8(s319)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25602,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s319, c_n2) | (~node8(s319)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25603,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s319, c_n2) | (~node8(s319))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 9.34/7.00 tff(25604,plain,
% 9.34/7.00 (~node8(s319)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25603, 271, 25592])).
% 9.34/7.00 tff(25605,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s319, s320)) | node14(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s319, s320)) | node14(s319, s320))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25606,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s319, s320)) | node14(s319, s320))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25607,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s319, s320)) | node14(s319, s320)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 9.34/7.00 tff(25608,plain,
% 9.34/7.00 (node14(s319, s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25607, 46, 25539])).
% 9.34/7.00 tff(25609,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25610,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25611,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | (~node14(s319, s320)) | m_main_v_state2(s320, c_c2)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25610, 25609])).
% 9.34/7.00 tff(25612,plain,
% 9.34/7.00 ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state2(s319, c_t2)) | node9(s319) | node8(s319) | node10(s319) | m_main_v_state2(s320, c_c2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25611, 617, 25608])).
% 9.34/7.00 tff(25613,plain,
% 9.34/7.00 (m_main_v_state2(s320, c_c2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25612, 25604, 25476, 25532, 25600, 25596])).
% 9.34/7.00 tff(25614,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25615,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25616,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_n2)) | (~m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 9.34/7.00 tff(25617,plain,
% 9.34/7.00 (~m_main_v_state2(s320, c_n2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25616, 697, 25613])).
% 9.34/7.00 tff(25618,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s320, c_n2) | (~node4(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s320, c_n2) | (~node4(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25619,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s320, c_n2) | (~node4(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25620,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s320, c_n2) | (~node4(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25619, 25618])).
% 9.34/7.00 tff(25621,plain,
% 9.34/7.00 (~node4(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25620, 388, 25617])).
% 9.34/7.00 tff(25622,plain,
% 9.34/7.00 (succ(s320, s321) <=> succ(s320, s321)),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25623,axiom,(succ(s320, s321)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound321')).
% 9.34/7.00 tff(25624,plain,
% 9.34/7.00 (succ(s320, s321)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 9.34/7.00 tff(25625,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25626,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25627,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 9.34/7.00 tff(25628,plain,
% 9.34/7.00 (trans(s320, s321)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25627, 25624, 32])).
% 9.34/7.00 tff(25629,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s320, s321)) | node7(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s320, s321)) | node7(s320, s321))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25630,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s320, s321)) | node7(s320, s321))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25631,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s320, s321)) | node7(s320, s321)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 9.34/7.00 tff(25632,plain,
% 9.34/7.00 (node7(s320, s321)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25631, 206, 25628])).
% 9.34/7.00 tff(25633,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25634,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25635,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321) | (~node7(s320, s321))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 9.34/7.00 tff(25636,plain,
% 9.34/7.00 (m_main_v_state1(s320, c_c1) | node1(s320) | node2(s320) | node3(s320) | node4(s320) | node5(s320) | node6(s320, s321)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25635, 820, 25632])).
% 9.34/7.00 tff(25637,plain,
% 9.34/7.00 (node6(s320, s321)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25636, 25621, 25585, 25581, 25577, 25573, 25556])).
% 9.34/7.00 tff(25638,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25639,plain,
% 9.34/7.00 (((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1)) <=> ((~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25640,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321))))),
% 9.34/7.00 inference(monotonicity,[status(thm)],[25639])).
% 9.34/7.00 tff(25641,plain,
% 9.34/7.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321)))),
% 9.34/7.00 inference(transitivity,[status(thm)],[25640, 25638])).
% 9.34/7.00 tff(25642,plain,
% 9.34/7.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s320, s321)) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25643,plain,
% 9.34/7.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s320, c_t1)) | m_main_v_state1(s321, c_t1) | (~node6(s320, s321))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 9.34/7.00 tff(25644,plain,
% 9.34/7.00 (m_main_v_state1(s321, c_t1)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25643, 856, 25548, 25637])).
% 9.34/7.00 tff(25645,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25646,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25647,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s320, c_t2)) | (~m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 9.34/7.00 tff(25648,plain,
% 9.34/7.00 (~m_main_v_state2(s320, c_t2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25647, 260, 25613])).
% 9.34/7.00 tff(25649,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s320, c_t2) | (~node12(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s320, c_t2) | (~node12(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25650,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s320, c_t2) | (~node12(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25651,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s320, c_t2) | (~node12(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25650, 25649])).
% 9.34/7.00 tff(25652,plain,
% 9.34/7.00 (~node12(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25651, 633, 25648])).
% 9.34/7.00 tff(25653,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s320, c_n1) | (~node11(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s320, c_n1) | (~node11(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25654,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s320, c_n1) | (~node11(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25655,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s320, c_n1) | (~node11(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25654, 25653])).
% 9.34/7.00 tff(25656,plain,
% 9.34/7.00 (~node11(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25655, 238, 25552])).
% 9.34/7.00 tff(25657,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s320, c_c1) | (~node10(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s320, c_c1) | (~node10(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25658,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s320, c_c1) | (~node10(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25659,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s320, c_c1) | (~node10(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25658, 25657])).
% 9.34/7.00 tff(25660,plain,
% 9.34/7.00 (~node10(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25659, 675, 25585])).
% 9.34/7.00 tff(25661,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s320, c_n1) | (~node9(s320)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s320, c_n1) | (~node9(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25662,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s320, c_n1) | (~node9(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25663,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s320, c_n1) | (~node9(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 9.34/7.00 tff(25664,plain,
% 9.34/7.00 (~node9(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25663, 686, 25552])).
% 9.34/7.00 tff(25665,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s320, c_n2) | (~node8(s320)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s320, c_n2) | (~node8(s320)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25666,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s320, c_n2) | (~node8(s320)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25667,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s320, c_n2) | (~node8(s320))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 9.34/7.00 tff(25668,plain,
% 9.34/7.00 (~node8(s320)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25667, 271, 25617])).
% 9.34/7.00 tff(25669,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s320, s321)) | node14(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s320, s321)) | node14(s320, s321))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25670,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s320, s321)) | node14(s320, s321))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25671,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s320, s321)) | node14(s320, s321)),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 9.34/7.00 tff(25672,plain,
% 9.34/7.00 (node14(s320, s321)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25671, 46, 25628])).
% 9.34/7.00 tff(25673,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25674,plain,
% 9.34/7.00 (((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2)) <=> (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25675,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2))))),
% 9.34/7.00 inference(monotonicity,[status(thm)],[25674])).
% 9.34/7.00 tff(25676,plain,
% 9.34/7.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2)))),
% 9.34/7.00 inference(transitivity,[status(thm)],[25675, 25673])).
% 9.34/7.00 tff(25677,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s320, c_c2)) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | m_main_v_state2(s321, c_n2))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25678,plain,
% 9.34/7.00 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~node14(s320, s321)) | (~m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 9.34/7.00 tff(25679,plain,
% 9.34/7.00 (m_main_v_state2(s321, c_n2) | node9(s320) | node8(s320) | node10(s320) | node11(s320) | node12(s320) | (~m_main_v_state2(s320, c_c2))),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25678, 726, 25672])).
% 9.34/7.00 tff(25680,plain,
% 9.34/7.00 (m_main_v_state2(s321, c_n2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25679, 25668, 25613, 25664, 25660, 25656, 25652])).
% 9.34/7.00 tff(25681,plain,
% 9.34/7.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25682,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2)))),
% 9.34/7.00 inference(quant_inst,[status(thm)],[])).
% 9.34/7.00 tff(25683,plain,
% 9.34/7.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_t2))),
% 9.34/7.00 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 9.34/7.00 tff(25684,plain,
% 9.34/7.00 (~m_main_v_state2(s321, c_t2)),
% 9.34/7.00 inference(unit_resolution,[status(thm)],[25683, 77, 25680])).
% 9.34/7.00 tff(25685,plain,
% 9.34/7.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s321, c_t2) | (~node15(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s321, c_t2) | (~node15(s321)))),
% 9.34/7.00 inference(rewrite,[status(thm)],[])).
% 9.34/7.00 tff(25686,plain,
% 9.34/7.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s321, c_t2) | (~node15(s321)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25687,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s321, c_t2) | (~node15(s321))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 9.34/7.01 tff(25688,plain,
% 9.34/7.01 (~node15(s321)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25687, 103, 25684])).
% 9.34/7.01 tff(25689,plain,
% 9.34/7.01 (succ(s321, s322) <=> succ(s321, s322)),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25690,axiom,(succ(s321, s322)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound322')).
% 9.34/7.01 tff(25691,plain,
% 9.34/7.01 (succ(s321, s322)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25690, 25689])).
% 9.34/7.01 tff(25692,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25693,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25694,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 9.34/7.01 tff(25695,plain,
% 9.34/7.01 (trans(s321, s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25694, 25691, 32])).
% 9.34/7.01 tff(25696,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s321, s322)) | node18(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s321, s322)) | node18(s321, s322))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25697,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s321, s322)) | node18(s321, s322))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25698,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s321, s322)) | node18(s321, s322)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25697, 25696])).
% 9.34/7.01 tff(25699,plain,
% 9.34/7.01 (node18(s321, s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25698, 125, 25695])).
% 9.34/7.01 tff(25700,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25701,plain,
% 9.34/7.01 (((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1)) <=> (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25702,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)))),
% 9.34/7.01 inference(monotonicity,[status(thm)],[25701])).
% 9.34/7.01 tff(25703,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1))),
% 9.34/7.01 inference(transitivity,[status(thm)],[25702, 25700])).
% 9.34/7.01 tff(25704,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node15(s321) | (~node18(s321, s322)) | m_main_v_turn(s322, c_1))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25705,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s321) | (~node18(s321, s322)) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25704, 25703])).
% 9.34/7.01 tff(25706,plain,
% 9.34/7.01 (node15(s321) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_turn(s322, c_1)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25705, 992, 25699])).
% 9.34/7.01 tff(25707,plain,
% 9.34/7.01 (m_main_v_turn(s322, c_1)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25706, 25688, 25680, 25644])).
% 9.34/7.01 tff(25708,plain,
% 9.34/7.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25709,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25710,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s322, c_1)) | (~m_main_v_turn(s322, c_2))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 9.34/7.01 tff(25711,plain,
% 9.34/7.01 (~m_main_v_turn(s322, c_2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25710, 156, 25707])).
% 9.34/7.01 tff(25712,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s322, c_2) | (~node12(s322)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s322, c_2) | (~node12(s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25713,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s322, c_2) | (~node12(s322)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25714,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s322, c_2) | (~node12(s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 9.34/7.01 tff(25715,plain,
% 9.34/7.01 (~node12(s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25714, 184, 25711])).
% 9.34/7.01 tff(25716,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s321, s322)) | node14(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s321, s322)) | node14(s321, s322))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25717,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s321, s322)) | node14(s321, s322))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25718,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s321, s322)) | node14(s321, s322)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 9.34/7.01 tff(25719,plain,
% 9.34/7.01 (node14(s321, s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25718, 46, 25695])).
% 9.34/7.01 tff(25720,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25721,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25722,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | (~node14(s321, s322)) | m_main_v_state2(s322, c_t2)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 9.34/7.01 tff(25723,plain,
% 9.34/7.01 ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state2(s322, c_t2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25722, 922, 25719])).
% 9.34/7.01 tff(25724,plain,
% 9.34/7.01 (m_main_v_state2(s322, c_t2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25723, 25644, 25680])).
% 9.34/7.01 tff(25725,plain,
% 9.34/7.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25726,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25727,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s322, c_n2)) | (~m_main_v_state2(s322, c_t2))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25726, 25725])).
% 9.34/7.01 tff(25728,plain,
% 9.34/7.01 (~m_main_v_state2(s322, c_n2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25727, 77, 25724])).
% 9.34/7.01 tff(25729,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s322, c_n2) | (~node8(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s322, c_n2) | (~node8(s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25730,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s322, c_n2) | (~node8(s322)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25731,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s322, c_n2) | (~node8(s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25730, 25729])).
% 9.34/7.01 tff(25732,plain,
% 9.34/7.01 (~node8(s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25731, 271, 25728])).
% 9.34/7.01 tff(25733,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s322, c_n2) | (~node9(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s322, c_n2) | (~node9(s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25734,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s322, c_n2) | (~node9(s322)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25735,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s322, c_n2) | (~node9(s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25734, 25733])).
% 9.34/7.01 tff(25736,plain,
% 9.34/7.01 (~node9(s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25735, 88, 25728])).
% 9.34/7.01 tff(25737,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s322, c_n2) | (~node10(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s322, c_n2) | (~node10(s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25738,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s322, c_n2) | (~node10(s322)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25739,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s322, c_n2) | (~node10(s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 9.34/7.01 tff(25740,plain,
% 9.34/7.01 (~node10(s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25739, 249, 25728])).
% 9.34/7.01 tff(25741,plain,
% 9.34/7.01 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25742,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25743,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s322, c_t2)) | (~m_main_v_state2(s322, c_c2))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 9.34/7.01 tff(25744,plain,
% 9.34/7.01 (~m_main_v_state2(s322, c_c2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25743, 260, 25724])).
% 9.34/7.01 tff(25745,plain,
% 9.34/7.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25746,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25747,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s321, c_n2)) | (~m_main_v_state2(s321, c_c2))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 9.34/7.01 tff(25748,plain,
% 9.34/7.01 (~m_main_v_state2(s321, c_c2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25747, 697, 25680])).
% 9.34/7.01 tff(25749,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s321, c_c2) | (~node3(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s321, c_c2) | (~node3(s321)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25750,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s321, c_c2) | (~node3(s321)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25751,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s321, c_c2) | (~node3(s321))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 9.34/7.01 tff(25752,plain,
% 9.34/7.01 (~node3(s321)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25751, 399, 25748])).
% 9.34/7.01 tff(25753,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25754,plain,
% 9.34/7.01 (((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1))) <=> (m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25755,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321))))),
% 9.34/7.01 inference(monotonicity,[status(thm)],[25754])).
% 9.34/7.01 tff(25756,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321)))),
% 9.34/7.01 inference(transitivity,[status(thm)],[25755, 25753])).
% 9.34/7.01 tff(25757,plain,
% 9.34/7.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s320, s321)) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25758,plain,
% 9.34/7.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s320, c_n1) | (~m_main_v_state1(s321, c_n1)) | (~node6(s320, s321))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 9.34/7.01 tff(25759,plain,
% 9.34/7.01 (~m_main_v_state1(s321, c_n1)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25758, 835, 25552, 25637])).
% 9.34/7.01 tff(25760,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s321, c_n1) | (~node2(s321)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s321, c_n1) | (~node2(s321)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25761,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s321, c_n1) | (~node2(s321)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25762,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s321, c_n1) | (~node2(s321))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 9.34/7.01 tff(25763,plain,
% 9.34/7.01 (~node2(s321)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25762, 787, 25759])).
% 9.34/7.01 tff(25764,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s321, c_t2) | (~node1(s321)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s321, c_t2) | (~node1(s321)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25765,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s321, c_t2) | (~node1(s321)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25766,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s321, c_t2) | (~node1(s321))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 9.34/7.01 tff(25767,plain,
% 9.34/7.01 (~node1(s321)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25766, 195, 25684])).
% 9.34/7.01 tff(25768,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s321, s322)) | node7(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s321, s322)) | node7(s321, s322))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25769,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s321, s322)) | node7(s321, s322))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25770,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s321, s322)) | node7(s321, s322)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 9.34/7.01 tff(25771,plain,
% 9.34/7.01 (node7(s321, s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25770, 206, 25695])).
% 9.34/7.01 tff(25772,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25773,plain,
% 9.34/7.01 (((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1)) <=> ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25774,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322))))),
% 9.34/7.01 inference(monotonicity,[status(thm)],[25773])).
% 9.34/7.01 tff(25775,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)))),
% 9.34/7.01 inference(transitivity,[status(thm)],[25774, 25772])).
% 9.34/7.01 tff(25776,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322)) | m_main_v_state1(s322, c_c1))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25777,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321) | (~node7(s321, s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25776, 25775])).
% 9.34/7.01 tff(25778,plain,
% 9.34/7.01 ((~m_main_v_state1(s321, c_t1)) | (~m_main_v_state2(s321, c_n2)) | m_main_v_state1(s322, c_c1) | node1(s321) | node2(s321) | node3(s321)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25777, 892, 25771])).
% 9.34/7.01 tff(25779,plain,
% 9.34/7.01 (m_main_v_state1(s322, c_c1)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25778, 25767, 25680, 25644, 25763, 25752])).
% 9.34/7.01 tff(25780,plain,
% 9.34/7.01 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25781,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25782,plain,
% 9.34/7.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_n1)) | (~m_main_v_state1(s322, c_c1))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 9.34/7.01 tff(25783,plain,
% 9.34/7.01 (~m_main_v_state1(s322, c_n1)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25782, 454, 25779])).
% 9.34/7.01 tff(25784,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s322, c_n1) | (~node11(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s322, c_n1) | (~node11(s322)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25785,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s322, c_n1) | (~node11(s322)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25786,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s322, c_n1) | (~node11(s322))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25785, 25784])).
% 9.34/7.01 tff(25787,plain,
% 9.34/7.01 (~node11(s322)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25786, 238, 25783])).
% 9.34/7.01 tff(25788,plain,
% 9.34/7.01 (succ(s322, s323) <=> succ(s322, s323)),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25789,axiom,(succ(s322, s323)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound323')).
% 9.34/7.01 tff(25790,plain,
% 9.34/7.01 (succ(s322, s323)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25789, 25788])).
% 9.34/7.01 tff(25791,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25792,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25793,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25792, 25791])).
% 9.34/7.01 tff(25794,plain,
% 9.34/7.01 (trans(s322, s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25793, 25790, 32])).
% 9.34/7.01 tff(25795,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s322, s323)) | node14(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s322, s323)) | node14(s322, s323))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25796,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s322, s323)) | node14(s322, s323))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25797,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s322, s323)) | node14(s322, s323)),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 9.34/7.01 tff(25798,plain,
% 9.34/7.01 (node14(s322, s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25797, 46, 25794])).
% 9.34/7.01 tff(25799,plain,
% 9.34/7.01 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25800,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25801,plain,
% 9.34/7.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323) | (~node14(s322, s323))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 9.34/7.01 tff(25802,plain,
% 9.34/7.01 (m_main_v_state2(s322, c_c2) | node9(s322) | node8(s322) | node10(s322) | node11(s322) | node12(s322) | node13(s322, s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25801, 296, 25798])).
% 9.34/7.01 tff(25803,plain,
% 9.34/7.01 (node13(s322, s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25802, 25787, 25744, 25740, 25736, 25732, 25715])).
% 9.34/7.01 tff(25804,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25805,plain,
% 9.34/7.01 (((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2))) <=> (m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25806,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323))))),
% 9.34/7.01 inference(monotonicity,[status(thm)],[25805])).
% 9.34/7.01 tff(25807,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323)))),
% 9.34/7.01 inference(transitivity,[status(thm)],[25806, 25804])).
% 9.34/7.01 tff(25808,plain,
% 9.34/7.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s322, s323)) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25809,plain,
% 9.34/7.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s322, c_n2) | (~m_main_v_state2(s323, c_n2)) | (~node13(s322, s323))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 9.34/7.01 tff(25810,plain,
% 9.34/7.01 (~m_main_v_state2(s323, c_n2)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25809, 311, 25728, 25803])).
% 9.34/7.01 tff(25811,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s323, c_n2) | (~node9(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s323, c_n2) | (~node9(s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25812,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s323, c_n2) | (~node9(s323)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25813,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s323, c_n2) | (~node9(s323))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 9.34/7.01 tff(25814,plain,
% 9.34/7.01 (~node9(s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25813, 88, 25810])).
% 9.34/7.01 tff(25815,plain,
% 9.34/7.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s323, c_n2) | (~node10(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s323, c_n2) | (~node10(s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25816,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s323, c_n2) | (~node10(s323)))),
% 9.34/7.01 inference(quant_inst,[status(thm)],[])).
% 9.34/7.01 tff(25817,plain,
% 9.34/7.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s323, c_n2) | (~node10(s323))),
% 9.34/7.01 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 9.34/7.01 tff(25818,plain,
% 9.34/7.01 (~node10(s323)),
% 9.34/7.01 inference(unit_resolution,[status(thm)],[25817, 249, 25810])).
% 9.34/7.01 tff(25819,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25820,plain,
% 9.34/7.01 (((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2)) <=> ((~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 9.34/7.01 inference(rewrite,[status(thm)],[])).
% 9.34/7.01 tff(25821,plain,
% 9.34/7.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323))))),
% 9.34/7.02 inference(monotonicity,[status(thm)],[25820])).
% 9.34/7.02 tff(25822,plain,
% 9.34/7.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323)))),
% 9.34/7.02 inference(transitivity,[status(thm)],[25821, 25819])).
% 9.34/7.02 tff(25823,plain,
% 9.34/7.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s322, s323)) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25824,plain,
% 9.34/7.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s322, c_t2)) | m_main_v_state2(s323, c_t2) | (~node13(s322, s323))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25823, 25822])).
% 9.34/7.02 tff(25825,plain,
% 9.34/7.02 (m_main_v_state2(s323, c_t2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25824, 518, 25724, 25803])).
% 9.34/7.02 tff(25826,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25827,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25828,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s322, c_t1)) | (~m_main_v_state1(s322, c_c1))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 9.34/7.02 tff(25829,plain,
% 9.34/7.02 (~m_main_v_state1(s322, c_t1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25828, 539, 25779])).
% 9.34/7.02 tff(25830,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s322, c_t1) | (~node5(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s322, c_t1) | (~node5(s322)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25831,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s322, c_t1) | (~node5(s322)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25832,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s322, c_t1) | (~node5(s322))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25831, 25830])).
% 9.34/7.02 tff(25833,plain,
% 9.34/7.02 (~node5(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25832, 550, 25829])).
% 9.34/7.02 tff(25834,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s322, c_n2) | (~node4(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s322, c_n2) | (~node4(s322)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25835,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s322, c_n2) | (~node4(s322)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25836,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s322, c_n2) | (~node4(s322))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25835, 25834])).
% 9.34/7.02 tff(25837,plain,
% 9.34/7.02 (~node4(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25836, 388, 25728])).
% 9.34/7.02 tff(25838,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s322, c_c2) | (~node3(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s322, c_c2) | (~node3(s322)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25839,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s322, c_c2) | (~node3(s322)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25840,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s322, c_c2) | (~node3(s322))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 9.34/7.02 tff(25841,plain,
% 9.34/7.02 (~node3(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25840, 399, 25744])).
% 9.34/7.02 tff(25842,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s322, c_n2) | (~node2(s322)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s322, c_n2) | (~node2(s322)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25843,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s322, c_n2) | (~node2(s322)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25844,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s322, c_n2) | (~node2(s322))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25843, 25842])).
% 9.34/7.02 tff(25845,plain,
% 9.34/7.02 (~node2(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25844, 410, 25728])).
% 9.34/7.02 tff(25846,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s322, c_n1) | (~node1(s322)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s322, c_n1) | (~node1(s322)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25847,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s322, c_n1) | (~node1(s322)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25848,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s322, c_n1) | (~node1(s322))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25847, 25846])).
% 9.34/7.02 tff(25849,plain,
% 9.34/7.02 (~node1(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25848, 421, 25783])).
% 9.34/7.02 tff(25850,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s322, s323)) | node7(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s322, s323)) | node7(s322, s323))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25851,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s322, s323)) | node7(s322, s323))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25852,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s322, s323)) | node7(s322, s323)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 9.34/7.02 tff(25853,plain,
% 9.34/7.02 (node7(s322, s323)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25852, 206, 25794])).
% 9.34/7.02 tff(25854,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25855,plain,
% 9.34/7.02 (((~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1)) <=> (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25856,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323))))),
% 9.34/7.02 inference(monotonicity,[status(thm)],[25855])).
% 9.34/7.02 tff(25857,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)))),
% 9.34/7.02 inference(transitivity,[status(thm)],[25856, 25854])).
% 9.34/7.02 tff(25858,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323)) | m_main_v_state1(s323, c_n1))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25859,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322) | (~node7(s322, s323))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 9.34/7.02 tff(25860,plain,
% 9.34/7.02 (m_main_v_state1(s323, c_n1) | (~m_main_v_state1(s322, c_c1)) | node1(s322) | node2(s322) | node3(s322) | node4(s322) | node5(s322)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25859, 584, 25853])).
% 9.34/7.02 tff(25861,plain,
% 9.34/7.02 (m_main_v_state1(s323, c_n1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25860, 25849, 25779, 25845, 25841, 25837, 25833])).
% 9.34/7.02 tff(25862,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s323, c_n2) | (~node8(s323)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s323, c_n2) | (~node8(s323)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25863,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s323, c_n2) | (~node8(s323)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25864,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s323, c_n2) | (~node8(s323))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25863, 25862])).
% 9.34/7.02 tff(25865,plain,
% 9.34/7.02 (~node8(s323)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25864, 271, 25810])).
% 9.34/7.02 tff(25866,plain,
% 9.34/7.02 (succ(s323, s324) <=> succ(s323, s324)),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25867,axiom,(succ(s323, s324)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound324')).
% 9.34/7.02 tff(25868,plain,
% 9.34/7.02 (succ(s323, s324)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 9.34/7.02 tff(25869,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25870,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25871,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 9.34/7.02 tff(25872,plain,
% 9.34/7.02 (trans(s323, s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25871, 25868, 32])).
% 9.34/7.02 tff(25873,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s323, s324)) | node14(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s323, s324)) | node14(s323, s324))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25874,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s323, s324)) | node14(s323, s324))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25875,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s323, s324)) | node14(s323, s324)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 9.34/7.02 tff(25876,plain,
% 9.34/7.02 (node14(s323, s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25875, 46, 25872])).
% 9.34/7.02 tff(25877,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25878,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25879,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | (~node14(s323, s324)) | m_main_v_state2(s324, c_c2)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 9.34/7.02 tff(25880,plain,
% 9.34/7.02 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | node9(s323) | node8(s323) | node10(s323) | m_main_v_state2(s324, c_c2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25879, 617, 25876])).
% 9.34/7.02 tff(25881,plain,
% 9.34/7.02 (m_main_v_state2(s324, c_c2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25880, 25865, 25861, 25825, 25818, 25814])).
% 9.34/7.02 tff(25882,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25883,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25884,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_t2)) | (~m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25883, 25882])).
% 9.34/7.02 tff(25885,plain,
% 9.34/7.02 (~m_main_v_state2(s324, c_t2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25884, 260, 25881])).
% 9.34/7.02 tff(25886,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s324, c_t2) | (~node12(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s324, c_t2) | (~node12(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25887,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s324, c_t2) | (~node12(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25888,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s324, c_t2) | (~node12(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 9.34/7.02 tff(25889,plain,
% 9.34/7.02 (~node12(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25888, 633, 25885])).
% 9.34/7.02 tff(25890,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s323, s324)) | node7(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s323, s324)) | node7(s323, s324))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25891,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s323, s324)) | node7(s323, s324))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25892,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s323, s324)) | node7(s323, s324)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25891, 25890])).
% 9.34/7.02 tff(25893,plain,
% 9.34/7.02 (node7(s323, s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25892, 206, 25872])).
% 9.34/7.02 tff(25894,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25895,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25896,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node7(s323, s324)) | m_main_v_state1(s324, c_t1)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25895, 25894])).
% 9.34/7.02 tff(25897,plain,
% 9.34/7.02 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | m_main_v_state1(s324, c_t1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25896, 651, 25893])).
% 9.34/7.02 tff(25898,plain,
% 9.34/7.02 (m_main_v_state1(s324, c_t1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25897, 25825, 25861])).
% 9.34/7.02 tff(25899,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25900,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25901,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s324, c_n1)) | (~m_main_v_state1(s324, c_t1))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 9.34/7.02 tff(25902,plain,
% 9.34/7.02 (~m_main_v_state1(s324, c_n1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25901, 10, 25898])).
% 9.34/7.02 tff(25903,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s324, c_n1) | (~node11(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s324, c_n1) | (~node11(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25904,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s324, c_n1) | (~node11(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25905,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s324, c_n1) | (~node11(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 9.34/7.02 tff(25906,plain,
% 9.34/7.02 (~node11(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25905, 238, 25902])).
% 9.34/7.02 tff(25907,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25908,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25909,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s324, c_t1)) | (~m_main_v_state1(s324, c_c1))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25908, 25907])).
% 9.34/7.02 tff(25910,plain,
% 9.34/7.02 (~m_main_v_state1(s324, c_c1)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25909, 539, 25898])).
% 9.34/7.02 tff(25911,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s324, c_c1) | (~node10(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s324, c_c1) | (~node10(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25912,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s324, c_c1) | (~node10(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25913,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s324, c_c1) | (~node10(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 9.34/7.02 tff(25914,plain,
% 9.34/7.02 (~node10(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25913, 675, 25910])).
% 9.34/7.02 tff(25915,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s324, c_n1) | (~node9(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s324, c_n1) | (~node9(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25916,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s324, c_n1) | (~node9(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25917,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s324, c_n1) | (~node9(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 9.34/7.02 tff(25918,plain,
% 9.34/7.02 (~node9(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25917, 686, 25902])).
% 9.34/7.02 tff(25919,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25920,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25921,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s324, c_n2)) | (~m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 9.34/7.02 tff(25922,plain,
% 9.34/7.02 (~m_main_v_state2(s324, c_n2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25921, 697, 25881])).
% 9.34/7.02 tff(25923,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s324, c_n2) | (~node8(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s324, c_n2) | (~node8(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25924,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s324, c_n2) | (~node8(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25925,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s324, c_n2) | (~node8(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 9.34/7.02 tff(25926,plain,
% 9.34/7.02 (~node8(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25925, 271, 25922])).
% 9.34/7.02 tff(25927,plain,
% 9.34/7.02 (succ(s324, s325) <=> succ(s324, s325)),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25928,axiom,(succ(s324, s325)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound325')).
% 9.34/7.02 tff(25929,plain,
% 9.34/7.02 (succ(s324, s325)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 9.34/7.02 tff(25930,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25931,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25932,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 9.34/7.02 tff(25933,plain,
% 9.34/7.02 (trans(s324, s325)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25932, 25929, 32])).
% 9.34/7.02 tff(25934,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s324, s325)) | node14(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s324, s325)) | node14(s324, s325))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25935,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s324, s325)) | node14(s324, s325))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25936,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s324, s325)) | node14(s324, s325)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25935, 25934])).
% 9.34/7.02 tff(25937,plain,
% 9.34/7.02 (node14(s324, s325)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25936, 46, 25933])).
% 9.34/7.02 tff(25938,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25939,plain,
% 9.34/7.02 (((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2)) <=> (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25940,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2))))),
% 9.34/7.02 inference(monotonicity,[status(thm)],[25939])).
% 9.34/7.02 tff(25941,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2)))),
% 9.34/7.02 inference(transitivity,[status(thm)],[25940, 25938])).
% 9.34/7.02 tff(25942,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s324, c_c2)) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | m_main_v_state2(s325, c_n2))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25943,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~node14(s324, s325)) | (~m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 9.34/7.02 tff(25944,plain,
% 9.34/7.02 (m_main_v_state2(s325, c_n2) | node9(s324) | node8(s324) | node10(s324) | node11(s324) | node12(s324) | (~m_main_v_state2(s324, c_c2))),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25943, 726, 25937])).
% 9.34/7.02 tff(25945,plain,
% 9.34/7.02 (m_main_v_state2(s325, c_n2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25944, 25926, 25881, 25918, 25914, 25906, 25889])).
% 9.34/7.02 tff(25946,plain,
% 9.34/7.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25947,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25948,plain,
% 9.34/7.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_c2))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25947, 25946])).
% 9.34/7.02 tff(25949,plain,
% 9.34/7.02 (~m_main_v_state2(s325, c_c2)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25948, 697, 25945])).
% 9.34/7.02 tff(25950,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s325, c_c2) | (~node3(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s325, c_c2) | (~node3(s325)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25951,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s325, c_c2) | (~node3(s325)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25952,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s325, c_c2) | (~node3(s325))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25951, 25950])).
% 9.34/7.02 tff(25953,plain,
% 9.34/7.02 (~node3(s325)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25952, 399, 25949])).
% 9.34/7.02 tff(25954,plain,
% 9.34/7.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s324, c_n1) | (~node1(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s324, c_n1) | (~node1(s324)))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25955,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s324, c_n1) | (~node1(s324)))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25956,plain,
% 9.34/7.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s324, c_n1) | (~node1(s324))),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25955, 25954])).
% 9.34/7.02 tff(25957,plain,
% 9.34/7.02 (~node1(s324)),
% 9.34/7.02 inference(unit_resolution,[status(thm)],[25956, 421, 25902])).
% 9.34/7.02 tff(25958,plain,
% 9.34/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s323, s324)) | node18(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s323, s324)) | node18(s323, s324))),
% 9.34/7.02 inference(rewrite,[status(thm)],[])).
% 9.34/7.02 tff(25959,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s323, s324)) | node18(s323, s324))),
% 9.34/7.02 inference(quant_inst,[status(thm)],[])).
% 9.34/7.02 tff(25960,plain,
% 9.34/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s323, s324)) | node18(s323, s324)),
% 9.34/7.02 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 9.34/7.03 tff(25961,plain,
% 9.34/7.03 (node18(s323, s324)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25960, 125, 25872])).
% 9.34/7.03 tff(25962,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25963,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25964,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | (~node18(s323, s324)) | m_main_v_turn(s324, c_2)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 9.34/7.03 tff(25965,plain,
% 9.34/7.03 ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state2(s323, c_t2)) | m_main_v_turn(s324, c_2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25964, 760, 25961])).
% 9.34/7.03 tff(25966,plain,
% 9.34/7.03 (m_main_v_turn(s324, c_2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25965, 25825, 25861])).
% 9.34/7.03 tff(25967,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25968,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25969,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s324, c_1)) | (~m_main_v_turn(s324, c_2))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 9.34/7.03 tff(25970,plain,
% 9.34/7.03 (~m_main_v_turn(s324, c_1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25969, 156, 25966])).
% 9.34/7.03 tff(25971,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s324, c_1) | (~node5(s324)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s324, c_1) | (~node5(s324)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25972,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s324, c_1) | (~node5(s324)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25973,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s324, c_1) | (~node5(s324))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25972, 25971])).
% 9.34/7.03 tff(25974,plain,
% 9.34/7.03 (~node5(s324)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25973, 776, 25970])).
% 9.34/7.03 tff(25975,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s324, c_n1) | (~node2(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s324, c_n1) | (~node2(s324)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25976,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s324, c_n1) | (~node2(s324)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25977,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s324, c_n1) | (~node2(s324))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25976, 25975])).
% 9.34/7.03 tff(25978,plain,
% 9.34/7.03 (~node2(s324)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25977, 787, 25902])).
% 9.34/7.03 tff(25979,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s324, c_n1) | (~node3(s324)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s324, c_n1) | (~node3(s324)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25980,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s324, c_n1) | (~node3(s324)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25981,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s324, c_n1) | (~node3(s324))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25980, 25979])).
% 9.34/7.03 tff(25982,plain,
% 9.34/7.03 (~node3(s324)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25981, 798, 25902])).
% 9.34/7.03 tff(25983,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s324, c_n2) | (~node4(s324)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s324, c_n2) | (~node4(s324)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25984,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s324, c_n2) | (~node4(s324)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25985,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s324, c_n2) | (~node4(s324))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25984, 25983])).
% 9.34/7.03 tff(25986,plain,
% 9.34/7.03 (~node4(s324)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25985, 388, 25922])).
% 9.34/7.03 tff(25987,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s324, s325)) | node7(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s324, s325)) | node7(s324, s325))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25988,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s324, s325)) | node7(s324, s325))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25989,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s324, s325)) | node7(s324, s325)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 9.34/7.03 tff(25990,plain,
% 9.34/7.03 (node7(s324, s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25989, 206, 25933])).
% 9.34/7.03 tff(25991,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25992,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(25993,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325) | (~node7(s324, s325))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[25992, 25991])).
% 9.34/7.03 tff(25994,plain,
% 9.34/7.03 (m_main_v_state1(s324, c_c1) | node1(s324) | node2(s324) | node3(s324) | node4(s324) | node5(s324) | node6(s324, s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25993, 820, 25990])).
% 9.34/7.03 tff(25995,plain,
% 9.34/7.03 (node6(s324, s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[25994, 25986, 25910, 25982, 25978, 25974, 25957])).
% 9.34/7.03 tff(25996,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25997,plain,
% 9.34/7.03 (((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1))) <=> (m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(25998,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325))))),
% 9.34/7.03 inference(monotonicity,[status(thm)],[25997])).
% 9.34/7.03 tff(25999,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325)))),
% 9.34/7.03 inference(transitivity,[status(thm)],[25998, 25996])).
% 9.34/7.03 tff(26000,plain,
% 9.34/7.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s324, s325)) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26001,plain,
% 9.34/7.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s324, c_n1) | (~m_main_v_state1(s325, c_n1)) | (~node6(s324, s325))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26000, 25999])).
% 9.34/7.03 tff(26002,plain,
% 9.34/7.03 (~m_main_v_state1(s325, c_n1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26001, 835, 25902, 25995])).
% 9.34/7.03 tff(26003,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s325, c_n1) | (~node2(s325)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s325, c_n1) | (~node2(s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26004,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s325, c_n1) | (~node2(s325)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26005,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s325, c_n1) | (~node2(s325))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 9.34/7.03 tff(26006,plain,
% 9.34/7.03 (~node2(s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26005, 787, 26002])).
% 9.34/7.03 tff(26007,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26008,plain,
% 9.34/7.03 (((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1)) <=> ((~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26009,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325))))),
% 9.34/7.03 inference(monotonicity,[status(thm)],[26008])).
% 9.34/7.03 tff(26010,plain,
% 9.34/7.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325)))),
% 9.34/7.03 inference(transitivity,[status(thm)],[26009, 26007])).
% 9.34/7.03 tff(26011,plain,
% 9.34/7.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s324, s325)) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26012,plain,
% 9.34/7.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s324, c_t1)) | m_main_v_state1(s325, c_t1) | (~node6(s324, s325))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 9.34/7.03 tff(26013,plain,
% 9.34/7.03 (m_main_v_state1(s325, c_t1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26012, 856, 25898, 25995])).
% 9.34/7.03 tff(26014,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26015,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26016,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s325, c_n2)) | (~m_main_v_state2(s325, c_t2))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26015, 26014])).
% 9.34/7.03 tff(26017,plain,
% 9.34/7.03 (~m_main_v_state2(s325, c_t2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26016, 77, 25945])).
% 9.34/7.03 tff(26018,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s325, c_t2) | (~node1(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s325, c_t2) | (~node1(s325)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26019,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s325, c_t2) | (~node1(s325)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26020,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s325, c_t2) | (~node1(s325))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26019, 26018])).
% 9.34/7.03 tff(26021,plain,
% 9.34/7.03 (~node1(s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26020, 195, 26017])).
% 9.34/7.03 tff(26022,plain,
% 9.34/7.03 (succ(s325, s326) <=> succ(s325, s326)),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26023,axiom,(succ(s325, s326)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound326')).
% 9.34/7.03 tff(26024,plain,
% 9.34/7.03 (succ(s325, s326)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 9.34/7.03 tff(26025,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26026,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26027,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 9.34/7.03 tff(26028,plain,
% 9.34/7.03 (trans(s325, s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26027, 26024, 32])).
% 9.34/7.03 tff(26029,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s325, s326)) | node7(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s325, s326)) | node7(s325, s326))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26030,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s325, s326)) | node7(s325, s326))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26031,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s325, s326)) | node7(s325, s326)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 9.34/7.03 tff(26032,plain,
% 9.34/7.03 (node7(s325, s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26031, 206, 26028])).
% 9.34/7.03 tff(26033,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26034,plain,
% 9.34/7.03 (((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1)) <=> ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26035,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326))))),
% 9.34/7.03 inference(monotonicity,[status(thm)],[26034])).
% 9.34/7.03 tff(26036,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)))),
% 9.34/7.03 inference(transitivity,[status(thm)],[26035, 26033])).
% 9.34/7.03 tff(26037,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326)) | m_main_v_state1(s326, c_c1))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26038,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325) | (~node7(s325, s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26037, 26036])).
% 9.34/7.03 tff(26039,plain,
% 9.34/7.03 ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state1(s326, c_c1) | node1(s325) | node2(s325) | node3(s325)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26038, 892, 26032])).
% 9.34/7.03 tff(26040,plain,
% 9.34/7.03 (m_main_v_state1(s326, c_c1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26039, 26021, 25945, 26013, 26006, 25953])).
% 9.34/7.03 tff(26041,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26042,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26043,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_t1)) | (~m_main_v_state1(s326, c_c1))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26042, 26041])).
% 9.34/7.03 tff(26044,plain,
% 9.34/7.03 (~m_main_v_state1(s326, c_t1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26043, 539, 26040])).
% 9.34/7.03 tff(26045,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s326, c_t1) | (~node5(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s326, c_t1) | (~node5(s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26046,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s326, c_t1) | (~node5(s326)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26047,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s326, c_t1) | (~node5(s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 9.34/7.03 tff(26048,plain,
% 9.34/7.03 (~node5(s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26047, 550, 26044])).
% 9.34/7.03 tff(26049,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s325, s326)) | node14(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s325, s326)) | node14(s325, s326))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26050,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s325, s326)) | node14(s325, s326))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26051,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s325, s326)) | node14(s325, s326)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 9.34/7.03 tff(26052,plain,
% 9.34/7.03 (node14(s325, s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26051, 46, 26028])).
% 9.34/7.03 tff(26053,plain,
% 9.34/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26054,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26055,plain,
% 9.34/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | (~node14(s325, s326)) | m_main_v_state2(s326, c_t2)),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 9.34/7.03 tff(26056,plain,
% 9.34/7.03 ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_state2(s326, c_t2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26055, 922, 26052])).
% 9.34/7.03 tff(26057,plain,
% 9.34/7.03 (m_main_v_state2(s326, c_t2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26056, 26013, 25945])).
% 9.34/7.03 tff(26058,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26059,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26060,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s326, c_n2)) | (~m_main_v_state2(s326, c_t2))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 9.34/7.03 tff(26061,plain,
% 9.34/7.03 (~m_main_v_state2(s326, c_n2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26060, 77, 26057])).
% 9.34/7.03 tff(26062,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s326, c_n2) | (~node4(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s326, c_n2) | (~node4(s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26063,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s326, c_n2) | (~node4(s326)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26064,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s326, c_n2) | (~node4(s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26063, 26062])).
% 9.34/7.03 tff(26065,plain,
% 9.34/7.03 (~node4(s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26064, 388, 26061])).
% 9.34/7.03 tff(26066,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26067,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26068,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s326, c_t2)) | (~m_main_v_state2(s326, c_c2))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26067, 26066])).
% 9.34/7.03 tff(26069,plain,
% 9.34/7.03 (~m_main_v_state2(s326, c_c2)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26068, 260, 26057])).
% 9.34/7.03 tff(26070,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s326, c_c2) | (~node3(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s326, c_c2) | (~node3(s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26071,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s326, c_c2) | (~node3(s326)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26072,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s326, c_c2) | (~node3(s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 9.34/7.03 tff(26073,plain,
% 9.34/7.03 (~node3(s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26072, 399, 26069])).
% 9.34/7.03 tff(26074,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s326, c_n2) | (~node2(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s326, c_n2) | (~node2(s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26075,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s326, c_n2) | (~node2(s326)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26076,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s326, c_n2) | (~node2(s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 9.34/7.03 tff(26077,plain,
% 9.34/7.03 (~node2(s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26076, 410, 26061])).
% 9.34/7.03 tff(26078,plain,
% 9.34/7.03 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26079,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26080,plain,
% 9.34/7.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s326, c_n1)) | (~m_main_v_state1(s326, c_c1))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 9.34/7.03 tff(26081,plain,
% 9.34/7.03 (~m_main_v_state1(s326, c_n1)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26080, 454, 26040])).
% 9.34/7.03 tff(26082,plain,
% 9.34/7.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s326, c_n1) | (~node1(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s326, c_n1) | (~node1(s326)))),
% 9.34/7.03 inference(rewrite,[status(thm)],[])).
% 9.34/7.03 tff(26083,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s326, c_n1) | (~node1(s326)))),
% 9.34/7.03 inference(quant_inst,[status(thm)],[])).
% 9.34/7.03 tff(26084,plain,
% 9.34/7.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s326, c_n1) | (~node1(s326))),
% 9.34/7.03 inference(modus_ponens,[status(thm)],[26083, 26082])).
% 9.34/7.03 tff(26085,plain,
% 9.34/7.03 (~node1(s326)),
% 9.34/7.03 inference(unit_resolution,[status(thm)],[26084, 421, 26081])).
% 9.34/7.04 tff(26086,plain,
% 9.34/7.04 (succ(s326, s327) <=> succ(s326, s327)),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26087,axiom,(succ(s326, s327)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound327')).
% 9.34/7.04 tff(26088,plain,
% 9.34/7.04 (succ(s326, s327)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26087, 26086])).
% 9.34/7.04 tff(26089,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26090,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26091,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 9.34/7.04 tff(26092,plain,
% 9.34/7.04 (trans(s326, s327)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26091, 26088, 32])).
% 9.34/7.04 tff(26093,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s326, s327)) | node7(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s326, s327)) | node7(s326, s327))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26094,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s326, s327)) | node7(s326, s327))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26095,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s326, s327)) | node7(s326, s327)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 9.34/7.04 tff(26096,plain,
% 9.34/7.04 (node7(s326, s327)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26095, 206, 26092])).
% 9.34/7.04 tff(26097,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26098,plain,
% 9.34/7.04 (((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1)) <=> (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26099,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327))))),
% 9.34/7.04 inference(monotonicity,[status(thm)],[26098])).
% 9.34/7.04 tff(26100,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)))),
% 9.34/7.04 inference(transitivity,[status(thm)],[26099, 26097])).
% 9.34/7.04 tff(26101,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327)) | m_main_v_state1(s327, c_n1))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26102,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326) | (~node7(s326, s327))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26101, 26100])).
% 9.34/7.04 tff(26103,plain,
% 9.34/7.04 (m_main_v_state1(s327, c_n1) | (~m_main_v_state1(s326, c_c1)) | node1(s326) | node2(s326) | node3(s326) | node4(s326) | node5(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26102, 584, 26096])).
% 9.34/7.04 tff(26104,plain,
% 9.34/7.04 (m_main_v_state1(s327, c_n1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26103, 26085, 26040, 26077, 26073, 26065, 26048])).
% 9.34/7.04 tff(26105,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s325, c_t2) | (~node15(s325)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s325, c_t2) | (~node15(s325)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26106,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s325, c_t2) | (~node15(s325)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26107,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s325, c_t2) | (~node15(s325))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 9.34/7.04 tff(26108,plain,
% 9.34/7.04 (~node15(s325)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26107, 103, 26017])).
% 9.34/7.04 tff(26109,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s325, s326)) | node18(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s325, s326)) | node18(s325, s326))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26110,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s325, s326)) | node18(s325, s326))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26111,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s325, s326)) | node18(s325, s326)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 9.34/7.04 tff(26112,plain,
% 9.34/7.04 (node18(s325, s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26111, 125, 26028])).
% 9.34/7.04 tff(26113,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26114,plain,
% 9.34/7.04 (((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1)) <=> (node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26115,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)))),
% 9.34/7.04 inference(monotonicity,[status(thm)],[26114])).
% 9.34/7.04 tff(26116,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1))),
% 9.34/7.04 inference(transitivity,[status(thm)],[26115, 26113])).
% 9.34/7.04 tff(26117,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | node15(s325) | (~node18(s325, s326)) | m_main_v_turn(s326, c_1))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26118,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s325) | (~node18(s325, s326)) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26117, 26116])).
% 9.34/7.04 tff(26119,plain,
% 9.34/7.04 (node15(s325) | (~m_main_v_state1(s325, c_t1)) | (~m_main_v_state2(s325, c_n2)) | m_main_v_turn(s326, c_1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26118, 992, 26112])).
% 9.34/7.04 tff(26120,plain,
% 9.34/7.04 (m_main_v_turn(s326, c_1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26119, 26108, 25945, 26013])).
% 9.34/7.04 tff(26121,plain,
% 9.34/7.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26122,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26123,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s326, c_1)) | (~m_main_v_turn(s326, c_2))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26122, 26121])).
% 9.34/7.04 tff(26124,plain,
% 9.34/7.04 (~m_main_v_turn(s326, c_2)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26123, 156, 26120])).
% 9.34/7.04 tff(26125,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s326, c_2) | (~node12(s326)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s326, c_2) | (~node12(s326)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26126,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s326, c_2) | (~node12(s326)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26127,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s326, c_2) | (~node12(s326))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 9.34/7.04 tff(26128,plain,
% 9.34/7.04 (~node12(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26127, 184, 26124])).
% 9.34/7.04 tff(26129,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s326, c_n2) | (~node8(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s326, c_n2) | (~node8(s326)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26130,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s326, c_n2) | (~node8(s326)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26131,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s326, c_n2) | (~node8(s326))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 9.34/7.04 tff(26132,plain,
% 9.34/7.04 (~node8(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26131, 271, 26061])).
% 9.34/7.04 tff(26133,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s326, c_n2) | (~node9(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s326, c_n2) | (~node9(s326)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26134,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s326, c_n2) | (~node9(s326)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26135,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s326, c_n2) | (~node9(s326))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26134, 26133])).
% 9.34/7.04 tff(26136,plain,
% 9.34/7.04 (~node9(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26135, 88, 26061])).
% 9.34/7.04 tff(26137,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s326, c_n2) | (~node10(s326)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s326, c_n2) | (~node10(s326)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26138,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s326, c_n2) | (~node10(s326)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26139,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s326, c_n2) | (~node10(s326))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 9.34/7.04 tff(26140,plain,
% 9.34/7.04 (~node10(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26139, 249, 26061])).
% 9.34/7.04 tff(26141,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s326, c_n1) | (~node11(s326)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s326, c_n1) | (~node11(s326)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26142,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s326, c_n1) | (~node11(s326)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26143,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s326, c_n1) | (~node11(s326))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 9.34/7.04 tff(26144,plain,
% 9.34/7.04 (~node11(s326)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26143, 238, 26081])).
% 9.34/7.04 tff(26145,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s326, s327)) | node14(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s326, s327)) | node14(s326, s327))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26146,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s326, s327)) | node14(s326, s327))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26147,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s326, s327)) | node14(s326, s327)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 9.34/7.04 tff(26148,plain,
% 9.34/7.04 (node14(s326, s327)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26147, 46, 26092])).
% 9.34/7.04 tff(26149,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26150,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26151,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327) | (~node14(s326, s327))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26150, 26149])).
% 9.34/7.04 tff(26152,plain,
% 9.34/7.04 (m_main_v_state2(s326, c_c2) | node9(s326) | node8(s326) | node10(s326) | node11(s326) | node12(s326) | node13(s326, s327)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26151, 296, 26148])).
% 9.34/7.04 tff(26153,plain,
% 9.34/7.04 (node13(s326, s327)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26152, 26144, 26069, 26140, 26136, 26132, 26128])).
% 9.34/7.04 tff(26154,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26155,plain,
% 9.34/7.04 (((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2)) <=> ((~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26156,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327))))),
% 9.34/7.04 inference(monotonicity,[status(thm)],[26155])).
% 9.34/7.04 tff(26157,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327)))),
% 9.34/7.04 inference(transitivity,[status(thm)],[26156, 26154])).
% 9.34/7.04 tff(26158,plain,
% 9.34/7.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s326, s327)) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26159,plain,
% 9.34/7.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s326, c_t2)) | m_main_v_state2(s327, c_t2) | (~node13(s326, s327))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26158, 26157])).
% 9.34/7.04 tff(26160,plain,
% 9.34/7.04 (m_main_v_state2(s327, c_t2)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26159, 518, 26057, 26153])).
% 9.34/7.04 tff(26161,plain,
% 9.34/7.04 (succ(s327, s328) <=> succ(s327, s328)),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26162,axiom,(succ(s327, s328)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound328')).
% 9.34/7.04 tff(26163,plain,
% 9.34/7.04 (succ(s327, s328)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26162, 26161])).
% 9.34/7.04 tff(26164,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26165,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26166,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 9.34/7.04 tff(26167,plain,
% 9.34/7.04 (trans(s327, s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26166, 26163, 32])).
% 9.34/7.04 tff(26168,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s327, s328)) | node7(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s327, s328)) | node7(s327, s328))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26169,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s327, s328)) | node7(s327, s328))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26170,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s327, s328)) | node7(s327, s328)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 9.34/7.04 tff(26171,plain,
% 9.34/7.04 (node7(s327, s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26170, 206, 26167])).
% 9.34/7.04 tff(26172,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26173,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26174,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node7(s327, s328)) | m_main_v_state1(s328, c_t1)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26173, 26172])).
% 9.34/7.04 tff(26175,plain,
% 9.34/7.04 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | m_main_v_state1(s328, c_t1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26174, 651, 26171])).
% 9.34/7.04 tff(26176,plain,
% 9.34/7.04 (m_main_v_state1(s328, c_t1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26175, 26160, 26104])).
% 9.34/7.04 tff(26177,plain,
% 9.34/7.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26178,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26179,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s328, c_n1)) | (~m_main_v_state1(s328, c_t1))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26178, 26177])).
% 9.34/7.04 tff(26180,plain,
% 9.34/7.04 (~m_main_v_state1(s328, c_n1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26179, 10, 26176])).
% 9.34/7.04 tff(26181,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s328, c_n1) | (~node1(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s328, c_n1) | (~node1(s328)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26182,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s328, c_n1) | (~node1(s328)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26183,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s328, c_n1) | (~node1(s328))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 9.34/7.04 tff(26184,plain,
% 9.34/7.04 (~node1(s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26183, 421, 26180])).
% 9.34/7.04 tff(26185,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s327, s328)) | node18(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s327, s328)) | node18(s327, s328))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26186,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s327, s328)) | node18(s327, s328))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26187,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s327, s328)) | node18(s327, s328)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 9.34/7.04 tff(26188,plain,
% 9.34/7.04 (node18(s327, s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26187, 125, 26167])).
% 9.34/7.04 tff(26189,plain,
% 9.34/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26190,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26191,plain,
% 9.34/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | (~node18(s327, s328)) | m_main_v_turn(s328, c_2)),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 9.34/7.04 tff(26192,plain,
% 9.34/7.04 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | m_main_v_turn(s328, c_2)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26191, 760, 26188])).
% 9.34/7.04 tff(26193,plain,
% 9.34/7.04 (m_main_v_turn(s328, c_2)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26192, 26160, 26104])).
% 9.34/7.04 tff(26194,plain,
% 9.34/7.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26195,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26196,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s328, c_1)) | (~m_main_v_turn(s328, c_2))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26195, 26194])).
% 9.34/7.04 tff(26197,plain,
% 9.34/7.04 (~m_main_v_turn(s328, c_1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26196, 156, 26193])).
% 9.34/7.04 tff(26198,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s328, c_1) | (~node5(s328)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s328, c_1) | (~node5(s328)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26199,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s328, c_1) | (~node5(s328)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26200,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s328, c_1) | (~node5(s328))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 9.34/7.04 tff(26201,plain,
% 9.34/7.04 (~node5(s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26200, 776, 26197])).
% 9.34/7.04 tff(26202,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s328, c_n1) | (~node2(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s328, c_n1) | (~node2(s328)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26203,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s328, c_n1) | (~node2(s328)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26204,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s328, c_n1) | (~node2(s328))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26203, 26202])).
% 9.34/7.04 tff(26205,plain,
% 9.34/7.04 (~node2(s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26204, 787, 26180])).
% 9.34/7.04 tff(26206,plain,
% 9.34/7.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s328, c_n1) | (~node3(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s328, c_n1) | (~node3(s328)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26207,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s328, c_n1) | (~node3(s328)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26208,plain,
% 9.34/7.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s328, c_n1) | (~node3(s328))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 9.34/7.04 tff(26209,plain,
% 9.34/7.04 (~node3(s328)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26208, 798, 26180])).
% 9.34/7.04 tff(26210,plain,
% 9.34/7.04 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26211,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1)))),
% 9.34/7.04 inference(quant_inst,[status(thm)],[])).
% 9.34/7.04 tff(26212,plain,
% 9.34/7.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s328, c_t1)) | (~m_main_v_state1(s328, c_c1))),
% 9.34/7.04 inference(modus_ponens,[status(thm)],[26211, 26210])).
% 9.34/7.04 tff(26213,plain,
% 9.34/7.04 (~m_main_v_state1(s328, c_c1)),
% 9.34/7.04 inference(unit_resolution,[status(thm)],[26212, 539, 26176])).
% 9.34/7.04 tff(26214,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26215,plain,
% 9.34/7.04 (((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2))) <=> (m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 9.34/7.04 inference(rewrite,[status(thm)],[])).
% 9.34/7.04 tff(26216,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327))))),
% 9.34/7.04 inference(monotonicity,[status(thm)],[26215])).
% 9.34/7.04 tff(26217,plain,
% 9.34/7.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327)))),
% 9.34/7.05 inference(transitivity,[status(thm)],[26216, 26214])).
% 9.34/7.05 tff(26218,plain,
% 9.34/7.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s326, s327)) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26219,plain,
% 9.34/7.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s326, c_n2) | (~m_main_v_state2(s327, c_n2)) | (~node13(s326, s327))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 9.34/7.05 tff(26220,plain,
% 9.34/7.05 (~m_main_v_state2(s327, c_n2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26219, 311, 26061, 26153])).
% 9.34/7.05 tff(26221,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s327, c_n2) | (~node9(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s327, c_n2) | (~node9(s327)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26222,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s327, c_n2) | (~node9(s327)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26223,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s327, c_n2) | (~node9(s327))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26222, 26221])).
% 9.34/7.05 tff(26224,plain,
% 9.34/7.05 (~node9(s327)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26223, 88, 26220])).
% 9.34/7.05 tff(26225,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s327, c_n2) | (~node10(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s327, c_n2) | (~node10(s327)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26226,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s327, c_n2) | (~node10(s327)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26227,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s327, c_n2) | (~node10(s327))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26226, 26225])).
% 9.34/7.05 tff(26228,plain,
% 9.34/7.05 (~node10(s327)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26227, 249, 26220])).
% 9.34/7.05 tff(26229,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s327, c_n2) | (~node8(s327)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s327, c_n2) | (~node8(s327)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26230,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s327, c_n2) | (~node8(s327)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26231,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s327, c_n2) | (~node8(s327))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 9.34/7.05 tff(26232,plain,
% 9.34/7.05 (~node8(s327)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26231, 271, 26220])).
% 9.34/7.05 tff(26233,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s327, s328)) | node14(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s327, s328)) | node14(s327, s328))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26234,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s327, s328)) | node14(s327, s328))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26235,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s327, s328)) | node14(s327, s328)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 9.34/7.05 tff(26236,plain,
% 9.34/7.05 (node14(s327, s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26235, 46, 26167])).
% 9.34/7.05 tff(26237,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26238,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26239,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | (~node14(s327, s328)) | m_main_v_state2(s328, c_c2)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 9.34/7.05 tff(26240,plain,
% 9.34/7.05 ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state2(s327, c_t2)) | node9(s327) | node8(s327) | node10(s327) | m_main_v_state2(s328, c_c2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26239, 617, 26236])).
% 9.34/7.05 tff(26241,plain,
% 9.34/7.05 (m_main_v_state2(s328, c_c2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26240, 26232, 26104, 26160, 26228, 26224])).
% 9.34/7.05 tff(26242,plain,
% 9.34/7.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26243,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26244,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_n2)) | (~m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 9.34/7.05 tff(26245,plain,
% 9.34/7.05 (~m_main_v_state2(s328, c_n2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26244, 697, 26241])).
% 9.34/7.05 tff(26246,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s328, c_n2) | (~node4(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s328, c_n2) | (~node4(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26247,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s328, c_n2) | (~node4(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26248,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s328, c_n2) | (~node4(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26247, 26246])).
% 9.34/7.05 tff(26249,plain,
% 9.34/7.05 (~node4(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26248, 388, 26245])).
% 9.34/7.05 tff(26250,plain,
% 9.34/7.05 (succ(s328, s329) <=> succ(s328, s329)),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26251,axiom,(succ(s328, s329)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound329')).
% 9.34/7.05 tff(26252,plain,
% 9.34/7.05 (succ(s328, s329)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26251, 26250])).
% 9.34/7.05 tff(26253,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26254,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26255,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26254, 26253])).
% 9.34/7.05 tff(26256,plain,
% 9.34/7.05 (trans(s328, s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26255, 26252, 32])).
% 9.34/7.05 tff(26257,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s328, s329)) | node7(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s328, s329)) | node7(s328, s329))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26258,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s328, s329)) | node7(s328, s329))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26259,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s328, s329)) | node7(s328, s329)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26258, 26257])).
% 9.34/7.05 tff(26260,plain,
% 9.34/7.05 (node7(s328, s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26259, 206, 26256])).
% 9.34/7.05 tff(26261,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26262,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26263,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329) | (~node7(s328, s329))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26262, 26261])).
% 9.34/7.05 tff(26264,plain,
% 9.34/7.05 (m_main_v_state1(s328, c_c1) | node1(s328) | node2(s328) | node3(s328) | node4(s328) | node5(s328) | node6(s328, s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26263, 820, 26260])).
% 9.34/7.05 tff(26265,plain,
% 9.34/7.05 (node6(s328, s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26264, 26249, 26213, 26209, 26205, 26201, 26184])).
% 9.34/7.05 tff(26266,plain,
% 9.34/7.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26267,plain,
% 9.34/7.05 (((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1)) <=> ((~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26268,plain,
% 9.34/7.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329))))),
% 9.34/7.05 inference(monotonicity,[status(thm)],[26267])).
% 9.34/7.05 tff(26269,plain,
% 9.34/7.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329)))),
% 9.34/7.05 inference(transitivity,[status(thm)],[26268, 26266])).
% 9.34/7.05 tff(26270,plain,
% 9.34/7.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s328, s329)) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26271,plain,
% 9.34/7.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s328, c_t1)) | m_main_v_state1(s329, c_t1) | (~node6(s328, s329))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26270, 26269])).
% 9.34/7.05 tff(26272,plain,
% 9.34/7.05 (m_main_v_state1(s329, c_t1)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26271, 856, 26176, 26265])).
% 9.34/7.05 tff(26273,plain,
% 9.34/7.05 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26274,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26275,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s328, c_t2)) | (~m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 9.34/7.05 tff(26276,plain,
% 9.34/7.05 (~m_main_v_state2(s328, c_t2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26275, 260, 26241])).
% 9.34/7.05 tff(26277,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s328, c_t2) | (~node12(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s328, c_t2) | (~node12(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26278,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s328, c_t2) | (~node12(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26279,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s328, c_t2) | (~node12(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26278, 26277])).
% 9.34/7.05 tff(26280,plain,
% 9.34/7.05 (~node12(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26279, 633, 26276])).
% 9.34/7.05 tff(26281,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s328, c_n1) | (~node11(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s328, c_n1) | (~node11(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26282,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s328, c_n1) | (~node11(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26283,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s328, c_n1) | (~node11(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26282, 26281])).
% 9.34/7.05 tff(26284,plain,
% 9.34/7.05 (~node11(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26283, 238, 26180])).
% 9.34/7.05 tff(26285,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s328, c_c1) | (~node10(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s328, c_c1) | (~node10(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26286,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s328, c_c1) | (~node10(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26287,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s328, c_c1) | (~node10(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26286, 26285])).
% 9.34/7.05 tff(26288,plain,
% 9.34/7.05 (~node10(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26287, 675, 26213])).
% 9.34/7.05 tff(26289,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s328, c_n1) | (~node9(s328)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s328, c_n1) | (~node9(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26290,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s328, c_n1) | (~node9(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26291,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s328, c_n1) | (~node9(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 9.34/7.05 tff(26292,plain,
% 9.34/7.05 (~node9(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26291, 686, 26180])).
% 9.34/7.05 tff(26293,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s328, c_n2) | (~node8(s328)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s328, c_n2) | (~node8(s328)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26294,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s328, c_n2) | (~node8(s328)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26295,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s328, c_n2) | (~node8(s328))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26294, 26293])).
% 9.34/7.05 tff(26296,plain,
% 9.34/7.05 (~node8(s328)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26295, 271, 26245])).
% 9.34/7.05 tff(26297,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s328, s329)) | node14(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s328, s329)) | node14(s328, s329))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26298,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s328, s329)) | node14(s328, s329))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26299,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s328, s329)) | node14(s328, s329)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 9.34/7.05 tff(26300,plain,
% 9.34/7.05 (node14(s328, s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26299, 46, 26256])).
% 9.34/7.05 tff(26301,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26302,plain,
% 9.34/7.05 (((~m_main_v_state2(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2)) <=> (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26303,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2))))),
% 9.34/7.05 inference(monotonicity,[status(thm)],[26302])).
% 9.34/7.05 tff(26304,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2)))),
% 9.34/7.05 inference(transitivity,[status(thm)],[26303, 26301])).
% 9.34/7.05 tff(26305,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s328, c_c2)) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | m_main_v_state2(s329, c_n2))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26306,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~node14(s328, s329)) | (~m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26305, 26304])).
% 9.34/7.05 tff(26307,plain,
% 9.34/7.05 (m_main_v_state2(s329, c_n2) | node9(s328) | node8(s328) | node10(s328) | node11(s328) | node12(s328) | (~m_main_v_state2(s328, c_c2))),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26306, 726, 26300])).
% 9.34/7.05 tff(26308,plain,
% 9.34/7.05 (m_main_v_state2(s329, c_n2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26307, 26296, 26241, 26292, 26288, 26284, 26280])).
% 9.34/7.05 tff(26309,plain,
% 9.34/7.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26310,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26311,plain,
% 9.34/7.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_t2))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 9.34/7.05 tff(26312,plain,
% 9.34/7.05 (~m_main_v_state2(s329, c_t2)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26311, 77, 26308])).
% 9.34/7.05 tff(26313,plain,
% 9.34/7.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s329, c_t2) | (~node15(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s329, c_t2) | (~node15(s329)))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26314,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s329, c_t2) | (~node15(s329)))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26315,plain,
% 9.34/7.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s329, c_t2) | (~node15(s329))),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 9.34/7.05 tff(26316,plain,
% 9.34/7.05 (~node15(s329)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26315, 103, 26312])).
% 9.34/7.05 tff(26317,plain,
% 9.34/7.05 (succ(s329, s330) <=> succ(s329, s330)),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26318,axiom,(succ(s329, s330)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound330')).
% 9.34/7.05 tff(26319,plain,
% 9.34/7.05 (succ(s329, s330)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 9.34/7.05 tff(26320,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26321,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26322,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26321, 26320])).
% 9.34/7.05 tff(26323,plain,
% 9.34/7.05 (trans(s329, s330)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26322, 26319, 32])).
% 9.34/7.05 tff(26324,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s329, s330)) | node18(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s329, s330)) | node18(s329, s330))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26325,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s329, s330)) | node18(s329, s330))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26326,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s329, s330)) | node18(s329, s330)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26325, 26324])).
% 9.34/7.05 tff(26327,plain,
% 9.34/7.05 (node18(s329, s330)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26326, 125, 26323])).
% 9.34/7.05 tff(26328,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26329,plain,
% 9.34/7.05 (((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1)) <=> (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 9.34/7.05 inference(rewrite,[status(thm)],[])).
% 9.34/7.05 tff(26330,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)))),
% 9.34/7.05 inference(monotonicity,[status(thm)],[26329])).
% 9.34/7.05 tff(26331,plain,
% 9.34/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1))),
% 9.34/7.05 inference(transitivity,[status(thm)],[26330, 26328])).
% 9.34/7.05 tff(26332,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node15(s329) | (~node18(s329, s330)) | m_main_v_turn(s330, c_1))),
% 9.34/7.05 inference(quant_inst,[status(thm)],[])).
% 9.34/7.05 tff(26333,plain,
% 9.34/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s329) | (~node18(s329, s330)) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)),
% 9.34/7.05 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 9.34/7.05 tff(26334,plain,
% 9.34/7.05 (node15(s329) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_turn(s330, c_1)),
% 9.34/7.05 inference(unit_resolution,[status(thm)],[26333, 992, 26327])).
% 9.42/7.05 tff(26335,plain,
% 9.42/7.05 (m_main_v_turn(s330, c_1)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26334, 26316, 26308, 26272])).
% 9.42/7.05 tff(26336,plain,
% 9.42/7.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))),
% 9.42/7.05 inference(rewrite,[status(thm)],[])).
% 9.42/7.05 tff(26337,plain,
% 9.42/7.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2)))),
% 9.42/7.05 inference(quant_inst,[status(thm)],[])).
% 9.42/7.05 tff(26338,plain,
% 9.42/7.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s330, c_1)) | (~m_main_v_turn(s330, c_2))),
% 9.42/7.05 inference(modus_ponens,[status(thm)],[26337, 26336])).
% 9.42/7.05 tff(26339,plain,
% 9.42/7.05 (~m_main_v_turn(s330, c_2)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26338, 156, 26335])).
% 9.42/7.05 tff(26340,plain,
% 9.42/7.05 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s330, c_2) | (~node12(s330)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s330, c_2) | (~node12(s330)))),
% 9.42/7.05 inference(rewrite,[status(thm)],[])).
% 9.42/7.05 tff(26341,plain,
% 9.42/7.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s330, c_2) | (~node12(s330)))),
% 9.42/7.05 inference(quant_inst,[status(thm)],[])).
% 9.42/7.05 tff(26342,plain,
% 9.42/7.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s330, c_2) | (~node12(s330))),
% 9.42/7.05 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 9.42/7.05 tff(26343,plain,
% 9.42/7.05 (~node12(s330)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26342, 184, 26339])).
% 9.42/7.05 tff(26344,plain,
% 9.42/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s329, s330)) | node14(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s329, s330)) | node14(s329, s330))),
% 9.42/7.05 inference(rewrite,[status(thm)],[])).
% 9.42/7.05 tff(26345,plain,
% 9.42/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s329, s330)) | node14(s329, s330))),
% 9.42/7.05 inference(quant_inst,[status(thm)],[])).
% 9.42/7.05 tff(26346,plain,
% 9.42/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s329, s330)) | node14(s329, s330)),
% 9.42/7.05 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 9.42/7.05 tff(26347,plain,
% 9.42/7.05 (node14(s329, s330)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26346, 46, 26323])).
% 9.42/7.05 tff(26348,plain,
% 9.42/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2))),
% 9.42/7.05 inference(rewrite,[status(thm)],[])).
% 9.42/7.05 tff(26349,plain,
% 9.42/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2))),
% 9.42/7.05 inference(quant_inst,[status(thm)],[])).
% 9.42/7.05 tff(26350,plain,
% 9.42/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | (~node14(s329, s330)) | m_main_v_state2(s330, c_t2)),
% 9.42/7.05 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 9.42/7.05 tff(26351,plain,
% 9.42/7.05 ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state2(s330, c_t2)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26350, 922, 26347])).
% 9.42/7.05 tff(26352,plain,
% 9.42/7.05 (m_main_v_state2(s330, c_t2)),
% 9.42/7.05 inference(unit_resolution,[status(thm)],[26351, 26272, 26308])).
% 9.42/7.05 tff(26353,plain,
% 9.42/7.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26354,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26355,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s330, c_n2)) | (~m_main_v_state2(s330, c_t2))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26354, 26353])).
% 9.42/7.06 tff(26356,plain,
% 9.42/7.06 (~m_main_v_state2(s330, c_n2)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26355, 77, 26352])).
% 9.42/7.06 tff(26357,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s330, c_n2) | (~node8(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s330, c_n2) | (~node8(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26358,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s330, c_n2) | (~node8(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26359,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s330, c_n2) | (~node8(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 9.42/7.06 tff(26360,plain,
% 9.42/7.06 (~node8(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26359, 271, 26356])).
% 9.42/7.06 tff(26361,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s330, c_n2) | (~node9(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s330, c_n2) | (~node9(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26362,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s330, c_n2) | (~node9(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26363,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s330, c_n2) | (~node9(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26362, 26361])).
% 9.42/7.06 tff(26364,plain,
% 9.42/7.06 (~node9(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26363, 88, 26356])).
% 9.42/7.06 tff(26365,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s330, c_n2) | (~node10(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s330, c_n2) | (~node10(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26366,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s330, c_n2) | (~node10(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26367,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s330, c_n2) | (~node10(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26366, 26365])).
% 9.42/7.06 tff(26368,plain,
% 9.42/7.06 (~node10(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26367, 249, 26356])).
% 9.42/7.06 tff(26369,plain,
% 9.42/7.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26370,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26371,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s330, c_t2)) | (~m_main_v_state2(s330, c_c2))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 9.42/7.06 tff(26372,plain,
% 9.42/7.06 (~m_main_v_state2(s330, c_c2)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26371, 260, 26352])).
% 9.42/7.06 tff(26373,plain,
% 9.42/7.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26374,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26375,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s329, c_n2)) | (~m_main_v_state2(s329, c_c2))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 9.42/7.06 tff(26376,plain,
% 9.42/7.06 (~m_main_v_state2(s329, c_c2)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26375, 697, 26308])).
% 9.42/7.06 tff(26377,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s329, c_c2) | (~node3(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s329, c_c2) | (~node3(s329)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26378,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s329, c_c2) | (~node3(s329)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26379,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s329, c_c2) | (~node3(s329))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26378, 26377])).
% 9.42/7.06 tff(26380,plain,
% 9.42/7.06 (~node3(s329)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26379, 399, 26376])).
% 9.42/7.06 tff(26381,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26382,plain,
% 9.42/7.06 (((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1))) <=> (m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26383,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329))))),
% 9.42/7.06 inference(monotonicity,[status(thm)],[26382])).
% 9.42/7.06 tff(26384,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329)))),
% 9.42/7.06 inference(transitivity,[status(thm)],[26383, 26381])).
% 9.42/7.06 tff(26385,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s328, s329)) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26386,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s328, c_n1) | (~m_main_v_state1(s329, c_n1)) | (~node6(s328, s329))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 9.42/7.06 tff(26387,plain,
% 9.42/7.06 (~m_main_v_state1(s329, c_n1)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26386, 835, 26180, 26265])).
% 9.42/7.06 tff(26388,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s329, c_n1) | (~node2(s329)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s329, c_n1) | (~node2(s329)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26389,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s329, c_n1) | (~node2(s329)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26390,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s329, c_n1) | (~node2(s329))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 9.42/7.06 tff(26391,plain,
% 9.42/7.06 (~node2(s329)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26390, 787, 26387])).
% 9.42/7.06 tff(26392,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s329, c_t2) | (~node1(s329)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s329, c_t2) | (~node1(s329)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26393,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s329, c_t2) | (~node1(s329)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26394,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s329, c_t2) | (~node1(s329))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26393, 26392])).
% 9.42/7.06 tff(26395,plain,
% 9.42/7.06 (~node1(s329)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26394, 195, 26312])).
% 9.42/7.06 tff(26396,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s329, s330)) | node7(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s329, s330)) | node7(s329, s330))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26397,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s329, s330)) | node7(s329, s330))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26398,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s329, s330)) | node7(s329, s330)),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 9.42/7.06 tff(26399,plain,
% 9.42/7.06 (node7(s329, s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26398, 206, 26323])).
% 9.42/7.06 tff(26400,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26401,plain,
% 9.42/7.06 (((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1)) <=> ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26402,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330))))),
% 9.42/7.06 inference(monotonicity,[status(thm)],[26401])).
% 9.42/7.06 tff(26403,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)))),
% 9.42/7.06 inference(transitivity,[status(thm)],[26402, 26400])).
% 9.42/7.06 tff(26404,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330)) | m_main_v_state1(s330, c_c1))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26405,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329) | (~node7(s329, s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26404, 26403])).
% 9.42/7.06 tff(26406,plain,
% 9.42/7.06 ((~m_main_v_state1(s329, c_t1)) | (~m_main_v_state2(s329, c_n2)) | m_main_v_state1(s330, c_c1) | node1(s329) | node2(s329) | node3(s329)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26405, 892, 26399])).
% 9.42/7.06 tff(26407,plain,
% 9.42/7.06 (m_main_v_state1(s330, c_c1)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26406, 26395, 26308, 26272, 26391, 26380])).
% 9.42/7.06 tff(26408,plain,
% 9.42/7.06 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26409,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26410,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_n1)) | (~m_main_v_state1(s330, c_c1))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26409, 26408])).
% 9.42/7.06 tff(26411,plain,
% 9.42/7.06 (~m_main_v_state1(s330, c_n1)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26410, 454, 26407])).
% 9.42/7.06 tff(26412,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s330, c_n1) | (~node11(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s330, c_n1) | (~node11(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26413,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s330, c_n1) | (~node11(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26414,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s330, c_n1) | (~node11(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26413, 26412])).
% 9.42/7.06 tff(26415,plain,
% 9.42/7.06 (~node11(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26414, 238, 26411])).
% 9.42/7.06 tff(26416,plain,
% 9.42/7.06 (succ(s330, s331) <=> succ(s330, s331)),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26417,axiom,(succ(s330, s331)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound331')).
% 9.42/7.06 tff(26418,plain,
% 9.42/7.06 (succ(s330, s331)),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26417, 26416])).
% 9.42/7.06 tff(26419,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26420,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26421,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331)),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 9.42/7.06 tff(26422,plain,
% 9.42/7.06 (trans(s330, s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26421, 26418, 32])).
% 9.42/7.06 tff(26423,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s330, s331)) | node14(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s330, s331)) | node14(s330, s331))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26424,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s330, s331)) | node14(s330, s331))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26425,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s330, s331)) | node14(s330, s331)),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 9.42/7.06 tff(26426,plain,
% 9.42/7.06 (node14(s330, s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26425, 46, 26422])).
% 9.42/7.06 tff(26427,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26428,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26429,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331) | (~node14(s330, s331))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 9.42/7.06 tff(26430,plain,
% 9.42/7.06 (m_main_v_state2(s330, c_c2) | node9(s330) | node8(s330) | node10(s330) | node11(s330) | node12(s330) | node13(s330, s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26429, 296, 26426])).
% 9.42/7.06 tff(26431,plain,
% 9.42/7.06 (node13(s330, s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26430, 26415, 26372, 26368, 26364, 26360, 26343])).
% 9.42/7.06 tff(26432,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26433,plain,
% 9.42/7.06 (((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2))) <=> (m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26434,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331))))),
% 9.42/7.06 inference(monotonicity,[status(thm)],[26433])).
% 9.42/7.06 tff(26435,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331)))),
% 9.42/7.06 inference(transitivity,[status(thm)],[26434, 26432])).
% 9.42/7.06 tff(26436,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s330, s331)) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26437,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s330, c_n2) | (~m_main_v_state2(s331, c_n2)) | (~node13(s330, s331))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26436, 26435])).
% 9.42/7.06 tff(26438,plain,
% 9.42/7.06 (~m_main_v_state2(s331, c_n2)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26437, 311, 26356, 26431])).
% 9.42/7.06 tff(26439,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s331, c_n2) | (~node9(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s331, c_n2) | (~node9(s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26440,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s331, c_n2) | (~node9(s331)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26441,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s331, c_n2) | (~node9(s331))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26440, 26439])).
% 9.42/7.06 tff(26442,plain,
% 9.42/7.06 (~node9(s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26441, 88, 26438])).
% 9.42/7.06 tff(26443,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s331, c_n2) | (~node10(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s331, c_n2) | (~node10(s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26444,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s331, c_n2) | (~node10(s331)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26445,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s331, c_n2) | (~node10(s331))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26444, 26443])).
% 9.42/7.06 tff(26446,plain,
% 9.42/7.06 (~node10(s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26445, 249, 26438])).
% 9.42/7.06 tff(26447,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26448,plain,
% 9.42/7.06 (((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2)) <=> ((~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26449,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331))))),
% 9.42/7.06 inference(monotonicity,[status(thm)],[26448])).
% 9.42/7.06 tff(26450,plain,
% 9.42/7.06 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331)))),
% 9.42/7.06 inference(transitivity,[status(thm)],[26449, 26447])).
% 9.42/7.06 tff(26451,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s330, s331)) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26452,plain,
% 9.42/7.06 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s330, c_t2)) | m_main_v_state2(s331, c_t2) | (~node13(s330, s331))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 9.42/7.06 tff(26453,plain,
% 9.42/7.06 (m_main_v_state2(s331, c_t2)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26452, 518, 26352, 26431])).
% 9.42/7.06 tff(26454,plain,
% 9.42/7.06 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26455,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26456,plain,
% 9.42/7.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s330, c_t1)) | (~m_main_v_state1(s330, c_c1))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 9.42/7.06 tff(26457,plain,
% 9.42/7.06 (~m_main_v_state1(s330, c_t1)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26456, 539, 26407])).
% 9.42/7.06 tff(26458,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s330, c_t1) | (~node5(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s330, c_t1) | (~node5(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26459,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s330, c_t1) | (~node5(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26460,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s330, c_t1) | (~node5(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26459, 26458])).
% 9.42/7.06 tff(26461,plain,
% 9.42/7.06 (~node5(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26460, 550, 26457])).
% 9.42/7.06 tff(26462,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s330, c_n2) | (~node4(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s330, c_n2) | (~node4(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26463,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s330, c_n2) | (~node4(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26464,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s330, c_n2) | (~node4(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 9.42/7.06 tff(26465,plain,
% 9.42/7.06 (~node4(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26464, 388, 26356])).
% 9.42/7.06 tff(26466,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s330, c_c2) | (~node3(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s330, c_c2) | (~node3(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26467,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s330, c_c2) | (~node3(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26468,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s330, c_c2) | (~node3(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 9.42/7.06 tff(26469,plain,
% 9.42/7.06 (~node3(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26468, 399, 26372])).
% 9.42/7.06 tff(26470,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s330, c_n2) | (~node2(s330)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s330, c_n2) | (~node2(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26471,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s330, c_n2) | (~node2(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26472,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s330, c_n2) | (~node2(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26471, 26470])).
% 9.42/7.06 tff(26473,plain,
% 9.42/7.06 (~node2(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26472, 410, 26356])).
% 9.42/7.06 tff(26474,plain,
% 9.42/7.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s330, c_n1) | (~node1(s330)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s330, c_n1) | (~node1(s330)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26475,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s330, c_n1) | (~node1(s330)))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26476,plain,
% 9.42/7.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s330, c_n1) | (~node1(s330))),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26475, 26474])).
% 9.42/7.06 tff(26477,plain,
% 9.42/7.06 (~node1(s330)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26476, 421, 26411])).
% 9.42/7.06 tff(26478,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s330, s331)) | node7(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s330, s331)) | node7(s330, s331))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26479,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s330, s331)) | node7(s330, s331))),
% 9.42/7.06 inference(quant_inst,[status(thm)],[])).
% 9.42/7.06 tff(26480,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s330, s331)) | node7(s330, s331)),
% 9.42/7.06 inference(modus_ponens,[status(thm)],[26479, 26478])).
% 9.42/7.06 tff(26481,plain,
% 9.42/7.06 (node7(s330, s331)),
% 9.42/7.06 inference(unit_resolution,[status(thm)],[26480, 206, 26422])).
% 9.42/7.06 tff(26482,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26483,plain,
% 9.42/7.06 (((~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1)) <=> (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 9.42/7.06 inference(rewrite,[status(thm)],[])).
% 9.42/7.06 tff(26484,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331))))),
% 9.42/7.06 inference(monotonicity,[status(thm)],[26483])).
% 9.42/7.06 tff(26485,plain,
% 9.42/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)))),
% 9.42/7.06 inference(transitivity,[status(thm)],[26484, 26482])).
% 9.42/7.06 tff(26486,plain,
% 9.42/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331)) | m_main_v_state1(s331, c_n1))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26487,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330) | (~node7(s330, s331))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 9.42/7.07 tff(26488,plain,
% 9.42/7.07 (m_main_v_state1(s331, c_n1) | (~m_main_v_state1(s330, c_c1)) | node1(s330) | node2(s330) | node3(s330) | node4(s330) | node5(s330)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26487, 584, 26481])).
% 9.42/7.07 tff(26489,plain,
% 9.42/7.07 (m_main_v_state1(s331, c_n1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26488, 26477, 26407, 26473, 26469, 26465, 26461])).
% 9.42/7.07 tff(26490,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s331, c_n2) | (~node8(s331)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s331, c_n2) | (~node8(s331)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26491,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s331, c_n2) | (~node8(s331)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26492,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s331, c_n2) | (~node8(s331))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 9.42/7.07 tff(26493,plain,
% 9.42/7.07 (~node8(s331)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26492, 271, 26438])).
% 9.42/7.07 tff(26494,plain,
% 9.42/7.07 (succ(s331, s332) <=> succ(s331, s332)),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26495,axiom,(succ(s331, s332)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound332')).
% 9.42/7.07 tff(26496,plain,
% 9.42/7.07 (succ(s331, s332)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26495, 26494])).
% 9.42/7.07 tff(26497,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26498,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26499,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 9.42/7.07 tff(26500,plain,
% 9.42/7.07 (trans(s331, s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26499, 26496, 32])).
% 9.42/7.07 tff(26501,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s331, s332)) | node14(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s331, s332)) | node14(s331, s332))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26502,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s331, s332)) | node14(s331, s332))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26503,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s331, s332)) | node14(s331, s332)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 9.42/7.07 tff(26504,plain,
% 9.42/7.07 (node14(s331, s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26503, 46, 26500])).
% 9.42/7.07 tff(26505,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26506,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26507,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | (~node14(s331, s332)) | m_main_v_state2(s332, c_c2)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 9.42/7.07 tff(26508,plain,
% 9.42/7.07 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | node9(s331) | node8(s331) | node10(s331) | m_main_v_state2(s332, c_c2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26507, 617, 26504])).
% 9.42/7.07 tff(26509,plain,
% 9.42/7.07 (m_main_v_state2(s332, c_c2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26508, 26493, 26489, 26453, 26446, 26442])).
% 9.42/7.07 tff(26510,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26511,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26512,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_t2)) | (~m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26511, 26510])).
% 9.42/7.07 tff(26513,plain,
% 9.42/7.07 (~m_main_v_state2(s332, c_t2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26512, 260, 26509])).
% 9.42/7.07 tff(26514,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s332, c_t2) | (~node12(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s332, c_t2) | (~node12(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26515,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s332, c_t2) | (~node12(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26516,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s332, c_t2) | (~node12(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 9.42/7.07 tff(26517,plain,
% 9.42/7.07 (~node12(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26516, 633, 26513])).
% 9.42/7.07 tff(26518,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s331, s332)) | node7(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s331, s332)) | node7(s331, s332))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26519,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s331, s332)) | node7(s331, s332))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26520,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s331, s332)) | node7(s331, s332)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26519, 26518])).
% 9.42/7.07 tff(26521,plain,
% 9.42/7.07 (node7(s331, s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26520, 206, 26500])).
% 9.42/7.07 tff(26522,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26523,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26524,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node7(s331, s332)) | m_main_v_state1(s332, c_t1)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 9.42/7.07 tff(26525,plain,
% 9.42/7.07 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | m_main_v_state1(s332, c_t1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26524, 651, 26521])).
% 9.42/7.07 tff(26526,plain,
% 9.42/7.07 (m_main_v_state1(s332, c_t1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26525, 26453, 26489])).
% 9.42/7.07 tff(26527,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26528,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26529,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s332, c_n1)) | (~m_main_v_state1(s332, c_t1))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 9.42/7.07 tff(26530,plain,
% 9.42/7.07 (~m_main_v_state1(s332, c_n1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26529, 10, 26526])).
% 9.42/7.07 tff(26531,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s332, c_n1) | (~node11(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s332, c_n1) | (~node11(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26532,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s332, c_n1) | (~node11(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26533,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s332, c_n1) | (~node11(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 9.42/7.07 tff(26534,plain,
% 9.42/7.07 (~node11(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26533, 238, 26530])).
% 9.42/7.07 tff(26535,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26536,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26537,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s332, c_t1)) | (~m_main_v_state1(s332, c_c1))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 9.42/7.07 tff(26538,plain,
% 9.42/7.07 (~m_main_v_state1(s332, c_c1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26537, 539, 26526])).
% 9.42/7.07 tff(26539,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s332, c_c1) | (~node10(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s332, c_c1) | (~node10(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26540,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s332, c_c1) | (~node10(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26541,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s332, c_c1) | (~node10(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 9.42/7.07 tff(26542,plain,
% 9.42/7.07 (~node10(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26541, 675, 26538])).
% 9.42/7.07 tff(26543,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s332, c_n1) | (~node9(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s332, c_n1) | (~node9(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26544,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s332, c_n1) | (~node9(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26545,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s332, c_n1) | (~node9(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 9.42/7.07 tff(26546,plain,
% 9.42/7.07 (~node9(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26545, 686, 26530])).
% 9.42/7.07 tff(26547,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26548,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26549,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s332, c_n2)) | (~m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 9.42/7.07 tff(26550,plain,
% 9.42/7.07 (~m_main_v_state2(s332, c_n2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26549, 697, 26509])).
% 9.42/7.07 tff(26551,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s332, c_n2) | (~node8(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s332, c_n2) | (~node8(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26552,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s332, c_n2) | (~node8(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26553,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s332, c_n2) | (~node8(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26552, 26551])).
% 9.42/7.07 tff(26554,plain,
% 9.42/7.07 (~node8(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26553, 271, 26550])).
% 9.42/7.07 tff(26555,plain,
% 9.42/7.07 (succ(s332, s333) <=> succ(s332, s333)),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26556,axiom,(succ(s332, s333)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound333')).
% 9.42/7.07 tff(26557,plain,
% 9.42/7.07 (succ(s332, s333)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 9.42/7.07 tff(26558,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26559,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26560,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 9.42/7.07 tff(26561,plain,
% 9.42/7.07 (trans(s332, s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26560, 26557, 32])).
% 9.42/7.07 tff(26562,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s332, s333)) | node14(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s332, s333)) | node14(s332, s333))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26563,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s332, s333)) | node14(s332, s333))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26564,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s332, s333)) | node14(s332, s333)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26563, 26562])).
% 9.42/7.07 tff(26565,plain,
% 9.42/7.07 (node14(s332, s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26564, 46, 26561])).
% 9.42/7.07 tff(26566,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26567,plain,
% 9.42/7.07 (((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2)) <=> (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26568,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2))))),
% 9.42/7.07 inference(monotonicity,[status(thm)],[26567])).
% 9.42/7.07 tff(26569,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2)))),
% 9.42/7.07 inference(transitivity,[status(thm)],[26568, 26566])).
% 9.42/7.07 tff(26570,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s332, c_c2)) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | m_main_v_state2(s333, c_n2))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26571,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~node14(s332, s333)) | (~m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 9.42/7.07 tff(26572,plain,
% 9.42/7.07 (m_main_v_state2(s333, c_n2) | node9(s332) | node8(s332) | node10(s332) | node11(s332) | node12(s332) | (~m_main_v_state2(s332, c_c2))),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26571, 726, 26565])).
% 9.42/7.07 tff(26573,plain,
% 9.42/7.07 (m_main_v_state2(s333, c_n2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26572, 26554, 26509, 26546, 26542, 26534, 26517])).
% 9.42/7.07 tff(26574,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26575,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26576,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_c2))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26575, 26574])).
% 9.42/7.07 tff(26577,plain,
% 9.42/7.07 (~m_main_v_state2(s333, c_c2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26576, 697, 26573])).
% 9.42/7.07 tff(26578,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s333, c_c2) | (~node3(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s333, c_c2) | (~node3(s333)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26579,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s333, c_c2) | (~node3(s333)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26580,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s333, c_c2) | (~node3(s333))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26579, 26578])).
% 9.42/7.07 tff(26581,plain,
% 9.42/7.07 (~node3(s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26580, 399, 26577])).
% 9.42/7.07 tff(26582,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s332, c_n1) | (~node1(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s332, c_n1) | (~node1(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26583,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s332, c_n1) | (~node1(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26584,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s332, c_n1) | (~node1(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 9.42/7.07 tff(26585,plain,
% 9.42/7.07 (~node1(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26584, 421, 26530])).
% 9.42/7.07 tff(26586,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s331, s332)) | node18(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s331, s332)) | node18(s331, s332))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26587,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s331, s332)) | node18(s331, s332))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26588,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s331, s332)) | node18(s331, s332)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 9.42/7.07 tff(26589,plain,
% 9.42/7.07 (node18(s331, s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26588, 125, 26500])).
% 9.42/7.07 tff(26590,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26591,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26592,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | (~node18(s331, s332)) | m_main_v_turn(s332, c_2)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26591, 26590])).
% 9.42/7.07 tff(26593,plain,
% 9.42/7.07 ((~m_main_v_state1(s331, c_n1)) | (~m_main_v_state2(s331, c_t2)) | m_main_v_turn(s332, c_2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26592, 760, 26589])).
% 9.42/7.07 tff(26594,plain,
% 9.42/7.07 (m_main_v_turn(s332, c_2)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26593, 26453, 26489])).
% 9.42/7.07 tff(26595,plain,
% 9.42/7.07 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26596,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26597,plain,
% 9.42/7.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s332, c_1)) | (~m_main_v_turn(s332, c_2))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 9.42/7.07 tff(26598,plain,
% 9.42/7.07 (~m_main_v_turn(s332, c_1)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26597, 156, 26594])).
% 9.42/7.07 tff(26599,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s332, c_1) | (~node5(s332)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s332, c_1) | (~node5(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26600,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s332, c_1) | (~node5(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26601,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s332, c_1) | (~node5(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26600, 26599])).
% 9.42/7.07 tff(26602,plain,
% 9.42/7.07 (~node5(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26601, 776, 26598])).
% 9.42/7.07 tff(26603,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s332, c_n1) | (~node2(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s332, c_n1) | (~node2(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26604,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s332, c_n1) | (~node2(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26605,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s332, c_n1) | (~node2(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 9.42/7.07 tff(26606,plain,
% 9.42/7.07 (~node2(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26605, 787, 26530])).
% 9.42/7.07 tff(26607,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s332, c_n1) | (~node3(s332)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s332, c_n1) | (~node3(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26608,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s332, c_n1) | (~node3(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26609,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s332, c_n1) | (~node3(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 9.42/7.07 tff(26610,plain,
% 9.42/7.07 (~node3(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26609, 798, 26530])).
% 9.42/7.07 tff(26611,plain,
% 9.42/7.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s332, c_n2) | (~node4(s332)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s332, c_n2) | (~node4(s332)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26612,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s332, c_n2) | (~node4(s332)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26613,plain,
% 9.42/7.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s332, c_n2) | (~node4(s332))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26612, 26611])).
% 9.42/7.07 tff(26614,plain,
% 9.42/7.07 (~node4(s332)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26613, 388, 26550])).
% 9.42/7.07 tff(26615,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s332, s333)) | node7(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s332, s333)) | node7(s332, s333))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26616,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s332, s333)) | node7(s332, s333))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26617,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s332, s333)) | node7(s332, s333)),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 9.42/7.07 tff(26618,plain,
% 9.42/7.07 (node7(s332, s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26617, 206, 26561])).
% 9.42/7.07 tff(26619,plain,
% 9.42/7.07 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26620,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333)))),
% 9.42/7.07 inference(quant_inst,[status(thm)],[])).
% 9.42/7.07 tff(26621,plain,
% 9.42/7.07 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333) | (~node7(s332, s333))),
% 9.42/7.07 inference(modus_ponens,[status(thm)],[26620, 26619])).
% 9.42/7.07 tff(26622,plain,
% 9.42/7.07 (m_main_v_state1(s332, c_c1) | node1(s332) | node2(s332) | node3(s332) | node4(s332) | node5(s332) | node6(s332, s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26621, 820, 26618])).
% 9.42/7.07 tff(26623,plain,
% 9.42/7.07 (node6(s332, s333)),
% 9.42/7.07 inference(unit_resolution,[status(thm)],[26622, 26614, 26538, 26610, 26606, 26602, 26585])).
% 9.42/7.07 tff(26624,plain,
% 9.42/7.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26625,plain,
% 9.42/7.07 (((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1))) <=> (m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 9.42/7.07 inference(rewrite,[status(thm)],[])).
% 9.42/7.07 tff(26626,plain,
% 9.42/7.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333))))),
% 9.42/7.07 inference(monotonicity,[status(thm)],[26625])).
% 9.42/7.07 tff(26627,plain,
% 9.42/7.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333)))),
% 9.42/7.08 inference(transitivity,[status(thm)],[26626, 26624])).
% 9.42/7.08 tff(26628,plain,
% 9.42/7.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s332, s333)) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26629,plain,
% 9.42/7.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s332, c_n1) | (~m_main_v_state1(s333, c_n1)) | (~node6(s332, s333))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 9.42/7.08 tff(26630,plain,
% 9.42/7.08 (~m_main_v_state1(s333, c_n1)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26629, 835, 26530, 26623])).
% 9.42/7.08 tff(26631,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s333, c_n1) | (~node2(s333)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s333, c_n1) | (~node2(s333)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26632,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s333, c_n1) | (~node2(s333)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26633,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s333, c_n1) | (~node2(s333))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26632, 26631])).
% 9.42/7.08 tff(26634,plain,
% 9.42/7.08 (~node2(s333)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26633, 787, 26630])).
% 9.42/7.08 tff(26635,plain,
% 9.42/7.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26636,plain,
% 9.42/7.08 (((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1)) <=> ((~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26637,plain,
% 9.42/7.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333))))),
% 9.42/7.08 inference(monotonicity,[status(thm)],[26636])).
% 9.42/7.08 tff(26638,plain,
% 9.42/7.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333)))),
% 9.42/7.08 inference(transitivity,[status(thm)],[26637, 26635])).
% 9.42/7.08 tff(26639,plain,
% 9.42/7.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s332, s333)) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26640,plain,
% 9.42/7.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s332, c_t1)) | m_main_v_state1(s333, c_t1) | (~node6(s332, s333))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 9.42/7.08 tff(26641,plain,
% 9.42/7.08 (m_main_v_state1(s333, c_t1)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26640, 856, 26526, 26623])).
% 9.42/7.08 tff(26642,plain,
% 9.42/7.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26643,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26644,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s333, c_n2)) | (~m_main_v_state2(s333, c_t2))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 9.42/7.08 tff(26645,plain,
% 9.42/7.08 (~m_main_v_state2(s333, c_t2)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26644, 77, 26573])).
% 9.42/7.08 tff(26646,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s333, c_t2) | (~node1(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s333, c_t2) | (~node1(s333)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26647,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s333, c_t2) | (~node1(s333)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26648,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s333, c_t2) | (~node1(s333))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 9.42/7.08 tff(26649,plain,
% 9.42/7.08 (~node1(s333)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26648, 195, 26645])).
% 9.42/7.08 tff(26650,plain,
% 9.42/7.08 (succ(s333, s334) <=> succ(s333, s334)),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26651,axiom,(succ(s333, s334)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound334')).
% 9.42/7.08 tff(26652,plain,
% 9.42/7.08 (succ(s333, s334)),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 9.42/7.08 tff(26653,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26654,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26655,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334)),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 9.42/7.08 tff(26656,plain,
% 9.42/7.08 (trans(s333, s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26655, 26652, 32])).
% 9.42/7.08 tff(26657,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s333, s334)) | node7(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s333, s334)) | node7(s333, s334))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26658,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s333, s334)) | node7(s333, s334))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26659,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s333, s334)) | node7(s333, s334)),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 9.42/7.08 tff(26660,plain,
% 9.42/7.08 (node7(s333, s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26659, 206, 26656])).
% 9.42/7.08 tff(26661,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26662,plain,
% 9.42/7.08 (((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1)) <=> ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26663,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334))))),
% 9.42/7.08 inference(monotonicity,[status(thm)],[26662])).
% 9.42/7.08 tff(26664,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)))),
% 9.42/7.08 inference(transitivity,[status(thm)],[26663, 26661])).
% 9.42/7.08 tff(26665,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334)) | m_main_v_state1(s334, c_c1))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26666,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333) | (~node7(s333, s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26665, 26664])).
% 9.42/7.08 tff(26667,plain,
% 9.42/7.08 ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state1(s334, c_c1) | node1(s333) | node2(s333) | node3(s333)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26666, 892, 26660])).
% 9.42/7.08 tff(26668,plain,
% 9.42/7.08 (m_main_v_state1(s334, c_c1)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26667, 26649, 26573, 26641, 26634, 26581])).
% 9.42/7.08 tff(26669,plain,
% 9.42/7.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26670,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26671,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_t1)) | (~m_main_v_state1(s334, c_c1))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 9.42/7.08 tff(26672,plain,
% 9.42/7.08 (~m_main_v_state1(s334, c_t1)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26671, 539, 26668])).
% 9.42/7.08 tff(26673,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s334, c_t1) | (~node5(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s334, c_t1) | (~node5(s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26674,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s334, c_t1) | (~node5(s334)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26675,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s334, c_t1) | (~node5(s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 9.42/7.08 tff(26676,plain,
% 9.42/7.08 (~node5(s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26675, 550, 26672])).
% 9.42/7.08 tff(26677,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s333, s334)) | node14(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s333, s334)) | node14(s333, s334))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26678,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s333, s334)) | node14(s333, s334))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26679,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s333, s334)) | node14(s333, s334)),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26678, 26677])).
% 9.42/7.08 tff(26680,plain,
% 9.42/7.08 (node14(s333, s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26679, 46, 26656])).
% 9.42/7.08 tff(26681,plain,
% 9.42/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26682,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26683,plain,
% 9.42/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | (~node14(s333, s334)) | m_main_v_state2(s334, c_t2)),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26682, 26681])).
% 9.42/7.08 tff(26684,plain,
% 9.42/7.08 ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_state2(s334, c_t2)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26683, 922, 26680])).
% 9.42/7.08 tff(26685,plain,
% 9.42/7.08 (m_main_v_state2(s334, c_t2)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26684, 26641, 26573])).
% 9.42/7.08 tff(26686,plain,
% 9.42/7.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26687,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26688,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s334, c_n2)) | (~m_main_v_state2(s334, c_t2))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26687, 26686])).
% 9.42/7.08 tff(26689,plain,
% 9.42/7.08 (~m_main_v_state2(s334, c_n2)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26688, 77, 26685])).
% 9.42/7.08 tff(26690,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s334, c_n2) | (~node4(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s334, c_n2) | (~node4(s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26691,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s334, c_n2) | (~node4(s334)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26692,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s334, c_n2) | (~node4(s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 9.42/7.08 tff(26693,plain,
% 9.42/7.08 (~node4(s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26692, 388, 26689])).
% 9.42/7.08 tff(26694,plain,
% 9.42/7.08 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26695,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26696,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s334, c_t2)) | (~m_main_v_state2(s334, c_c2))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26695, 26694])).
% 9.42/7.08 tff(26697,plain,
% 9.42/7.08 (~m_main_v_state2(s334, c_c2)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26696, 260, 26685])).
% 9.42/7.08 tff(26698,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s334, c_c2) | (~node3(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s334, c_c2) | (~node3(s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26699,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s334, c_c2) | (~node3(s334)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26700,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s334, c_c2) | (~node3(s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 9.42/7.08 tff(26701,plain,
% 9.42/7.08 (~node3(s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26700, 399, 26697])).
% 9.42/7.08 tff(26702,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s334, c_n2) | (~node2(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s334, c_n2) | (~node2(s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26703,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s334, c_n2) | (~node2(s334)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26704,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s334, c_n2) | (~node2(s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 9.42/7.08 tff(26705,plain,
% 9.42/7.08 (~node2(s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26704, 410, 26689])).
% 9.42/7.08 tff(26706,plain,
% 9.42/7.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26707,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26708,plain,
% 9.42/7.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s334, c_n1)) | (~m_main_v_state1(s334, c_c1))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 9.42/7.08 tff(26709,plain,
% 9.42/7.08 (~m_main_v_state1(s334, c_n1)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26708, 454, 26668])).
% 9.42/7.08 tff(26710,plain,
% 9.42/7.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s334, c_n1) | (~node1(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s334, c_n1) | (~node1(s334)))),
% 9.42/7.08 inference(rewrite,[status(thm)],[])).
% 9.42/7.08 tff(26711,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s334, c_n1) | (~node1(s334)))),
% 9.42/7.08 inference(quant_inst,[status(thm)],[])).
% 9.42/7.08 tff(26712,plain,
% 9.42/7.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s334, c_n1) | (~node1(s334))),
% 9.42/7.08 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 9.42/7.08 tff(26713,plain,
% 9.42/7.08 (~node1(s334)),
% 9.42/7.08 inference(unit_resolution,[status(thm)],[26712, 421, 26709])).
% 9.42/7.08 tff(26714,plain,
% 9.45/7.08 (succ(s334, s335) <=> succ(s334, s335)),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26715,axiom,(succ(s334, s335)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound335')).
% 9.45/7.08 tff(26716,plain,
% 9.45/7.08 (succ(s334, s335)),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26715, 26714])).
% 9.45/7.08 tff(26717,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26718,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))),
% 9.45/7.08 inference(quant_inst,[status(thm)],[])).
% 9.45/7.08 tff(26719,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335)),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 9.45/7.08 tff(26720,plain,
% 9.45/7.08 (trans(s334, s335)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26719, 26716, 32])).
% 9.45/7.08 tff(26721,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s334, s335)) | node7(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s334, s335)) | node7(s334, s335))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26722,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s334, s335)) | node7(s334, s335))),
% 9.45/7.08 inference(quant_inst,[status(thm)],[])).
% 9.45/7.08 tff(26723,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s334, s335)) | node7(s334, s335)),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26722, 26721])).
% 9.45/7.08 tff(26724,plain,
% 9.45/7.08 (node7(s334, s335)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26723, 206, 26720])).
% 9.45/7.08 tff(26725,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26726,plain,
% 9.45/7.08 (((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1)) <=> (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26727,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335))))),
% 9.45/7.08 inference(monotonicity,[status(thm)],[26726])).
% 9.45/7.08 tff(26728,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)))),
% 9.45/7.08 inference(transitivity,[status(thm)],[26727, 26725])).
% 9.45/7.08 tff(26729,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335)) | m_main_v_state1(s335, c_n1))),
% 9.45/7.08 inference(quant_inst,[status(thm)],[])).
% 9.45/7.08 tff(26730,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334) | (~node7(s334, s335))),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26729, 26728])).
% 9.45/7.08 tff(26731,plain,
% 9.45/7.08 (m_main_v_state1(s335, c_n1) | (~m_main_v_state1(s334, c_c1)) | node1(s334) | node2(s334) | node3(s334) | node4(s334) | node5(s334)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26730, 584, 26724])).
% 9.45/7.08 tff(26732,plain,
% 9.45/7.08 (m_main_v_state1(s335, c_n1)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26731, 26713, 26668, 26705, 26701, 26693, 26676])).
% 9.45/7.08 tff(26733,plain,
% 9.45/7.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s333, c_t2) | (~node15(s333)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s333, c_t2) | (~node15(s333)))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26734,plain,
% 9.45/7.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s333, c_t2) | (~node15(s333)))),
% 9.45/7.08 inference(quant_inst,[status(thm)],[])).
% 9.45/7.08 tff(26735,plain,
% 9.45/7.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s333, c_t2) | (~node15(s333))),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 9.45/7.08 tff(26736,plain,
% 9.45/7.08 (~node15(s333)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26735, 103, 26645])).
% 9.45/7.08 tff(26737,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s333, s334)) | node18(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s333, s334)) | node18(s333, s334))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26738,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s333, s334)) | node18(s333, s334))),
% 9.45/7.08 inference(quant_inst,[status(thm)],[])).
% 9.45/7.08 tff(26739,plain,
% 9.45/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s333, s334)) | node18(s333, s334)),
% 9.45/7.08 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 9.45/7.08 tff(26740,plain,
% 9.45/7.08 (node18(s333, s334)),
% 9.45/7.08 inference(unit_resolution,[status(thm)],[26739, 125, 26656])).
% 9.45/7.08 tff(26741,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26742,plain,
% 9.45/7.08 (((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1)) <=> (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 9.45/7.08 inference(rewrite,[status(thm)],[])).
% 9.45/7.08 tff(26743,plain,
% 9.45/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)))),
% 9.45/7.09 inference(monotonicity,[status(thm)],[26742])).
% 9.45/7.09 tff(26744,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1))),
% 9.45/7.09 inference(transitivity,[status(thm)],[26743, 26741])).
% 9.45/7.09 tff(26745,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | node15(s333) | (~node18(s333, s334)) | m_main_v_turn(s334, c_1))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26746,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s333) | (~node18(s333, s334)) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26745, 26744])).
% 9.45/7.09 tff(26747,plain,
% 9.45/7.09 (node15(s333) | (~m_main_v_state1(s333, c_t1)) | (~m_main_v_state2(s333, c_n2)) | m_main_v_turn(s334, c_1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26746, 992, 26740])).
% 9.45/7.09 tff(26748,plain,
% 9.45/7.09 (m_main_v_turn(s334, c_1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26747, 26736, 26573, 26641])).
% 9.45/7.09 tff(26749,plain,
% 9.45/7.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26750,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26751,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s334, c_1)) | (~m_main_v_turn(s334, c_2))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26750, 26749])).
% 9.45/7.09 tff(26752,plain,
% 9.45/7.09 (~m_main_v_turn(s334, c_2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26751, 156, 26748])).
% 9.45/7.09 tff(26753,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s334, c_2) | (~node12(s334)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s334, c_2) | (~node12(s334)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26754,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s334, c_2) | (~node12(s334)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26755,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s334, c_2) | (~node12(s334))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 9.45/7.09 tff(26756,plain,
% 9.45/7.09 (~node12(s334)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26755, 184, 26752])).
% 9.45/7.09 tff(26757,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s334, c_n2) | (~node8(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s334, c_n2) | (~node8(s334)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26758,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s334, c_n2) | (~node8(s334)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26759,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s334, c_n2) | (~node8(s334))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26758, 26757])).
% 9.45/7.09 tff(26760,plain,
% 9.45/7.09 (~node8(s334)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26759, 271, 26689])).
% 9.45/7.09 tff(26761,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s334, c_n2) | (~node9(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s334, c_n2) | (~node9(s334)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26762,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s334, c_n2) | (~node9(s334)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26763,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s334, c_n2) | (~node9(s334))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 9.45/7.09 tff(26764,plain,
% 9.45/7.09 (~node9(s334)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26763, 88, 26689])).
% 9.45/7.09 tff(26765,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s334, c_n2) | (~node10(s334)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s334, c_n2) | (~node10(s334)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26766,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s334, c_n2) | (~node10(s334)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26767,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s334, c_n2) | (~node10(s334))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26766, 26765])).
% 9.45/7.09 tff(26768,plain,
% 9.45/7.09 (~node10(s334)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26767, 249, 26689])).
% 9.45/7.09 tff(26769,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s334, c_n1) | (~node11(s334)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s334, c_n1) | (~node11(s334)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26770,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s334, c_n1) | (~node11(s334)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26771,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s334, c_n1) | (~node11(s334))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 9.45/7.09 tff(26772,plain,
% 9.45/7.09 (~node11(s334)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26771, 238, 26709])).
% 9.45/7.09 tff(26773,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s334, s335)) | node14(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s334, s335)) | node14(s334, s335))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26774,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s334, s335)) | node14(s334, s335))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26775,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s334, s335)) | node14(s334, s335)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26774, 26773])).
% 9.45/7.09 tff(26776,plain,
% 9.45/7.09 (node14(s334, s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26775, 46, 26720])).
% 9.45/7.09 tff(26777,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26778,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26779,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335) | (~node14(s334, s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 9.45/7.09 tff(26780,plain,
% 9.45/7.09 (m_main_v_state2(s334, c_c2) | node9(s334) | node8(s334) | node10(s334) | node11(s334) | node12(s334) | node13(s334, s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26779, 296, 26776])).
% 9.45/7.09 tff(26781,plain,
% 9.45/7.09 (node13(s334, s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26780, 26772, 26697, 26768, 26764, 26760, 26756])).
% 9.45/7.09 tff(26782,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26783,plain,
% 9.45/7.09 (((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2)) <=> ((~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26784,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335))))),
% 9.45/7.09 inference(monotonicity,[status(thm)],[26783])).
% 9.45/7.09 tff(26785,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335)))),
% 9.45/7.09 inference(transitivity,[status(thm)],[26784, 26782])).
% 9.45/7.09 tff(26786,plain,
% 9.45/7.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s334, s335)) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26787,plain,
% 9.45/7.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s334, c_t2)) | m_main_v_state2(s335, c_t2) | (~node13(s334, s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26786, 26785])).
% 9.45/7.09 tff(26788,plain,
% 9.45/7.09 (m_main_v_state2(s335, c_t2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26787, 518, 26685, 26781])).
% 9.45/7.09 tff(26789,plain,
% 9.45/7.09 (succ(s335, s336) <=> succ(s335, s336)),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26790,axiom,(succ(s335, s336)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound336')).
% 9.45/7.09 tff(26791,plain,
% 9.45/7.09 (succ(s335, s336)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 9.45/7.09 tff(26792,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26793,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26794,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26793, 26792])).
% 9.45/7.09 tff(26795,plain,
% 9.45/7.09 (trans(s335, s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26794, 26791, 32])).
% 9.45/7.09 tff(26796,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s335, s336)) | node7(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s335, s336)) | node7(s335, s336))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26797,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s335, s336)) | node7(s335, s336))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26798,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s335, s336)) | node7(s335, s336)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 9.45/7.09 tff(26799,plain,
% 9.45/7.09 (node7(s335, s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26798, 206, 26795])).
% 9.45/7.09 tff(26800,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26801,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26802,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node7(s335, s336)) | m_main_v_state1(s336, c_t1)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 9.45/7.09 tff(26803,plain,
% 9.45/7.09 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | m_main_v_state1(s336, c_t1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26802, 651, 26799])).
% 9.45/7.09 tff(26804,plain,
% 9.45/7.09 (m_main_v_state1(s336, c_t1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26803, 26788, 26732])).
% 9.45/7.09 tff(26805,plain,
% 9.45/7.09 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26806,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26807,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s336, c_n1)) | (~m_main_v_state1(s336, c_t1))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 9.45/7.09 tff(26808,plain,
% 9.45/7.09 (~m_main_v_state1(s336, c_n1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26807, 10, 26804])).
% 9.45/7.09 tff(26809,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s336, c_n1) | (~node1(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s336, c_n1) | (~node1(s336)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26810,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s336, c_n1) | (~node1(s336)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26811,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s336, c_n1) | (~node1(s336))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26810, 26809])).
% 9.45/7.09 tff(26812,plain,
% 9.45/7.09 (~node1(s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26811, 421, 26808])).
% 9.45/7.09 tff(26813,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s335, s336)) | node18(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s335, s336)) | node18(s335, s336))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26814,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s335, s336)) | node18(s335, s336))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26815,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s335, s336)) | node18(s335, s336)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26814, 26813])).
% 9.45/7.09 tff(26816,plain,
% 9.45/7.09 (node18(s335, s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26815, 125, 26795])).
% 9.45/7.09 tff(26817,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26818,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26819,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | (~node18(s335, s336)) | m_main_v_turn(s336, c_2)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 9.45/7.09 tff(26820,plain,
% 9.45/7.09 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | m_main_v_turn(s336, c_2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26819, 760, 26816])).
% 9.45/7.09 tff(26821,plain,
% 9.45/7.09 (m_main_v_turn(s336, c_2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26820, 26788, 26732])).
% 9.45/7.09 tff(26822,plain,
% 9.45/7.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26823,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26824,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s336, c_1)) | (~m_main_v_turn(s336, c_2))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26823, 26822])).
% 9.45/7.09 tff(26825,plain,
% 9.45/7.09 (~m_main_v_turn(s336, c_1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26824, 156, 26821])).
% 9.45/7.09 tff(26826,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s336, c_1) | (~node5(s336)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s336, c_1) | (~node5(s336)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26827,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s336, c_1) | (~node5(s336)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26828,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s336, c_1) | (~node5(s336))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 9.45/7.09 tff(26829,plain,
% 9.45/7.09 (~node5(s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26828, 776, 26825])).
% 9.45/7.09 tff(26830,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s336, c_n1) | (~node2(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s336, c_n1) | (~node2(s336)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26831,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s336, c_n1) | (~node2(s336)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26832,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s336, c_n1) | (~node2(s336))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 9.45/7.09 tff(26833,plain,
% 9.45/7.09 (~node2(s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26832, 787, 26808])).
% 9.45/7.09 tff(26834,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s336, c_n1) | (~node3(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s336, c_n1) | (~node3(s336)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26835,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s336, c_n1) | (~node3(s336)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26836,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s336, c_n1) | (~node3(s336))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26835, 26834])).
% 9.45/7.09 tff(26837,plain,
% 9.45/7.09 (~node3(s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26836, 798, 26808])).
% 9.45/7.09 tff(26838,plain,
% 9.45/7.09 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26839,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26840,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s336, c_t1)) | (~m_main_v_state1(s336, c_c1))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 9.45/7.09 tff(26841,plain,
% 9.45/7.09 (~m_main_v_state1(s336, c_c1)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26840, 539, 26804])).
% 9.45/7.09 tff(26842,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26843,plain,
% 9.45/7.09 (((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2))) <=> (m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26844,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335))))),
% 9.45/7.09 inference(monotonicity,[status(thm)],[26843])).
% 9.45/7.09 tff(26845,plain,
% 9.45/7.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335)))),
% 9.45/7.09 inference(transitivity,[status(thm)],[26844, 26842])).
% 9.45/7.09 tff(26846,plain,
% 9.45/7.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s334, s335)) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26847,plain,
% 9.45/7.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s334, c_n2) | (~m_main_v_state2(s335, c_n2)) | (~node13(s334, s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 9.45/7.09 tff(26848,plain,
% 9.45/7.09 (~m_main_v_state2(s335, c_n2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26847, 311, 26689, 26781])).
% 9.45/7.09 tff(26849,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s335, c_n2) | (~node9(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s335, c_n2) | (~node9(s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26850,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s335, c_n2) | (~node9(s335)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26851,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s335, c_n2) | (~node9(s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 9.45/7.09 tff(26852,plain,
% 9.45/7.09 (~node9(s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26851, 88, 26848])).
% 9.45/7.09 tff(26853,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s335, c_n2) | (~node10(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s335, c_n2) | (~node10(s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26854,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s335, c_n2) | (~node10(s335)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26855,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s335, c_n2) | (~node10(s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26854, 26853])).
% 9.45/7.09 tff(26856,plain,
% 9.45/7.09 (~node10(s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26855, 249, 26848])).
% 9.45/7.09 tff(26857,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s335, c_n2) | (~node8(s335)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s335, c_n2) | (~node8(s335)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26858,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s335, c_n2) | (~node8(s335)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26859,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s335, c_n2) | (~node8(s335))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 9.45/7.09 tff(26860,plain,
% 9.45/7.09 (~node8(s335)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26859, 271, 26848])).
% 9.45/7.09 tff(26861,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s335, s336)) | node14(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s335, s336)) | node14(s335, s336))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26862,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s335, s336)) | node14(s335, s336))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26863,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s335, s336)) | node14(s335, s336)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 9.45/7.09 tff(26864,plain,
% 9.45/7.09 (node14(s335, s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26863, 46, 26795])).
% 9.45/7.09 tff(26865,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26866,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26867,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | (~node14(s335, s336)) | m_main_v_state2(s336, c_c2)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 9.45/7.09 tff(26868,plain,
% 9.45/7.09 ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state2(s335, c_t2)) | node9(s335) | node8(s335) | node10(s335) | m_main_v_state2(s336, c_c2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26867, 617, 26864])).
% 9.45/7.09 tff(26869,plain,
% 9.45/7.09 (m_main_v_state2(s336, c_c2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26868, 26860, 26732, 26788, 26856, 26852])).
% 9.45/7.09 tff(26870,plain,
% 9.45/7.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26871,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26872,plain,
% 9.45/7.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_n2)) | (~m_main_v_state2(s336, c_c2))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 9.45/7.09 tff(26873,plain,
% 9.45/7.09 (~m_main_v_state2(s336, c_n2)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26872, 697, 26869])).
% 9.45/7.09 tff(26874,plain,
% 9.45/7.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s336, c_n2) | (~node4(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s336, c_n2) | (~node4(s336)))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26875,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s336, c_n2) | (~node4(s336)))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26876,plain,
% 9.45/7.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s336, c_n2) | (~node4(s336))),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26875, 26874])).
% 9.45/7.09 tff(26877,plain,
% 9.45/7.09 (~node4(s336)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26876, 388, 26873])).
% 9.45/7.09 tff(26878,plain,
% 9.45/7.09 (succ(s336, s337) <=> succ(s336, s337)),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26879,axiom,(succ(s336, s337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound337')).
% 9.45/7.09 tff(26880,plain,
% 9.45/7.09 (succ(s336, s337)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 9.45/7.09 tff(26881,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26882,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26883,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26882, 26881])).
% 9.45/7.09 tff(26884,plain,
% 9.45/7.09 (trans(s336, s337)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26883, 26880, 32])).
% 9.45/7.09 tff(26885,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s336, s337)) | node7(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s336, s337)) | node7(s336, s337))),
% 9.45/7.09 inference(rewrite,[status(thm)],[])).
% 9.45/7.09 tff(26886,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s336, s337)) | node7(s336, s337))),
% 9.45/7.09 inference(quant_inst,[status(thm)],[])).
% 9.45/7.09 tff(26887,plain,
% 9.45/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s336, s337)) | node7(s336, s337)),
% 9.45/7.09 inference(modus_ponens,[status(thm)],[26886, 26885])).
% 9.45/7.09 tff(26888,plain,
% 9.45/7.09 (node7(s336, s337)),
% 9.45/7.09 inference(unit_resolution,[status(thm)],[26887, 206, 26884])).
% 9.45/7.09 tff(26889,plain,
% 9.45/7.09 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26890,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26891,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337) | (~node7(s336, s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26890, 26889])).
% 9.45/7.10 tff(26892,plain,
% 9.45/7.10 (m_main_v_state1(s336, c_c1) | node1(s336) | node2(s336) | node3(s336) | node4(s336) | node5(s336) | node6(s336, s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26891, 820, 26888])).
% 9.45/7.10 tff(26893,plain,
% 9.45/7.10 (node6(s336, s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26892, 26877, 26841, 26837, 26833, 26829, 26812])).
% 9.45/7.10 tff(26894,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26895,plain,
% 9.45/7.10 (((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1)) <=> ((~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26896,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337))))),
% 9.45/7.10 inference(monotonicity,[status(thm)],[26895])).
% 9.45/7.10 tff(26897,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337)))),
% 9.45/7.10 inference(transitivity,[status(thm)],[26896, 26894])).
% 9.45/7.10 tff(26898,plain,
% 9.45/7.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s336, s337)) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26899,plain,
% 9.45/7.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s336, c_t1)) | m_main_v_state1(s337, c_t1) | (~node6(s336, s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26898, 26897])).
% 9.45/7.10 tff(26900,plain,
% 9.45/7.10 (m_main_v_state1(s337, c_t1)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26899, 856, 26804, 26893])).
% 9.45/7.10 tff(26901,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26902,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26903,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s336, c_t2)) | (~m_main_v_state2(s336, c_c2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 9.45/7.10 tff(26904,plain,
% 9.45/7.10 (~m_main_v_state2(s336, c_t2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26903, 260, 26869])).
% 9.45/7.10 tff(26905,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s336, c_t2) | (~node12(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s336, c_t2) | (~node12(s336)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26906,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s336, c_t2) | (~node12(s336)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26907,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s336, c_t2) | (~node12(s336))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26906, 26905])).
% 9.45/7.10 tff(26908,plain,
% 9.45/7.10 (~node12(s336)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26907, 633, 26904])).
% 9.45/7.10 tff(26909,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s336, c_n1) | (~node11(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s336, c_n1) | (~node11(s336)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26910,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s336, c_n1) | (~node11(s336)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26911,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s336, c_n1) | (~node11(s336))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26910, 26909])).
% 9.45/7.10 tff(26912,plain,
% 9.45/7.10 (~node11(s336)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26911, 238, 26808])).
% 9.45/7.10 tff(26913,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s336, c_c1) | (~node10(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s336, c_c1) | (~node10(s336)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26914,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s336, c_c1) | (~node10(s336)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26915,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s336, c_c1) | (~node10(s336))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 9.45/7.10 tff(26916,plain,
% 9.45/7.10 (~node10(s336)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26915, 675, 26841])).
% 9.45/7.10 tff(26917,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s336, c_n1) | (~node9(s336)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s336, c_n1) | (~node9(s336)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26918,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s336, c_n1) | (~node9(s336)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26919,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s336, c_n1) | (~node9(s336))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26918, 26917])).
% 9.45/7.10 tff(26920,plain,
% 9.45/7.10 (~node9(s336)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26919, 686, 26808])).
% 9.45/7.10 tff(26921,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s336, c_n2) | (~node8(s336)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s336, c_n2) | (~node8(s336)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26922,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s336, c_n2) | (~node8(s336)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26923,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s336, c_n2) | (~node8(s336))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 9.45/7.10 tff(26924,plain,
% 9.45/7.10 (~node8(s336)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26923, 271, 26873])).
% 9.45/7.10 tff(26925,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s336, s337)) | node14(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s336, s337)) | node14(s336, s337))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26926,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s336, s337)) | node14(s336, s337))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26927,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s336, s337)) | node14(s336, s337)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 9.45/7.10 tff(26928,plain,
% 9.45/7.10 (node14(s336, s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26927, 46, 26884])).
% 9.45/7.10 tff(26929,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26930,plain,
% 9.45/7.10 (((~m_main_v_state2(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2)) <=> (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26931,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2))))),
% 9.45/7.10 inference(monotonicity,[status(thm)],[26930])).
% 9.45/7.10 tff(26932,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2)))),
% 9.45/7.10 inference(transitivity,[status(thm)],[26931, 26929])).
% 9.45/7.10 tff(26933,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s336, c_c2)) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | m_main_v_state2(s337, c_n2))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26934,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~node14(s336, s337)) | (~m_main_v_state2(s336, c_c2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 9.45/7.10 tff(26935,plain,
% 9.45/7.10 (m_main_v_state2(s337, c_n2) | node9(s336) | node8(s336) | node10(s336) | node11(s336) | node12(s336) | (~m_main_v_state2(s336, c_c2))),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26934, 726, 26928])).
% 9.45/7.10 tff(26936,plain,
% 9.45/7.10 (m_main_v_state2(s337, c_n2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26935, 26924, 26869, 26920, 26916, 26912, 26908])).
% 9.45/7.10 tff(26937,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26938,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26939,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_t2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 9.45/7.10 tff(26940,plain,
% 9.45/7.10 (~m_main_v_state2(s337, c_t2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26939, 77, 26936])).
% 9.45/7.10 tff(26941,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s337, c_t2) | (~node15(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s337, c_t2) | (~node15(s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26942,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s337, c_t2) | (~node15(s337)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26943,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s337, c_t2) | (~node15(s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 9.45/7.10 tff(26944,plain,
% 9.45/7.10 (~node15(s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26943, 103, 26940])).
% 9.45/7.10 tff(26945,plain,
% 9.45/7.10 (succ(s337, s338) <=> succ(s337, s338)),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26946,axiom,(succ(s337, s338)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound338')).
% 9.45/7.10 tff(26947,plain,
% 9.45/7.10 (succ(s337, s338)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 9.45/7.10 tff(26948,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26949,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26950,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26949, 26948])).
% 9.45/7.10 tff(26951,plain,
% 9.45/7.10 (trans(s337, s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26950, 26947, 32])).
% 9.45/7.10 tff(26952,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s337, s338)) | node18(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s337, s338)) | node18(s337, s338))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26953,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s337, s338)) | node18(s337, s338))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26954,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s337, s338)) | node18(s337, s338)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26953, 26952])).
% 9.45/7.10 tff(26955,plain,
% 9.45/7.10 (node18(s337, s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26954, 125, 26951])).
% 9.45/7.10 tff(26956,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26957,plain,
% 9.45/7.10 (((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1)) <=> (node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26958,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)))),
% 9.45/7.10 inference(monotonicity,[status(thm)],[26957])).
% 9.45/7.10 tff(26959,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1))),
% 9.45/7.10 inference(transitivity,[status(thm)],[26958, 26956])).
% 9.45/7.10 tff(26960,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node15(s337) | (~node18(s337, s338)) | m_main_v_turn(s338, c_1))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26961,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s337) | (~node18(s337, s338)) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26960, 26959])).
% 9.45/7.10 tff(26962,plain,
% 9.45/7.10 (node15(s337) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_turn(s338, c_1)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26961, 992, 26955])).
% 9.45/7.10 tff(26963,plain,
% 9.45/7.10 (m_main_v_turn(s338, c_1)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26962, 26944, 26936, 26900])).
% 9.45/7.10 tff(26964,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26965,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26966,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s338, c_1)) | (~m_main_v_turn(s338, c_2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26965, 26964])).
% 9.45/7.10 tff(26967,plain,
% 9.45/7.10 (~m_main_v_turn(s338, c_2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26966, 156, 26963])).
% 9.45/7.10 tff(26968,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s338, c_2) | (~node12(s338)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s338, c_2) | (~node12(s338)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26969,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s338, c_2) | (~node12(s338)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26970,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s338, c_2) | (~node12(s338))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26969, 26968])).
% 9.45/7.10 tff(26971,plain,
% 9.45/7.10 (~node12(s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26970, 184, 26967])).
% 9.45/7.10 tff(26972,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s337, s338)) | node14(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s337, s338)) | node14(s337, s338))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26973,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s337, s338)) | node14(s337, s338))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26974,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s337, s338)) | node14(s337, s338)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 9.45/7.10 tff(26975,plain,
% 9.45/7.10 (node14(s337, s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26974, 46, 26951])).
% 9.45/7.10 tff(26976,plain,
% 9.45/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26977,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26978,plain,
% 9.45/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | (~node14(s337, s338)) | m_main_v_state2(s338, c_t2)),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26977, 26976])).
% 9.45/7.10 tff(26979,plain,
% 9.45/7.10 ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state2(s338, c_t2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26978, 922, 26975])).
% 9.45/7.10 tff(26980,plain,
% 9.45/7.10 (m_main_v_state2(s338, c_t2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26979, 26900, 26936])).
% 9.45/7.10 tff(26981,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26982,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26983,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s338, c_n2)) | (~m_main_v_state2(s338, c_t2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 9.45/7.10 tff(26984,plain,
% 9.45/7.10 (~m_main_v_state2(s338, c_n2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26983, 77, 26980])).
% 9.45/7.10 tff(26985,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s338, c_n2) | (~node8(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s338, c_n2) | (~node8(s338)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26986,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s338, c_n2) | (~node8(s338)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26987,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s338, c_n2) | (~node8(s338))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26986, 26985])).
% 9.45/7.10 tff(26988,plain,
% 9.45/7.10 (~node8(s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26987, 271, 26984])).
% 9.45/7.10 tff(26989,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s338, c_n2) | (~node9(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s338, c_n2) | (~node9(s338)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26990,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s338, c_n2) | (~node9(s338)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26991,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s338, c_n2) | (~node9(s338))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26990, 26989])).
% 9.45/7.10 tff(26992,plain,
% 9.45/7.10 (~node9(s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26991, 88, 26984])).
% 9.45/7.10 tff(26993,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s338, c_n2) | (~node10(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s338, c_n2) | (~node10(s338)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26994,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s338, c_n2) | (~node10(s338)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26995,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s338, c_n2) | (~node10(s338))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 9.45/7.10 tff(26996,plain,
% 9.45/7.10 (~node10(s338)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26995, 249, 26984])).
% 9.45/7.10 tff(26997,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(26998,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(26999,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s338, c_t2)) | (~m_main_v_state2(s338, c_c2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[26998, 26997])).
% 9.45/7.10 tff(27000,plain,
% 9.45/7.10 (~m_main_v_state2(s338, c_c2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[26999, 260, 26980])).
% 9.45/7.10 tff(27001,plain,
% 9.45/7.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27002,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(27003,plain,
% 9.45/7.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s337, c_n2)) | (~m_main_v_state2(s337, c_c2))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[27002, 27001])).
% 9.45/7.10 tff(27004,plain,
% 9.45/7.10 (~m_main_v_state2(s337, c_c2)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[27003, 697, 26936])).
% 9.45/7.10 tff(27005,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s337, c_c2) | (~node3(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s337, c_c2) | (~node3(s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27006,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s337, c_c2) | (~node3(s337)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(27007,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s337, c_c2) | (~node3(s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[27006, 27005])).
% 9.45/7.10 tff(27008,plain,
% 9.45/7.10 (~node3(s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[27007, 399, 27004])).
% 9.45/7.10 tff(27009,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27010,plain,
% 9.45/7.10 (((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1))) <=> (m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27011,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337))))),
% 9.45/7.10 inference(monotonicity,[status(thm)],[27010])).
% 9.45/7.10 tff(27012,plain,
% 9.45/7.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337)))),
% 9.45/7.10 inference(transitivity,[status(thm)],[27011, 27009])).
% 9.45/7.10 tff(27013,plain,
% 9.45/7.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s336, s337)) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(27014,plain,
% 9.45/7.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s336, c_n1) | (~m_main_v_state1(s337, c_n1)) | (~node6(s336, s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[27013, 27012])).
% 9.45/7.10 tff(27015,plain,
% 9.45/7.10 (~m_main_v_state1(s337, c_n1)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[27014, 835, 26808, 26893])).
% 9.45/7.10 tff(27016,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s337, c_n1) | (~node2(s337)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s337, c_n1) | (~node2(s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27017,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s337, c_n1) | (~node2(s337)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(27018,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s337, c_n1) | (~node2(s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[27017, 27016])).
% 9.45/7.10 tff(27019,plain,
% 9.45/7.10 (~node2(s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[27018, 787, 27015])).
% 9.45/7.10 tff(27020,plain,
% 9.45/7.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s337, c_t2) | (~node1(s337)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s337, c_t2) | (~node1(s337)))),
% 9.45/7.10 inference(rewrite,[status(thm)],[])).
% 9.45/7.10 tff(27021,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s337, c_t2) | (~node1(s337)))),
% 9.45/7.10 inference(quant_inst,[status(thm)],[])).
% 9.45/7.10 tff(27022,plain,
% 9.45/7.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s337, c_t2) | (~node1(s337))),
% 9.45/7.10 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 9.45/7.10 tff(27023,plain,
% 9.45/7.10 (~node1(s337)),
% 9.45/7.10 inference(unit_resolution,[status(thm)],[27022, 195, 26940])).
% 9.45/7.11 tff(27024,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s337, s338)) | node7(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s337, s338)) | node7(s337, s338))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27025,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s337, s338)) | node7(s337, s338))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27026,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s337, s338)) | node7(s337, s338)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27025, 27024])).
% 9.45/7.11 tff(27027,plain,
% 9.45/7.11 (node7(s337, s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27026, 206, 26951])).
% 9.45/7.11 tff(27028,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27029,plain,
% 9.45/7.11 (((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1)) <=> ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27030,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338))))),
% 9.45/7.11 inference(monotonicity,[status(thm)],[27029])).
% 9.45/7.11 tff(27031,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)))),
% 9.45/7.11 inference(transitivity,[status(thm)],[27030, 27028])).
% 9.45/7.11 tff(27032,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338)) | m_main_v_state1(s338, c_c1))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27033,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337) | (~node7(s337, s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 9.45/7.11 tff(27034,plain,
% 9.45/7.11 ((~m_main_v_state1(s337, c_t1)) | (~m_main_v_state2(s337, c_n2)) | m_main_v_state1(s338, c_c1) | node1(s337) | node2(s337) | node3(s337)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27033, 892, 27027])).
% 9.45/7.11 tff(27035,plain,
% 9.45/7.11 (m_main_v_state1(s338, c_c1)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27034, 27023, 26936, 26900, 27019, 27008])).
% 9.45/7.11 tff(27036,plain,
% 9.45/7.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27037,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27038,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_n1)) | (~m_main_v_state1(s338, c_c1))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27037, 27036])).
% 9.45/7.11 tff(27039,plain,
% 9.45/7.11 (~m_main_v_state1(s338, c_n1)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27038, 454, 27035])).
% 9.45/7.11 tff(27040,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s338, c_n1) | (~node11(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s338, c_n1) | (~node11(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27041,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s338, c_n1) | (~node11(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27042,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s338, c_n1) | (~node11(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 9.45/7.11 tff(27043,plain,
% 9.45/7.11 (~node11(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27042, 238, 27039])).
% 9.45/7.11 tff(27044,plain,
% 9.45/7.11 (succ(s338, s339) <=> succ(s338, s339)),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27045,axiom,(succ(s338, s339)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound339')).
% 9.45/7.11 tff(27046,plain,
% 9.45/7.11 (succ(s338, s339)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 9.45/7.11 tff(27047,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27048,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27049,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 9.45/7.11 tff(27050,plain,
% 9.45/7.11 (trans(s338, s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27049, 27046, 32])).
% 9.45/7.11 tff(27051,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s338, s339)) | node14(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s338, s339)) | node14(s338, s339))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27052,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s338, s339)) | node14(s338, s339))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27053,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s338, s339)) | node14(s338, s339)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27052, 27051])).
% 9.45/7.11 tff(27054,plain,
% 9.45/7.11 (node14(s338, s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27053, 46, 27050])).
% 9.45/7.11 tff(27055,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27056,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27057,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339) | (~node14(s338, s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 9.45/7.11 tff(27058,plain,
% 9.45/7.11 (m_main_v_state2(s338, c_c2) | node9(s338) | node8(s338) | node10(s338) | node11(s338) | node12(s338) | node13(s338, s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27057, 296, 27054])).
% 9.45/7.11 tff(27059,plain,
% 9.45/7.11 (node13(s338, s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27058, 27043, 27000, 26996, 26992, 26988, 26971])).
% 9.45/7.11 tff(27060,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27061,plain,
% 9.45/7.11 (((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2))) <=> (m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27062,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339))))),
% 9.45/7.11 inference(monotonicity,[status(thm)],[27061])).
% 9.45/7.11 tff(27063,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339)))),
% 9.45/7.11 inference(transitivity,[status(thm)],[27062, 27060])).
% 9.45/7.11 tff(27064,plain,
% 9.45/7.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s338, s339)) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27065,plain,
% 9.45/7.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s338, c_n2) | (~m_main_v_state2(s339, c_n2)) | (~node13(s338, s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27064, 27063])).
% 9.45/7.11 tff(27066,plain,
% 9.45/7.11 (~m_main_v_state2(s339, c_n2)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27065, 311, 26984, 27059])).
% 9.45/7.11 tff(27067,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s339, c_n2) | (~node9(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s339, c_n2) | (~node9(s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27068,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s339, c_n2) | (~node9(s339)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27069,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s339, c_n2) | (~node9(s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 9.45/7.11 tff(27070,plain,
% 9.45/7.11 (~node9(s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27069, 88, 27066])).
% 9.45/7.11 tff(27071,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s339, c_n2) | (~node10(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s339, c_n2) | (~node10(s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27072,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s339, c_n2) | (~node10(s339)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27073,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s339, c_n2) | (~node10(s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 9.45/7.11 tff(27074,plain,
% 9.45/7.11 (~node10(s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27073, 249, 27066])).
% 9.45/7.11 tff(27075,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27076,plain,
% 9.45/7.11 (((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2)) <=> ((~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27077,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339))))),
% 9.45/7.11 inference(monotonicity,[status(thm)],[27076])).
% 9.45/7.11 tff(27078,plain,
% 9.45/7.11 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339)))),
% 9.45/7.11 inference(transitivity,[status(thm)],[27077, 27075])).
% 9.45/7.11 tff(27079,plain,
% 9.45/7.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s338, s339)) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27080,plain,
% 9.45/7.11 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s338, c_t2)) | m_main_v_state2(s339, c_t2) | (~node13(s338, s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27079, 27078])).
% 9.45/7.11 tff(27081,plain,
% 9.45/7.11 (m_main_v_state2(s339, c_t2)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27080, 518, 26980, 27059])).
% 9.45/7.11 tff(27082,plain,
% 9.45/7.11 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27083,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27084,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s338, c_t1)) | (~m_main_v_state1(s338, c_c1))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27083, 27082])).
% 9.45/7.11 tff(27085,plain,
% 9.45/7.11 (~m_main_v_state1(s338, c_t1)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27084, 539, 27035])).
% 9.45/7.11 tff(27086,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s338, c_t1) | (~node5(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s338, c_t1) | (~node5(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27087,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s338, c_t1) | (~node5(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27088,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s338, c_t1) | (~node5(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 9.45/7.11 tff(27089,plain,
% 9.45/7.11 (~node5(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27088, 550, 27085])).
% 9.45/7.11 tff(27090,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s338, c_n2) | (~node4(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s338, c_n2) | (~node4(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27091,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s338, c_n2) | (~node4(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27092,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s338, c_n2) | (~node4(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 9.45/7.11 tff(27093,plain,
% 9.45/7.11 (~node4(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27092, 388, 26984])).
% 9.45/7.11 tff(27094,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s338, c_c2) | (~node3(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s338, c_c2) | (~node3(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27095,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s338, c_c2) | (~node3(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27096,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s338, c_c2) | (~node3(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 9.45/7.11 tff(27097,plain,
% 9.45/7.11 (~node3(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27096, 399, 27000])).
% 9.45/7.11 tff(27098,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s338, c_n2) | (~node2(s338)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s338, c_n2) | (~node2(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27099,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s338, c_n2) | (~node2(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27100,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s338, c_n2) | (~node2(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 9.45/7.11 tff(27101,plain,
% 9.45/7.11 (~node2(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27100, 410, 26984])).
% 9.45/7.11 tff(27102,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s338, c_n1) | (~node1(s338)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s338, c_n1) | (~node1(s338)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27103,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s338, c_n1) | (~node1(s338)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27104,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s338, c_n1) | (~node1(s338))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 9.45/7.11 tff(27105,plain,
% 9.45/7.11 (~node1(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27104, 421, 27039])).
% 9.45/7.11 tff(27106,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s338, s339)) | node7(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s338, s339)) | node7(s338, s339))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27107,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s338, s339)) | node7(s338, s339))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27108,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s338, s339)) | node7(s338, s339)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 9.45/7.11 tff(27109,plain,
% 9.45/7.11 (node7(s338, s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27108, 206, 27050])).
% 9.45/7.11 tff(27110,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27111,plain,
% 9.45/7.11 (((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1)) <=> (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27112,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339))))),
% 9.45/7.11 inference(monotonicity,[status(thm)],[27111])).
% 9.45/7.11 tff(27113,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)))),
% 9.45/7.11 inference(transitivity,[status(thm)],[27112, 27110])).
% 9.45/7.11 tff(27114,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339)) | m_main_v_state1(s339, c_n1))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27115,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338) | (~node7(s338, s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27114, 27113])).
% 9.45/7.11 tff(27116,plain,
% 9.45/7.11 (m_main_v_state1(s339, c_n1) | (~m_main_v_state1(s338, c_c1)) | node1(s338) | node2(s338) | node3(s338) | node4(s338) | node5(s338)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27115, 584, 27109])).
% 9.45/7.11 tff(27117,plain,
% 9.45/7.11 (m_main_v_state1(s339, c_n1)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27116, 27105, 27035, 27101, 27097, 27093, 27089])).
% 9.45/7.11 tff(27118,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s339, c_n2) | (~node8(s339)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s339, c_n2) | (~node8(s339)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27119,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s339, c_n2) | (~node8(s339)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27120,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s339, c_n2) | (~node8(s339))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27119, 27118])).
% 9.45/7.11 tff(27121,plain,
% 9.45/7.11 (~node8(s339)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27120, 271, 27066])).
% 9.45/7.11 tff(27122,plain,
% 9.45/7.11 (succ(s339, s340) <=> succ(s339, s340)),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27123,axiom,(succ(s339, s340)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound340')).
% 9.45/7.11 tff(27124,plain,
% 9.45/7.11 (succ(s339, s340)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27123, 27122])).
% 9.45/7.11 tff(27125,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27126,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27127,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27126, 27125])).
% 9.45/7.11 tff(27128,plain,
% 9.45/7.11 (trans(s339, s340)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27127, 27124, 32])).
% 9.45/7.11 tff(27129,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s339, s340)) | node14(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s339, s340)) | node14(s339, s340))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27130,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s339, s340)) | node14(s339, s340))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27131,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s339, s340)) | node14(s339, s340)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 9.45/7.11 tff(27132,plain,
% 9.45/7.11 (node14(s339, s340)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27131, 46, 27128])).
% 9.45/7.11 tff(27133,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27134,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27135,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | (~node14(s339, s340)) | m_main_v_state2(s340, c_c2)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27134, 27133])).
% 9.45/7.11 tff(27136,plain,
% 9.45/7.11 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | node9(s339) | node8(s339) | node10(s339) | m_main_v_state2(s340, c_c2)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27135, 617, 27132])).
% 9.45/7.11 tff(27137,plain,
% 9.45/7.11 (m_main_v_state2(s340, c_c2)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27136, 27121, 27117, 27081, 27074, 27070])).
% 9.45/7.11 tff(27138,plain,
% 9.45/7.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27139,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27140,plain,
% 9.45/7.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_t2)) | (~m_main_v_state2(s340, c_c2))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 9.45/7.11 tff(27141,plain,
% 9.45/7.11 (~m_main_v_state2(s340, c_t2)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27140, 260, 27137])).
% 9.45/7.11 tff(27142,plain,
% 9.45/7.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s340, c_t2) | (~node12(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s340, c_t2) | (~node12(s340)))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27143,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s340, c_t2) | (~node12(s340)))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27144,plain,
% 9.45/7.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s340, c_t2) | (~node12(s340))),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 9.45/7.11 tff(27145,plain,
% 9.45/7.11 (~node12(s340)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27144, 633, 27141])).
% 9.45/7.11 tff(27146,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s339, s340)) | node7(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s339, s340)) | node7(s339, s340))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27147,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s339, s340)) | node7(s339, s340))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27148,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s339, s340)) | node7(s339, s340)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 9.45/7.11 tff(27149,plain,
% 9.45/7.11 (node7(s339, s340)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27148, 206, 27128])).
% 9.45/7.11 tff(27150,plain,
% 9.45/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1))),
% 9.45/7.11 inference(rewrite,[status(thm)],[])).
% 9.45/7.11 tff(27151,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1))),
% 9.45/7.11 inference(quant_inst,[status(thm)],[])).
% 9.45/7.11 tff(27152,plain,
% 9.45/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node7(s339, s340)) | m_main_v_state1(s340, c_t1)),
% 9.45/7.11 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 9.45/7.11 tff(27153,plain,
% 9.45/7.11 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | m_main_v_state1(s340, c_t1)),
% 9.45/7.11 inference(unit_resolution,[status(thm)],[27152, 651, 27149])).
% 9.45/7.11 tff(27154,plain,
% 9.45/7.11 (m_main_v_state1(s340, c_t1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27153, 27081, 27117])).
% 9.45/7.12 tff(27155,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27156,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27157,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s340, c_n1)) | (~m_main_v_state1(s340, c_t1))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27156, 27155])).
% 9.45/7.12 tff(27158,plain,
% 9.45/7.12 (~m_main_v_state1(s340, c_n1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27157, 10, 27154])).
% 9.45/7.12 tff(27159,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s340, c_n1) | (~node11(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s340, c_n1) | (~node11(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27160,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s340, c_n1) | (~node11(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27161,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s340, c_n1) | (~node11(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 9.45/7.12 tff(27162,plain,
% 9.45/7.12 (~node11(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27161, 238, 27158])).
% 9.45/7.12 tff(27163,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27164,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27165,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s340, c_t1)) | (~m_main_v_state1(s340, c_c1))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 9.45/7.12 tff(27166,plain,
% 9.45/7.12 (~m_main_v_state1(s340, c_c1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27165, 539, 27154])).
% 9.45/7.12 tff(27167,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s340, c_c1) | (~node10(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s340, c_c1) | (~node10(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27168,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s340, c_c1) | (~node10(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27169,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s340, c_c1) | (~node10(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27168, 27167])).
% 9.45/7.12 tff(27170,plain,
% 9.45/7.12 (~node10(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27169, 675, 27166])).
% 9.45/7.12 tff(27171,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s340, c_n1) | (~node9(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s340, c_n1) | (~node9(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27172,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s340, c_n1) | (~node9(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27173,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s340, c_n1) | (~node9(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27172, 27171])).
% 9.45/7.12 tff(27174,plain,
% 9.45/7.12 (~node9(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27173, 686, 27158])).
% 9.45/7.12 tff(27175,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27176,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27177,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s340, c_n2)) | (~m_main_v_state2(s340, c_c2))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 9.45/7.12 tff(27178,plain,
% 9.45/7.12 (~m_main_v_state2(s340, c_n2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27177, 697, 27137])).
% 9.45/7.12 tff(27179,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s340, c_n2) | (~node8(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s340, c_n2) | (~node8(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27180,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s340, c_n2) | (~node8(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27181,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s340, c_n2) | (~node8(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 9.45/7.12 tff(27182,plain,
% 9.45/7.12 (~node8(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27181, 271, 27178])).
% 9.45/7.12 tff(27183,plain,
% 9.45/7.12 (succ(s340, s341) <=> succ(s340, s341)),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27184,axiom,(succ(s340, s341)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound341')).
% 9.45/7.12 tff(27185,plain,
% 9.45/7.12 (succ(s340, s341)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27184, 27183])).
% 9.45/7.12 tff(27186,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27187,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27188,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 9.45/7.12 tff(27189,plain,
% 9.45/7.12 (trans(s340, s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27188, 27185, 32])).
% 9.45/7.12 tff(27190,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s340, s341)) | node14(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s340, s341)) | node14(s340, s341))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27191,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s340, s341)) | node14(s340, s341))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27192,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s340, s341)) | node14(s340, s341)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27191, 27190])).
% 9.45/7.12 tff(27193,plain,
% 9.45/7.12 (node14(s340, s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27192, 46, 27189])).
% 9.45/7.12 tff(27194,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27195,plain,
% 9.45/7.12 (((~m_main_v_state2(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2)) <=> (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27196,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2))))),
% 9.45/7.12 inference(monotonicity,[status(thm)],[27195])).
% 9.45/7.12 tff(27197,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2)))),
% 9.45/7.12 inference(transitivity,[status(thm)],[27196, 27194])).
% 9.45/7.12 tff(27198,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s340, c_c2)) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | m_main_v_state2(s341, c_n2))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27199,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~node14(s340, s341)) | (~m_main_v_state2(s340, c_c2))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27198, 27197])).
% 9.45/7.12 tff(27200,plain,
% 9.45/7.12 (m_main_v_state2(s341, c_n2) | node9(s340) | node8(s340) | node10(s340) | node11(s340) | node12(s340) | (~m_main_v_state2(s340, c_c2))),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27199, 726, 27193])).
% 9.45/7.12 tff(27201,plain,
% 9.45/7.12 (m_main_v_state2(s341, c_n2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27200, 27182, 27137, 27174, 27170, 27162, 27145])).
% 9.45/7.12 tff(27202,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27203,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27204,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_c2))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27203, 27202])).
% 9.45/7.12 tff(27205,plain,
% 9.45/7.12 (~m_main_v_state2(s341, c_c2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27204, 697, 27201])).
% 9.45/7.12 tff(27206,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s341, c_c2) | (~node3(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s341, c_c2) | (~node3(s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27207,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s341, c_c2) | (~node3(s341)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27208,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s341, c_c2) | (~node3(s341))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 9.45/7.12 tff(27209,plain,
% 9.45/7.12 (~node3(s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27208, 399, 27205])).
% 9.45/7.12 tff(27210,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s340, c_n1) | (~node1(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s340, c_n1) | (~node1(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27211,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s340, c_n1) | (~node1(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27212,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s340, c_n1) | (~node1(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 9.45/7.12 tff(27213,plain,
% 9.45/7.12 (~node1(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27212, 421, 27158])).
% 9.45/7.12 tff(27214,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s339, s340)) | node18(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s339, s340)) | node18(s339, s340))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27215,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s339, s340)) | node18(s339, s340))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27216,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s339, s340)) | node18(s339, s340)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27215, 27214])).
% 9.45/7.12 tff(27217,plain,
% 9.45/7.12 (node18(s339, s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27216, 125, 27128])).
% 9.45/7.12 tff(27218,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27219,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27220,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | (~node18(s339, s340)) | m_main_v_turn(s340, c_2)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 9.45/7.12 tff(27221,plain,
% 9.45/7.12 ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state2(s339, c_t2)) | m_main_v_turn(s340, c_2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27220, 760, 27217])).
% 9.45/7.12 tff(27222,plain,
% 9.45/7.12 (m_main_v_turn(s340, c_2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27221, 27081, 27117])).
% 9.45/7.12 tff(27223,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27224,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27225,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s340, c_1)) | (~m_main_v_turn(s340, c_2))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27224, 27223])).
% 9.45/7.12 tff(27226,plain,
% 9.45/7.12 (~m_main_v_turn(s340, c_1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27225, 156, 27222])).
% 9.45/7.12 tff(27227,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s340, c_1) | (~node5(s340)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s340, c_1) | (~node5(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27228,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s340, c_1) | (~node5(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27229,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s340, c_1) | (~node5(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 9.45/7.12 tff(27230,plain,
% 9.45/7.12 (~node5(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27229, 776, 27226])).
% 9.45/7.12 tff(27231,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s340, c_n1) | (~node2(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s340, c_n1) | (~node2(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27232,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s340, c_n1) | (~node2(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27233,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s340, c_n1) | (~node2(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 9.45/7.12 tff(27234,plain,
% 9.45/7.12 (~node2(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27233, 787, 27158])).
% 9.45/7.12 tff(27235,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s340, c_n1) | (~node3(s340)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s340, c_n1) | (~node3(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27236,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s340, c_n1) | (~node3(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27237,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s340, c_n1) | (~node3(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27236, 27235])).
% 9.45/7.12 tff(27238,plain,
% 9.45/7.12 (~node3(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27237, 798, 27158])).
% 9.45/7.12 tff(27239,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s340, c_n2) | (~node4(s340)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s340, c_n2) | (~node4(s340)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27240,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s340, c_n2) | (~node4(s340)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27241,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s340, c_n2) | (~node4(s340))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27240, 27239])).
% 9.45/7.12 tff(27242,plain,
% 9.45/7.12 (~node4(s340)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27241, 388, 27178])).
% 9.45/7.12 tff(27243,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s340, s341)) | node7(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s340, s341)) | node7(s340, s341))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27244,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s340, s341)) | node7(s340, s341))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27245,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s340, s341)) | node7(s340, s341)),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 9.45/7.12 tff(27246,plain,
% 9.45/7.12 (node7(s340, s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27245, 206, 27189])).
% 9.45/7.12 tff(27247,plain,
% 9.45/7.12 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27248,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27249,plain,
% 9.45/7.12 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341) | (~node7(s340, s341))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 9.45/7.12 tff(27250,plain,
% 9.45/7.12 (m_main_v_state1(s340, c_c1) | node1(s340) | node2(s340) | node3(s340) | node4(s340) | node5(s340) | node6(s340, s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27249, 820, 27246])).
% 9.45/7.12 tff(27251,plain,
% 9.45/7.12 (node6(s340, s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27250, 27242, 27166, 27238, 27234, 27230, 27213])).
% 9.45/7.12 tff(27252,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27253,plain,
% 9.45/7.12 (((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1))) <=> (m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27254,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341))))),
% 9.45/7.12 inference(monotonicity,[status(thm)],[27253])).
% 9.45/7.12 tff(27255,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341)))),
% 9.45/7.12 inference(transitivity,[status(thm)],[27254, 27252])).
% 9.45/7.12 tff(27256,plain,
% 9.45/7.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s340, s341)) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27257,plain,
% 9.45/7.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s340, c_n1) | (~m_main_v_state1(s341, c_n1)) | (~node6(s340, s341))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27256, 27255])).
% 9.45/7.12 tff(27258,plain,
% 9.45/7.12 (~m_main_v_state1(s341, c_n1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27257, 835, 27158, 27251])).
% 9.45/7.12 tff(27259,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s341, c_n1) | (~node2(s341)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s341, c_n1) | (~node2(s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27260,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s341, c_n1) | (~node2(s341)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27261,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s341, c_n1) | (~node2(s341))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 9.45/7.12 tff(27262,plain,
% 9.45/7.12 (~node2(s341)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27261, 787, 27258])).
% 9.45/7.12 tff(27263,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27264,plain,
% 9.45/7.12 (((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1)) <=> ((~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27265,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341))))),
% 9.45/7.12 inference(monotonicity,[status(thm)],[27264])).
% 9.45/7.12 tff(27266,plain,
% 9.45/7.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341)))),
% 9.45/7.12 inference(transitivity,[status(thm)],[27265, 27263])).
% 9.45/7.12 tff(27267,plain,
% 9.45/7.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s340, s341)) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27268,plain,
% 9.45/7.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s340, c_t1)) | m_main_v_state1(s341, c_t1) | (~node6(s340, s341))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27267, 27266])).
% 9.45/7.12 tff(27269,plain,
% 9.45/7.12 (m_main_v_state1(s341, c_t1)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27268, 856, 27154, 27251])).
% 9.45/7.12 tff(27270,plain,
% 9.45/7.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27271,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27272,plain,
% 9.45/7.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s341, c_n2)) | (~m_main_v_state2(s341, c_t2))),
% 9.45/7.12 inference(modus_ponens,[status(thm)],[27271, 27270])).
% 9.45/7.12 tff(27273,plain,
% 9.45/7.12 (~m_main_v_state2(s341, c_t2)),
% 9.45/7.12 inference(unit_resolution,[status(thm)],[27272, 77, 27201])).
% 9.45/7.12 tff(27274,plain,
% 9.45/7.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s341, c_t2) | (~node1(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s341, c_t2) | (~node1(s341)))),
% 9.45/7.12 inference(rewrite,[status(thm)],[])).
% 9.45/7.12 tff(27275,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s341, c_t2) | (~node1(s341)))),
% 9.45/7.12 inference(quant_inst,[status(thm)],[])).
% 9.45/7.12 tff(27276,plain,
% 9.45/7.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s341, c_t2) | (~node1(s341))),
% 9.49/7.12 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 9.49/7.12 tff(27277,plain,
% 9.49/7.12 (~node1(s341)),
% 9.49/7.12 inference(unit_resolution,[status(thm)],[27276, 195, 27273])).
% 9.49/7.12 tff(27278,plain,
% 9.49/7.12 (succ(s341, s342) <=> succ(s341, s342)),
% 9.49/7.12 inference(rewrite,[status(thm)],[])).
% 9.49/7.12 tff(27279,axiom,(succ(s341, s342)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound342')).
% 9.49/7.12 tff(27280,plain,
% 9.49/7.12 (succ(s341, s342)),
% 9.49/7.12 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 9.49/7.12 tff(27281,plain,
% 9.49/7.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342))),
% 9.49/7.12 inference(rewrite,[status(thm)],[])).
% 9.49/7.12 tff(27282,plain,
% 9.49/7.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))),
% 9.49/7.12 inference(quant_inst,[status(thm)],[])).
% 9.49/7.12 tff(27283,plain,
% 9.49/7.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342)),
% 9.49/7.12 inference(modus_ponens,[status(thm)],[27282, 27281])).
% 9.49/7.12 tff(27284,plain,
% 9.49/7.12 (trans(s341, s342)),
% 9.49/7.12 inference(unit_resolution,[status(thm)],[27283, 27280, 32])).
% 9.49/7.12 tff(27285,plain,
% 9.49/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s341, s342)) | node7(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s341, s342)) | node7(s341, s342))),
% 9.49/7.12 inference(rewrite,[status(thm)],[])).
% 9.49/7.12 tff(27286,plain,
% 9.49/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s341, s342)) | node7(s341, s342))),
% 9.49/7.12 inference(quant_inst,[status(thm)],[])).
% 9.49/7.12 tff(27287,plain,
% 9.49/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s341, s342)) | node7(s341, s342)),
% 9.49/7.12 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 9.49/7.12 tff(27288,plain,
% 9.49/7.12 (node7(s341, s342)),
% 9.49/7.12 inference(unit_resolution,[status(thm)],[27287, 206, 27284])).
% 9.49/7.12 tff(27289,plain,
% 9.49/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 9.49/7.12 inference(rewrite,[status(thm)],[])).
% 9.49/7.12 tff(27290,plain,
% 9.49/7.12 (((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1)) <=> ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 9.49/7.12 inference(rewrite,[status(thm)],[])).
% 9.49/7.12 tff(27291,plain,
% 9.49/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342))))),
% 9.49/7.12 inference(monotonicity,[status(thm)],[27290])).
% 9.49/7.12 tff(27292,plain,
% 9.49/7.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)))),
% 9.49/7.13 inference(transitivity,[status(thm)],[27291, 27289])).
% 9.49/7.13 tff(27293,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342)) | m_main_v_state1(s342, c_c1))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27294,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341) | (~node7(s341, s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27293, 27292])).
% 9.49/7.13 tff(27295,plain,
% 9.49/7.13 ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state1(s342, c_c1) | node1(s341) | node2(s341) | node3(s341)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27294, 892, 27288])).
% 9.49/7.13 tff(27296,plain,
% 9.49/7.13 (m_main_v_state1(s342, c_c1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27295, 27277, 27201, 27269, 27262, 27209])).
% 9.49/7.13 tff(27297,plain,
% 9.49/7.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27298,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27299,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_t1)) | (~m_main_v_state1(s342, c_c1))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27298, 27297])).
% 9.49/7.13 tff(27300,plain,
% 9.49/7.13 (~m_main_v_state1(s342, c_t1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27299, 539, 27296])).
% 9.49/7.13 tff(27301,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s342, c_t1) | (~node5(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s342, c_t1) | (~node5(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27302,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s342, c_t1) | (~node5(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27303,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s342, c_t1) | (~node5(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 9.49/7.13 tff(27304,plain,
% 9.49/7.13 (~node5(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27303, 550, 27300])).
% 9.49/7.13 tff(27305,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s341, s342)) | node14(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s341, s342)) | node14(s341, s342))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27306,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s341, s342)) | node14(s341, s342))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27307,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s341, s342)) | node14(s341, s342)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 9.49/7.13 tff(27308,plain,
% 9.49/7.13 (node14(s341, s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27307, 46, 27284])).
% 9.49/7.13 tff(27309,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27310,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27311,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | (~node14(s341, s342)) | m_main_v_state2(s342, c_t2)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27310, 27309])).
% 9.49/7.13 tff(27312,plain,
% 9.49/7.13 ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_state2(s342, c_t2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27311, 922, 27308])).
% 9.49/7.13 tff(27313,plain,
% 9.49/7.13 (m_main_v_state2(s342, c_t2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27312, 27269, 27201])).
% 9.49/7.13 tff(27314,plain,
% 9.49/7.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27315,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27316,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s342, c_n2)) | (~m_main_v_state2(s342, c_t2))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27315, 27314])).
% 9.49/7.13 tff(27317,plain,
% 9.49/7.13 (~m_main_v_state2(s342, c_n2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27316, 77, 27313])).
% 9.49/7.13 tff(27318,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s342, c_n2) | (~node4(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s342, c_n2) | (~node4(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27319,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s342, c_n2) | (~node4(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27320,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s342, c_n2) | (~node4(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 9.49/7.13 tff(27321,plain,
% 9.49/7.13 (~node4(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27320, 388, 27317])).
% 9.49/7.13 tff(27322,plain,
% 9.49/7.13 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27323,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27324,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s342, c_t2)) | (~m_main_v_state2(s342, c_c2))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27323, 27322])).
% 9.49/7.13 tff(27325,plain,
% 9.49/7.13 (~m_main_v_state2(s342, c_c2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27324, 260, 27313])).
% 9.49/7.13 tff(27326,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s342, c_c2) | (~node3(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s342, c_c2) | (~node3(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27327,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s342, c_c2) | (~node3(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27328,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s342, c_c2) | (~node3(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 9.49/7.13 tff(27329,plain,
% 9.49/7.13 (~node3(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27328, 399, 27325])).
% 9.49/7.13 tff(27330,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s342, c_n2) | (~node2(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s342, c_n2) | (~node2(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27331,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s342, c_n2) | (~node2(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27332,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s342, c_n2) | (~node2(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 9.49/7.13 tff(27333,plain,
% 9.49/7.13 (~node2(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27332, 410, 27317])).
% 9.49/7.13 tff(27334,plain,
% 9.49/7.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27335,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27336,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s342, c_n1)) | (~m_main_v_state1(s342, c_c1))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27335, 27334])).
% 9.49/7.13 tff(27337,plain,
% 9.49/7.13 (~m_main_v_state1(s342, c_n1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27336, 454, 27296])).
% 9.49/7.13 tff(27338,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s342, c_n1) | (~node1(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s342, c_n1) | (~node1(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27339,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s342, c_n1) | (~node1(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27340,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s342, c_n1) | (~node1(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 9.49/7.13 tff(27341,plain,
% 9.49/7.13 (~node1(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27340, 421, 27337])).
% 9.49/7.13 tff(27342,plain,
% 9.49/7.13 (succ(s342, s343) <=> succ(s342, s343)),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27343,axiom,(succ(s342, s343)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound343')).
% 9.49/7.13 tff(27344,plain,
% 9.49/7.13 (succ(s342, s343)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 9.49/7.13 tff(27345,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27346,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27347,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27346, 27345])).
% 9.49/7.13 tff(27348,plain,
% 9.49/7.13 (trans(s342, s343)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27347, 27344, 32])).
% 9.49/7.13 tff(27349,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s342, s343)) | node7(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s342, s343)) | node7(s342, s343))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27350,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s342, s343)) | node7(s342, s343))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27351,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s342, s343)) | node7(s342, s343)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 9.49/7.13 tff(27352,plain,
% 9.49/7.13 (node7(s342, s343)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27351, 206, 27348])).
% 9.49/7.13 tff(27353,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27354,plain,
% 9.49/7.13 (((~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1)) <=> (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27355,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343))))),
% 9.49/7.13 inference(monotonicity,[status(thm)],[27354])).
% 9.49/7.13 tff(27356,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)))),
% 9.49/7.13 inference(transitivity,[status(thm)],[27355, 27353])).
% 9.49/7.13 tff(27357,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343)) | m_main_v_state1(s343, c_n1))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27358,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342) | (~node7(s342, s343))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27357, 27356])).
% 9.49/7.13 tff(27359,plain,
% 9.49/7.13 (m_main_v_state1(s343, c_n1) | (~m_main_v_state1(s342, c_c1)) | node1(s342) | node2(s342) | node3(s342) | node4(s342) | node5(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27358, 584, 27352])).
% 9.49/7.13 tff(27360,plain,
% 9.49/7.13 (m_main_v_state1(s343, c_n1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27359, 27341, 27296, 27333, 27329, 27321, 27304])).
% 9.49/7.13 tff(27361,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s341, c_t2) | (~node15(s341)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s341, c_t2) | (~node15(s341)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27362,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s341, c_t2) | (~node15(s341)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27363,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s341, c_t2) | (~node15(s341))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27362, 27361])).
% 9.49/7.13 tff(27364,plain,
% 9.49/7.13 (~node15(s341)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27363, 103, 27273])).
% 9.49/7.13 tff(27365,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s341, s342)) | node18(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s341, s342)) | node18(s341, s342))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27366,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s341, s342)) | node18(s341, s342))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27367,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s341, s342)) | node18(s341, s342)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27366, 27365])).
% 9.49/7.13 tff(27368,plain,
% 9.49/7.13 (node18(s341, s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27367, 125, 27284])).
% 9.49/7.13 tff(27369,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27370,plain,
% 9.49/7.13 (((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1)) <=> (node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27371,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)))),
% 9.49/7.13 inference(monotonicity,[status(thm)],[27370])).
% 9.49/7.13 tff(27372,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1))),
% 9.49/7.13 inference(transitivity,[status(thm)],[27371, 27369])).
% 9.49/7.13 tff(27373,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | node15(s341) | (~node18(s341, s342)) | m_main_v_turn(s342, c_1))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27374,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s341) | (~node18(s341, s342)) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 9.49/7.13 tff(27375,plain,
% 9.49/7.13 (node15(s341) | (~m_main_v_state1(s341, c_t1)) | (~m_main_v_state2(s341, c_n2)) | m_main_v_turn(s342, c_1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27374, 992, 27368])).
% 9.49/7.13 tff(27376,plain,
% 9.49/7.13 (m_main_v_turn(s342, c_1)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27375, 27364, 27201, 27269])).
% 9.49/7.13 tff(27377,plain,
% 9.49/7.13 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27378,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27379,plain,
% 9.49/7.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s342, c_1)) | (~m_main_v_turn(s342, c_2))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 9.49/7.13 tff(27380,plain,
% 9.49/7.13 (~m_main_v_turn(s342, c_2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27379, 156, 27376])).
% 9.49/7.13 tff(27381,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s342, c_2) | (~node12(s342)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s342, c_2) | (~node12(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27382,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s342, c_2) | (~node12(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27383,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s342, c_2) | (~node12(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27382, 27381])).
% 9.49/7.13 tff(27384,plain,
% 9.49/7.13 (~node12(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27383, 184, 27380])).
% 9.49/7.13 tff(27385,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s342, c_n2) | (~node8(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s342, c_n2) | (~node8(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27386,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s342, c_n2) | (~node8(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27387,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s342, c_n2) | (~node8(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 9.49/7.13 tff(27388,plain,
% 9.49/7.13 (~node8(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27387, 271, 27317])).
% 9.49/7.13 tff(27389,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s342, c_n2) | (~node9(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s342, c_n2) | (~node9(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27390,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s342, c_n2) | (~node9(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27391,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s342, c_n2) | (~node9(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27390, 27389])).
% 9.49/7.13 tff(27392,plain,
% 9.49/7.13 (~node9(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27391, 88, 27317])).
% 9.49/7.13 tff(27393,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s342, c_n2) | (~node10(s342)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s342, c_n2) | (~node10(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27394,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s342, c_n2) | (~node10(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27395,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s342, c_n2) | (~node10(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 9.49/7.13 tff(27396,plain,
% 9.49/7.13 (~node10(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27395, 249, 27317])).
% 9.49/7.13 tff(27397,plain,
% 9.49/7.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s342, c_n1) | (~node11(s342)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s342, c_n1) | (~node11(s342)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27398,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s342, c_n1) | (~node11(s342)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27399,plain,
% 9.49/7.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s342, c_n1) | (~node11(s342))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27398, 27397])).
% 9.49/7.13 tff(27400,plain,
% 9.49/7.13 (~node11(s342)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27399, 238, 27337])).
% 9.49/7.13 tff(27401,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s342, s343)) | node14(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s342, s343)) | node14(s342, s343))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27402,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s342, s343)) | node14(s342, s343))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27403,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s342, s343)) | node14(s342, s343)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 9.49/7.13 tff(27404,plain,
% 9.49/7.13 (node14(s342, s343)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27403, 46, 27348])).
% 9.49/7.13 tff(27405,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27406,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343)))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27407,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343) | (~node14(s342, s343))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27406, 27405])).
% 9.49/7.13 tff(27408,plain,
% 9.49/7.13 (m_main_v_state2(s342, c_c2) | node9(s342) | node8(s342) | node10(s342) | node11(s342) | node12(s342) | node13(s342, s343)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27407, 296, 27404])).
% 9.49/7.13 tff(27409,plain,
% 9.49/7.13 (node13(s342, s343)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27408, 27400, 27325, 27396, 27392, 27388, 27384])).
% 9.49/7.13 tff(27410,plain,
% 9.49/7.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27411,plain,
% 9.49/7.13 (((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2)) <=> ((~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27412,plain,
% 9.49/7.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343))))),
% 9.49/7.13 inference(monotonicity,[status(thm)],[27411])).
% 9.49/7.13 tff(27413,plain,
% 9.49/7.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343)))),
% 9.49/7.13 inference(transitivity,[status(thm)],[27412, 27410])).
% 9.49/7.13 tff(27414,plain,
% 9.49/7.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s342, s343)) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27415,plain,
% 9.49/7.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s342, c_t2)) | m_main_v_state2(s343, c_t2) | (~node13(s342, s343))),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27414, 27413])).
% 9.49/7.13 tff(27416,plain,
% 9.49/7.13 (m_main_v_state2(s343, c_t2)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27415, 518, 27313, 27409])).
% 9.49/7.13 tff(27417,plain,
% 9.49/7.13 (succ(s343, s344) <=> succ(s343, s344)),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27418,axiom,(succ(s343, s344)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound344')).
% 9.49/7.13 tff(27419,plain,
% 9.49/7.13 (succ(s343, s344)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27418, 27417])).
% 9.49/7.13 tff(27420,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344))),
% 9.49/7.13 inference(rewrite,[status(thm)],[])).
% 9.49/7.13 tff(27421,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))),
% 9.49/7.13 inference(quant_inst,[status(thm)],[])).
% 9.49/7.13 tff(27422,plain,
% 9.49/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344)),
% 9.49/7.13 inference(modus_ponens,[status(thm)],[27421, 27420])).
% 9.49/7.13 tff(27423,plain,
% 9.49/7.13 (trans(s343, s344)),
% 9.49/7.13 inference(unit_resolution,[status(thm)],[27422, 27419, 32])).
% 9.49/7.13 tff(27424,plain,
% 9.49/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s343, s344)) | node7(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s343, s344)) | node7(s343, s344))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27425,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s343, s344)) | node7(s343, s344))),
% 9.49/7.14 inference(quant_inst,[status(thm)],[])).
% 9.49/7.14 tff(27426,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s343, s344)) | node7(s343, s344)),
% 9.49/7.14 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 9.49/7.14 tff(27427,plain,
% 9.49/7.14 (node7(s343, s344)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27426, 206, 27423])).
% 9.49/7.14 tff(27428,plain,
% 9.49/7.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27429,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1))),
% 9.49/7.14 inference(quant_inst,[status(thm)],[])).
% 9.49/7.14 tff(27430,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node7(s343, s344)) | m_main_v_state1(s344, c_t1)),
% 9.49/7.14 inference(modus_ponens,[status(thm)],[27429, 27428])).
% 9.49/7.14 tff(27431,plain,
% 9.49/7.14 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | m_main_v_state1(s344, c_t1)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27430, 651, 27427])).
% 9.49/7.14 tff(27432,plain,
% 9.49/7.14 (m_main_v_state1(s344, c_t1)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27431, 27416, 27360])).
% 9.49/7.14 tff(27433,plain,
% 9.49/7.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27434,plain,
% 9.49/7.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1)))),
% 9.49/7.14 inference(quant_inst,[status(thm)],[])).
% 9.49/7.14 tff(27435,plain,
% 9.49/7.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s344, c_n1)) | (~m_main_v_state1(s344, c_t1))),
% 9.49/7.14 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 9.49/7.14 tff(27436,plain,
% 9.49/7.14 (~m_main_v_state1(s344, c_n1)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27435, 10, 27432])).
% 9.49/7.14 tff(27437,plain,
% 9.49/7.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s344, c_n1) | (~node1(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s344, c_n1) | (~node1(s344)))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27438,plain,
% 9.49/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s344, c_n1) | (~node1(s344)))),
% 9.49/7.14 inference(quant_inst,[status(thm)],[])).
% 9.49/7.14 tff(27439,plain,
% 9.49/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s344, c_n1) | (~node1(s344))),
% 9.49/7.14 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 9.49/7.14 tff(27440,plain,
% 9.49/7.14 (~node1(s344)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27439, 421, 27436])).
% 9.49/7.14 tff(27441,plain,
% 9.49/7.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s343, s344)) | node18(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s343, s344)) | node18(s343, s344))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27442,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s343, s344)) | node18(s343, s344))),
% 9.49/7.14 inference(quant_inst,[status(thm)],[])).
% 9.49/7.14 tff(27443,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s343, s344)) | node18(s343, s344)),
% 9.49/7.14 inference(modus_ponens,[status(thm)],[27442, 27441])).
% 9.49/7.14 tff(27444,plain,
% 9.49/7.14 (node18(s343, s344)),
% 9.49/7.14 inference(unit_resolution,[status(thm)],[27443, 125, 27423])).
% 9.49/7.14 tff(27445,plain,
% 9.49/7.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2))),
% 9.49/7.14 inference(rewrite,[status(thm)],[])).
% 9.49/7.14 tff(27446,plain,
% 9.49/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27447,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | (~node18(s343, s344)) | m_main_v_turn(s344, c_2)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27446, 27445])).
% 9.51/7.14 tff(27448,plain,
% 9.51/7.14 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | m_main_v_turn(s344, c_2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27447, 760, 27444])).
% 9.51/7.14 tff(27449,plain,
% 9.51/7.14 (m_main_v_turn(s344, c_2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27448, 27416, 27360])).
% 9.51/7.14 tff(27450,plain,
% 9.51/7.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27451,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27452,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s344, c_1)) | (~m_main_v_turn(s344, c_2))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27451, 27450])).
% 9.51/7.14 tff(27453,plain,
% 9.51/7.14 (~m_main_v_turn(s344, c_1)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27452, 156, 27449])).
% 9.51/7.14 tff(27454,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s344, c_1) | (~node5(s344)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s344, c_1) | (~node5(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27455,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s344, c_1) | (~node5(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27456,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s344, c_1) | (~node5(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27455, 27454])).
% 9.51/7.14 tff(27457,plain,
% 9.51/7.14 (~node5(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27456, 776, 27453])).
% 9.51/7.14 tff(27458,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s344, c_n1) | (~node2(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s344, c_n1) | (~node2(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27459,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s344, c_n1) | (~node2(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27460,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s344, c_n1) | (~node2(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 9.51/7.14 tff(27461,plain,
% 9.51/7.14 (~node2(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27460, 787, 27436])).
% 9.51/7.14 tff(27462,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s344, c_n1) | (~node3(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s344, c_n1) | (~node3(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27463,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s344, c_n1) | (~node3(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27464,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s344, c_n1) | (~node3(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 9.51/7.14 tff(27465,plain,
% 9.51/7.14 (~node3(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27464, 798, 27436])).
% 9.51/7.14 tff(27466,plain,
% 9.51/7.14 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27467,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27468,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s344, c_t1)) | (~m_main_v_state1(s344, c_c1))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27467, 27466])).
% 9.51/7.14 tff(27469,plain,
% 9.51/7.14 (~m_main_v_state1(s344, c_c1)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27468, 539, 27432])).
% 9.51/7.14 tff(27470,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27471,plain,
% 9.51/7.14 (((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2))) <=> (m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27472,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343))))),
% 9.51/7.14 inference(monotonicity,[status(thm)],[27471])).
% 9.51/7.14 tff(27473,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343)))),
% 9.51/7.14 inference(transitivity,[status(thm)],[27472, 27470])).
% 9.51/7.14 tff(27474,plain,
% 9.51/7.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s342, s343)) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27475,plain,
% 9.51/7.14 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s342, c_n2) | (~m_main_v_state2(s343, c_n2)) | (~node13(s342, s343))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 9.51/7.14 tff(27476,plain,
% 9.51/7.14 (~m_main_v_state2(s343, c_n2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27475, 311, 27317, 27409])).
% 9.51/7.14 tff(27477,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s343, c_n2) | (~node9(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s343, c_n2) | (~node9(s343)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27478,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s343, c_n2) | (~node9(s343)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27479,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s343, c_n2) | (~node9(s343))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27478, 27477])).
% 9.51/7.14 tff(27480,plain,
% 9.51/7.14 (~node9(s343)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27479, 88, 27476])).
% 9.51/7.14 tff(27481,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s343, c_n2) | (~node10(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s343, c_n2) | (~node10(s343)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27482,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s343, c_n2) | (~node10(s343)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27483,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s343, c_n2) | (~node10(s343))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27482, 27481])).
% 9.51/7.14 tff(27484,plain,
% 9.51/7.14 (~node10(s343)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27483, 249, 27476])).
% 9.51/7.14 tff(27485,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s343, c_n2) | (~node8(s343)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s343, c_n2) | (~node8(s343)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27486,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s343, c_n2) | (~node8(s343)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27487,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s343, c_n2) | (~node8(s343))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 9.51/7.14 tff(27488,plain,
% 9.51/7.14 (~node8(s343)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27487, 271, 27476])).
% 9.51/7.14 tff(27489,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s343, s344)) | node14(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s343, s344)) | node14(s343, s344))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27490,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s343, s344)) | node14(s343, s344))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27491,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s343, s344)) | node14(s343, s344)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27490, 27489])).
% 9.51/7.14 tff(27492,plain,
% 9.51/7.14 (node14(s343, s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27491, 46, 27423])).
% 9.51/7.14 tff(27493,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27494,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27495,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | (~node14(s343, s344)) | m_main_v_state2(s344, c_c2)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27494, 27493])).
% 9.51/7.14 tff(27496,plain,
% 9.51/7.14 ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state2(s343, c_t2)) | node9(s343) | node8(s343) | node10(s343) | m_main_v_state2(s344, c_c2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27495, 617, 27492])).
% 9.51/7.14 tff(27497,plain,
% 9.51/7.14 (m_main_v_state2(s344, c_c2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27496, 27488, 27360, 27416, 27484, 27480])).
% 9.51/7.14 tff(27498,plain,
% 9.51/7.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27499,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27500,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_n2)) | (~m_main_v_state2(s344, c_c2))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 9.51/7.14 tff(27501,plain,
% 9.51/7.14 (~m_main_v_state2(s344, c_n2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27500, 697, 27497])).
% 9.51/7.14 tff(27502,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s344, c_n2) | (~node4(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s344, c_n2) | (~node4(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27503,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s344, c_n2) | (~node4(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27504,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s344, c_n2) | (~node4(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27503, 27502])).
% 9.51/7.14 tff(27505,plain,
% 9.51/7.14 (~node4(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27504, 388, 27501])).
% 9.51/7.14 tff(27506,plain,
% 9.51/7.14 (succ(s344, s345) <=> succ(s344, s345)),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27507,axiom,(succ(s344, s345)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound345')).
% 9.51/7.14 tff(27508,plain,
% 9.51/7.14 (succ(s344, s345)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27507, 27506])).
% 9.51/7.14 tff(27509,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27510,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27511,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 9.51/7.14 tff(27512,plain,
% 9.51/7.14 (trans(s344, s345)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27511, 27508, 32])).
% 9.51/7.14 tff(27513,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s344, s345)) | node7(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s344, s345)) | node7(s344, s345))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27514,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s344, s345)) | node7(s344, s345))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27515,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s344, s345)) | node7(s344, s345)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 9.51/7.14 tff(27516,plain,
% 9.51/7.14 (node7(s344, s345)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27515, 206, 27512])).
% 9.51/7.14 tff(27517,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27518,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27519,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345) | (~node7(s344, s345))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27518, 27517])).
% 9.51/7.14 tff(27520,plain,
% 9.51/7.14 (m_main_v_state1(s344, c_c1) | node1(s344) | node2(s344) | node3(s344) | node4(s344) | node5(s344) | node6(s344, s345)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27519, 820, 27516])).
% 9.51/7.14 tff(27521,plain,
% 9.51/7.14 (node6(s344, s345)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27520, 27505, 27469, 27465, 27461, 27457, 27440])).
% 9.51/7.14 tff(27522,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27523,plain,
% 9.51/7.14 (((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1)) <=> ((~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27524,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345))))),
% 9.51/7.14 inference(monotonicity,[status(thm)],[27523])).
% 9.51/7.14 tff(27525,plain,
% 9.51/7.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345)))),
% 9.51/7.14 inference(transitivity,[status(thm)],[27524, 27522])).
% 9.51/7.14 tff(27526,plain,
% 9.51/7.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s344, s345)) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27527,plain,
% 9.51/7.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s344, c_t1)) | m_main_v_state1(s345, c_t1) | (~node6(s344, s345))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27526, 27525])).
% 9.51/7.14 tff(27528,plain,
% 9.51/7.14 (m_main_v_state1(s345, c_t1)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27527, 856, 27432, 27521])).
% 9.51/7.14 tff(27529,plain,
% 9.51/7.14 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27530,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27531,plain,
% 9.51/7.14 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s344, c_t2)) | (~m_main_v_state2(s344, c_c2))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27530, 27529])).
% 9.51/7.14 tff(27532,plain,
% 9.51/7.14 (~m_main_v_state2(s344, c_t2)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27531, 260, 27497])).
% 9.51/7.14 tff(27533,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s344, c_t2) | (~node12(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s344, c_t2) | (~node12(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27534,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s344, c_t2) | (~node12(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27535,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s344, c_t2) | (~node12(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 9.51/7.14 tff(27536,plain,
% 9.51/7.14 (~node12(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27535, 633, 27532])).
% 9.51/7.14 tff(27537,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s344, c_n1) | (~node11(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s344, c_n1) | (~node11(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27538,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s344, c_n1) | (~node11(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27539,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s344, c_n1) | (~node11(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27538, 27537])).
% 9.51/7.14 tff(27540,plain,
% 9.51/7.14 (~node11(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27539, 238, 27436])).
% 9.51/7.14 tff(27541,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s344, c_c1) | (~node10(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s344, c_c1) | (~node10(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27542,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s344, c_c1) | (~node10(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27543,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s344, c_c1) | (~node10(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 9.51/7.14 tff(27544,plain,
% 9.51/7.14 (~node10(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27543, 675, 27469])).
% 9.51/7.14 tff(27545,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s344, c_n1) | (~node9(s344)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s344, c_n1) | (~node9(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27546,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s344, c_n1) | (~node9(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27547,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s344, c_n1) | (~node9(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 9.51/7.14 tff(27548,plain,
% 9.51/7.14 (~node9(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27547, 686, 27436])).
% 9.51/7.14 tff(27549,plain,
% 9.51/7.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s344, c_n2) | (~node8(s344)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s344, c_n2) | (~node8(s344)))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27550,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s344, c_n2) | (~node8(s344)))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27551,plain,
% 9.51/7.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s344, c_n2) | (~node8(s344))),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27550, 27549])).
% 9.51/7.14 tff(27552,plain,
% 9.51/7.14 (~node8(s344)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27551, 271, 27501])).
% 9.51/7.14 tff(27553,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s344, s345)) | node14(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s344, s345)) | node14(s344, s345))),
% 9.51/7.14 inference(rewrite,[status(thm)],[])).
% 9.51/7.14 tff(27554,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s344, s345)) | node14(s344, s345))),
% 9.51/7.14 inference(quant_inst,[status(thm)],[])).
% 9.51/7.14 tff(27555,plain,
% 9.51/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s344, s345)) | node14(s344, s345)),
% 9.51/7.14 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 9.51/7.14 tff(27556,plain,
% 9.51/7.14 (node14(s344, s345)),
% 9.51/7.14 inference(unit_resolution,[status(thm)],[27555, 46, 27512])).
% 9.51/7.14 tff(27557,plain,
% 9.51/7.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27558,plain,
% 9.51/7.15 (((~m_main_v_state2(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2)) <=> (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27559,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2))))),
% 9.51/7.15 inference(monotonicity,[status(thm)],[27558])).
% 9.51/7.15 tff(27560,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2)))),
% 9.51/7.15 inference(transitivity,[status(thm)],[27559, 27557])).
% 9.51/7.15 tff(27561,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s344, c_c2)) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | m_main_v_state2(s345, c_n2))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27562,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~node14(s344, s345)) | (~m_main_v_state2(s344, c_c2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27561, 27560])).
% 9.51/7.15 tff(27563,plain,
% 9.51/7.15 (m_main_v_state2(s345, c_n2) | node9(s344) | node8(s344) | node10(s344) | node11(s344) | node12(s344) | (~m_main_v_state2(s344, c_c2))),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27562, 726, 27556])).
% 9.51/7.15 tff(27564,plain,
% 9.51/7.15 (m_main_v_state2(s345, c_n2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27563, 27552, 27497, 27548, 27544, 27540, 27536])).
% 9.51/7.15 tff(27565,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27566,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27567,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_t2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 9.51/7.15 tff(27568,plain,
% 9.51/7.15 (~m_main_v_state2(s345, c_t2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27567, 77, 27564])).
% 9.51/7.15 tff(27569,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s345, c_t2) | (~node15(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s345, c_t2) | (~node15(s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27570,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s345, c_t2) | (~node15(s345)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27571,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s345, c_t2) | (~node15(s345))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 9.51/7.15 tff(27572,plain,
% 9.51/7.15 (~node15(s345)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27571, 103, 27568])).
% 9.51/7.15 tff(27573,plain,
% 9.51/7.15 (succ(s345, s346) <=> succ(s345, s346)),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27574,axiom,(succ(s345, s346)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound346')).
% 9.51/7.15 tff(27575,plain,
% 9.51/7.15 (succ(s345, s346)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 9.51/7.15 tff(27576,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27577,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27578,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27577, 27576])).
% 9.51/7.15 tff(27579,plain,
% 9.51/7.15 (trans(s345, s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27578, 27575, 32])).
% 9.51/7.15 tff(27580,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s345, s346)) | node18(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s345, s346)) | node18(s345, s346))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27581,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s345, s346)) | node18(s345, s346))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27582,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s345, s346)) | node18(s345, s346)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27581, 27580])).
% 9.51/7.15 tff(27583,plain,
% 9.51/7.15 (node18(s345, s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27582, 125, 27579])).
% 9.51/7.15 tff(27584,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27585,plain,
% 9.51/7.15 (((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1)) <=> (node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27586,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)))),
% 9.51/7.15 inference(monotonicity,[status(thm)],[27585])).
% 9.51/7.15 tff(27587,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1))),
% 9.51/7.15 inference(transitivity,[status(thm)],[27586, 27584])).
% 9.51/7.15 tff(27588,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node15(s345) | (~node18(s345, s346)) | m_main_v_turn(s346, c_1))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27589,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s345) | (~node18(s345, s346)) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 9.51/7.15 tff(27590,plain,
% 9.51/7.15 (node15(s345) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_turn(s346, c_1)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27589, 992, 27583])).
% 9.51/7.15 tff(27591,plain,
% 9.51/7.15 (m_main_v_turn(s346, c_1)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27590, 27572, 27564, 27528])).
% 9.51/7.15 tff(27592,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27593,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27594,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s346, c_1)) | (~m_main_v_turn(s346, c_2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27593, 27592])).
% 9.51/7.15 tff(27595,plain,
% 9.51/7.15 (~m_main_v_turn(s346, c_2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27594, 156, 27591])).
% 9.51/7.15 tff(27596,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s346, c_2) | (~node12(s346)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s346, c_2) | (~node12(s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27597,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s346, c_2) | (~node12(s346)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27598,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s346, c_2) | (~node12(s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 9.51/7.15 tff(27599,plain,
% 9.51/7.15 (~node12(s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27598, 184, 27595])).
% 9.51/7.15 tff(27600,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s345, s346)) | node14(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s345, s346)) | node14(s345, s346))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27601,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s345, s346)) | node14(s345, s346))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27602,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s345, s346)) | node14(s345, s346)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 9.51/7.15 tff(27603,plain,
% 9.51/7.15 (node14(s345, s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27602, 46, 27579])).
% 9.51/7.15 tff(27604,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27605,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27606,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | (~node14(s345, s346)) | m_main_v_state2(s346, c_t2)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 9.51/7.15 tff(27607,plain,
% 9.51/7.15 ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state2(s346, c_t2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27606, 922, 27603])).
% 9.51/7.15 tff(27608,plain,
% 9.51/7.15 (m_main_v_state2(s346, c_t2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27607, 27528, 27564])).
% 9.51/7.15 tff(27609,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27610,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27611,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s346, c_n2)) | (~m_main_v_state2(s346, c_t2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 9.51/7.15 tff(27612,plain,
% 9.51/7.15 (~m_main_v_state2(s346, c_n2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27611, 77, 27608])).
% 9.51/7.15 tff(27613,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s346, c_n2) | (~node8(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s346, c_n2) | (~node8(s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27614,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s346, c_n2) | (~node8(s346)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27615,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s346, c_n2) | (~node8(s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 9.51/7.15 tff(27616,plain,
% 9.51/7.15 (~node8(s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27615, 271, 27612])).
% 9.51/7.15 tff(27617,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s346, c_n2) | (~node9(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s346, c_n2) | (~node9(s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27618,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s346, c_n2) | (~node9(s346)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27619,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s346, c_n2) | (~node9(s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 9.51/7.15 tff(27620,plain,
% 9.51/7.15 (~node9(s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27619, 88, 27612])).
% 9.51/7.15 tff(27621,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s346, c_n2) | (~node10(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s346, c_n2) | (~node10(s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27622,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s346, c_n2) | (~node10(s346)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27623,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s346, c_n2) | (~node10(s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27622, 27621])).
% 9.51/7.15 tff(27624,plain,
% 9.51/7.15 (~node10(s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27623, 249, 27612])).
% 9.51/7.15 tff(27625,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27626,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27627,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s346, c_t2)) | (~m_main_v_state2(s346, c_c2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27626, 27625])).
% 9.51/7.15 tff(27628,plain,
% 9.51/7.15 (~m_main_v_state2(s346, c_c2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27627, 260, 27608])).
% 9.51/7.15 tff(27629,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27630,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27631,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s345, c_n2)) | (~m_main_v_state2(s345, c_c2))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27630, 27629])).
% 9.51/7.15 tff(27632,plain,
% 9.51/7.15 (~m_main_v_state2(s345, c_c2)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27631, 697, 27564])).
% 9.51/7.15 tff(27633,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s345, c_c2) | (~node3(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s345, c_c2) | (~node3(s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27634,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s345, c_c2) | (~node3(s345)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27635,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s345, c_c2) | (~node3(s345))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27634, 27633])).
% 9.51/7.15 tff(27636,plain,
% 9.51/7.15 (~node3(s345)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27635, 399, 27632])).
% 9.51/7.15 tff(27637,plain,
% 9.51/7.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27638,plain,
% 9.51/7.15 (((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1))) <=> (m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27639,plain,
% 9.51/7.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345))))),
% 9.51/7.15 inference(monotonicity,[status(thm)],[27638])).
% 9.51/7.15 tff(27640,plain,
% 9.51/7.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345)))),
% 9.51/7.15 inference(transitivity,[status(thm)],[27639, 27637])).
% 9.51/7.15 tff(27641,plain,
% 9.51/7.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s344, s345)) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27642,plain,
% 9.51/7.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s344, c_n1) | (~m_main_v_state1(s345, c_n1)) | (~node6(s344, s345))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 9.51/7.15 tff(27643,plain,
% 9.51/7.15 (~m_main_v_state1(s345, c_n1)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27642, 835, 27436, 27521])).
% 9.51/7.15 tff(27644,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s345, c_n1) | (~node2(s345)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s345, c_n1) | (~node2(s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27645,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s345, c_n1) | (~node2(s345)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27646,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s345, c_n1) | (~node2(s345))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 9.51/7.15 tff(27647,plain,
% 9.51/7.15 (~node2(s345)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27646, 787, 27643])).
% 9.51/7.15 tff(27648,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s345, c_t2) | (~node1(s345)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s345, c_t2) | (~node1(s345)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27649,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s345, c_t2) | (~node1(s345)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27650,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s345, c_t2) | (~node1(s345))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 9.51/7.15 tff(27651,plain,
% 9.51/7.15 (~node1(s345)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27650, 195, 27568])).
% 9.51/7.15 tff(27652,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s345, s346)) | node7(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s345, s346)) | node7(s345, s346))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27653,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s345, s346)) | node7(s345, s346))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27654,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s345, s346)) | node7(s345, s346)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 9.51/7.15 tff(27655,plain,
% 9.51/7.15 (node7(s345, s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27654, 206, 27579])).
% 9.51/7.15 tff(27656,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27657,plain,
% 9.51/7.15 (((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1)) <=> ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27658,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346))))),
% 9.51/7.15 inference(monotonicity,[status(thm)],[27657])).
% 9.51/7.15 tff(27659,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)))),
% 9.51/7.15 inference(transitivity,[status(thm)],[27658, 27656])).
% 9.51/7.15 tff(27660,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346)) | m_main_v_state1(s346, c_c1))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27661,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345) | (~node7(s345, s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27660, 27659])).
% 9.51/7.15 tff(27662,plain,
% 9.51/7.15 ((~m_main_v_state1(s345, c_t1)) | (~m_main_v_state2(s345, c_n2)) | m_main_v_state1(s346, c_c1) | node1(s345) | node2(s345) | node3(s345)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27661, 892, 27655])).
% 9.51/7.15 tff(27663,plain,
% 9.51/7.15 (m_main_v_state1(s346, c_c1)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27662, 27651, 27564, 27528, 27647, 27636])).
% 9.51/7.15 tff(27664,plain,
% 9.51/7.15 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27665,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27666,plain,
% 9.51/7.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_n1)) | (~m_main_v_state1(s346, c_c1))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 9.51/7.15 tff(27667,plain,
% 9.51/7.15 (~m_main_v_state1(s346, c_n1)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27666, 454, 27663])).
% 9.51/7.15 tff(27668,plain,
% 9.51/7.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s346, c_n1) | (~node11(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s346, c_n1) | (~node11(s346)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27669,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s346, c_n1) | (~node11(s346)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27670,plain,
% 9.51/7.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s346, c_n1) | (~node11(s346))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 9.51/7.15 tff(27671,plain,
% 9.51/7.15 (~node11(s346)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27670, 238, 27667])).
% 9.51/7.15 tff(27672,plain,
% 9.51/7.15 (succ(s346, s347) <=> succ(s346, s347)),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27673,axiom,(succ(s346, s347)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound347')).
% 9.51/7.15 tff(27674,plain,
% 9.51/7.15 (succ(s346, s347)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 9.51/7.15 tff(27675,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27676,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27677,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 9.51/7.15 tff(27678,plain,
% 9.51/7.15 (trans(s346, s347)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27677, 27674, 32])).
% 9.51/7.15 tff(27679,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s346, s347)) | node14(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s346, s347)) | node14(s346, s347))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27680,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s346, s347)) | node14(s346, s347))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27681,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s346, s347)) | node14(s346, s347)),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 9.51/7.15 tff(27682,plain,
% 9.51/7.15 (node14(s346, s347)),
% 9.51/7.15 inference(unit_resolution,[status(thm)],[27681, 46, 27678])).
% 9.51/7.15 tff(27683,plain,
% 9.51/7.15 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))),
% 9.51/7.15 inference(rewrite,[status(thm)],[])).
% 9.51/7.15 tff(27684,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347)))),
% 9.51/7.15 inference(quant_inst,[status(thm)],[])).
% 9.51/7.15 tff(27685,plain,
% 9.51/7.15 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347) | (~node14(s346, s347))),
% 9.51/7.15 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 9.51/7.15 tff(27686,plain,
% 9.51/7.16 (m_main_v_state2(s346, c_c2) | node9(s346) | node8(s346) | node10(s346) | node11(s346) | node12(s346) | node13(s346, s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27685, 296, 27682])).
% 9.51/7.16 tff(27687,plain,
% 9.51/7.16 (node13(s346, s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27686, 27671, 27628, 27624, 27620, 27616, 27599])).
% 9.51/7.16 tff(27688,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27689,plain,
% 9.51/7.16 (((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2))) <=> (m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27690,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347))))),
% 9.51/7.16 inference(monotonicity,[status(thm)],[27689])).
% 9.51/7.16 tff(27691,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347)))),
% 9.51/7.16 inference(transitivity,[status(thm)],[27690, 27688])).
% 9.51/7.16 tff(27692,plain,
% 9.51/7.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s346, s347)) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27693,plain,
% 9.51/7.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s346, c_n2) | (~m_main_v_state2(s347, c_n2)) | (~node13(s346, s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27692, 27691])).
% 9.51/7.16 tff(27694,plain,
% 9.51/7.16 (~m_main_v_state2(s347, c_n2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27693, 311, 27612, 27687])).
% 9.51/7.16 tff(27695,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s347, c_n2) | (~node9(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s347, c_n2) | (~node9(s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27696,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s347, c_n2) | (~node9(s347)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27697,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s347, c_n2) | (~node9(s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 9.51/7.16 tff(27698,plain,
% 9.51/7.16 (~node9(s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27697, 88, 27694])).
% 9.51/7.16 tff(27699,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s347, c_n2) | (~node10(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s347, c_n2) | (~node10(s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27700,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s347, c_n2) | (~node10(s347)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27701,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s347, c_n2) | (~node10(s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 9.51/7.16 tff(27702,plain,
% 9.51/7.16 (~node10(s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27701, 249, 27694])).
% 9.51/7.16 tff(27703,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27704,plain,
% 9.51/7.16 (((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2)) <=> ((~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27705,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347))))),
% 9.51/7.16 inference(monotonicity,[status(thm)],[27704])).
% 9.51/7.16 tff(27706,plain,
% 9.51/7.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347)))),
% 9.51/7.16 inference(transitivity,[status(thm)],[27705, 27703])).
% 9.51/7.16 tff(27707,plain,
% 9.51/7.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s346, s347)) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27708,plain,
% 9.51/7.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s346, c_t2)) | m_main_v_state2(s347, c_t2) | (~node13(s346, s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27707, 27706])).
% 9.51/7.16 tff(27709,plain,
% 9.51/7.16 (m_main_v_state2(s347, c_t2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27708, 518, 27608, 27687])).
% 9.51/7.16 tff(27710,plain,
% 9.51/7.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27711,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27712,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s346, c_t1)) | (~m_main_v_state1(s346, c_c1))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 9.51/7.16 tff(27713,plain,
% 9.51/7.16 (~m_main_v_state1(s346, c_t1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27712, 539, 27663])).
% 9.51/7.16 tff(27714,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s346, c_t1) | (~node5(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s346, c_t1) | (~node5(s346)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27715,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s346, c_t1) | (~node5(s346)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27716,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s346, c_t1) | (~node5(s346))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 9.51/7.16 tff(27717,plain,
% 9.51/7.16 (~node5(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27716, 550, 27713])).
% 9.51/7.16 tff(27718,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s346, c_n2) | (~node4(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s346, c_n2) | (~node4(s346)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27719,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s346, c_n2) | (~node4(s346)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27720,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s346, c_n2) | (~node4(s346))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27719, 27718])).
% 9.51/7.16 tff(27721,plain,
% 9.51/7.16 (~node4(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27720, 388, 27612])).
% 9.51/7.16 tff(27722,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s346, c_c2) | (~node3(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s346, c_c2) | (~node3(s346)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27723,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s346, c_c2) | (~node3(s346)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27724,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s346, c_c2) | (~node3(s346))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27723, 27722])).
% 9.51/7.16 tff(27725,plain,
% 9.51/7.16 (~node3(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27724, 399, 27628])).
% 9.51/7.16 tff(27726,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s346, c_n2) | (~node2(s346)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s346, c_n2) | (~node2(s346)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27727,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s346, c_n2) | (~node2(s346)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27728,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s346, c_n2) | (~node2(s346))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 9.51/7.16 tff(27729,plain,
% 9.51/7.16 (~node2(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27728, 410, 27612])).
% 9.51/7.16 tff(27730,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s346, c_n1) | (~node1(s346)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s346, c_n1) | (~node1(s346)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27731,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s346, c_n1) | (~node1(s346)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27732,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s346, c_n1) | (~node1(s346))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 9.51/7.16 tff(27733,plain,
% 9.51/7.16 (~node1(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27732, 421, 27667])).
% 9.51/7.16 tff(27734,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s346, s347)) | node7(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s346, s347)) | node7(s346, s347))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27735,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s346, s347)) | node7(s346, s347))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27736,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s346, s347)) | node7(s346, s347)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27735, 27734])).
% 9.51/7.16 tff(27737,plain,
% 9.51/7.16 (node7(s346, s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27736, 206, 27678])).
% 9.51/7.16 tff(27738,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27739,plain,
% 9.51/7.16 (((~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1)) <=> (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27740,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347))))),
% 9.51/7.16 inference(monotonicity,[status(thm)],[27739])).
% 9.51/7.16 tff(27741,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)))),
% 9.51/7.16 inference(transitivity,[status(thm)],[27740, 27738])).
% 9.51/7.16 tff(27742,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347)) | m_main_v_state1(s347, c_n1))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27743,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346) | (~node7(s346, s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 9.51/7.16 tff(27744,plain,
% 9.51/7.16 (m_main_v_state1(s347, c_n1) | (~m_main_v_state1(s346, c_c1)) | node1(s346) | node2(s346) | node3(s346) | node4(s346) | node5(s346)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27743, 584, 27737])).
% 9.51/7.16 tff(27745,plain,
% 9.51/7.16 (m_main_v_state1(s347, c_n1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27744, 27733, 27663, 27729, 27725, 27721, 27717])).
% 9.51/7.16 tff(27746,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s347, c_n2) | (~node8(s347)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s347, c_n2) | (~node8(s347)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27747,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s347, c_n2) | (~node8(s347)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27748,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s347, c_n2) | (~node8(s347))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 9.51/7.16 tff(27749,plain,
% 9.51/7.16 (~node8(s347)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27748, 271, 27694])).
% 9.51/7.16 tff(27750,plain,
% 9.51/7.16 (succ(s347, s348) <=> succ(s347, s348)),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27751,axiom,(succ(s347, s348)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound348')).
% 9.51/7.16 tff(27752,plain,
% 9.51/7.16 (succ(s347, s348)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 9.51/7.16 tff(27753,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27754,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27755,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27754, 27753])).
% 9.51/7.16 tff(27756,plain,
% 9.51/7.16 (trans(s347, s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27755, 27752, 32])).
% 9.51/7.16 tff(27757,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s347, s348)) | node14(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s347, s348)) | node14(s347, s348))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27758,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s347, s348)) | node14(s347, s348))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27759,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s347, s348)) | node14(s347, s348)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 9.51/7.16 tff(27760,plain,
% 9.51/7.16 (node14(s347, s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27759, 46, 27756])).
% 9.51/7.16 tff(27761,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27762,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27763,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | (~node14(s347, s348)) | m_main_v_state2(s348, c_c2)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 9.51/7.16 tff(27764,plain,
% 9.51/7.16 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | node9(s347) | node8(s347) | node10(s347) | m_main_v_state2(s348, c_c2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27763, 617, 27760])).
% 9.51/7.16 tff(27765,plain,
% 9.51/7.16 (m_main_v_state2(s348, c_c2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27764, 27749, 27745, 27709, 27702, 27698])).
% 9.51/7.16 tff(27766,plain,
% 9.51/7.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27767,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27768,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_t2)) | (~m_main_v_state2(s348, c_c2))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27767, 27766])).
% 9.51/7.16 tff(27769,plain,
% 9.51/7.16 (~m_main_v_state2(s348, c_t2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27768, 260, 27765])).
% 9.51/7.16 tff(27770,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s348, c_t2) | (~node12(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s348, c_t2) | (~node12(s348)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27771,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s348, c_t2) | (~node12(s348)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27772,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s348, c_t2) | (~node12(s348))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27771, 27770])).
% 9.51/7.16 tff(27773,plain,
% 9.51/7.16 (~node12(s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27772, 633, 27769])).
% 9.51/7.16 tff(27774,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s347, s348)) | node7(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s347, s348)) | node7(s347, s348))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27775,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s347, s348)) | node7(s347, s348))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27776,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s347, s348)) | node7(s347, s348)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27775, 27774])).
% 9.51/7.16 tff(27777,plain,
% 9.51/7.16 (node7(s347, s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27776, 206, 27756])).
% 9.51/7.16 tff(27778,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27779,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27780,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node7(s347, s348)) | m_main_v_state1(s348, c_t1)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27779, 27778])).
% 9.51/7.16 tff(27781,plain,
% 9.51/7.16 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | m_main_v_state1(s348, c_t1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27780, 651, 27777])).
% 9.51/7.16 tff(27782,plain,
% 9.51/7.16 (m_main_v_state1(s348, c_t1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27781, 27709, 27745])).
% 9.51/7.16 tff(27783,plain,
% 9.51/7.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27784,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27785,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s348, c_n1)) | (~m_main_v_state1(s348, c_t1))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 9.51/7.16 tff(27786,plain,
% 9.51/7.16 (~m_main_v_state1(s348, c_n1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27785, 10, 27782])).
% 9.51/7.16 tff(27787,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s348, c_n1) | (~node11(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s348, c_n1) | (~node11(s348)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27788,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s348, c_n1) | (~node11(s348)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27789,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s348, c_n1) | (~node11(s348))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 9.51/7.16 tff(27790,plain,
% 9.51/7.16 (~node11(s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27789, 238, 27786])).
% 9.51/7.16 tff(27791,plain,
% 9.51/7.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27792,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27793,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s348, c_t1)) | (~m_main_v_state1(s348, c_c1))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 9.51/7.16 tff(27794,plain,
% 9.51/7.16 (~m_main_v_state1(s348, c_c1)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27793, 539, 27782])).
% 9.51/7.16 tff(27795,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s348, c_c1) | (~node10(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s348, c_c1) | (~node10(s348)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27796,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s348, c_c1) | (~node10(s348)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27797,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s348, c_c1) | (~node10(s348))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 9.51/7.16 tff(27798,plain,
% 9.51/7.16 (~node10(s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27797, 675, 27794])).
% 9.51/7.16 tff(27799,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s348, c_n1) | (~node9(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s348, c_n1) | (~node9(s348)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27800,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s348, c_n1) | (~node9(s348)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27801,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s348, c_n1) | (~node9(s348))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 9.51/7.16 tff(27802,plain,
% 9.51/7.16 (~node9(s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27801, 686, 27786])).
% 9.51/7.16 tff(27803,plain,
% 9.51/7.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27804,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27805,plain,
% 9.51/7.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s348, c_n2)) | (~m_main_v_state2(s348, c_c2))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 9.51/7.16 tff(27806,plain,
% 9.51/7.16 (~m_main_v_state2(s348, c_n2)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27805, 697, 27765])).
% 9.51/7.16 tff(27807,plain,
% 9.51/7.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s348, c_n2) | (~node8(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s348, c_n2) | (~node8(s348)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27808,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s348, c_n2) | (~node8(s348)))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27809,plain,
% 9.51/7.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s348, c_n2) | (~node8(s348))),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 9.51/7.16 tff(27810,plain,
% 9.51/7.16 (~node8(s348)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27809, 271, 27806])).
% 9.51/7.16 tff(27811,plain,
% 9.51/7.16 (succ(s348, s349) <=> succ(s348, s349)),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27812,axiom,(succ(s348, s349)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound349')).
% 9.51/7.16 tff(27813,plain,
% 9.51/7.16 (succ(s348, s349)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 9.51/7.16 tff(27814,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27815,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27816,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 9.51/7.16 tff(27817,plain,
% 9.51/7.16 (trans(s348, s349)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27816, 27813, 32])).
% 9.51/7.16 tff(27818,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s348, s349)) | node14(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s348, s349)) | node14(s348, s349))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27819,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s348, s349)) | node14(s348, s349))),
% 9.51/7.16 inference(quant_inst,[status(thm)],[])).
% 9.51/7.16 tff(27820,plain,
% 9.51/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s348, s349)) | node14(s348, s349)),
% 9.51/7.16 inference(modus_ponens,[status(thm)],[27819, 27818])).
% 9.51/7.16 tff(27821,plain,
% 9.51/7.16 (node14(s348, s349)),
% 9.51/7.16 inference(unit_resolution,[status(thm)],[27820, 46, 27817])).
% 9.51/7.16 tff(27822,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27823,plain,
% 9.51/7.16 (((~m_main_v_state2(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2)) <=> (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.16 inference(rewrite,[status(thm)],[])).
% 9.51/7.16 tff(27824,plain,
% 9.51/7.16 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2))))),
% 9.51/7.17 inference(monotonicity,[status(thm)],[27823])).
% 9.51/7.17 tff(27825,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2)))),
% 9.51/7.17 inference(transitivity,[status(thm)],[27824, 27822])).
% 9.51/7.17 tff(27826,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s348, c_c2)) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | m_main_v_state2(s349, c_n2))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27827,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~node14(s348, s349)) | (~m_main_v_state2(s348, c_c2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27826, 27825])).
% 9.51/7.17 tff(27828,plain,
% 9.51/7.17 (m_main_v_state2(s349, c_n2) | node9(s348) | node8(s348) | node10(s348) | node11(s348) | node12(s348) | (~m_main_v_state2(s348, c_c2))),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27827, 726, 27821])).
% 9.51/7.17 tff(27829,plain,
% 9.51/7.17 (m_main_v_state2(s349, c_n2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27828, 27810, 27765, 27802, 27798, 27790, 27773])).
% 9.51/7.17 tff(27830,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27831,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27832,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_c2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27831, 27830])).
% 9.51/7.17 tff(27833,plain,
% 9.51/7.17 (~m_main_v_state2(s349, c_c2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27832, 697, 27829])).
% 9.51/7.17 tff(27834,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s349, c_c2) | (~node3(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s349, c_c2) | (~node3(s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27835,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s349, c_c2) | (~node3(s349)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27836,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s349, c_c2) | (~node3(s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27835, 27834])).
% 9.51/7.17 tff(27837,plain,
% 9.51/7.17 (~node3(s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27836, 399, 27833])).
% 9.51/7.17 tff(27838,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s348, c_n1) | (~node1(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s348, c_n1) | (~node1(s348)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27839,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s348, c_n1) | (~node1(s348)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27840,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s348, c_n1) | (~node1(s348))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27839, 27838])).
% 9.51/7.17 tff(27841,plain,
% 9.51/7.17 (~node1(s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27840, 421, 27786])).
% 9.51/7.17 tff(27842,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s347, s348)) | node18(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s347, s348)) | node18(s347, s348))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27843,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s347, s348)) | node18(s347, s348))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27844,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s347, s348)) | node18(s347, s348)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27843, 27842])).
% 9.51/7.17 tff(27845,plain,
% 9.51/7.17 (node18(s347, s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27844, 125, 27756])).
% 9.51/7.17 tff(27846,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27847,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27848,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | (~node18(s347, s348)) | m_main_v_turn(s348, c_2)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 9.51/7.17 tff(27849,plain,
% 9.51/7.17 ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state2(s347, c_t2)) | m_main_v_turn(s348, c_2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27848, 760, 27845])).
% 9.51/7.17 tff(27850,plain,
% 9.51/7.17 (m_main_v_turn(s348, c_2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27849, 27709, 27745])).
% 9.51/7.17 tff(27851,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27852,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27853,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s348, c_1)) | (~m_main_v_turn(s348, c_2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 9.51/7.17 tff(27854,plain,
% 9.51/7.17 (~m_main_v_turn(s348, c_1)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27853, 156, 27850])).
% 9.51/7.17 tff(27855,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s348, c_1) | (~node5(s348)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s348, c_1) | (~node5(s348)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27856,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s348, c_1) | (~node5(s348)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27857,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s348, c_1) | (~node5(s348))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27856, 27855])).
% 9.51/7.17 tff(27858,plain,
% 9.51/7.17 (~node5(s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27857, 776, 27854])).
% 9.51/7.17 tff(27859,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s348, c_n1) | (~node2(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s348, c_n1) | (~node2(s348)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27860,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s348, c_n1) | (~node2(s348)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27861,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s348, c_n1) | (~node2(s348))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27860, 27859])).
% 9.51/7.17 tff(27862,plain,
% 9.51/7.17 (~node2(s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27861, 787, 27786])).
% 9.51/7.17 tff(27863,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s348, c_n1) | (~node3(s348)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s348, c_n1) | (~node3(s348)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27864,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s348, c_n1) | (~node3(s348)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27865,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s348, c_n1) | (~node3(s348))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27864, 27863])).
% 9.51/7.17 tff(27866,plain,
% 9.51/7.17 (~node3(s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27865, 798, 27786])).
% 9.51/7.17 tff(27867,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s348, c_n2) | (~node4(s348)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s348, c_n2) | (~node4(s348)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27868,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s348, c_n2) | (~node4(s348)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27869,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s348, c_n2) | (~node4(s348))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 9.51/7.17 tff(27870,plain,
% 9.51/7.17 (~node4(s348)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27869, 388, 27806])).
% 9.51/7.17 tff(27871,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s348, s349)) | node7(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s348, s349)) | node7(s348, s349))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27872,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s348, s349)) | node7(s348, s349))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27873,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s348, s349)) | node7(s348, s349)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27872, 27871])).
% 9.51/7.17 tff(27874,plain,
% 9.51/7.17 (node7(s348, s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27873, 206, 27817])).
% 9.51/7.17 tff(27875,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27876,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27877,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349) | (~node7(s348, s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 9.51/7.17 tff(27878,plain,
% 9.51/7.17 (m_main_v_state1(s348, c_c1) | node1(s348) | node2(s348) | node3(s348) | node4(s348) | node5(s348) | node6(s348, s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27877, 820, 27874])).
% 9.51/7.17 tff(27879,plain,
% 9.51/7.17 (node6(s348, s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27878, 27870, 27794, 27866, 27862, 27858, 27841])).
% 9.51/7.17 tff(27880,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27881,plain,
% 9.51/7.17 (((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1))) <=> (m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27882,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349))))),
% 9.51/7.17 inference(monotonicity,[status(thm)],[27881])).
% 9.51/7.17 tff(27883,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349)))),
% 9.51/7.17 inference(transitivity,[status(thm)],[27882, 27880])).
% 9.51/7.17 tff(27884,plain,
% 9.51/7.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s348, s349)) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27885,plain,
% 9.51/7.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s348, c_n1) | (~m_main_v_state1(s349, c_n1)) | (~node6(s348, s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27884, 27883])).
% 9.51/7.17 tff(27886,plain,
% 9.51/7.17 (~m_main_v_state1(s349, c_n1)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27885, 835, 27786, 27879])).
% 9.51/7.17 tff(27887,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s349, c_n1) | (~node2(s349)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s349, c_n1) | (~node2(s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27888,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s349, c_n1) | (~node2(s349)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27889,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s349, c_n1) | (~node2(s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 9.51/7.17 tff(27890,plain,
% 9.51/7.17 (~node2(s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27889, 787, 27886])).
% 9.51/7.17 tff(27891,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27892,plain,
% 9.51/7.17 (((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1)) <=> ((~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27893,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349))))),
% 9.51/7.17 inference(monotonicity,[status(thm)],[27892])).
% 9.51/7.17 tff(27894,plain,
% 9.51/7.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349)))),
% 9.51/7.17 inference(transitivity,[status(thm)],[27893, 27891])).
% 9.51/7.17 tff(27895,plain,
% 9.51/7.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s348, s349)) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27896,plain,
% 9.51/7.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s348, c_t1)) | m_main_v_state1(s349, c_t1) | (~node6(s348, s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 9.51/7.17 tff(27897,plain,
% 9.51/7.17 (m_main_v_state1(s349, c_t1)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27896, 856, 27782, 27879])).
% 9.51/7.17 tff(27898,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27899,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27900,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s349, c_n2)) | (~m_main_v_state2(s349, c_t2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27899, 27898])).
% 9.51/7.17 tff(27901,plain,
% 9.51/7.17 (~m_main_v_state2(s349, c_t2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27900, 77, 27829])).
% 9.51/7.17 tff(27902,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s349, c_t2) | (~node1(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s349, c_t2) | (~node1(s349)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27903,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s349, c_t2) | (~node1(s349)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27904,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s349, c_t2) | (~node1(s349))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 9.51/7.17 tff(27905,plain,
% 9.51/7.17 (~node1(s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27904, 195, 27901])).
% 9.51/7.17 tff(27906,plain,
% 9.51/7.17 (succ(s349, s350) <=> succ(s349, s350)),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27907,axiom,(succ(s349, s350)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound350')).
% 9.51/7.17 tff(27908,plain,
% 9.51/7.17 (succ(s349, s350)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27907, 27906])).
% 9.51/7.17 tff(27909,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27910,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27911,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 9.51/7.17 tff(27912,plain,
% 9.51/7.17 (trans(s349, s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27911, 27908, 32])).
% 9.51/7.17 tff(27913,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s349, s350)) | node7(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s349, s350)) | node7(s349, s350))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27914,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s349, s350)) | node7(s349, s350))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27915,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s349, s350)) | node7(s349, s350)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 9.51/7.17 tff(27916,plain,
% 9.51/7.17 (node7(s349, s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27915, 206, 27912])).
% 9.51/7.17 tff(27917,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27918,plain,
% 9.51/7.17 (((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1)) <=> ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27919,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350))))),
% 9.51/7.17 inference(monotonicity,[status(thm)],[27918])).
% 9.51/7.17 tff(27920,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)))),
% 9.51/7.17 inference(transitivity,[status(thm)],[27919, 27917])).
% 9.51/7.17 tff(27921,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350)) | m_main_v_state1(s350, c_c1))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27922,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349) | (~node7(s349, s350))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 9.51/7.17 tff(27923,plain,
% 9.51/7.17 ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state1(s350, c_c1) | node1(s349) | node2(s349) | node3(s349)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27922, 892, 27916])).
% 9.51/7.17 tff(27924,plain,
% 9.51/7.17 (m_main_v_state1(s350, c_c1)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27923, 27905, 27829, 27897, 27890, 27837])).
% 9.51/7.17 tff(27925,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27926,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27927,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_t1)) | (~m_main_v_state1(s350, c_c1))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 9.51/7.17 tff(27928,plain,
% 9.51/7.17 (~m_main_v_state1(s350, c_t1)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27927, 539, 27924])).
% 9.51/7.17 tff(27929,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s350, c_t1) | (~node5(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s350, c_t1) | (~node5(s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27930,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s350, c_t1) | (~node5(s350)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27931,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s350, c_t1) | (~node5(s350))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27930, 27929])).
% 9.51/7.17 tff(27932,plain,
% 9.51/7.17 (~node5(s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27931, 550, 27928])).
% 9.51/7.17 tff(27933,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s349, s350)) | node14(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s349, s350)) | node14(s349, s350))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27934,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s349, s350)) | node14(s349, s350))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27935,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s349, s350)) | node14(s349, s350)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27934, 27933])).
% 9.51/7.17 tff(27936,plain,
% 9.51/7.17 (node14(s349, s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27935, 46, 27912])).
% 9.51/7.17 tff(27937,plain,
% 9.51/7.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27938,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27939,plain,
% 9.51/7.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | (~node14(s349, s350)) | m_main_v_state2(s350, c_t2)),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27938, 27937])).
% 9.51/7.17 tff(27940,plain,
% 9.51/7.17 ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_state2(s350, c_t2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27939, 922, 27936])).
% 9.51/7.17 tff(27941,plain,
% 9.51/7.17 (m_main_v_state2(s350, c_t2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27940, 27897, 27829])).
% 9.51/7.17 tff(27942,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27943,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27944,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s350, c_n2)) | (~m_main_v_state2(s350, c_t2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27943, 27942])).
% 9.51/7.17 tff(27945,plain,
% 9.51/7.17 (~m_main_v_state2(s350, c_n2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27944, 77, 27941])).
% 9.51/7.17 tff(27946,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s350, c_n2) | (~node4(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s350, c_n2) | (~node4(s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27947,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s350, c_n2) | (~node4(s350)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27948,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s350, c_n2) | (~node4(s350))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 9.51/7.17 tff(27949,plain,
% 9.51/7.17 (~node4(s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27948, 388, 27945])).
% 9.51/7.17 tff(27950,plain,
% 9.51/7.17 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27951,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27952,plain,
% 9.51/7.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s350, c_t2)) | (~m_main_v_state2(s350, c_c2))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 9.51/7.17 tff(27953,plain,
% 9.51/7.17 (~m_main_v_state2(s350, c_c2)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27952, 260, 27941])).
% 9.51/7.17 tff(27954,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s350, c_c2) | (~node3(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s350, c_c2) | (~node3(s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27955,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s350, c_c2) | (~node3(s350)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27956,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s350, c_c2) | (~node3(s350))),
% 9.51/7.17 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 9.51/7.17 tff(27957,plain,
% 9.51/7.17 (~node3(s350)),
% 9.51/7.17 inference(unit_resolution,[status(thm)],[27956, 399, 27953])).
% 9.51/7.17 tff(27958,plain,
% 9.51/7.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s350, c_n2) | (~node2(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s350, c_n2) | (~node2(s350)))),
% 9.51/7.17 inference(rewrite,[status(thm)],[])).
% 9.51/7.17 tff(27959,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s350, c_n2) | (~node2(s350)))),
% 9.51/7.17 inference(quant_inst,[status(thm)],[])).
% 9.51/7.17 tff(27960,plain,
% 9.51/7.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s350, c_n2) | (~node2(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 9.51/7.18 tff(27961,plain,
% 9.51/7.18 (~node2(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27960, 410, 27945])).
% 9.51/7.18 tff(27962,plain,
% 9.51/7.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27963,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27964,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s350, c_n1)) | (~m_main_v_state1(s350, c_c1))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27963, 27962])).
% 9.51/7.18 tff(27965,plain,
% 9.51/7.18 (~m_main_v_state1(s350, c_n1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27964, 454, 27924])).
% 9.51/7.18 tff(27966,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s350, c_n1) | (~node1(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s350, c_n1) | (~node1(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27967,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s350, c_n1) | (~node1(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27968,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s350, c_n1) | (~node1(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27967, 27966])).
% 9.51/7.18 tff(27969,plain,
% 9.51/7.18 (~node1(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27968, 421, 27965])).
% 9.51/7.18 tff(27970,plain,
% 9.51/7.18 (succ(s350, s351) <=> succ(s350, s351)),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27971,axiom,(succ(s350, s351)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound351')).
% 9.51/7.18 tff(27972,plain,
% 9.51/7.18 (succ(s350, s351)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27971, 27970])).
% 9.51/7.18 tff(27973,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27974,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27975,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27974, 27973])).
% 9.51/7.18 tff(27976,plain,
% 9.51/7.18 (trans(s350, s351)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27975, 27972, 32])).
% 9.51/7.18 tff(27977,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s350, s351)) | node7(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s350, s351)) | node7(s350, s351))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27978,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s350, s351)) | node7(s350, s351))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27979,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s350, s351)) | node7(s350, s351)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27978, 27977])).
% 9.51/7.18 tff(27980,plain,
% 9.51/7.18 (node7(s350, s351)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27979, 206, 27976])).
% 9.51/7.18 tff(27981,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27982,plain,
% 9.51/7.18 (((~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1)) <=> (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27983,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351))))),
% 9.51/7.18 inference(monotonicity,[status(thm)],[27982])).
% 9.51/7.18 tff(27984,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)))),
% 9.51/7.18 inference(transitivity,[status(thm)],[27983, 27981])).
% 9.51/7.18 tff(27985,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351)) | m_main_v_state1(s351, c_n1))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27986,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350) | (~node7(s350, s351))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27985, 27984])).
% 9.51/7.18 tff(27987,plain,
% 9.51/7.18 (m_main_v_state1(s351, c_n1) | (~m_main_v_state1(s350, c_c1)) | node1(s350) | node2(s350) | node3(s350) | node4(s350) | node5(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27986, 584, 27980])).
% 9.51/7.18 tff(27988,plain,
% 9.51/7.18 (m_main_v_state1(s351, c_n1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27987, 27969, 27924, 27961, 27957, 27949, 27932])).
% 9.51/7.18 tff(27989,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s349, c_t2) | (~node15(s349)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s349, c_t2) | (~node15(s349)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27990,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s349, c_t2) | (~node15(s349)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27991,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s349, c_t2) | (~node15(s349))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27990, 27989])).
% 9.51/7.18 tff(27992,plain,
% 9.51/7.18 (~node15(s349)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27991, 103, 27901])).
% 9.51/7.18 tff(27993,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s349, s350)) | node18(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s349, s350)) | node18(s349, s350))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27994,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s349, s350)) | node18(s349, s350))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(27995,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s349, s350)) | node18(s349, s350)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 9.51/7.18 tff(27996,plain,
% 9.51/7.18 (node18(s349, s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[27995, 125, 27912])).
% 9.51/7.18 tff(27997,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27998,plain,
% 9.51/7.18 (((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1)) <=> (node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(27999,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)))),
% 9.51/7.18 inference(monotonicity,[status(thm)],[27998])).
% 9.51/7.18 tff(28000,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1))),
% 9.51/7.18 inference(transitivity,[status(thm)],[27999, 27997])).
% 9.51/7.18 tff(28001,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | node15(s349) | (~node18(s349, s350)) | m_main_v_turn(s350, c_1))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28002,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s349) | (~node18(s349, s350)) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 9.51/7.18 tff(28003,plain,
% 9.51/7.18 (node15(s349) | (~m_main_v_state1(s349, c_t1)) | (~m_main_v_state2(s349, c_n2)) | m_main_v_turn(s350, c_1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28002, 992, 27996])).
% 9.51/7.18 tff(28004,plain,
% 9.51/7.18 (m_main_v_turn(s350, c_1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28003, 27992, 27829, 27897])).
% 9.51/7.18 tff(28005,plain,
% 9.51/7.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28006,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28007,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s350, c_1)) | (~m_main_v_turn(s350, c_2))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28006, 28005])).
% 9.51/7.18 tff(28008,plain,
% 9.51/7.18 (~m_main_v_turn(s350, c_2)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28007, 156, 28004])).
% 9.51/7.18 tff(28009,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s350, c_2) | (~node12(s350)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s350, c_2) | (~node12(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28010,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s350, c_2) | (~node12(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28011,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s350, c_2) | (~node12(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 9.51/7.18 tff(28012,plain,
% 9.51/7.18 (~node12(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28011, 184, 28008])).
% 9.51/7.18 tff(28013,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s350, c_n2) | (~node8(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s350, c_n2) | (~node8(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28014,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s350, c_n2) | (~node8(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28015,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s350, c_n2) | (~node8(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28014, 28013])).
% 9.51/7.18 tff(28016,plain,
% 9.51/7.18 (~node8(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28015, 271, 27945])).
% 9.51/7.18 tff(28017,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s350, c_n2) | (~node9(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s350, c_n2) | (~node9(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28018,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s350, c_n2) | (~node9(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28019,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s350, c_n2) | (~node9(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28018, 28017])).
% 9.51/7.18 tff(28020,plain,
% 9.51/7.18 (~node9(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28019, 88, 27945])).
% 9.51/7.18 tff(28021,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s350, c_n2) | (~node10(s350)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s350, c_n2) | (~node10(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28022,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s350, c_n2) | (~node10(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28023,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s350, c_n2) | (~node10(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28022, 28021])).
% 9.51/7.18 tff(28024,plain,
% 9.51/7.18 (~node10(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28023, 249, 27945])).
% 9.51/7.18 tff(28025,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s350, c_n1) | (~node11(s350)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s350, c_n1) | (~node11(s350)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28026,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s350, c_n1) | (~node11(s350)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28027,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s350, c_n1) | (~node11(s350))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 9.51/7.18 tff(28028,plain,
% 9.51/7.18 (~node11(s350)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28027, 238, 27965])).
% 9.51/7.18 tff(28029,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s350, s351)) | node14(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s350, s351)) | node14(s350, s351))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28030,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s350, s351)) | node14(s350, s351))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28031,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s350, s351)) | node14(s350, s351)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28030, 28029])).
% 9.51/7.18 tff(28032,plain,
% 9.51/7.18 (node14(s350, s351)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28031, 46, 27976])).
% 9.51/7.18 tff(28033,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28034,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28035,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351) | (~node14(s350, s351))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28034, 28033])).
% 9.51/7.18 tff(28036,plain,
% 9.51/7.18 (m_main_v_state2(s350, c_c2) | node9(s350) | node8(s350) | node10(s350) | node11(s350) | node12(s350) | node13(s350, s351)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28035, 296, 28032])).
% 9.51/7.18 tff(28037,plain,
% 9.51/7.18 (node13(s350, s351)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28036, 28028, 27953, 28024, 28020, 28016, 28012])).
% 9.51/7.18 tff(28038,plain,
% 9.51/7.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28039,plain,
% 9.51/7.18 (((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2)) <=> ((~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28040,plain,
% 9.51/7.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351))))),
% 9.51/7.18 inference(monotonicity,[status(thm)],[28039])).
% 9.51/7.18 tff(28041,plain,
% 9.51/7.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351)))),
% 9.51/7.18 inference(transitivity,[status(thm)],[28040, 28038])).
% 9.51/7.18 tff(28042,plain,
% 9.51/7.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s350, s351)) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28043,plain,
% 9.51/7.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s350, c_t2)) | m_main_v_state2(s351, c_t2) | (~node13(s350, s351))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28042, 28041])).
% 9.51/7.18 tff(28044,plain,
% 9.51/7.18 (m_main_v_state2(s351, c_t2)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28043, 518, 27941, 28037])).
% 9.51/7.18 tff(28045,plain,
% 9.51/7.18 (succ(s351, s352) <=> succ(s351, s352)),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28046,axiom,(succ(s351, s352)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound352')).
% 9.51/7.18 tff(28047,plain,
% 9.51/7.18 (succ(s351, s352)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28046, 28045])).
% 9.51/7.18 tff(28048,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28049,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28050,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28049, 28048])).
% 9.51/7.18 tff(28051,plain,
% 9.51/7.18 (trans(s351, s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28050, 28047, 32])).
% 9.51/7.18 tff(28052,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s351, s352)) | node7(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s351, s352)) | node7(s351, s352))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28053,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s351, s352)) | node7(s351, s352))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28054,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s351, s352)) | node7(s351, s352)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28053, 28052])).
% 9.51/7.18 tff(28055,plain,
% 9.51/7.18 (node7(s351, s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28054, 206, 28051])).
% 9.51/7.18 tff(28056,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28057,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28058,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node7(s351, s352)) | m_main_v_state1(s352, c_t1)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28057, 28056])).
% 9.51/7.18 tff(28059,plain,
% 9.51/7.18 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | m_main_v_state1(s352, c_t1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28058, 651, 28055])).
% 9.51/7.18 tff(28060,plain,
% 9.51/7.18 (m_main_v_state1(s352, c_t1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28059, 28044, 27988])).
% 9.51/7.18 tff(28061,plain,
% 9.51/7.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28062,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28063,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s352, c_n1)) | (~m_main_v_state1(s352, c_t1))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28062, 28061])).
% 9.51/7.18 tff(28064,plain,
% 9.51/7.18 (~m_main_v_state1(s352, c_n1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28063, 10, 28060])).
% 9.51/7.18 tff(28065,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s352, c_n1) | (~node1(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s352, c_n1) | (~node1(s352)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28066,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s352, c_n1) | (~node1(s352)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28067,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s352, c_n1) | (~node1(s352))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28066, 28065])).
% 9.51/7.18 tff(28068,plain,
% 9.51/7.18 (~node1(s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28067, 421, 28064])).
% 9.51/7.18 tff(28069,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s351, s352)) | node18(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s351, s352)) | node18(s351, s352))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28070,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s351, s352)) | node18(s351, s352))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28071,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s351, s352)) | node18(s351, s352)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28070, 28069])).
% 9.51/7.18 tff(28072,plain,
% 9.51/7.18 (node18(s351, s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28071, 125, 28051])).
% 9.51/7.18 tff(28073,plain,
% 9.51/7.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28074,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28075,plain,
% 9.51/7.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | (~node18(s351, s352)) | m_main_v_turn(s352, c_2)),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28074, 28073])).
% 9.51/7.18 tff(28076,plain,
% 9.51/7.18 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | m_main_v_turn(s352, c_2)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28075, 760, 28072])).
% 9.51/7.18 tff(28077,plain,
% 9.51/7.18 (m_main_v_turn(s352, c_2)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28076, 28044, 27988])).
% 9.51/7.18 tff(28078,plain,
% 9.51/7.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28079,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28080,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s352, c_1)) | (~m_main_v_turn(s352, c_2))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 9.51/7.18 tff(28081,plain,
% 9.51/7.18 (~m_main_v_turn(s352, c_1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28080, 156, 28077])).
% 9.51/7.18 tff(28082,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s352, c_1) | (~node5(s352)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s352, c_1) | (~node5(s352)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28083,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s352, c_1) | (~node5(s352)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28084,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s352, c_1) | (~node5(s352))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28083, 28082])).
% 9.51/7.18 tff(28085,plain,
% 9.51/7.18 (~node5(s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28084, 776, 28081])).
% 9.51/7.18 tff(28086,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s352, c_n1) | (~node2(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s352, c_n1) | (~node2(s352)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28087,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s352, c_n1) | (~node2(s352)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28088,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s352, c_n1) | (~node2(s352))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28087, 28086])).
% 9.51/7.18 tff(28089,plain,
% 9.51/7.18 (~node2(s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28088, 787, 28064])).
% 9.51/7.18 tff(28090,plain,
% 9.51/7.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s352, c_n1) | (~node3(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s352, c_n1) | (~node3(s352)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28091,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s352, c_n1) | (~node3(s352)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28092,plain,
% 9.51/7.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s352, c_n1) | (~node3(s352))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28091, 28090])).
% 9.51/7.18 tff(28093,plain,
% 9.51/7.18 (~node3(s352)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28092, 798, 28064])).
% 9.51/7.18 tff(28094,plain,
% 9.51/7.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.18 tff(28095,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1)))),
% 9.51/7.18 inference(quant_inst,[status(thm)],[])).
% 9.51/7.18 tff(28096,plain,
% 9.51/7.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s352, c_t1)) | (~m_main_v_state1(s352, c_c1))),
% 9.51/7.18 inference(modus_ponens,[status(thm)],[28095, 28094])).
% 9.51/7.18 tff(28097,plain,
% 9.51/7.18 (~m_main_v_state1(s352, c_c1)),
% 9.51/7.18 inference(unit_resolution,[status(thm)],[28096, 539, 28060])).
% 9.51/7.18 tff(28098,plain,
% 9.51/7.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 9.51/7.18 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28099,plain,
% 9.51/7.19 (((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2))) <=> (m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28100,plain,
% 9.51/7.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351))))),
% 9.51/7.19 inference(monotonicity,[status(thm)],[28099])).
% 9.51/7.19 tff(28101,plain,
% 9.51/7.19 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351)))),
% 9.51/7.19 inference(transitivity,[status(thm)],[28100, 28098])).
% 9.51/7.19 tff(28102,plain,
% 9.51/7.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s350, s351)) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28103,plain,
% 9.51/7.19 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s350, c_n2) | (~m_main_v_state2(s351, c_n2)) | (~node13(s350, s351))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 9.51/7.19 tff(28104,plain,
% 9.51/7.19 (~m_main_v_state2(s351, c_n2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28103, 311, 27945, 28037])).
% 9.51/7.19 tff(28105,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s351, c_n2) | (~node9(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s351, c_n2) | (~node9(s351)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28106,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s351, c_n2) | (~node9(s351)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28107,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s351, c_n2) | (~node9(s351))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 9.51/7.19 tff(28108,plain,
% 9.51/7.19 (~node9(s351)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28107, 88, 28104])).
% 9.51/7.19 tff(28109,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s351, c_n2) | (~node10(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s351, c_n2) | (~node10(s351)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28110,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s351, c_n2) | (~node10(s351)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28111,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s351, c_n2) | (~node10(s351))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 9.51/7.19 tff(28112,plain,
% 9.51/7.19 (~node10(s351)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28111, 249, 28104])).
% 9.51/7.19 tff(28113,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s351, c_n2) | (~node8(s351)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s351, c_n2) | (~node8(s351)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28114,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s351, c_n2) | (~node8(s351)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28115,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s351, c_n2) | (~node8(s351))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28114, 28113])).
% 9.51/7.19 tff(28116,plain,
% 9.51/7.19 (~node8(s351)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28115, 271, 28104])).
% 9.51/7.19 tff(28117,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s351, s352)) | node14(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s351, s352)) | node14(s351, s352))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28118,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s351, s352)) | node14(s351, s352))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28119,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s351, s352)) | node14(s351, s352)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 9.51/7.19 tff(28120,plain,
% 9.51/7.19 (node14(s351, s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28119, 46, 28051])).
% 9.51/7.19 tff(28121,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28122,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28123,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | (~node14(s351, s352)) | m_main_v_state2(s352, c_c2)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28122, 28121])).
% 9.51/7.19 tff(28124,plain,
% 9.51/7.19 ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state2(s351, c_t2)) | node9(s351) | node8(s351) | node10(s351) | m_main_v_state2(s352, c_c2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28123, 617, 28120])).
% 9.51/7.19 tff(28125,plain,
% 9.51/7.19 (m_main_v_state2(s352, c_c2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28124, 28116, 27988, 28044, 28112, 28108])).
% 9.51/7.19 tff(28126,plain,
% 9.51/7.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28127,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28128,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_n2)) | (~m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 9.51/7.19 tff(28129,plain,
% 9.51/7.19 (~m_main_v_state2(s352, c_n2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28128, 697, 28125])).
% 9.51/7.19 tff(28130,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s352, c_n2) | (~node4(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s352, c_n2) | (~node4(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28131,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s352, c_n2) | (~node4(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28132,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s352, c_n2) | (~node4(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 9.51/7.19 tff(28133,plain,
% 9.51/7.19 (~node4(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28132, 388, 28129])).
% 9.51/7.19 tff(28134,plain,
% 9.51/7.19 (succ(s352, s353) <=> succ(s352, s353)),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28135,axiom,(succ(s352, s353)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound353')).
% 9.51/7.19 tff(28136,plain,
% 9.51/7.19 (succ(s352, s353)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 9.51/7.19 tff(28137,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28138,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28139,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28138, 28137])).
% 9.51/7.19 tff(28140,plain,
% 9.51/7.19 (trans(s352, s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28139, 28136, 32])).
% 9.51/7.19 tff(28141,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s352, s353)) | node7(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s352, s353)) | node7(s352, s353))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28142,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s352, s353)) | node7(s352, s353))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28143,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s352, s353)) | node7(s352, s353)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 9.51/7.19 tff(28144,plain,
% 9.51/7.19 (node7(s352, s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28143, 206, 28140])).
% 9.51/7.19 tff(28145,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28146,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28147,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353) | (~node7(s352, s353))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28146, 28145])).
% 9.51/7.19 tff(28148,plain,
% 9.51/7.19 (m_main_v_state1(s352, c_c1) | node1(s352) | node2(s352) | node3(s352) | node4(s352) | node5(s352) | node6(s352, s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28147, 820, 28144])).
% 9.51/7.19 tff(28149,plain,
% 9.51/7.19 (node6(s352, s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28148, 28133, 28097, 28093, 28089, 28085, 28068])).
% 9.51/7.19 tff(28150,plain,
% 9.51/7.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28151,plain,
% 9.51/7.19 (((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1)) <=> ((~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28152,plain,
% 9.51/7.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353))))),
% 9.51/7.19 inference(monotonicity,[status(thm)],[28151])).
% 9.51/7.19 tff(28153,plain,
% 9.51/7.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353)))),
% 9.51/7.19 inference(transitivity,[status(thm)],[28152, 28150])).
% 9.51/7.19 tff(28154,plain,
% 9.51/7.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s352, s353)) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28155,plain,
% 9.51/7.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s352, c_t1)) | m_main_v_state1(s353, c_t1) | (~node6(s352, s353))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28154, 28153])).
% 9.51/7.19 tff(28156,plain,
% 9.51/7.19 (m_main_v_state1(s353, c_t1)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28155, 856, 28060, 28149])).
% 9.51/7.19 tff(28157,plain,
% 9.51/7.19 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28158,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28159,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s352, c_t2)) | (~m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28158, 28157])).
% 9.51/7.19 tff(28160,plain,
% 9.51/7.19 (~m_main_v_state2(s352, c_t2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28159, 260, 28125])).
% 9.51/7.19 tff(28161,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s352, c_t2) | (~node12(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s352, c_t2) | (~node12(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28162,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s352, c_t2) | (~node12(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28163,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s352, c_t2) | (~node12(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28162, 28161])).
% 9.51/7.19 tff(28164,plain,
% 9.51/7.19 (~node12(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28163, 633, 28160])).
% 9.51/7.19 tff(28165,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s352, c_n1) | (~node11(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s352, c_n1) | (~node11(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28166,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s352, c_n1) | (~node11(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28167,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s352, c_n1) | (~node11(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28166, 28165])).
% 9.51/7.19 tff(28168,plain,
% 9.51/7.19 (~node11(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28167, 238, 28064])).
% 9.51/7.19 tff(28169,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s352, c_c1) | (~node10(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s352, c_c1) | (~node10(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28170,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s352, c_c1) | (~node10(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28171,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s352, c_c1) | (~node10(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28170, 28169])).
% 9.51/7.19 tff(28172,plain,
% 9.51/7.19 (~node10(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28171, 675, 28097])).
% 9.51/7.19 tff(28173,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s352, c_n1) | (~node9(s352)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s352, c_n1) | (~node9(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28174,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s352, c_n1) | (~node9(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28175,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s352, c_n1) | (~node9(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 9.51/7.19 tff(28176,plain,
% 9.51/7.19 (~node9(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28175, 686, 28064])).
% 9.51/7.19 tff(28177,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s352, c_n2) | (~node8(s352)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s352, c_n2) | (~node8(s352)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28178,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s352, c_n2) | (~node8(s352)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28179,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s352, c_n2) | (~node8(s352))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28178, 28177])).
% 9.51/7.19 tff(28180,plain,
% 9.51/7.19 (~node8(s352)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28179, 271, 28129])).
% 9.51/7.19 tff(28181,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s352, s353)) | node14(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s352, s353)) | node14(s352, s353))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28182,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s352, s353)) | node14(s352, s353))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28183,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s352, s353)) | node14(s352, s353)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28182, 28181])).
% 9.51/7.19 tff(28184,plain,
% 9.51/7.19 (node14(s352, s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28183, 46, 28140])).
% 9.51/7.19 tff(28185,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28186,plain,
% 9.51/7.19 (((~m_main_v_state2(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2)) <=> (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28187,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2))))),
% 9.51/7.19 inference(monotonicity,[status(thm)],[28186])).
% 9.51/7.19 tff(28188,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2)))),
% 9.51/7.19 inference(transitivity,[status(thm)],[28187, 28185])).
% 9.51/7.19 tff(28189,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s352, c_c2)) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | m_main_v_state2(s353, c_n2))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28190,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~node14(s352, s353)) | (~m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28189, 28188])).
% 9.51/7.19 tff(28191,plain,
% 9.51/7.19 (m_main_v_state2(s353, c_n2) | node9(s352) | node8(s352) | node10(s352) | node11(s352) | node12(s352) | (~m_main_v_state2(s352, c_c2))),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28190, 726, 28184])).
% 9.51/7.19 tff(28192,plain,
% 9.51/7.19 (m_main_v_state2(s353, c_n2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28191, 28180, 28125, 28176, 28172, 28168, 28164])).
% 9.51/7.19 tff(28193,plain,
% 9.51/7.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28194,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28195,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_t2))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28194, 28193])).
% 9.51/7.19 tff(28196,plain,
% 9.51/7.19 (~m_main_v_state2(s353, c_t2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28195, 77, 28192])).
% 9.51/7.19 tff(28197,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s353, c_t2) | (~node15(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s353, c_t2) | (~node15(s353)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28198,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s353, c_t2) | (~node15(s353)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28199,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s353, c_t2) | (~node15(s353))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 9.51/7.19 tff(28200,plain,
% 9.51/7.19 (~node15(s353)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28199, 103, 28196])).
% 9.51/7.19 tff(28201,plain,
% 9.51/7.19 (succ(s353, s354) <=> succ(s353, s354)),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28202,axiom,(succ(s353, s354)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound354')).
% 9.51/7.19 tff(28203,plain,
% 9.51/7.19 (succ(s353, s354)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28202, 28201])).
% 9.51/7.19 tff(28204,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28205,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28206,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 9.51/7.19 tff(28207,plain,
% 9.51/7.19 (trans(s353, s354)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28206, 28203, 32])).
% 9.51/7.19 tff(28208,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s353, s354)) | node18(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s353, s354)) | node18(s353, s354))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28209,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s353, s354)) | node18(s353, s354))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28210,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s353, s354)) | node18(s353, s354)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28209, 28208])).
% 9.51/7.19 tff(28211,plain,
% 9.51/7.19 (node18(s353, s354)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28210, 125, 28207])).
% 9.51/7.19 tff(28212,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28213,plain,
% 9.51/7.19 (((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1)) <=> (node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28214,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)))),
% 9.51/7.19 inference(monotonicity,[status(thm)],[28213])).
% 9.51/7.19 tff(28215,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1))),
% 9.51/7.19 inference(transitivity,[status(thm)],[28214, 28212])).
% 9.51/7.19 tff(28216,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node15(s353) | (~node18(s353, s354)) | m_main_v_turn(s354, c_1))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28217,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s353) | (~node18(s353, s354)) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28216, 28215])).
% 9.51/7.19 tff(28218,plain,
% 9.51/7.19 (node15(s353) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_turn(s354, c_1)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28217, 992, 28211])).
% 9.51/7.19 tff(28219,plain,
% 9.51/7.19 (m_main_v_turn(s354, c_1)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28218, 28200, 28192, 28156])).
% 9.51/7.19 tff(28220,plain,
% 9.51/7.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28221,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28222,plain,
% 9.51/7.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s354, c_1)) | (~m_main_v_turn(s354, c_2))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 9.51/7.19 tff(28223,plain,
% 9.51/7.19 (~m_main_v_turn(s354, c_2)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28222, 156, 28219])).
% 9.51/7.19 tff(28224,plain,
% 9.51/7.19 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s354, c_2) | (~node12(s354)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s354, c_2) | (~node12(s354)))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28225,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s354, c_2) | (~node12(s354)))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28226,plain,
% 9.51/7.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s354, c_2) | (~node12(s354))),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 9.51/7.19 tff(28227,plain,
% 9.51/7.19 (~node12(s354)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28226, 184, 28223])).
% 9.51/7.19 tff(28228,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s353, s354)) | node14(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s353, s354)) | node14(s353, s354))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28229,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s353, s354)) | node14(s353, s354))),
% 9.51/7.19 inference(quant_inst,[status(thm)],[])).
% 9.51/7.19 tff(28230,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s353, s354)) | node14(s353, s354)),
% 9.51/7.19 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 9.51/7.19 tff(28231,plain,
% 9.51/7.19 (node14(s353, s354)),
% 9.51/7.19 inference(unit_resolution,[status(thm)],[28230, 46, 28207])).
% 9.51/7.19 tff(28232,plain,
% 9.51/7.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2))),
% 9.51/7.19 inference(rewrite,[status(thm)],[])).
% 9.51/7.19 tff(28233,plain,
% 9.51/7.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28234,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | (~node14(s353, s354)) | m_main_v_state2(s354, c_t2)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28233, 28232])).
% 9.51/7.20 tff(28235,plain,
% 9.51/7.20 ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state2(s354, c_t2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28234, 922, 28231])).
% 9.51/7.20 tff(28236,plain,
% 9.51/7.20 (m_main_v_state2(s354, c_t2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28235, 28156, 28192])).
% 9.51/7.20 tff(28237,plain,
% 9.51/7.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28238,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28239,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s354, c_n2)) | (~m_main_v_state2(s354, c_t2))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 9.51/7.20 tff(28240,plain,
% 9.51/7.20 (~m_main_v_state2(s354, c_n2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28239, 77, 28236])).
% 9.51/7.20 tff(28241,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s354, c_n2) | (~node8(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s354, c_n2) | (~node8(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28242,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s354, c_n2) | (~node8(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28243,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s354, c_n2) | (~node8(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 9.51/7.20 tff(28244,plain,
% 9.51/7.20 (~node8(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28243, 271, 28240])).
% 9.51/7.20 tff(28245,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s354, c_n2) | (~node9(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s354, c_n2) | (~node9(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28246,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s354, c_n2) | (~node9(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28247,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s354, c_n2) | (~node9(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28246, 28245])).
% 9.51/7.20 tff(28248,plain,
% 9.51/7.20 (~node9(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28247, 88, 28240])).
% 9.51/7.20 tff(28249,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s354, c_n2) | (~node10(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s354, c_n2) | (~node10(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28250,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s354, c_n2) | (~node10(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28251,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s354, c_n2) | (~node10(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28250, 28249])).
% 9.51/7.20 tff(28252,plain,
% 9.51/7.20 (~node10(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28251, 249, 28240])).
% 9.51/7.20 tff(28253,plain,
% 9.51/7.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28254,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28255,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s354, c_t2)) | (~m_main_v_state2(s354, c_c2))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 9.51/7.20 tff(28256,plain,
% 9.51/7.20 (~m_main_v_state2(s354, c_c2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28255, 260, 28236])).
% 9.51/7.20 tff(28257,plain,
% 9.51/7.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28258,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28259,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s353, c_n2)) | (~m_main_v_state2(s353, c_c2))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28258, 28257])).
% 9.51/7.20 tff(28260,plain,
% 9.51/7.20 (~m_main_v_state2(s353, c_c2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28259, 697, 28192])).
% 9.51/7.20 tff(28261,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s353, c_c2) | (~node3(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s353, c_c2) | (~node3(s353)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28262,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s353, c_c2) | (~node3(s353)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28263,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s353, c_c2) | (~node3(s353))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 9.51/7.20 tff(28264,plain,
% 9.51/7.20 (~node3(s353)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28263, 399, 28260])).
% 9.51/7.20 tff(28265,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28266,plain,
% 9.51/7.20 (((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1))) <=> (m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28267,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353))))),
% 9.51/7.20 inference(monotonicity,[status(thm)],[28266])).
% 9.51/7.20 tff(28268,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353)))),
% 9.51/7.20 inference(transitivity,[status(thm)],[28267, 28265])).
% 9.51/7.20 tff(28269,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s352, s353)) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28270,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s352, c_n1) | (~m_main_v_state1(s353, c_n1)) | (~node6(s352, s353))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 9.51/7.20 tff(28271,plain,
% 9.51/7.20 (~m_main_v_state1(s353, c_n1)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28270, 835, 28064, 28149])).
% 9.51/7.20 tff(28272,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s353, c_n1) | (~node2(s353)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s353, c_n1) | (~node2(s353)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28273,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s353, c_n1) | (~node2(s353)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28274,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s353, c_n1) | (~node2(s353))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28273, 28272])).
% 9.51/7.20 tff(28275,plain,
% 9.51/7.20 (~node2(s353)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28274, 787, 28271])).
% 9.51/7.20 tff(28276,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s353, c_t2) | (~node1(s353)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s353, c_t2) | (~node1(s353)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28277,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s353, c_t2) | (~node1(s353)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28278,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s353, c_t2) | (~node1(s353))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28277, 28276])).
% 9.51/7.20 tff(28279,plain,
% 9.51/7.20 (~node1(s353)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28278, 195, 28196])).
% 9.51/7.20 tff(28280,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s353, s354)) | node7(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s353, s354)) | node7(s353, s354))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28281,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s353, s354)) | node7(s353, s354))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28282,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s353, s354)) | node7(s353, s354)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28281, 28280])).
% 9.51/7.20 tff(28283,plain,
% 9.51/7.20 (node7(s353, s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28282, 206, 28207])).
% 9.51/7.20 tff(28284,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28285,plain,
% 9.51/7.20 (((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1)) <=> ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28286,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354))))),
% 9.51/7.20 inference(monotonicity,[status(thm)],[28285])).
% 9.51/7.20 tff(28287,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)))),
% 9.51/7.20 inference(transitivity,[status(thm)],[28286, 28284])).
% 9.51/7.20 tff(28288,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354)) | m_main_v_state1(s354, c_c1))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28289,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353) | (~node7(s353, s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 9.51/7.20 tff(28290,plain,
% 9.51/7.20 ((~m_main_v_state1(s353, c_t1)) | (~m_main_v_state2(s353, c_n2)) | m_main_v_state1(s354, c_c1) | node1(s353) | node2(s353) | node3(s353)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28289, 892, 28283])).
% 9.51/7.20 tff(28291,plain,
% 9.51/7.20 (m_main_v_state1(s354, c_c1)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28290, 28279, 28192, 28156, 28275, 28264])).
% 9.51/7.20 tff(28292,plain,
% 9.51/7.20 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28293,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28294,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_n1)) | (~m_main_v_state1(s354, c_c1))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28293, 28292])).
% 9.51/7.20 tff(28295,plain,
% 9.51/7.20 (~m_main_v_state1(s354, c_n1)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28294, 454, 28291])).
% 9.51/7.20 tff(28296,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s354, c_n1) | (~node11(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s354, c_n1) | (~node11(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28297,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s354, c_n1) | (~node11(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28298,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s354, c_n1) | (~node11(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28297, 28296])).
% 9.51/7.20 tff(28299,plain,
% 9.51/7.20 (~node11(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28298, 238, 28295])).
% 9.51/7.20 tff(28300,plain,
% 9.51/7.20 (succ(s354, s355) <=> succ(s354, s355)),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28301,axiom,(succ(s354, s355)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound355')).
% 9.51/7.20 tff(28302,plain,
% 9.51/7.20 (succ(s354, s355)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28301, 28300])).
% 9.51/7.20 tff(28303,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28304,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28305,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 9.51/7.20 tff(28306,plain,
% 9.51/7.20 (trans(s354, s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28305, 28302, 32])).
% 9.51/7.20 tff(28307,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s354, s355)) | node14(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s354, s355)) | node14(s354, s355))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28308,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s354, s355)) | node14(s354, s355))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28309,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s354, s355)) | node14(s354, s355)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 9.51/7.20 tff(28310,plain,
% 9.51/7.20 (node14(s354, s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28309, 46, 28306])).
% 9.51/7.20 tff(28311,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28312,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28313,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355) | (~node14(s354, s355))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 9.51/7.20 tff(28314,plain,
% 9.51/7.20 (m_main_v_state2(s354, c_c2) | node9(s354) | node8(s354) | node10(s354) | node11(s354) | node12(s354) | node13(s354, s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28313, 296, 28310])).
% 9.51/7.20 tff(28315,plain,
% 9.51/7.20 (node13(s354, s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28314, 28299, 28256, 28252, 28248, 28244, 28227])).
% 9.51/7.20 tff(28316,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28317,plain,
% 9.51/7.20 (((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2))) <=> (m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28318,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355))))),
% 9.51/7.20 inference(monotonicity,[status(thm)],[28317])).
% 9.51/7.20 tff(28319,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355)))),
% 9.51/7.20 inference(transitivity,[status(thm)],[28318, 28316])).
% 9.51/7.20 tff(28320,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s354, s355)) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28321,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s354, c_n2) | (~m_main_v_state2(s355, c_n2)) | (~node13(s354, s355))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28320, 28319])).
% 9.51/7.20 tff(28322,plain,
% 9.51/7.20 (~m_main_v_state2(s355, c_n2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28321, 311, 28240, 28315])).
% 9.51/7.20 tff(28323,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s355, c_n2) | (~node9(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s355, c_n2) | (~node9(s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28324,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s355, c_n2) | (~node9(s355)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28325,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s355, c_n2) | (~node9(s355))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 9.51/7.20 tff(28326,plain,
% 9.51/7.20 (~node9(s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28325, 88, 28322])).
% 9.51/7.20 tff(28327,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s355, c_n2) | (~node10(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s355, c_n2) | (~node10(s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28328,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s355, c_n2) | (~node10(s355)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28329,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s355, c_n2) | (~node10(s355))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28328, 28327])).
% 9.51/7.20 tff(28330,plain,
% 9.51/7.20 (~node10(s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28329, 249, 28322])).
% 9.51/7.20 tff(28331,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28332,plain,
% 9.51/7.20 (((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2)) <=> ((~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28333,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355))))),
% 9.51/7.20 inference(monotonicity,[status(thm)],[28332])).
% 9.51/7.20 tff(28334,plain,
% 9.51/7.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355)))),
% 9.51/7.20 inference(transitivity,[status(thm)],[28333, 28331])).
% 9.51/7.20 tff(28335,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s354, s355)) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28336,plain,
% 9.51/7.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s354, c_t2)) | m_main_v_state2(s355, c_t2) | (~node13(s354, s355))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 9.51/7.20 tff(28337,plain,
% 9.51/7.20 (m_main_v_state2(s355, c_t2)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28336, 518, 28236, 28315])).
% 9.51/7.20 tff(28338,plain,
% 9.51/7.20 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28339,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28340,plain,
% 9.51/7.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s354, c_t1)) | (~m_main_v_state1(s354, c_c1))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28339, 28338])).
% 9.51/7.20 tff(28341,plain,
% 9.51/7.20 (~m_main_v_state1(s354, c_t1)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28340, 539, 28291])).
% 9.51/7.20 tff(28342,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s354, c_t1) | (~node5(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s354, c_t1) | (~node5(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28343,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s354, c_t1) | (~node5(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28344,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s354, c_t1) | (~node5(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28343, 28342])).
% 9.51/7.20 tff(28345,plain,
% 9.51/7.20 (~node5(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28344, 550, 28341])).
% 9.51/7.20 tff(28346,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s354, c_n2) | (~node4(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s354, c_n2) | (~node4(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28347,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s354, c_n2) | (~node4(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28348,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s354, c_n2) | (~node4(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28347, 28346])).
% 9.51/7.20 tff(28349,plain,
% 9.51/7.20 (~node4(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28348, 388, 28240])).
% 9.51/7.20 tff(28350,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s354, c_c2) | (~node3(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s354, c_c2) | (~node3(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28351,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s354, c_c2) | (~node3(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28352,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s354, c_c2) | (~node3(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28351, 28350])).
% 9.51/7.20 tff(28353,plain,
% 9.51/7.20 (~node3(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28352, 399, 28256])).
% 9.51/7.20 tff(28354,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s354, c_n2) | (~node2(s354)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s354, c_n2) | (~node2(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28355,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s354, c_n2) | (~node2(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28356,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s354, c_n2) | (~node2(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 9.51/7.20 tff(28357,plain,
% 9.51/7.20 (~node2(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28356, 410, 28240])).
% 9.51/7.20 tff(28358,plain,
% 9.51/7.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s354, c_n1) | (~node1(s354)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s354, c_n1) | (~node1(s354)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28359,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s354, c_n1) | (~node1(s354)))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28360,plain,
% 9.51/7.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s354, c_n1) | (~node1(s354))),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28359, 28358])).
% 9.51/7.20 tff(28361,plain,
% 9.51/7.20 (~node1(s354)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28360, 421, 28295])).
% 9.51/7.20 tff(28362,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s354, s355)) | node7(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s354, s355)) | node7(s354, s355))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28363,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s354, s355)) | node7(s354, s355))),
% 9.51/7.20 inference(quant_inst,[status(thm)],[])).
% 9.51/7.20 tff(28364,plain,
% 9.51/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s354, s355)) | node7(s354, s355)),
% 9.51/7.20 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 9.51/7.20 tff(28365,plain,
% 9.51/7.20 (node7(s354, s355)),
% 9.51/7.20 inference(unit_resolution,[status(thm)],[28364, 206, 28306])).
% 9.51/7.20 tff(28366,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28367,plain,
% 9.51/7.20 (((~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1)) <=> (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 9.51/7.20 inference(rewrite,[status(thm)],[])).
% 9.51/7.20 tff(28368,plain,
% 9.51/7.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355))))),
% 9.51/7.21 inference(monotonicity,[status(thm)],[28367])).
% 9.51/7.21 tff(28369,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)))),
% 9.51/7.21 inference(transitivity,[status(thm)],[28368, 28366])).
% 9.51/7.21 tff(28370,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355)) | m_main_v_state1(s355, c_n1))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28371,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354) | (~node7(s354, s355))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28370, 28369])).
% 9.51/7.21 tff(28372,plain,
% 9.51/7.21 (m_main_v_state1(s355, c_n1) | (~m_main_v_state1(s354, c_c1)) | node1(s354) | node2(s354) | node3(s354) | node4(s354) | node5(s354)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28371, 584, 28365])).
% 9.51/7.21 tff(28373,plain,
% 9.51/7.21 (m_main_v_state1(s355, c_n1)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28372, 28361, 28291, 28357, 28353, 28349, 28345])).
% 9.51/7.21 tff(28374,plain,
% 9.51/7.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s355, c_n2) | (~node8(s355)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s355, c_n2) | (~node8(s355)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28375,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s355, c_n2) | (~node8(s355)))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28376,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s355, c_n2) | (~node8(s355))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28375, 28374])).
% 9.51/7.21 tff(28377,plain,
% 9.51/7.21 (~node8(s355)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28376, 271, 28322])).
% 9.51/7.21 tff(28378,plain,
% 9.51/7.21 (succ(s355, s356) <=> succ(s355, s356)),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28379,axiom,(succ(s355, s356)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound356')).
% 9.51/7.21 tff(28380,plain,
% 9.51/7.21 (succ(s355, s356)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 9.51/7.21 tff(28381,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28382,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28383,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28382, 28381])).
% 9.51/7.21 tff(28384,plain,
% 9.51/7.21 (trans(s355, s356)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28383, 28380, 32])).
% 9.51/7.21 tff(28385,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s355, s356)) | node14(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s355, s356)) | node14(s355, s356))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28386,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s355, s356)) | node14(s355, s356))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28387,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s355, s356)) | node14(s355, s356)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 9.51/7.21 tff(28388,plain,
% 9.51/7.21 (node14(s355, s356)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28387, 46, 28384])).
% 9.51/7.21 tff(28389,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28390,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28391,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | (~node14(s355, s356)) | m_main_v_state2(s356, c_c2)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 9.51/7.21 tff(28392,plain,
% 9.51/7.21 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | node9(s355) | node8(s355) | node10(s355) | m_main_v_state2(s356, c_c2)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28391, 617, 28388])).
% 9.51/7.21 tff(28393,plain,
% 9.51/7.21 (m_main_v_state2(s356, c_c2)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28392, 28377, 28373, 28337, 28330, 28326])).
% 9.51/7.21 tff(28394,plain,
% 9.51/7.21 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28395,plain,
% 9.51/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2)))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28396,plain,
% 9.51/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_t2)) | (~m_main_v_state2(s356, c_c2))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 9.51/7.21 tff(28397,plain,
% 9.51/7.21 (~m_main_v_state2(s356, c_t2)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28396, 260, 28393])).
% 9.51/7.21 tff(28398,plain,
% 9.51/7.21 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s356, c_t2) | (~node12(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s356, c_t2) | (~node12(s356)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28399,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s356, c_t2) | (~node12(s356)))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28400,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s356, c_t2) | (~node12(s356))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 9.51/7.21 tff(28401,plain,
% 9.51/7.21 (~node12(s356)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28400, 633, 28397])).
% 9.51/7.21 tff(28402,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s355, s356)) | node7(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s355, s356)) | node7(s355, s356))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28403,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s355, s356)) | node7(s355, s356))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28404,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s355, s356)) | node7(s355, s356)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 9.51/7.21 tff(28405,plain,
% 9.51/7.21 (node7(s355, s356)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28404, 206, 28384])).
% 9.51/7.21 tff(28406,plain,
% 9.51/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28407,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28408,plain,
% 9.51/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node7(s355, s356)) | m_main_v_state1(s356, c_t1)),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 9.51/7.21 tff(28409,plain,
% 9.51/7.21 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | m_main_v_state1(s356, c_t1)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28408, 651, 28405])).
% 9.51/7.21 tff(28410,plain,
% 9.51/7.21 (m_main_v_state1(s356, c_t1)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28409, 28337, 28373])).
% 9.51/7.21 tff(28411,plain,
% 9.51/7.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28412,plain,
% 9.51/7.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1)))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28413,plain,
% 9.51/7.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s356, c_n1)) | (~m_main_v_state1(s356, c_t1))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 9.51/7.21 tff(28414,plain,
% 9.51/7.21 (~m_main_v_state1(s356, c_n1)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28413, 10, 28410])).
% 9.51/7.21 tff(28415,plain,
% 9.51/7.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s356, c_n1) | (~node11(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s356, c_n1) | (~node11(s356)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28416,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s356, c_n1) | (~node11(s356)))),
% 9.51/7.21 inference(quant_inst,[status(thm)],[])).
% 9.51/7.21 tff(28417,plain,
% 9.51/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s356, c_n1) | (~node11(s356))),
% 9.51/7.21 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 9.51/7.21 tff(28418,plain,
% 9.51/7.21 (~node11(s356)),
% 9.51/7.21 inference(unit_resolution,[status(thm)],[28417, 238, 28414])).
% 9.51/7.21 tff(28419,plain,
% 9.51/7.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))),
% 9.51/7.21 inference(rewrite,[status(thm)],[])).
% 9.51/7.21 tff(28420,plain,
% 9.51/7.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28421,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s356, c_t1)) | (~m_main_v_state1(s356, c_c1))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 9.58/7.21 tff(28422,plain,
% 9.58/7.21 (~m_main_v_state1(s356, c_c1)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28421, 539, 28410])).
% 9.58/7.21 tff(28423,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s356, c_c1) | (~node10(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s356, c_c1) | (~node10(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28424,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s356, c_c1) | (~node10(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28425,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s356, c_c1) | (~node10(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 9.58/7.21 tff(28426,plain,
% 9.58/7.21 (~node10(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28425, 675, 28422])).
% 9.58/7.21 tff(28427,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s356, c_n1) | (~node9(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s356, c_n1) | (~node9(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28428,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s356, c_n1) | (~node9(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28429,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s356, c_n1) | (~node9(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28428, 28427])).
% 9.58/7.21 tff(28430,plain,
% 9.58/7.21 (~node9(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28429, 686, 28414])).
% 9.58/7.21 tff(28431,plain,
% 9.58/7.21 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28432,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28433,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s356, c_n2)) | (~m_main_v_state2(s356, c_c2))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28432, 28431])).
% 9.58/7.21 tff(28434,plain,
% 9.58/7.21 (~m_main_v_state2(s356, c_n2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28433, 697, 28393])).
% 9.58/7.21 tff(28435,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s356, c_n2) | (~node8(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s356, c_n2) | (~node8(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28436,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s356, c_n2) | (~node8(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28437,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s356, c_n2) | (~node8(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28436, 28435])).
% 9.58/7.21 tff(28438,plain,
% 9.58/7.21 (~node8(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28437, 271, 28434])).
% 9.58/7.21 tff(28439,plain,
% 9.58/7.21 (succ(s356, s357) <=> succ(s356, s357)),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28440,axiom,(succ(s356, s357)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound357')).
% 9.58/7.21 tff(28441,plain,
% 9.58/7.21 (succ(s356, s357)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28440, 28439])).
% 9.58/7.21 tff(28442,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28443,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28444,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 9.58/7.21 tff(28445,plain,
% 9.58/7.21 (trans(s356, s357)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28444, 28441, 32])).
% 9.58/7.21 tff(28446,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s356, s357)) | node14(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s356, s357)) | node14(s356, s357))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28447,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s356, s357)) | node14(s356, s357))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28448,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s356, s357)) | node14(s356, s357)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 9.58/7.21 tff(28449,plain,
% 9.58/7.21 (node14(s356, s357)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28448, 46, 28445])).
% 9.58/7.21 tff(28450,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28451,plain,
% 9.58/7.21 (((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2)) <=> (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28452,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2))))),
% 9.58/7.21 inference(monotonicity,[status(thm)],[28451])).
% 9.58/7.21 tff(28453,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2)))),
% 9.58/7.21 inference(transitivity,[status(thm)],[28452, 28450])).
% 9.58/7.21 tff(28454,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s356, c_c2)) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | m_main_v_state2(s357, c_n2))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28455,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~node14(s356, s357)) | (~m_main_v_state2(s356, c_c2))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 9.58/7.21 tff(28456,plain,
% 9.58/7.21 (m_main_v_state2(s357, c_n2) | node9(s356) | node8(s356) | node10(s356) | node11(s356) | node12(s356) | (~m_main_v_state2(s356, c_c2))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28455, 726, 28449])).
% 9.58/7.21 tff(28457,plain,
% 9.58/7.21 (m_main_v_state2(s357, c_n2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28456, 28438, 28393, 28430, 28426, 28418, 28401])).
% 9.58/7.21 tff(28458,plain,
% 9.58/7.21 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28459,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28460,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_c2))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28459, 28458])).
% 9.58/7.21 tff(28461,plain,
% 9.58/7.21 (~m_main_v_state2(s357, c_c2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28460, 697, 28457])).
% 9.58/7.21 tff(28462,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s357, c_c2) | (~node3(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s357, c_c2) | (~node3(s357)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28463,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s357, c_c2) | (~node3(s357)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28464,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s357, c_c2) | (~node3(s357))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 9.58/7.21 tff(28465,plain,
% 9.58/7.21 (~node3(s357)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28464, 399, 28461])).
% 9.58/7.21 tff(28466,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s356, c_n1) | (~node1(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s356, c_n1) | (~node1(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28467,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s356, c_n1) | (~node1(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28468,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s356, c_n1) | (~node1(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28467, 28466])).
% 9.58/7.21 tff(28469,plain,
% 9.58/7.21 (~node1(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28468, 421, 28414])).
% 9.58/7.21 tff(28470,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s355, s356)) | node18(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s355, s356)) | node18(s355, s356))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28471,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s355, s356)) | node18(s355, s356))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28472,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s355, s356)) | node18(s355, s356)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 9.58/7.21 tff(28473,plain,
% 9.58/7.21 (node18(s355, s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28472, 125, 28384])).
% 9.58/7.21 tff(28474,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28475,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28476,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | (~node18(s355, s356)) | m_main_v_turn(s356, c_2)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 9.58/7.21 tff(28477,plain,
% 9.58/7.21 ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state2(s355, c_t2)) | m_main_v_turn(s356, c_2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28476, 760, 28473])).
% 9.58/7.21 tff(28478,plain,
% 9.58/7.21 (m_main_v_turn(s356, c_2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28477, 28337, 28373])).
% 9.58/7.21 tff(28479,plain,
% 9.58/7.21 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28480,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28481,plain,
% 9.58/7.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s356, c_1)) | (~m_main_v_turn(s356, c_2))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 9.58/7.21 tff(28482,plain,
% 9.58/7.21 (~m_main_v_turn(s356, c_1)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28481, 156, 28478])).
% 9.58/7.21 tff(28483,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s356, c_1) | (~node5(s356)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s356, c_1) | (~node5(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28484,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s356, c_1) | (~node5(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28485,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s356, c_1) | (~node5(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 9.58/7.21 tff(28486,plain,
% 9.58/7.21 (~node5(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28485, 776, 28482])).
% 9.58/7.21 tff(28487,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s356, c_n1) | (~node2(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s356, c_n1) | (~node2(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28488,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s356, c_n1) | (~node2(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28489,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s356, c_n1) | (~node2(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 9.58/7.21 tff(28490,plain,
% 9.58/7.21 (~node2(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28489, 787, 28414])).
% 9.58/7.21 tff(28491,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s356, c_n1) | (~node3(s356)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s356, c_n1) | (~node3(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28492,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s356, c_n1) | (~node3(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28493,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s356, c_n1) | (~node3(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 9.58/7.21 tff(28494,plain,
% 9.58/7.21 (~node3(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28493, 798, 28414])).
% 9.58/7.21 tff(28495,plain,
% 9.58/7.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s356, c_n2) | (~node4(s356)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s356, c_n2) | (~node4(s356)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28496,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s356, c_n2) | (~node4(s356)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28497,plain,
% 9.58/7.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s356, c_n2) | (~node4(s356))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 9.58/7.21 tff(28498,plain,
% 9.58/7.21 (~node4(s356)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28497, 388, 28434])).
% 9.58/7.21 tff(28499,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s356, s357)) | node7(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s356, s357)) | node7(s356, s357))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(28500,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s356, s357)) | node7(s356, s357))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(28501,plain,
% 9.58/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s356, s357)) | node7(s356, s357)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 9.58/7.21 tff(28502,plain,
% 9.58/7.21 (node7(s356, s357)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[28501, 206, 28445])).
% 9.58/7.21 tff(28503,plain,
% 9.58/7.21 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28504,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28505,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357) | (~node7(s356, s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 9.58/7.22 tff(28506,plain,
% 9.58/7.22 (m_main_v_state1(s356, c_c1) | node1(s356) | node2(s356) | node3(s356) | node4(s356) | node5(s356) | node6(s356, s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28505, 820, 28502])).
% 9.58/7.22 tff(28507,plain,
% 9.58/7.22 (node6(s356, s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28506, 28498, 28422, 28494, 28490, 28486, 28469])).
% 9.58/7.22 tff(28508,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28509,plain,
% 9.58/7.22 (((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1))) <=> (m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28510,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[28509])).
% 9.58/7.22 tff(28511,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357)))),
% 9.58/7.22 inference(transitivity,[status(thm)],[28510, 28508])).
% 9.58/7.22 tff(28512,plain,
% 9.58/7.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s356, s357)) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28513,plain,
% 9.58/7.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s356, c_n1) | (~m_main_v_state1(s357, c_n1)) | (~node6(s356, s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 9.58/7.22 tff(28514,plain,
% 9.58/7.22 (~m_main_v_state1(s357, c_n1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28513, 835, 28414, 28507])).
% 9.58/7.22 tff(28515,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s357, c_n1) | (~node2(s357)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s357, c_n1) | (~node2(s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28516,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s357, c_n1) | (~node2(s357)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28517,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s357, c_n1) | (~node2(s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 9.58/7.22 tff(28518,plain,
% 9.58/7.22 (~node2(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28517, 787, 28514])).
% 9.58/7.22 tff(28519,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28520,plain,
% 9.58/7.22 (((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1)) <=> ((~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28521,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[28520])).
% 9.58/7.22 tff(28522,plain,
% 9.58/7.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357)))),
% 9.58/7.22 inference(transitivity,[status(thm)],[28521, 28519])).
% 9.58/7.22 tff(28523,plain,
% 9.58/7.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s356, s357)) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28524,plain,
% 9.58/7.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s356, c_t1)) | m_main_v_state1(s357, c_t1) | (~node6(s356, s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 9.58/7.22 tff(28525,plain,
% 9.58/7.22 (m_main_v_state1(s357, c_t1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28524, 856, 28410, 28507])).
% 9.58/7.22 tff(28526,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28527,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28528,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s357, c_n2)) | (~m_main_v_state2(s357, c_t2))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 9.58/7.22 tff(28529,plain,
% 9.58/7.22 (~m_main_v_state2(s357, c_t2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28528, 77, 28457])).
% 9.58/7.22 tff(28530,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s357, c_t2) | (~node1(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s357, c_t2) | (~node1(s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28531,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s357, c_t2) | (~node1(s357)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28532,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s357, c_t2) | (~node1(s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 9.58/7.22 tff(28533,plain,
% 9.58/7.22 (~node1(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28532, 195, 28529])).
% 9.58/7.22 tff(28534,plain,
% 9.58/7.22 (succ(s357, s358) <=> succ(s357, s358)),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28535,axiom,(succ(s357, s358)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound358')).
% 9.58/7.22 tff(28536,plain,
% 9.58/7.22 (succ(s357, s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28535, 28534])).
% 9.58/7.22 tff(28537,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28538,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28539,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28538, 28537])).
% 9.58/7.22 tff(28540,plain,
% 9.58/7.22 (trans(s357, s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28539, 28536, 32])).
% 9.58/7.22 tff(28541,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s357, s358)) | node7(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s357, s358)) | node7(s357, s358))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28542,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s357, s358)) | node7(s357, s358))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28543,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s357, s358)) | node7(s357, s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 9.58/7.22 tff(28544,plain,
% 9.58/7.22 (node7(s357, s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28543, 206, 28540])).
% 9.58/7.22 tff(28545,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28546,plain,
% 9.58/7.22 (((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1)) <=> ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28547,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[28546])).
% 9.58/7.22 tff(28548,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)))),
% 9.58/7.22 inference(transitivity,[status(thm)],[28547, 28545])).
% 9.58/7.22 tff(28549,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358)) | m_main_v_state1(s358, c_c1))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28550,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357) | (~node7(s357, s358))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28549, 28548])).
% 9.58/7.22 tff(28551,plain,
% 9.58/7.22 ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state1(s358, c_c1) | node1(s357) | node2(s357) | node3(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28550, 892, 28544])).
% 9.58/7.22 tff(28552,plain,
% 9.58/7.22 (m_main_v_state1(s358, c_c1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28551, 28533, 28457, 28525, 28518, 28465])).
% 9.58/7.22 tff(28553,plain,
% 9.58/7.22 (^[X: $i] : refl(((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ((~m_main_v_state1(X, c_c1)) | (~always19(X))))),
% 9.58/7.22 inference(bind,[status(th)],[])).
% 9.58/7.22 tff(28554,plain,
% 9.58/7.22 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 9.58/7.22 inference(quant_intro,[status(thm)],[28553])).
% 9.58/7.22 tff(28555,plain,
% 9.58/7.22 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28556,axiom,(![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 9.58/7.22 tff(28557,plain,
% 9.58/7.22 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 9.58/7.22 tff(28558,plain,(
% 9.58/7.22 ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 9.58/7.22 inference(skolemize,[status(sab)],[28557])).
% 9.58/7.22 tff(28559,plain,
% 9.58/7.22 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28558, 28554])).
% 9.58/7.22 tff(28560,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s358)) | (~m_main_v_state1(s358, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s358)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28561,plain,
% 9.58/7.22 (((~m_main_v_state1(s358, c_c1)) | (~always19(s358))) <=> ((~always19(s358)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28562,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s358, c_c1)) | (~always19(s358)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s358)) | (~m_main_v_state1(s358, c_c1))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[28561])).
% 9.58/7.22 tff(28563,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s358, c_c1)) | (~always19(s358)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s358)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.22 inference(transitivity,[status(thm)],[28562, 28560])).
% 9.58/7.22 tff(28564,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s358, c_c1)) | (~always19(s358)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28565,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s358)) | (~m_main_v_state1(s358, c_c1))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 9.58/7.22 tff(28566,plain,
% 9.58/7.22 (~always19(s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28565, 28559, 28552])).
% 9.58/7.22 tff(28567,plain,
% 9.58/7.22 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 9.58/7.22 inference(bind,[status(th)],[])).
% 9.58/7.22 tff(28568,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(quant_intro,[status(thm)],[28567])).
% 9.58/7.22 tff(28569,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28570,plain,
% 9.58/7.22 (^[Y: $i, X: $i] : rewrite(((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 9.58/7.22 inference(bind,[status(th)],[])).
% 9.58/7.22 tff(28571,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(quant_intro,[status(thm)],[28570])).
% 9.58/7.22 tff(28572,axiom,(![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 9.58/7.22 tff(28573,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28572, 28571])).
% 9.58/7.22 tff(28574,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28573, 28569])).
% 9.58/7.22 tff(28575,plain,(
% 9.58/7.22 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(skolemize,[status(sab)],[28574])).
% 9.58/7.22 tff(28576,plain,
% 9.58/7.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28575, 28568])).
% 9.58/7.22 tff(28577,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s357, s358)) | (~always19(s357)) | always19(s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s357, s358)) | (~always19(s357)) | always19(s358))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28578,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s357, s358)) | (~always19(s357)) | always19(s358))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28579,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s357, s358)) | (~always19(s357)) | always19(s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28578, 28577])).
% 9.58/7.22 tff(28580,plain,
% 9.58/7.22 ((~always19(s357)) | always19(s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28579, 28576, 28540])).
% 9.58/7.22 tff(28581,plain,
% 9.58/7.22 (~always19(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28580, 28566])).
% 9.58/7.22 tff(28582,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s356, s357)) | (~always19(s356)) | always19(s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s356, s357)) | (~always19(s356)) | always19(s357))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28583,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s356, s357)) | (~always19(s356)) | always19(s357))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28584,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s356, s357)) | (~always19(s356)) | always19(s357)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 9.58/7.22 tff(28585,plain,
% 9.58/7.22 ((~always19(s356)) | always19(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28584, 28576, 28445])).
% 9.58/7.22 tff(28586,plain,
% 9.58/7.22 (~always19(s356)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28585, 28581])).
% 9.58/7.22 tff(28587,assumption,(~node20(s404)), introduced(assumption)).
% 9.58/7.22 tff(28588,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s357, c_t2) | (~node15(s357)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s357, c_t2) | (~node15(s357)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28589,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s357, c_t2) | (~node15(s357)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28590,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s357, c_t2) | (~node15(s357))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28589, 28588])).
% 9.58/7.22 tff(28591,plain,
% 9.58/7.22 (~node15(s357)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28590, 103, 28529])).
% 9.58/7.22 tff(28592,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s357, s358)) | node18(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s357, s358)) | node18(s357, s358))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28593,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s357, s358)) | node18(s357, s358))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28594,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s357, s358)) | node18(s357, s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28593, 28592])).
% 9.58/7.22 tff(28595,plain,
% 9.58/7.22 (node18(s357, s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28594, 125, 28540])).
% 9.58/7.22 tff(28596,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28597,plain,
% 9.58/7.22 (((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1)) <=> (node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28598,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[28597])).
% 9.58/7.22 tff(28599,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1))),
% 9.58/7.22 inference(transitivity,[status(thm)],[28598, 28596])).
% 9.58/7.22 tff(28600,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | node15(s357) | (~node18(s357, s358)) | m_main_v_turn(s358, c_1))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28601,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s357) | (~node18(s357, s358)) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 9.58/7.22 tff(28602,plain,
% 9.58/7.22 (node15(s357) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_turn(s358, c_1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28601, 992, 28595])).
% 9.58/7.22 tff(28603,plain,
% 9.58/7.22 (m_main_v_turn(s358, c_1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28602, 28591, 28457, 28525])).
% 9.58/7.22 tff(28604,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28605,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28606,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s358, c_1)) | (~m_main_v_turn(s358, c_2))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 9.58/7.22 tff(28607,plain,
% 9.58/7.22 (~m_main_v_turn(s358, c_2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28606, 156, 28603])).
% 9.58/7.22 tff(28608,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s358, c_2) | (~node12(s358)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s358, c_2) | (~node12(s358)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28609,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s358, c_2) | (~node12(s358)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28610,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s358, c_2) | (~node12(s358))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28609, 28608])).
% 9.58/7.22 tff(28611,plain,
% 9.58/7.22 (~node12(s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28610, 184, 28607])).
% 9.58/7.22 tff(28612,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s357, s358)) | node14(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s357, s358)) | node14(s357, s358))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28613,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s357, s358)) | node14(s357, s358))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28614,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s357, s358)) | node14(s357, s358)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28613, 28612])).
% 9.58/7.22 tff(28615,plain,
% 9.58/7.22 (node14(s357, s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28614, 46, 28540])).
% 9.58/7.22 tff(28616,plain,
% 9.58/7.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28617,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28618,plain,
% 9.58/7.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | (~node14(s357, s358)) | m_main_v_state2(s358, c_t2)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 9.58/7.22 tff(28619,plain,
% 9.58/7.22 ((~m_main_v_state1(s357, c_t1)) | (~m_main_v_state2(s357, c_n2)) | m_main_v_state2(s358, c_t2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28618, 922, 28615])).
% 9.58/7.22 tff(28620,plain,
% 9.58/7.22 (m_main_v_state2(s358, c_t2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28619, 28525, 28457])).
% 9.58/7.22 tff(28621,plain,
% 9.58/7.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28622,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28623,plain,
% 9.58/7.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s358, c_n2)) | (~m_main_v_state2(s358, c_t2))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28622, 28621])).
% 9.58/7.22 tff(28624,plain,
% 9.58/7.22 (~m_main_v_state2(s358, c_n2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28623, 77, 28620])).
% 9.58/7.22 tff(28625,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s358, c_n2) | (~node8(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s358, c_n2) | (~node8(s358)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28626,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s358, c_n2) | (~node8(s358)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(28627,plain,
% 9.58/7.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s358, c_n2) | (~node8(s358))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[28626, 28625])).
% 9.58/7.22 tff(28628,plain,
% 9.58/7.22 (~node8(s358)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[28627, 271, 28624])).
% 9.58/7.22 tff(28629,plain,
% 9.58/7.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s358, c_n2) | (~node9(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s358, c_n2) | (~node9(s358)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(28630,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s358, c_n2) | (~node9(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28631,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s358, c_n2) | (~node9(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28630, 28629])).
% 9.58/7.23 tff(28632,plain,
% 9.58/7.23 (~node9(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28631, 88, 28624])).
% 9.58/7.23 tff(28633,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s358, c_n2) | (~node10(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s358, c_n2) | (~node10(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28634,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s358, c_n2) | (~node10(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28635,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s358, c_n2) | (~node10(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28634, 28633])).
% 9.58/7.23 tff(28636,plain,
% 9.58/7.23 (~node10(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28635, 249, 28624])).
% 9.58/7.23 tff(28637,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28638,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28639,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s358, c_t2)) | (~m_main_v_state2(s358, c_c2))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28638, 28637])).
% 9.58/7.23 tff(28640,plain,
% 9.58/7.23 (~m_main_v_state2(s358, c_c2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28639, 260, 28620])).
% 9.58/7.23 tff(28641,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28642,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28643,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_n1)) | (~m_main_v_state1(s358, c_c1))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28642, 28641])).
% 9.58/7.23 tff(28644,plain,
% 9.58/7.23 (~m_main_v_state1(s358, c_n1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28643, 454, 28552])).
% 9.58/7.23 tff(28645,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s358, c_n1) | (~node11(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s358, c_n1) | (~node11(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28646,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s358, c_n1) | (~node11(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28647,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s358, c_n1) | (~node11(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28646, 28645])).
% 9.58/7.23 tff(28648,plain,
% 9.58/7.23 (~node11(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28647, 238, 28644])).
% 9.58/7.23 tff(28649,plain,
% 9.58/7.23 (succ(s358, s359) <=> succ(s358, s359)),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28650,axiom,(succ(s358, s359)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound359')).
% 9.58/7.23 tff(28651,plain,
% 9.58/7.23 (succ(s358, s359)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 9.58/7.23 tff(28652,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28653,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28654,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 9.58/7.23 tff(28655,plain,
% 9.58/7.23 (trans(s358, s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28654, 28651, 32])).
% 9.58/7.23 tff(28656,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s358, s359)) | node14(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s358, s359)) | node14(s358, s359))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28657,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s358, s359)) | node14(s358, s359))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28658,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s358, s359)) | node14(s358, s359)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28657, 28656])).
% 9.58/7.23 tff(28659,plain,
% 9.58/7.23 (node14(s358, s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28658, 46, 28655])).
% 9.58/7.23 tff(28660,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28661,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28662,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359) | (~node14(s358, s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28661, 28660])).
% 9.58/7.23 tff(28663,plain,
% 9.58/7.23 (m_main_v_state2(s358, c_c2) | node9(s358) | node8(s358) | node10(s358) | node11(s358) | node12(s358) | node13(s358, s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28662, 296, 28659])).
% 9.58/7.23 tff(28664,plain,
% 9.58/7.23 (node13(s358, s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28663, 28648, 28640, 28636, 28632, 28628, 28611])).
% 9.58/7.23 tff(28665,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28666,plain,
% 9.58/7.23 (((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2))) <=> (m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28667,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359))))),
% 9.58/7.23 inference(monotonicity,[status(thm)],[28666])).
% 9.58/7.23 tff(28668,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359)))),
% 9.58/7.23 inference(transitivity,[status(thm)],[28667, 28665])).
% 9.58/7.23 tff(28669,plain,
% 9.58/7.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s358, s359)) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28670,plain,
% 9.58/7.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s358, c_n2) | (~m_main_v_state2(s359, c_n2)) | (~node13(s358, s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 9.58/7.23 tff(28671,plain,
% 9.58/7.23 (~m_main_v_state2(s359, c_n2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28670, 311, 28624, 28664])).
% 9.58/7.23 tff(28672,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s359, c_n2) | (~node9(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s359, c_n2) | (~node9(s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28673,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s359, c_n2) | (~node9(s359)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28674,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s359, c_n2) | (~node9(s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 9.58/7.23 tff(28675,plain,
% 9.58/7.23 (~node9(s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28674, 88, 28671])).
% 9.58/7.23 tff(28676,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s359, c_n2) | (~node10(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s359, c_n2) | (~node10(s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28677,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s359, c_n2) | (~node10(s359)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28678,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s359, c_n2) | (~node10(s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 9.58/7.23 tff(28679,plain,
% 9.58/7.23 (~node10(s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28678, 249, 28671])).
% 9.58/7.23 tff(28680,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28681,plain,
% 9.58/7.23 (((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2)) <=> ((~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28682,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359))))),
% 9.58/7.23 inference(monotonicity,[status(thm)],[28681])).
% 9.58/7.23 tff(28683,plain,
% 9.58/7.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359)))),
% 9.58/7.23 inference(transitivity,[status(thm)],[28682, 28680])).
% 9.58/7.23 tff(28684,plain,
% 9.58/7.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s358, s359)) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28685,plain,
% 9.58/7.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s358, c_t2)) | m_main_v_state2(s359, c_t2) | (~node13(s358, s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28684, 28683])).
% 9.58/7.23 tff(28686,plain,
% 9.58/7.23 (m_main_v_state2(s359, c_t2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28685, 518, 28620, 28664])).
% 9.58/7.23 tff(28687,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28688,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28689,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s358, c_t1)) | (~m_main_v_state1(s358, c_c1))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 9.58/7.23 tff(28690,plain,
% 9.58/7.23 (~m_main_v_state1(s358, c_t1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28689, 539, 28552])).
% 9.58/7.23 tff(28691,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s358, c_t1) | (~node5(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s358, c_t1) | (~node5(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28692,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s358, c_t1) | (~node5(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28693,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s358, c_t1) | (~node5(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28692, 28691])).
% 9.58/7.23 tff(28694,plain,
% 9.58/7.23 (~node5(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28693, 550, 28690])).
% 9.58/7.23 tff(28695,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s358, c_n2) | (~node4(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s358, c_n2) | (~node4(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28696,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s358, c_n2) | (~node4(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28697,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s358, c_n2) | (~node4(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28696, 28695])).
% 9.58/7.23 tff(28698,plain,
% 9.58/7.23 (~node4(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28697, 388, 28624])).
% 9.58/7.23 tff(28699,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s358, c_c2) | (~node3(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s358, c_c2) | (~node3(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28700,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s358, c_c2) | (~node3(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28701,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s358, c_c2) | (~node3(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28700, 28699])).
% 9.58/7.23 tff(28702,plain,
% 9.58/7.23 (~node3(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28701, 399, 28640])).
% 9.58/7.23 tff(28703,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s358, c_n2) | (~node2(s358)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s358, c_n2) | (~node2(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28704,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s358, c_n2) | (~node2(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28705,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s358, c_n2) | (~node2(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28704, 28703])).
% 9.58/7.23 tff(28706,plain,
% 9.58/7.23 (~node2(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28705, 410, 28624])).
% 9.58/7.23 tff(28707,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s358, c_n1) | (~node1(s358)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s358, c_n1) | (~node1(s358)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28708,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s358, c_n1) | (~node1(s358)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28709,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s358, c_n1) | (~node1(s358))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 9.58/7.23 tff(28710,plain,
% 9.58/7.23 (~node1(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28709, 421, 28644])).
% 9.58/7.23 tff(28711,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s358, s359)) | node7(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s358, s359)) | node7(s358, s359))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28712,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s358, s359)) | node7(s358, s359))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28713,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s358, s359)) | node7(s358, s359)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 9.58/7.23 tff(28714,plain,
% 9.58/7.23 (node7(s358, s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28713, 206, 28655])).
% 9.58/7.23 tff(28715,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28716,plain,
% 9.58/7.23 (((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1)) <=> (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28717,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359))))),
% 9.58/7.23 inference(monotonicity,[status(thm)],[28716])).
% 9.58/7.23 tff(28718,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)))),
% 9.58/7.23 inference(transitivity,[status(thm)],[28717, 28715])).
% 9.58/7.23 tff(28719,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359)) | m_main_v_state1(s359, c_n1))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28720,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358) | (~node7(s358, s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 9.58/7.23 tff(28721,plain,
% 9.58/7.23 (m_main_v_state1(s359, c_n1) | (~m_main_v_state1(s358, c_c1)) | node1(s358) | node2(s358) | node3(s358) | node4(s358) | node5(s358)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28720, 584, 28714])).
% 9.58/7.23 tff(28722,plain,
% 9.58/7.23 (m_main_v_state1(s359, c_n1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28721, 28710, 28552, 28706, 28702, 28698, 28694])).
% 9.58/7.23 tff(28723,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s359, c_n2) | (~node8(s359)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s359, c_n2) | (~node8(s359)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28724,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s359, c_n2) | (~node8(s359)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28725,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s359, c_n2) | (~node8(s359))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 9.58/7.23 tff(28726,plain,
% 9.58/7.23 (~node8(s359)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28725, 271, 28671])).
% 9.58/7.23 tff(28727,plain,
% 9.58/7.23 (succ(s359, s360) <=> succ(s359, s360)),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28728,axiom,(succ(s359, s360)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound360')).
% 9.58/7.23 tff(28729,plain,
% 9.58/7.23 (succ(s359, s360)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 9.58/7.23 tff(28730,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28731,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28732,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28731, 28730])).
% 9.58/7.23 tff(28733,plain,
% 9.58/7.23 (trans(s359, s360)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28732, 28729, 32])).
% 9.58/7.23 tff(28734,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s359, s360)) | node14(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s359, s360)) | node14(s359, s360))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28735,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s359, s360)) | node14(s359, s360))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28736,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s359, s360)) | node14(s359, s360)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 9.58/7.23 tff(28737,plain,
% 9.58/7.23 (node14(s359, s360)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28736, 46, 28733])).
% 9.58/7.23 tff(28738,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28739,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28740,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | (~node14(s359, s360)) | m_main_v_state2(s360, c_c2)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28739, 28738])).
% 9.58/7.23 tff(28741,plain,
% 9.58/7.23 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | node9(s359) | node8(s359) | node10(s359) | m_main_v_state2(s360, c_c2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28740, 617, 28737])).
% 9.58/7.23 tff(28742,plain,
% 9.58/7.23 (m_main_v_state2(s360, c_c2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28741, 28726, 28722, 28686, 28679, 28675])).
% 9.58/7.23 tff(28743,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28744,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28745,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_t2)) | (~m_main_v_state2(s360, c_c2))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28744, 28743])).
% 9.58/7.23 tff(28746,plain,
% 9.58/7.23 (~m_main_v_state2(s360, c_t2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28745, 260, 28742])).
% 9.58/7.23 tff(28747,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s360, c_t2) | (~node12(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s360, c_t2) | (~node12(s360)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28748,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s360, c_t2) | (~node12(s360)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28749,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s360, c_t2) | (~node12(s360))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 9.58/7.23 tff(28750,plain,
% 9.58/7.23 (~node12(s360)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28749, 633, 28746])).
% 9.58/7.23 tff(28751,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s359, s360)) | node7(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s359, s360)) | node7(s359, s360))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28752,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s359, s360)) | node7(s359, s360))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28753,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s359, s360)) | node7(s359, s360)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 9.58/7.23 tff(28754,plain,
% 9.58/7.23 (node7(s359, s360)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28753, 206, 28733])).
% 9.58/7.23 tff(28755,plain,
% 9.58/7.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28756,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28757,plain,
% 9.58/7.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node7(s359, s360)) | m_main_v_state1(s360, c_t1)),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28756, 28755])).
% 9.58/7.23 tff(28758,plain,
% 9.58/7.23 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | m_main_v_state1(s360, c_t1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28757, 651, 28754])).
% 9.58/7.23 tff(28759,plain,
% 9.58/7.23 (m_main_v_state1(s360, c_t1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28758, 28686, 28722])).
% 9.58/7.23 tff(28760,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28761,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28762,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s360, c_n1)) | (~m_main_v_state1(s360, c_t1))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28761, 28760])).
% 9.58/7.23 tff(28763,plain,
% 9.58/7.23 (~m_main_v_state1(s360, c_n1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28762, 10, 28759])).
% 9.58/7.23 tff(28764,plain,
% 9.58/7.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s360, c_n1) | (~node11(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s360, c_n1) | (~node11(s360)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28765,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s360, c_n1) | (~node11(s360)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28766,plain,
% 9.58/7.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s360, c_n1) | (~node11(s360))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[28765, 28764])).
% 9.58/7.23 tff(28767,plain,
% 9.58/7.23 (~node11(s360)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[28766, 238, 28763])).
% 9.58/7.23 tff(28768,plain,
% 9.58/7.23 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(28769,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(28770,plain,
% 9.58/7.23 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s360, c_t1)) | (~m_main_v_state1(s360, c_c1))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 9.58/7.24 tff(28771,plain,
% 9.58/7.24 (~m_main_v_state1(s360, c_c1)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28770, 539, 28759])).
% 9.58/7.24 tff(28772,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s360, c_c1) | (~node10(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s360, c_c1) | (~node10(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28773,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s360, c_c1) | (~node10(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28774,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s360, c_c1) | (~node10(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 9.58/7.24 tff(28775,plain,
% 9.58/7.24 (~node10(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28774, 675, 28771])).
% 9.58/7.24 tff(28776,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s360, c_n1) | (~node9(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s360, c_n1) | (~node9(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28777,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s360, c_n1) | (~node9(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28778,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s360, c_n1) | (~node9(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 9.58/7.24 tff(28779,plain,
% 9.58/7.24 (~node9(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28778, 686, 28763])).
% 9.58/7.24 tff(28780,plain,
% 9.58/7.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28781,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28782,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s360, c_n2)) | (~m_main_v_state2(s360, c_c2))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 9.58/7.24 tff(28783,plain,
% 9.58/7.24 (~m_main_v_state2(s360, c_n2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28782, 697, 28742])).
% 9.58/7.24 tff(28784,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s360, c_n2) | (~node8(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s360, c_n2) | (~node8(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28785,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s360, c_n2) | (~node8(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28786,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s360, c_n2) | (~node8(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 9.58/7.24 tff(28787,plain,
% 9.58/7.24 (~node8(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28786, 271, 28783])).
% 9.58/7.24 tff(28788,plain,
% 9.58/7.24 (succ(s360, s361) <=> succ(s360, s361)),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28789,axiom,(succ(s360, s361)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound361')).
% 9.58/7.24 tff(28790,plain,
% 9.58/7.24 (succ(s360, s361)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 9.58/7.24 tff(28791,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28792,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28793,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 9.58/7.24 tff(28794,plain,
% 9.58/7.24 (trans(s360, s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28793, 28790, 32])).
% 9.58/7.24 tff(28795,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s360, s361)) | node14(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s360, s361)) | node14(s360, s361))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28796,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s360, s361)) | node14(s360, s361))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28797,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s360, s361)) | node14(s360, s361)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28796, 28795])).
% 9.58/7.24 tff(28798,plain,
% 9.58/7.24 (node14(s360, s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28797, 46, 28794])).
% 9.58/7.24 tff(28799,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28800,plain,
% 9.58/7.24 (((~m_main_v_state2(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2)) <=> (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28801,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2))))),
% 9.58/7.24 inference(monotonicity,[status(thm)],[28800])).
% 9.58/7.24 tff(28802,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2)))),
% 9.58/7.24 inference(transitivity,[status(thm)],[28801, 28799])).
% 9.58/7.24 tff(28803,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s360, c_c2)) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | m_main_v_state2(s361, c_n2))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28804,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~node14(s360, s361)) | (~m_main_v_state2(s360, c_c2))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28803, 28802])).
% 9.58/7.24 tff(28805,plain,
% 9.58/7.24 (m_main_v_state2(s361, c_n2) | node9(s360) | node8(s360) | node10(s360) | node11(s360) | node12(s360) | (~m_main_v_state2(s360, c_c2))),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28804, 726, 28798])).
% 9.58/7.24 tff(28806,plain,
% 9.58/7.24 (m_main_v_state2(s361, c_n2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28805, 28787, 28742, 28779, 28775, 28767, 28750])).
% 9.58/7.24 tff(28807,plain,
% 9.58/7.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28808,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28809,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_c2))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28808, 28807])).
% 9.58/7.24 tff(28810,plain,
% 9.58/7.24 (~m_main_v_state2(s361, c_c2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28809, 697, 28806])).
% 9.58/7.24 tff(28811,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s361, c_c2) | (~node3(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s361, c_c2) | (~node3(s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28812,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s361, c_c2) | (~node3(s361)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28813,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s361, c_c2) | (~node3(s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28812, 28811])).
% 9.58/7.24 tff(28814,plain,
% 9.58/7.24 (~node3(s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28813, 399, 28810])).
% 9.58/7.24 tff(28815,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s360, c_n1) | (~node1(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s360, c_n1) | (~node1(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28816,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s360, c_n1) | (~node1(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28817,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s360, c_n1) | (~node1(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28816, 28815])).
% 9.58/7.24 tff(28818,plain,
% 9.58/7.24 (~node1(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28817, 421, 28763])).
% 9.58/7.24 tff(28819,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s359, s360)) | node18(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s359, s360)) | node18(s359, s360))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28820,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s359, s360)) | node18(s359, s360))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28821,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s359, s360)) | node18(s359, s360)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28820, 28819])).
% 9.58/7.24 tff(28822,plain,
% 9.58/7.24 (node18(s359, s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28821, 125, 28733])).
% 9.58/7.24 tff(28823,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28824,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28825,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | (~node18(s359, s360)) | m_main_v_turn(s360, c_2)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28824, 28823])).
% 9.58/7.24 tff(28826,plain,
% 9.58/7.24 ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state2(s359, c_t2)) | m_main_v_turn(s360, c_2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28825, 760, 28822])).
% 9.58/7.24 tff(28827,plain,
% 9.58/7.24 (m_main_v_turn(s360, c_2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28826, 28686, 28722])).
% 9.58/7.24 tff(28828,plain,
% 9.58/7.24 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28829,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28830,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s360, c_1)) | (~m_main_v_turn(s360, c_2))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28829, 28828])).
% 9.58/7.24 tff(28831,plain,
% 9.58/7.24 (~m_main_v_turn(s360, c_1)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28830, 156, 28827])).
% 9.58/7.24 tff(28832,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s360, c_1) | (~node5(s360)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s360, c_1) | (~node5(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28833,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s360, c_1) | (~node5(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28834,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s360, c_1) | (~node5(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28833, 28832])).
% 9.58/7.24 tff(28835,plain,
% 9.58/7.24 (~node5(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28834, 776, 28831])).
% 9.58/7.24 tff(28836,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s360, c_n1) | (~node2(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s360, c_n1) | (~node2(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28837,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s360, c_n1) | (~node2(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28838,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s360, c_n1) | (~node2(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28837, 28836])).
% 9.58/7.24 tff(28839,plain,
% 9.58/7.24 (~node2(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28838, 787, 28763])).
% 9.58/7.24 tff(28840,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s360, c_n1) | (~node3(s360)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s360, c_n1) | (~node3(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28841,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s360, c_n1) | (~node3(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28842,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s360, c_n1) | (~node3(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 9.58/7.24 tff(28843,plain,
% 9.58/7.24 (~node3(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28842, 798, 28763])).
% 9.58/7.24 tff(28844,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s360, c_n2) | (~node4(s360)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s360, c_n2) | (~node4(s360)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28845,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s360, c_n2) | (~node4(s360)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28846,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s360, c_n2) | (~node4(s360))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28845, 28844])).
% 9.58/7.24 tff(28847,plain,
% 9.58/7.24 (~node4(s360)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28846, 388, 28783])).
% 9.58/7.24 tff(28848,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s360, s361)) | node7(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s360, s361)) | node7(s360, s361))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28849,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s360, s361)) | node7(s360, s361))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28850,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s360, s361)) | node7(s360, s361)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28849, 28848])).
% 9.58/7.24 tff(28851,plain,
% 9.58/7.24 (node7(s360, s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28850, 206, 28794])).
% 9.58/7.24 tff(28852,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28853,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28854,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361) | (~node7(s360, s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 9.58/7.24 tff(28855,plain,
% 9.58/7.24 (m_main_v_state1(s360, c_c1) | node1(s360) | node2(s360) | node3(s360) | node4(s360) | node5(s360) | node6(s360, s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28854, 820, 28851])).
% 9.58/7.24 tff(28856,plain,
% 9.58/7.24 (node6(s360, s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28855, 28847, 28771, 28843, 28839, 28835, 28818])).
% 9.58/7.24 tff(28857,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28858,plain,
% 9.58/7.24 (((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1))) <=> (m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28859,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361))))),
% 9.58/7.24 inference(monotonicity,[status(thm)],[28858])).
% 9.58/7.24 tff(28860,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361)))),
% 9.58/7.24 inference(transitivity,[status(thm)],[28859, 28857])).
% 9.58/7.24 tff(28861,plain,
% 9.58/7.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s360, s361)) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28862,plain,
% 9.58/7.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s360, c_n1) | (~m_main_v_state1(s361, c_n1)) | (~node6(s360, s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 9.58/7.24 tff(28863,plain,
% 9.58/7.24 (~m_main_v_state1(s361, c_n1)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28862, 835, 28763, 28856])).
% 9.58/7.24 tff(28864,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s361, c_n1) | (~node2(s361)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s361, c_n1) | (~node2(s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28865,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s361, c_n1) | (~node2(s361)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28866,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s361, c_n1) | (~node2(s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 9.58/7.24 tff(28867,plain,
% 9.58/7.24 (~node2(s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28866, 787, 28863])).
% 9.58/7.24 tff(28868,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28869,plain,
% 9.58/7.24 (((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1)) <=> ((~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28870,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361))))),
% 9.58/7.24 inference(monotonicity,[status(thm)],[28869])).
% 9.58/7.24 tff(28871,plain,
% 9.58/7.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361)))),
% 9.58/7.24 inference(transitivity,[status(thm)],[28870, 28868])).
% 9.58/7.24 tff(28872,plain,
% 9.58/7.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s360, s361)) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28873,plain,
% 9.58/7.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s360, c_t1)) | m_main_v_state1(s361, c_t1) | (~node6(s360, s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 9.58/7.24 tff(28874,plain,
% 9.58/7.24 (m_main_v_state1(s361, c_t1)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28873, 856, 28759, 28856])).
% 9.58/7.24 tff(28875,plain,
% 9.58/7.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28876,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28877,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s361, c_n2)) | (~m_main_v_state2(s361, c_t2))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 9.58/7.24 tff(28878,plain,
% 9.58/7.24 (~m_main_v_state2(s361, c_t2)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28877, 77, 28806])).
% 9.58/7.24 tff(28879,plain,
% 9.58/7.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s361, c_t2) | (~node1(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s361, c_t2) | (~node1(s361)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28880,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s361, c_t2) | (~node1(s361)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28881,plain,
% 9.58/7.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s361, c_t2) | (~node1(s361))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28880, 28879])).
% 9.58/7.24 tff(28882,plain,
% 9.58/7.24 (~node1(s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28881, 195, 28878])).
% 9.58/7.24 tff(28883,plain,
% 9.58/7.24 (succ(s361, s362) <=> succ(s361, s362)),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28884,axiom,(succ(s361, s362)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound362')).
% 9.58/7.24 tff(28885,plain,
% 9.58/7.24 (succ(s361, s362)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 9.58/7.24 tff(28886,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28887,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28888,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28887, 28886])).
% 9.58/7.24 tff(28889,plain,
% 9.58/7.24 (trans(s361, s362)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28888, 28885, 32])).
% 9.58/7.24 tff(28890,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s361, s362)) | node7(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s361, s362)) | node7(s361, s362))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28891,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s361, s362)) | node7(s361, s362))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28892,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s361, s362)) | node7(s361, s362)),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28891, 28890])).
% 9.58/7.24 tff(28893,plain,
% 9.58/7.24 (node7(s361, s362)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28892, 206, 28889])).
% 9.58/7.24 tff(28894,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28895,plain,
% 9.58/7.24 (((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1)) <=> ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28896,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362))))),
% 9.58/7.24 inference(monotonicity,[status(thm)],[28895])).
% 9.58/7.24 tff(28897,plain,
% 9.58/7.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)))),
% 9.58/7.24 inference(transitivity,[status(thm)],[28896, 28894])).
% 9.58/7.24 tff(28898,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362)) | m_main_v_state1(s362, c_c1))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28899,plain,
% 9.58/7.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361) | (~node7(s361, s362))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 9.58/7.24 tff(28900,plain,
% 9.58/7.24 ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state1(s362, c_c1) | node1(s361) | node2(s361) | node3(s361)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28899, 892, 28893])).
% 9.58/7.24 tff(28901,plain,
% 9.58/7.24 (m_main_v_state1(s362, c_c1)),
% 9.58/7.24 inference(unit_resolution,[status(thm)],[28900, 28882, 28806, 28874, 28867, 28814])).
% 9.58/7.24 tff(28902,plain,
% 9.58/7.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))),
% 9.58/7.24 inference(rewrite,[status(thm)],[])).
% 9.58/7.24 tff(28903,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1)))),
% 9.58/7.24 inference(quant_inst,[status(thm)],[])).
% 9.58/7.24 tff(28904,plain,
% 9.58/7.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_t1)) | (~m_main_v_state1(s362, c_c1))),
% 9.58/7.24 inference(modus_ponens,[status(thm)],[28903, 28902])).
% 9.58/7.25 tff(28905,plain,
% 9.58/7.25 (~m_main_v_state1(s362, c_t1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28904, 539, 28901])).
% 9.58/7.25 tff(28906,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s362, c_t1) | (~node5(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s362, c_t1) | (~node5(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28907,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s362, c_t1) | (~node5(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28908,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s362, c_t1) | (~node5(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28907, 28906])).
% 9.58/7.25 tff(28909,plain,
% 9.58/7.25 (~node5(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28908, 550, 28905])).
% 9.58/7.25 tff(28910,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s361, s362)) | node14(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s361, s362)) | node14(s361, s362))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28911,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s361, s362)) | node14(s361, s362))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28912,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s361, s362)) | node14(s361, s362)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28911, 28910])).
% 9.58/7.25 tff(28913,plain,
% 9.58/7.25 (node14(s361, s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28912, 46, 28889])).
% 9.58/7.25 tff(28914,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28915,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28916,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | (~node14(s361, s362)) | m_main_v_state2(s362, c_t2)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28915, 28914])).
% 9.58/7.25 tff(28917,plain,
% 9.58/7.25 ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_state2(s362, c_t2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28916, 922, 28913])).
% 9.58/7.25 tff(28918,plain,
% 9.58/7.25 (m_main_v_state2(s362, c_t2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28917, 28874, 28806])).
% 9.58/7.25 tff(28919,plain,
% 9.58/7.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28920,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28921,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s362, c_n2)) | (~m_main_v_state2(s362, c_t2))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28920, 28919])).
% 9.58/7.25 tff(28922,plain,
% 9.58/7.25 (~m_main_v_state2(s362, c_n2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28921, 77, 28918])).
% 9.58/7.25 tff(28923,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s362, c_n2) | (~node4(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s362, c_n2) | (~node4(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28924,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s362, c_n2) | (~node4(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28925,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s362, c_n2) | (~node4(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28924, 28923])).
% 9.58/7.25 tff(28926,plain,
% 9.58/7.25 (~node4(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28925, 388, 28922])).
% 9.58/7.25 tff(28927,plain,
% 9.58/7.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28928,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28929,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s362, c_t2)) | (~m_main_v_state2(s362, c_c2))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28928, 28927])).
% 9.58/7.25 tff(28930,plain,
% 9.58/7.25 (~m_main_v_state2(s362, c_c2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28929, 260, 28918])).
% 9.58/7.25 tff(28931,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s362, c_c2) | (~node3(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s362, c_c2) | (~node3(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28932,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s362, c_c2) | (~node3(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28933,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s362, c_c2) | (~node3(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 9.58/7.25 tff(28934,plain,
% 9.58/7.25 (~node3(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28933, 399, 28930])).
% 9.58/7.25 tff(28935,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s362, c_n2) | (~node2(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s362, c_n2) | (~node2(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28936,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s362, c_n2) | (~node2(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28937,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s362, c_n2) | (~node2(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 9.58/7.25 tff(28938,plain,
% 9.58/7.25 (~node2(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28937, 410, 28922])).
% 9.58/7.25 tff(28939,plain,
% 9.58/7.25 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28940,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28941,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s362, c_n1)) | (~m_main_v_state1(s362, c_c1))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 9.58/7.25 tff(28942,plain,
% 9.58/7.25 (~m_main_v_state1(s362, c_n1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28941, 454, 28901])).
% 9.58/7.25 tff(28943,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s362, c_n1) | (~node1(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s362, c_n1) | (~node1(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28944,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s362, c_n1) | (~node1(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28945,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s362, c_n1) | (~node1(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 9.58/7.25 tff(28946,plain,
% 9.58/7.25 (~node1(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28945, 421, 28942])).
% 9.58/7.25 tff(28947,plain,
% 9.58/7.25 (succ(s362, s363) <=> succ(s362, s363)),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28948,axiom,(succ(s362, s363)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound363')).
% 9.58/7.25 tff(28949,plain,
% 9.58/7.25 (succ(s362, s363)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 9.58/7.25 tff(28950,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28951,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28952,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28951, 28950])).
% 9.58/7.25 tff(28953,plain,
% 9.58/7.25 (trans(s362, s363)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28952, 28949, 32])).
% 9.58/7.25 tff(28954,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s362, s363)) | node7(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s362, s363)) | node7(s362, s363))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28955,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s362, s363)) | node7(s362, s363))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28956,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s362, s363)) | node7(s362, s363)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28955, 28954])).
% 9.58/7.25 tff(28957,plain,
% 9.58/7.25 (node7(s362, s363)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28956, 206, 28953])).
% 9.58/7.25 tff(28958,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28959,plain,
% 9.58/7.25 (((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1)) <=> (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28960,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363))))),
% 9.58/7.25 inference(monotonicity,[status(thm)],[28959])).
% 9.58/7.25 tff(28961,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)))),
% 9.58/7.25 inference(transitivity,[status(thm)],[28960, 28958])).
% 9.58/7.25 tff(28962,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363)) | m_main_v_state1(s363, c_n1))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28963,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362) | (~node7(s362, s363))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28962, 28961])).
% 9.58/7.25 tff(28964,plain,
% 9.58/7.25 (m_main_v_state1(s363, c_n1) | (~m_main_v_state1(s362, c_c1)) | node1(s362) | node2(s362) | node3(s362) | node4(s362) | node5(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28963, 584, 28957])).
% 9.58/7.25 tff(28965,plain,
% 9.58/7.25 (m_main_v_state1(s363, c_n1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28964, 28946, 28901, 28938, 28934, 28926, 28909])).
% 9.58/7.25 tff(28966,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s361, c_t2) | (~node15(s361)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s361, c_t2) | (~node15(s361)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28967,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s361, c_t2) | (~node15(s361)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28968,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s361, c_t2) | (~node15(s361))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28967, 28966])).
% 9.58/7.25 tff(28969,plain,
% 9.58/7.25 (~node15(s361)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28968, 103, 28878])).
% 9.58/7.25 tff(28970,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s361, s362)) | node18(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s361, s362)) | node18(s361, s362))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28971,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s361, s362)) | node18(s361, s362))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28972,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s361, s362)) | node18(s361, s362)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28971, 28970])).
% 9.58/7.25 tff(28973,plain,
% 9.58/7.25 (node18(s361, s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28972, 125, 28889])).
% 9.58/7.25 tff(28974,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28975,plain,
% 9.58/7.25 (((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1)) <=> (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28976,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)))),
% 9.58/7.25 inference(monotonicity,[status(thm)],[28975])).
% 9.58/7.25 tff(28977,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1))),
% 9.58/7.25 inference(transitivity,[status(thm)],[28976, 28974])).
% 9.58/7.25 tff(28978,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | node15(s361) | (~node18(s361, s362)) | m_main_v_turn(s362, c_1))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28979,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s361) | (~node18(s361, s362)) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 9.58/7.25 tff(28980,plain,
% 9.58/7.25 (node15(s361) | (~m_main_v_state1(s361, c_t1)) | (~m_main_v_state2(s361, c_n2)) | m_main_v_turn(s362, c_1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28979, 992, 28973])).
% 9.58/7.25 tff(28981,plain,
% 9.58/7.25 (m_main_v_turn(s362, c_1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28980, 28969, 28806, 28874])).
% 9.58/7.25 tff(28982,plain,
% 9.58/7.25 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28983,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28984,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s362, c_1)) | (~m_main_v_turn(s362, c_2))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 9.58/7.25 tff(28985,plain,
% 9.58/7.25 (~m_main_v_turn(s362, c_2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28984, 156, 28981])).
% 9.58/7.25 tff(28986,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s362, c_2) | (~node12(s362)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s362, c_2) | (~node12(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28987,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s362, c_2) | (~node12(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28988,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s362, c_2) | (~node12(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 9.58/7.25 tff(28989,plain,
% 9.58/7.25 (~node12(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28988, 184, 28985])).
% 9.58/7.25 tff(28990,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s362, c_n2) | (~node8(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s362, c_n2) | (~node8(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28991,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s362, c_n2) | (~node8(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28992,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s362, c_n2) | (~node8(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28991, 28990])).
% 9.58/7.25 tff(28993,plain,
% 9.58/7.25 (~node8(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28992, 271, 28922])).
% 9.58/7.25 tff(28994,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s362, c_n2) | (~node9(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s362, c_n2) | (~node9(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28995,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s362, c_n2) | (~node9(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(28996,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s362, c_n2) | (~node9(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 9.58/7.25 tff(28997,plain,
% 9.58/7.25 (~node9(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[28996, 88, 28922])).
% 9.58/7.25 tff(28998,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s362, c_n2) | (~node10(s362)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s362, c_n2) | (~node10(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(28999,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s362, c_n2) | (~node10(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29000,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s362, c_n2) | (~node10(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 9.58/7.25 tff(29001,plain,
% 9.58/7.25 (~node10(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29000, 249, 28922])).
% 9.58/7.25 tff(29002,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s362, c_n1) | (~node11(s362)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s362, c_n1) | (~node11(s362)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29003,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s362, c_n1) | (~node11(s362)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29004,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s362, c_n1) | (~node11(s362))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 9.58/7.25 tff(29005,plain,
% 9.58/7.25 (~node11(s362)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29004, 238, 28942])).
% 9.58/7.25 tff(29006,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s362, s363)) | node14(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s362, s363)) | node14(s362, s363))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29007,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s362, s363)) | node14(s362, s363))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29008,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s362, s363)) | node14(s362, s363)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29007, 29006])).
% 9.58/7.25 tff(29009,plain,
% 9.58/7.25 (node14(s362, s363)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29008, 46, 28953])).
% 9.58/7.25 tff(29010,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29011,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29012,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363) | (~node14(s362, s363))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 9.58/7.25 tff(29013,plain,
% 9.58/7.25 (m_main_v_state2(s362, c_c2) | node9(s362) | node8(s362) | node10(s362) | node11(s362) | node12(s362) | node13(s362, s363)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29012, 296, 29009])).
% 9.58/7.25 tff(29014,plain,
% 9.58/7.25 (node13(s362, s363)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29013, 29005, 28930, 29001, 28997, 28993, 28989])).
% 9.58/7.25 tff(29015,plain,
% 9.58/7.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29016,plain,
% 9.58/7.25 (((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2)) <=> ((~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29017,plain,
% 9.58/7.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363))))),
% 9.58/7.25 inference(monotonicity,[status(thm)],[29016])).
% 9.58/7.25 tff(29018,plain,
% 9.58/7.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363)))),
% 9.58/7.25 inference(transitivity,[status(thm)],[29017, 29015])).
% 9.58/7.25 tff(29019,plain,
% 9.58/7.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s362, s363)) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29020,plain,
% 9.58/7.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s362, c_t2)) | m_main_v_state2(s363, c_t2) | (~node13(s362, s363))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29019, 29018])).
% 9.58/7.25 tff(29021,plain,
% 9.58/7.25 (m_main_v_state2(s363, c_t2)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29020, 518, 28918, 29014])).
% 9.58/7.25 tff(29022,plain,
% 9.58/7.25 (succ(s363, s364) <=> succ(s363, s364)),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29023,axiom,(succ(s363, s364)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound364')).
% 9.58/7.25 tff(29024,plain,
% 9.58/7.25 (succ(s363, s364)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29023, 29022])).
% 9.58/7.25 tff(29025,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29026,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29027,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29026, 29025])).
% 9.58/7.25 tff(29028,plain,
% 9.58/7.25 (trans(s363, s364)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29027, 29024, 32])).
% 9.58/7.25 tff(29029,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s363, s364)) | node7(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s363, s364)) | node7(s363, s364))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29030,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s363, s364)) | node7(s363, s364))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29031,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s363, s364)) | node7(s363, s364)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29030, 29029])).
% 9.58/7.25 tff(29032,plain,
% 9.58/7.25 (node7(s363, s364)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29031, 206, 29028])).
% 9.58/7.25 tff(29033,plain,
% 9.58/7.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29034,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29035,plain,
% 9.58/7.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node7(s363, s364)) | m_main_v_state1(s364, c_t1)),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29034, 29033])).
% 9.58/7.25 tff(29036,plain,
% 9.58/7.25 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | m_main_v_state1(s364, c_t1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29035, 651, 29032])).
% 9.58/7.25 tff(29037,plain,
% 9.58/7.25 (m_main_v_state1(s364, c_t1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29036, 29021, 28965])).
% 9.58/7.25 tff(29038,plain,
% 9.58/7.25 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29039,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29040,plain,
% 9.58/7.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s364, c_n1)) | (~m_main_v_state1(s364, c_t1))),
% 9.58/7.25 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 9.58/7.25 tff(29041,plain,
% 9.58/7.25 (~m_main_v_state1(s364, c_n1)),
% 9.58/7.25 inference(unit_resolution,[status(thm)],[29040, 10, 29037])).
% 9.58/7.25 tff(29042,plain,
% 9.58/7.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s364, c_n1) | (~node1(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s364, c_n1) | (~node1(s364)))),
% 9.58/7.25 inference(rewrite,[status(thm)],[])).
% 9.58/7.25 tff(29043,plain,
% 9.58/7.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s364, c_n1) | (~node1(s364)))),
% 9.58/7.25 inference(quant_inst,[status(thm)],[])).
% 9.58/7.25 tff(29044,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s364, c_n1) | (~node1(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29043, 29042])).
% 9.58/7.26 tff(29045,plain,
% 9.58/7.26 (~node1(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29044, 421, 29041])).
% 9.58/7.26 tff(29046,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s363, s364)) | node18(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s363, s364)) | node18(s363, s364))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29047,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s363, s364)) | node18(s363, s364))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29048,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s363, s364)) | node18(s363, s364)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 9.58/7.26 tff(29049,plain,
% 9.58/7.26 (node18(s363, s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29048, 125, 29028])).
% 9.58/7.26 tff(29050,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29051,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29052,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | (~node18(s363, s364)) | m_main_v_turn(s364, c_2)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 9.58/7.26 tff(29053,plain,
% 9.58/7.26 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | m_main_v_turn(s364, c_2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29052, 760, 29049])).
% 9.58/7.26 tff(29054,plain,
% 9.58/7.26 (m_main_v_turn(s364, c_2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29053, 29021, 28965])).
% 9.58/7.26 tff(29055,plain,
% 9.58/7.26 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29056,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29057,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s364, c_1)) | (~m_main_v_turn(s364, c_2))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 9.58/7.26 tff(29058,plain,
% 9.58/7.26 (~m_main_v_turn(s364, c_1)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29057, 156, 29054])).
% 9.58/7.26 tff(29059,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s364, c_1) | (~node5(s364)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s364, c_1) | (~node5(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29060,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s364, c_1) | (~node5(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29061,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s364, c_1) | (~node5(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 9.58/7.26 tff(29062,plain,
% 9.58/7.26 (~node5(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29061, 776, 29058])).
% 9.58/7.26 tff(29063,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s364, c_n1) | (~node2(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s364, c_n1) | (~node2(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29064,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s364, c_n1) | (~node2(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29065,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s364, c_n1) | (~node2(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 9.58/7.26 tff(29066,plain,
% 9.58/7.26 (~node2(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29065, 787, 29041])).
% 9.58/7.26 tff(29067,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s364, c_n1) | (~node3(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s364, c_n1) | (~node3(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29068,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s364, c_n1) | (~node3(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29069,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s364, c_n1) | (~node3(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 9.58/7.26 tff(29070,plain,
% 9.58/7.26 (~node3(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29069, 798, 29041])).
% 9.58/7.26 tff(29071,plain,
% 9.58/7.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29072,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29073,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s364, c_t1)) | (~m_main_v_state1(s364, c_c1))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 9.58/7.26 tff(29074,plain,
% 9.58/7.26 (~m_main_v_state1(s364, c_c1)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29073, 539, 29037])).
% 9.58/7.26 tff(29075,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29076,plain,
% 9.58/7.26 (((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2))) <=> (m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29077,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363))))),
% 9.58/7.26 inference(monotonicity,[status(thm)],[29076])).
% 9.58/7.26 tff(29078,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363)))),
% 9.58/7.26 inference(transitivity,[status(thm)],[29077, 29075])).
% 9.58/7.26 tff(29079,plain,
% 9.58/7.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s362, s363)) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29080,plain,
% 9.58/7.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s362, c_n2) | (~m_main_v_state2(s363, c_n2)) | (~node13(s362, s363))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29079, 29078])).
% 9.58/7.26 tff(29081,plain,
% 9.58/7.26 (~m_main_v_state2(s363, c_n2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29080, 311, 28922, 29014])).
% 9.58/7.26 tff(29082,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s363, c_n2) | (~node9(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s363, c_n2) | (~node9(s363)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29083,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s363, c_n2) | (~node9(s363)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29084,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s363, c_n2) | (~node9(s363))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29083, 29082])).
% 9.58/7.26 tff(29085,plain,
% 9.58/7.26 (~node9(s363)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29084, 88, 29081])).
% 9.58/7.26 tff(29086,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s363, c_n2) | (~node10(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s363, c_n2) | (~node10(s363)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29087,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s363, c_n2) | (~node10(s363)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29088,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s363, c_n2) | (~node10(s363))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29087, 29086])).
% 9.58/7.26 tff(29089,plain,
% 9.58/7.26 (~node10(s363)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29088, 249, 29081])).
% 9.58/7.26 tff(29090,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s363, c_n2) | (~node8(s363)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s363, c_n2) | (~node8(s363)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29091,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s363, c_n2) | (~node8(s363)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29092,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s363, c_n2) | (~node8(s363))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 9.58/7.26 tff(29093,plain,
% 9.58/7.26 (~node8(s363)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29092, 271, 29081])).
% 9.58/7.26 tff(29094,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s363, s364)) | node14(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s363, s364)) | node14(s363, s364))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29095,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s363, s364)) | node14(s363, s364))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29096,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s363, s364)) | node14(s363, s364)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29095, 29094])).
% 9.58/7.26 tff(29097,plain,
% 9.58/7.26 (node14(s363, s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29096, 46, 29028])).
% 9.58/7.26 tff(29098,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29099,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29100,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | (~node14(s363, s364)) | m_main_v_state2(s364, c_c2)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29099, 29098])).
% 9.58/7.26 tff(29101,plain,
% 9.58/7.26 ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state2(s363, c_t2)) | node9(s363) | node8(s363) | node10(s363) | m_main_v_state2(s364, c_c2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29100, 617, 29097])).
% 9.58/7.26 tff(29102,plain,
% 9.58/7.26 (m_main_v_state2(s364, c_c2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29101, 29093, 28965, 29021, 29089, 29085])).
% 9.58/7.26 tff(29103,plain,
% 9.58/7.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29104,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29105,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_n2)) | (~m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29104, 29103])).
% 9.58/7.26 tff(29106,plain,
% 9.58/7.26 (~m_main_v_state2(s364, c_n2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29105, 697, 29102])).
% 9.58/7.26 tff(29107,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s364, c_n2) | (~node4(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s364, c_n2) | (~node4(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29108,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s364, c_n2) | (~node4(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29109,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s364, c_n2) | (~node4(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 9.58/7.26 tff(29110,plain,
% 9.58/7.26 (~node4(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29109, 388, 29106])).
% 9.58/7.26 tff(29111,plain,
% 9.58/7.26 (succ(s364, s365) <=> succ(s364, s365)),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29112,axiom,(succ(s364, s365)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound365')).
% 9.58/7.26 tff(29113,plain,
% 9.58/7.26 (succ(s364, s365)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 9.58/7.26 tff(29114,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29115,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29116,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 9.58/7.26 tff(29117,plain,
% 9.58/7.26 (trans(s364, s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29116, 29113, 32])).
% 9.58/7.26 tff(29118,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s364, s365)) | node7(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s364, s365)) | node7(s364, s365))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29119,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s364, s365)) | node7(s364, s365))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29120,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s364, s365)) | node7(s364, s365)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29119, 29118])).
% 9.58/7.26 tff(29121,plain,
% 9.58/7.26 (node7(s364, s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29120, 206, 29117])).
% 9.58/7.26 tff(29122,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29123,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29124,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365) | (~node7(s364, s365))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 9.58/7.26 tff(29125,plain,
% 9.58/7.26 (m_main_v_state1(s364, c_c1) | node1(s364) | node2(s364) | node3(s364) | node4(s364) | node5(s364) | node6(s364, s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29124, 820, 29121])).
% 9.58/7.26 tff(29126,plain,
% 9.58/7.26 (node6(s364, s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29125, 29110, 29074, 29070, 29066, 29062, 29045])).
% 9.58/7.26 tff(29127,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29128,plain,
% 9.58/7.26 (((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1)) <=> ((~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29129,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365))))),
% 9.58/7.26 inference(monotonicity,[status(thm)],[29128])).
% 9.58/7.26 tff(29130,plain,
% 9.58/7.26 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365)))),
% 9.58/7.26 inference(transitivity,[status(thm)],[29129, 29127])).
% 9.58/7.26 tff(29131,plain,
% 9.58/7.26 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s364, s365)) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29132,plain,
% 9.58/7.26 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s364, c_t1)) | m_main_v_state1(s365, c_t1) | (~node6(s364, s365))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 9.58/7.26 tff(29133,plain,
% 9.58/7.26 (m_main_v_state1(s365, c_t1)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29132, 856, 29037, 29126])).
% 9.58/7.26 tff(29134,plain,
% 9.58/7.26 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29135,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29136,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s364, c_t2)) | (~m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 9.58/7.26 tff(29137,plain,
% 9.58/7.26 (~m_main_v_state2(s364, c_t2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29136, 260, 29102])).
% 9.58/7.26 tff(29138,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s364, c_t2) | (~node12(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s364, c_t2) | (~node12(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29139,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s364, c_t2) | (~node12(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29140,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s364, c_t2) | (~node12(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29139, 29138])).
% 9.58/7.26 tff(29141,plain,
% 9.58/7.26 (~node12(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29140, 633, 29137])).
% 9.58/7.26 tff(29142,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s364, c_n1) | (~node11(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s364, c_n1) | (~node11(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29143,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s364, c_n1) | (~node11(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29144,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s364, c_n1) | (~node11(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 9.58/7.26 tff(29145,plain,
% 9.58/7.26 (~node11(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29144, 238, 29041])).
% 9.58/7.26 tff(29146,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s364, c_c1) | (~node10(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s364, c_c1) | (~node10(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29147,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s364, c_c1) | (~node10(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29148,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s364, c_c1) | (~node10(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29147, 29146])).
% 9.58/7.26 tff(29149,plain,
% 9.58/7.26 (~node10(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29148, 675, 29074])).
% 9.58/7.26 tff(29150,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s364, c_n1) | (~node9(s364)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s364, c_n1) | (~node9(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29151,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s364, c_n1) | (~node9(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29152,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s364, c_n1) | (~node9(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 9.58/7.26 tff(29153,plain,
% 9.58/7.26 (~node9(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29152, 686, 29041])).
% 9.58/7.26 tff(29154,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s364, c_n2) | (~node8(s364)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s364, c_n2) | (~node8(s364)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29155,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s364, c_n2) | (~node8(s364)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29156,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s364, c_n2) | (~node8(s364))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 9.58/7.26 tff(29157,plain,
% 9.58/7.26 (~node8(s364)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29156, 271, 29106])).
% 9.58/7.26 tff(29158,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s364, s365)) | node14(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s364, s365)) | node14(s364, s365))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29159,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s364, s365)) | node14(s364, s365))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29160,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s364, s365)) | node14(s364, s365)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29159, 29158])).
% 9.58/7.26 tff(29161,plain,
% 9.58/7.26 (node14(s364, s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29160, 46, 29117])).
% 9.58/7.26 tff(29162,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29163,plain,
% 9.58/7.26 (((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2)) <=> (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29164,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2))))),
% 9.58/7.26 inference(monotonicity,[status(thm)],[29163])).
% 9.58/7.26 tff(29165,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2)))),
% 9.58/7.26 inference(transitivity,[status(thm)],[29164, 29162])).
% 9.58/7.26 tff(29166,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s364, c_c2)) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | m_main_v_state2(s365, c_n2))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29167,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~node14(s364, s365)) | (~m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29166, 29165])).
% 9.58/7.26 tff(29168,plain,
% 9.58/7.26 (m_main_v_state2(s365, c_n2) | node9(s364) | node8(s364) | node10(s364) | node11(s364) | node12(s364) | (~m_main_v_state2(s364, c_c2))),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29167, 726, 29161])).
% 9.58/7.26 tff(29169,plain,
% 9.58/7.26 (m_main_v_state2(s365, c_n2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29168, 29157, 29102, 29153, 29149, 29145, 29141])).
% 9.58/7.26 tff(29170,plain,
% 9.58/7.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29171,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29172,plain,
% 9.58/7.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_t2))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29171, 29170])).
% 9.58/7.26 tff(29173,plain,
% 9.58/7.26 (~m_main_v_state2(s365, c_t2)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29172, 77, 29169])).
% 9.58/7.26 tff(29174,plain,
% 9.58/7.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s365, c_t2) | (~node15(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s365, c_t2) | (~node15(s365)))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29175,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s365, c_t2) | (~node15(s365)))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29176,plain,
% 9.58/7.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s365, c_t2) | (~node15(s365))),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 9.58/7.26 tff(29177,plain,
% 9.58/7.26 (~node15(s365)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29176, 103, 29173])).
% 9.58/7.26 tff(29178,plain,
% 9.58/7.26 (succ(s365, s366) <=> succ(s365, s366)),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29179,axiom,(succ(s365, s366)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound366')).
% 9.58/7.26 tff(29180,plain,
% 9.58/7.26 (succ(s365, s366)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29179, 29178])).
% 9.58/7.26 tff(29181,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366))),
% 9.58/7.26 inference(rewrite,[status(thm)],[])).
% 9.58/7.26 tff(29182,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))),
% 9.58/7.26 inference(quant_inst,[status(thm)],[])).
% 9.58/7.26 tff(29183,plain,
% 9.58/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366)),
% 9.58/7.26 inference(modus_ponens,[status(thm)],[29182, 29181])).
% 9.58/7.26 tff(29184,plain,
% 9.58/7.26 (trans(s365, s366)),
% 9.58/7.26 inference(unit_resolution,[status(thm)],[29183, 29180, 32])).
% 9.58/7.26 tff(29185,plain,
% 9.58/7.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s365, s366)) | node18(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s365, s366)) | node18(s365, s366))),
% 9.58/7.27 inference(rewrite,[status(thm)],[])).
% 9.58/7.27 tff(29186,plain,
% 9.58/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s365, s366)) | node18(s365, s366))),
% 9.58/7.27 inference(quant_inst,[status(thm)],[])).
% 9.58/7.27 tff(29187,plain,
% 9.58/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s365, s366)) | node18(s365, s366)),
% 9.58/7.27 inference(modus_ponens,[status(thm)],[29186, 29185])).
% 9.58/7.27 tff(29188,plain,
% 9.58/7.27 (node18(s365, s366)),
% 9.58/7.27 inference(unit_resolution,[status(thm)],[29187, 125, 29184])).
% 9.58/7.27 tff(29189,plain,
% 9.58/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 9.58/7.27 inference(rewrite,[status(thm)],[])).
% 9.58/7.27 tff(29190,plain,
% 9.58/7.27 (((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1)) <=> (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 9.58/7.27 inference(rewrite,[status(thm)],[])).
% 9.58/7.27 tff(29191,plain,
% 9.58/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)))),
% 9.58/7.27 inference(monotonicity,[status(thm)],[29190])).
% 9.58/7.27 tff(29192,plain,
% 9.58/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1))),
% 9.58/7.27 inference(transitivity,[status(thm)],[29191, 29189])).
% 9.58/7.27 tff(29193,plain,
% 9.58/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node15(s365) | (~node18(s365, s366)) | m_main_v_turn(s366, c_1))),
% 9.58/7.27 inference(quant_inst,[status(thm)],[])).
% 9.58/7.27 tff(29194,plain,
% 9.58/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s365) | (~node18(s365, s366)) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)),
% 9.58/7.27 inference(modus_ponens,[status(thm)],[29193, 29192])).
% 9.58/7.27 tff(29195,plain,
% 9.58/7.27 (node15(s365) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_turn(s366, c_1)),
% 9.58/7.27 inference(unit_resolution,[status(thm)],[29194, 992, 29188])).
% 9.58/7.27 tff(29196,plain,
% 9.58/7.27 (m_main_v_turn(s366, c_1)),
% 9.58/7.27 inference(unit_resolution,[status(thm)],[29195, 29177, 29169, 29133])).
% 9.58/7.27 tff(29197,plain,
% 9.58/7.27 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))),
% 9.58/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29198,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29199,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s366, c_1)) | (~m_main_v_turn(s366, c_2))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29198, 29197])).
% 9.64/7.27 tff(29200,plain,
% 9.64/7.27 (~m_main_v_turn(s366, c_2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29199, 156, 29196])).
% 9.64/7.27 tff(29201,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s366, c_2) | (~node12(s366)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s366, c_2) | (~node12(s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29202,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s366, c_2) | (~node12(s366)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29203,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s366, c_2) | (~node12(s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 9.64/7.27 tff(29204,plain,
% 9.64/7.27 (~node12(s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29203, 184, 29200])).
% 9.64/7.27 tff(29205,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s365, s366)) | node14(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s365, s366)) | node14(s365, s366))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29206,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s365, s366)) | node14(s365, s366))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29207,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s365, s366)) | node14(s365, s366)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 9.64/7.27 tff(29208,plain,
% 9.64/7.27 (node14(s365, s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29207, 46, 29184])).
% 9.64/7.27 tff(29209,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29210,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29211,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | (~node14(s365, s366)) | m_main_v_state2(s366, c_t2)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29210, 29209])).
% 9.64/7.27 tff(29212,plain,
% 9.64/7.27 ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state2(s366, c_t2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29211, 922, 29208])).
% 9.64/7.27 tff(29213,plain,
% 9.64/7.27 (m_main_v_state2(s366, c_t2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29212, 29133, 29169])).
% 9.64/7.27 tff(29214,plain,
% 9.64/7.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29215,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29216,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s366, c_n2)) | (~m_main_v_state2(s366, c_t2))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29215, 29214])).
% 9.64/7.27 tff(29217,plain,
% 9.64/7.27 (~m_main_v_state2(s366, c_n2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29216, 77, 29213])).
% 9.64/7.27 tff(29218,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s366, c_n2) | (~node8(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s366, c_n2) | (~node8(s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29219,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s366, c_n2) | (~node8(s366)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29220,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s366, c_n2) | (~node8(s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29219, 29218])).
% 9.64/7.27 tff(29221,plain,
% 9.64/7.27 (~node8(s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29220, 271, 29217])).
% 9.64/7.27 tff(29222,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s366, c_n2) | (~node9(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s366, c_n2) | (~node9(s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29223,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s366, c_n2) | (~node9(s366)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29224,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s366, c_n2) | (~node9(s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29223, 29222])).
% 9.64/7.27 tff(29225,plain,
% 9.64/7.27 (~node9(s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29224, 88, 29217])).
% 9.64/7.27 tff(29226,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s366, c_n2) | (~node10(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s366, c_n2) | (~node10(s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29227,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s366, c_n2) | (~node10(s366)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29228,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s366, c_n2) | (~node10(s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29227, 29226])).
% 9.64/7.27 tff(29229,plain,
% 9.64/7.27 (~node10(s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29228, 249, 29217])).
% 9.64/7.27 tff(29230,plain,
% 9.64/7.27 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29231,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29232,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s366, c_t2)) | (~m_main_v_state2(s366, c_c2))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 9.64/7.27 tff(29233,plain,
% 9.64/7.27 (~m_main_v_state2(s366, c_c2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29232, 260, 29213])).
% 9.64/7.27 tff(29234,plain,
% 9.64/7.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29235,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29236,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s365, c_n2)) | (~m_main_v_state2(s365, c_c2))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29235, 29234])).
% 9.64/7.27 tff(29237,plain,
% 9.64/7.27 (~m_main_v_state2(s365, c_c2)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29236, 697, 29169])).
% 9.64/7.27 tff(29238,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s365, c_c2) | (~node3(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s365, c_c2) | (~node3(s365)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29239,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s365, c_c2) | (~node3(s365)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29240,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s365, c_c2) | (~node3(s365))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29239, 29238])).
% 9.64/7.27 tff(29241,plain,
% 9.64/7.27 (~node3(s365)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29240, 399, 29237])).
% 9.64/7.27 tff(29242,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29243,plain,
% 9.64/7.27 (((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1))) <=> (m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29244,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365))))),
% 9.64/7.27 inference(monotonicity,[status(thm)],[29243])).
% 9.64/7.27 tff(29245,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365)))),
% 9.64/7.27 inference(transitivity,[status(thm)],[29244, 29242])).
% 9.64/7.27 tff(29246,plain,
% 9.64/7.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s364, s365)) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29247,plain,
% 9.64/7.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s364, c_n1) | (~m_main_v_state1(s365, c_n1)) | (~node6(s364, s365))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29246, 29245])).
% 9.64/7.27 tff(29248,plain,
% 9.64/7.27 (~m_main_v_state1(s365, c_n1)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29247, 835, 29041, 29126])).
% 9.64/7.27 tff(29249,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s365, c_n1) | (~node2(s365)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s365, c_n1) | (~node2(s365)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29250,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s365, c_n1) | (~node2(s365)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29251,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s365, c_n1) | (~node2(s365))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29250, 29249])).
% 9.64/7.27 tff(29252,plain,
% 9.64/7.27 (~node2(s365)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29251, 787, 29248])).
% 9.64/7.27 tff(29253,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s365, c_t2) | (~node1(s365)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s365, c_t2) | (~node1(s365)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29254,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s365, c_t2) | (~node1(s365)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29255,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s365, c_t2) | (~node1(s365))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29254, 29253])).
% 9.64/7.27 tff(29256,plain,
% 9.64/7.27 (~node1(s365)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29255, 195, 29173])).
% 9.64/7.27 tff(29257,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s365, s366)) | node7(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s365, s366)) | node7(s365, s366))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29258,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s365, s366)) | node7(s365, s366))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29259,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s365, s366)) | node7(s365, s366)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 9.64/7.27 tff(29260,plain,
% 9.64/7.27 (node7(s365, s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29259, 206, 29184])).
% 9.64/7.27 tff(29261,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29262,plain,
% 9.64/7.27 (((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1)) <=> ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29263,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366))))),
% 9.64/7.27 inference(monotonicity,[status(thm)],[29262])).
% 9.64/7.27 tff(29264,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)))),
% 9.64/7.27 inference(transitivity,[status(thm)],[29263, 29261])).
% 9.64/7.27 tff(29265,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366)) | m_main_v_state1(s366, c_c1))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29266,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365) | (~node7(s365, s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29265, 29264])).
% 9.64/7.27 tff(29267,plain,
% 9.64/7.27 ((~m_main_v_state1(s365, c_t1)) | (~m_main_v_state2(s365, c_n2)) | m_main_v_state1(s366, c_c1) | node1(s365) | node2(s365) | node3(s365)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29266, 892, 29260])).
% 9.64/7.27 tff(29268,plain,
% 9.64/7.27 (m_main_v_state1(s366, c_c1)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29267, 29256, 29169, 29133, 29252, 29241])).
% 9.64/7.27 tff(29269,plain,
% 9.64/7.27 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29270,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29271,plain,
% 9.64/7.27 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_n1)) | (~m_main_v_state1(s366, c_c1))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29270, 29269])).
% 9.64/7.27 tff(29272,plain,
% 9.64/7.27 (~m_main_v_state1(s366, c_n1)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29271, 454, 29268])).
% 9.64/7.27 tff(29273,plain,
% 9.64/7.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s366, c_n1) | (~node11(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s366, c_n1) | (~node11(s366)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29274,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s366, c_n1) | (~node11(s366)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29275,plain,
% 9.64/7.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s366, c_n1) | (~node11(s366))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29274, 29273])).
% 9.64/7.27 tff(29276,plain,
% 9.64/7.27 (~node11(s366)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29275, 238, 29272])).
% 9.64/7.27 tff(29277,plain,
% 9.64/7.27 (succ(s366, s367) <=> succ(s366, s367)),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29278,axiom,(succ(s366, s367)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound367')).
% 9.64/7.27 tff(29279,plain,
% 9.64/7.27 (succ(s366, s367)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29278, 29277])).
% 9.64/7.27 tff(29280,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29281,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29282,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 9.64/7.27 tff(29283,plain,
% 9.64/7.27 (trans(s366, s367)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29282, 29279, 32])).
% 9.64/7.27 tff(29284,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s366, s367)) | node14(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s366, s367)) | node14(s366, s367))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29285,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s366, s367)) | node14(s366, s367))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29286,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s366, s367)) | node14(s366, s367)),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 9.64/7.27 tff(29287,plain,
% 9.64/7.27 (node14(s366, s367)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29286, 46, 29283])).
% 9.64/7.27 tff(29288,plain,
% 9.64/7.27 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29289,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29290,plain,
% 9.64/7.27 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367) | (~node14(s366, s367))),
% 9.64/7.27 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 9.64/7.27 tff(29291,plain,
% 9.64/7.27 (m_main_v_state2(s366, c_c2) | node9(s366) | node8(s366) | node10(s366) | node11(s366) | node12(s366) | node13(s366, s367)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29290, 296, 29287])).
% 9.64/7.27 tff(29292,plain,
% 9.64/7.27 (node13(s366, s367)),
% 9.64/7.27 inference(unit_resolution,[status(thm)],[29291, 29276, 29233, 29229, 29225, 29221, 29204])).
% 9.64/7.27 tff(29293,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29294,plain,
% 9.64/7.27 (((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2))) <=> (m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 9.64/7.27 inference(rewrite,[status(thm)],[])).
% 9.64/7.27 tff(29295,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367))))),
% 9.64/7.27 inference(monotonicity,[status(thm)],[29294])).
% 9.64/7.27 tff(29296,plain,
% 9.64/7.27 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367)))),
% 9.64/7.27 inference(transitivity,[status(thm)],[29295, 29293])).
% 9.64/7.27 tff(29297,plain,
% 9.64/7.27 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s366, s367)) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)))),
% 9.64/7.27 inference(quant_inst,[status(thm)],[])).
% 9.64/7.27 tff(29298,plain,
% 9.64/7.27 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s366, c_n2) | (~m_main_v_state2(s367, c_n2)) | (~node13(s366, s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29297, 29296])).
% 9.64/7.28 tff(29299,plain,
% 9.64/7.28 (~m_main_v_state2(s367, c_n2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29298, 311, 29217, 29292])).
% 9.64/7.28 tff(29300,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s367, c_n2) | (~node9(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s367, c_n2) | (~node9(s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29301,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s367, c_n2) | (~node9(s367)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29302,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s367, c_n2) | (~node9(s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29301, 29300])).
% 9.64/7.28 tff(29303,plain,
% 9.64/7.28 (~node9(s367)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29302, 88, 29299])).
% 9.64/7.28 tff(29304,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s367, c_n2) | (~node10(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s367, c_n2) | (~node10(s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29305,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s367, c_n2) | (~node10(s367)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29306,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s367, c_n2) | (~node10(s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29305, 29304])).
% 9.64/7.28 tff(29307,plain,
% 9.64/7.28 (~node10(s367)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29306, 249, 29299])).
% 9.64/7.28 tff(29308,plain,
% 9.64/7.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29309,plain,
% 9.64/7.28 (((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2)) <=> ((~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29310,plain,
% 9.64/7.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367))))),
% 9.64/7.28 inference(monotonicity,[status(thm)],[29309])).
% 9.64/7.28 tff(29311,plain,
% 9.64/7.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367)))),
% 9.64/7.28 inference(transitivity,[status(thm)],[29310, 29308])).
% 9.64/7.28 tff(29312,plain,
% 9.64/7.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s366, s367)) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29313,plain,
% 9.64/7.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s366, c_t2)) | m_main_v_state2(s367, c_t2) | (~node13(s366, s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 9.64/7.28 tff(29314,plain,
% 9.64/7.28 (m_main_v_state2(s367, c_t2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29313, 518, 29213, 29292])).
% 9.64/7.28 tff(29315,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29316,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29317,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s366, c_t1)) | (~m_main_v_state1(s366, c_c1))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 9.64/7.28 tff(29318,plain,
% 9.64/7.28 (~m_main_v_state1(s366, c_t1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29317, 539, 29268])).
% 9.64/7.28 tff(29319,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s366, c_t1) | (~node5(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s366, c_t1) | (~node5(s366)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29320,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s366, c_t1) | (~node5(s366)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29321,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s366, c_t1) | (~node5(s366))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 9.64/7.28 tff(29322,plain,
% 9.64/7.28 (~node5(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29321, 550, 29318])).
% 9.64/7.28 tff(29323,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s366, c_n2) | (~node4(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s366, c_n2) | (~node4(s366)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29324,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s366, c_n2) | (~node4(s366)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29325,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s366, c_n2) | (~node4(s366))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29324, 29323])).
% 9.64/7.28 tff(29326,plain,
% 9.64/7.28 (~node4(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29325, 388, 29217])).
% 9.64/7.28 tff(29327,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s366, c_c2) | (~node3(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s366, c_c2) | (~node3(s366)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29328,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s366, c_c2) | (~node3(s366)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29329,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s366, c_c2) | (~node3(s366))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 9.64/7.28 tff(29330,plain,
% 9.64/7.28 (~node3(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29329, 399, 29233])).
% 9.64/7.28 tff(29331,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s366, c_n2) | (~node2(s366)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s366, c_n2) | (~node2(s366)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29332,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s366, c_n2) | (~node2(s366)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29333,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s366, c_n2) | (~node2(s366))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29332, 29331])).
% 9.64/7.28 tff(29334,plain,
% 9.64/7.28 (~node2(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29333, 410, 29217])).
% 9.64/7.28 tff(29335,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s366, c_n1) | (~node1(s366)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s366, c_n1) | (~node1(s366)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29336,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s366, c_n1) | (~node1(s366)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29337,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s366, c_n1) | (~node1(s366))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29336, 29335])).
% 9.64/7.28 tff(29338,plain,
% 9.64/7.28 (~node1(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29337, 421, 29272])).
% 9.64/7.28 tff(29339,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s366, s367)) | node7(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s366, s367)) | node7(s366, s367))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29340,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s366, s367)) | node7(s366, s367))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29341,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s366, s367)) | node7(s366, s367)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29340, 29339])).
% 9.64/7.28 tff(29342,plain,
% 9.64/7.28 (node7(s366, s367)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29341, 206, 29283])).
% 9.64/7.28 tff(29343,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29344,plain,
% 9.64/7.28 (((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1)) <=> (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29345,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367))))),
% 9.64/7.28 inference(monotonicity,[status(thm)],[29344])).
% 9.64/7.28 tff(29346,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)))),
% 9.64/7.28 inference(transitivity,[status(thm)],[29345, 29343])).
% 9.64/7.28 tff(29347,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367)) | m_main_v_state1(s367, c_n1))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29348,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366) | (~node7(s366, s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 9.64/7.28 tff(29349,plain,
% 9.64/7.28 (m_main_v_state1(s367, c_n1) | (~m_main_v_state1(s366, c_c1)) | node1(s366) | node2(s366) | node3(s366) | node4(s366) | node5(s366)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29348, 584, 29342])).
% 9.64/7.28 tff(29350,plain,
% 9.64/7.28 (m_main_v_state1(s367, c_n1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29349, 29338, 29268, 29334, 29330, 29326, 29322])).
% 9.64/7.28 tff(29351,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s367, c_n2) | (~node8(s367)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s367, c_n2) | (~node8(s367)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29352,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s367, c_n2) | (~node8(s367)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29353,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s367, c_n2) | (~node8(s367))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 9.64/7.28 tff(29354,plain,
% 9.64/7.28 (~node8(s367)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29353, 271, 29299])).
% 9.64/7.28 tff(29355,plain,
% 9.64/7.28 (succ(s367, s368) <=> succ(s367, s368)),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29356,axiom,(succ(s367, s368)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound368')).
% 9.64/7.28 tff(29357,plain,
% 9.64/7.28 (succ(s367, s368)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 9.64/7.28 tff(29358,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29359,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29360,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29359, 29358])).
% 9.64/7.28 tff(29361,plain,
% 9.64/7.28 (trans(s367, s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29360, 29357, 32])).
% 9.64/7.28 tff(29362,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s367, s368)) | node14(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s367, s368)) | node14(s367, s368))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29363,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s367, s368)) | node14(s367, s368))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29364,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s367, s368)) | node14(s367, s368)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 9.64/7.28 tff(29365,plain,
% 9.64/7.28 (node14(s367, s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29364, 46, 29361])).
% 9.64/7.28 tff(29366,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29367,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29368,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | (~node14(s367, s368)) | m_main_v_state2(s368, c_c2)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29367, 29366])).
% 9.64/7.28 tff(29369,plain,
% 9.64/7.28 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | node9(s367) | node8(s367) | node10(s367) | m_main_v_state2(s368, c_c2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29368, 617, 29365])).
% 9.64/7.28 tff(29370,plain,
% 9.64/7.28 (m_main_v_state2(s368, c_c2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29369, 29354, 29350, 29314, 29307, 29303])).
% 9.64/7.28 tff(29371,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29372,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29373,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_t2)) | (~m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 9.64/7.28 tff(29374,plain,
% 9.64/7.28 (~m_main_v_state2(s368, c_t2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29373, 260, 29370])).
% 9.64/7.28 tff(29375,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s368, c_t2) | (~node12(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s368, c_t2) | (~node12(s368)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29376,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s368, c_t2) | (~node12(s368)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29377,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s368, c_t2) | (~node12(s368))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29376, 29375])).
% 9.64/7.28 tff(29378,plain,
% 9.64/7.28 (~node12(s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29377, 633, 29374])).
% 9.64/7.28 tff(29379,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s367, s368)) | node7(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s367, s368)) | node7(s367, s368))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29380,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s367, s368)) | node7(s367, s368))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29381,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s367, s368)) | node7(s367, s368)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29380, 29379])).
% 9.64/7.28 tff(29382,plain,
% 9.64/7.28 (node7(s367, s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29381, 206, 29361])).
% 9.64/7.28 tff(29383,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29384,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29385,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node7(s367, s368)) | m_main_v_state1(s368, c_t1)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29384, 29383])).
% 9.64/7.28 tff(29386,plain,
% 9.64/7.28 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | m_main_v_state1(s368, c_t1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29385, 651, 29382])).
% 9.64/7.28 tff(29387,plain,
% 9.64/7.28 (m_main_v_state1(s368, c_t1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29386, 29314, 29350])).
% 9.64/7.28 tff(29388,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29389,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29390,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s368, c_n1)) | (~m_main_v_state1(s368, c_t1))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29389, 29388])).
% 9.64/7.28 tff(29391,plain,
% 9.64/7.28 (~m_main_v_state1(s368, c_n1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29390, 10, 29387])).
% 9.64/7.28 tff(29392,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s368, c_n1) | (~node11(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s368, c_n1) | (~node11(s368)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29393,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s368, c_n1) | (~node11(s368)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29394,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s368, c_n1) | (~node11(s368))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29393, 29392])).
% 9.64/7.28 tff(29395,plain,
% 9.64/7.28 (~node11(s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29394, 238, 29391])).
% 9.64/7.28 tff(29396,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29397,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29398,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s368, c_t1)) | (~m_main_v_state1(s368, c_c1))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29397, 29396])).
% 9.64/7.28 tff(29399,plain,
% 9.64/7.28 (~m_main_v_state1(s368, c_c1)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29398, 539, 29387])).
% 9.64/7.28 tff(29400,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s368, c_c1) | (~node10(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s368, c_c1) | (~node10(s368)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29401,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s368, c_c1) | (~node10(s368)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29402,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s368, c_c1) | (~node10(s368))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29401, 29400])).
% 9.64/7.28 tff(29403,plain,
% 9.64/7.28 (~node10(s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29402, 675, 29399])).
% 9.64/7.28 tff(29404,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s368, c_n1) | (~node9(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s368, c_n1) | (~node9(s368)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29405,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s368, c_n1) | (~node9(s368)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29406,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s368, c_n1) | (~node9(s368))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 9.64/7.28 tff(29407,plain,
% 9.64/7.28 (~node9(s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29406, 686, 29391])).
% 9.64/7.28 tff(29408,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29409,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29410,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s368, c_n2)) | (~m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29409, 29408])).
% 9.64/7.28 tff(29411,plain,
% 9.64/7.28 (~m_main_v_state2(s368, c_n2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29410, 697, 29370])).
% 9.64/7.28 tff(29412,plain,
% 9.64/7.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s368, c_n2) | (~node8(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s368, c_n2) | (~node8(s368)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29413,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s368, c_n2) | (~node8(s368)))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29414,plain,
% 9.64/7.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s368, c_n2) | (~node8(s368))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 9.64/7.28 tff(29415,plain,
% 9.64/7.28 (~node8(s368)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29414, 271, 29411])).
% 9.64/7.28 tff(29416,plain,
% 9.64/7.28 (succ(s368, s369) <=> succ(s368, s369)),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29417,axiom,(succ(s368, s369)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound369')).
% 9.64/7.28 tff(29418,plain,
% 9.64/7.28 (succ(s368, s369)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 9.64/7.28 tff(29419,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29420,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29421,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29420, 29419])).
% 9.64/7.28 tff(29422,plain,
% 9.64/7.28 (trans(s368, s369)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29421, 29418, 32])).
% 9.64/7.28 tff(29423,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s368, s369)) | node14(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s368, s369)) | node14(s368, s369))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29424,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s368, s369)) | node14(s368, s369))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29425,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s368, s369)) | node14(s368, s369)),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29424, 29423])).
% 9.64/7.28 tff(29426,plain,
% 9.64/7.28 (node14(s368, s369)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29425, 46, 29422])).
% 9.64/7.28 tff(29427,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29428,plain,
% 9.64/7.28 (((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2)) <=> (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29429,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2))))),
% 9.64/7.28 inference(monotonicity,[status(thm)],[29428])).
% 9.64/7.28 tff(29430,plain,
% 9.64/7.28 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2)))),
% 9.64/7.28 inference(transitivity,[status(thm)],[29429, 29427])).
% 9.64/7.28 tff(29431,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s368, c_c2)) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | m_main_v_state2(s369, c_n2))),
% 9.64/7.28 inference(quant_inst,[status(thm)],[])).
% 9.64/7.28 tff(29432,plain,
% 9.64/7.28 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~node14(s368, s369)) | (~m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 9.64/7.28 tff(29433,plain,
% 9.64/7.28 (m_main_v_state2(s369, c_n2) | node9(s368) | node8(s368) | node10(s368) | node11(s368) | node12(s368) | (~m_main_v_state2(s368, c_c2))),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29432, 726, 29426])).
% 9.64/7.28 tff(29434,plain,
% 9.64/7.28 (m_main_v_state2(s369, c_n2)),
% 9.64/7.28 inference(unit_resolution,[status(thm)],[29433, 29415, 29370, 29407, 29403, 29395, 29378])).
% 9.64/7.28 tff(29435,plain,
% 9.64/7.28 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))),
% 9.64/7.28 inference(rewrite,[status(thm)],[])).
% 9.64/7.28 tff(29436,plain,
% 9.64/7.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29437,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_c2))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29436, 29435])).
% 9.64/7.29 tff(29438,plain,
% 9.64/7.29 (~m_main_v_state2(s369, c_c2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29437, 697, 29434])).
% 9.64/7.29 tff(29439,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s369, c_c2) | (~node3(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s369, c_c2) | (~node3(s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29440,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s369, c_c2) | (~node3(s369)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29441,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s369, c_c2) | (~node3(s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29440, 29439])).
% 9.64/7.29 tff(29442,plain,
% 9.64/7.29 (~node3(s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29441, 399, 29438])).
% 9.64/7.29 tff(29443,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s368, c_n1) | (~node1(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s368, c_n1) | (~node1(s368)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29444,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s368, c_n1) | (~node1(s368)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29445,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s368, c_n1) | (~node1(s368))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29444, 29443])).
% 9.64/7.29 tff(29446,plain,
% 9.64/7.29 (~node1(s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29445, 421, 29391])).
% 9.64/7.29 tff(29447,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s367, s368)) | node18(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s367, s368)) | node18(s367, s368))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29448,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s367, s368)) | node18(s367, s368))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29449,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s367, s368)) | node18(s367, s368)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 9.64/7.29 tff(29450,plain,
% 9.64/7.29 (node18(s367, s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29449, 125, 29361])).
% 9.64/7.29 tff(29451,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29452,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29453,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | (~node18(s367, s368)) | m_main_v_turn(s368, c_2)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29452, 29451])).
% 9.64/7.29 tff(29454,plain,
% 9.64/7.29 ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state2(s367, c_t2)) | m_main_v_turn(s368, c_2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29453, 760, 29450])).
% 9.64/7.29 tff(29455,plain,
% 9.64/7.29 (m_main_v_turn(s368, c_2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29454, 29314, 29350])).
% 9.64/7.29 tff(29456,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29457,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29458,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s368, c_1)) | (~m_main_v_turn(s368, c_2))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29457, 29456])).
% 9.64/7.29 tff(29459,plain,
% 9.64/7.29 (~m_main_v_turn(s368, c_1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29458, 156, 29455])).
% 9.64/7.29 tff(29460,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s368, c_1) | (~node5(s368)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s368, c_1) | (~node5(s368)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29461,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s368, c_1) | (~node5(s368)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29462,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s368, c_1) | (~node5(s368))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29461, 29460])).
% 9.64/7.29 tff(29463,plain,
% 9.64/7.29 (~node5(s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29462, 776, 29459])).
% 9.64/7.29 tff(29464,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s368, c_n1) | (~node2(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s368, c_n1) | (~node2(s368)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29465,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s368, c_n1) | (~node2(s368)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29466,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s368, c_n1) | (~node2(s368))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29465, 29464])).
% 9.64/7.29 tff(29467,plain,
% 9.64/7.29 (~node2(s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29466, 787, 29391])).
% 9.64/7.29 tff(29468,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s368, c_n1) | (~node3(s368)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s368, c_n1) | (~node3(s368)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29469,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s368, c_n1) | (~node3(s368)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29470,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s368, c_n1) | (~node3(s368))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 9.64/7.29 tff(29471,plain,
% 9.64/7.29 (~node3(s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29470, 798, 29391])).
% 9.64/7.29 tff(29472,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s368, c_n2) | (~node4(s368)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s368, c_n2) | (~node4(s368)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29473,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s368, c_n2) | (~node4(s368)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29474,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s368, c_n2) | (~node4(s368))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 9.64/7.29 tff(29475,plain,
% 9.64/7.29 (~node4(s368)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29474, 388, 29411])).
% 9.64/7.29 tff(29476,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s368, s369)) | node7(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s368, s369)) | node7(s368, s369))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29477,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s368, s369)) | node7(s368, s369))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29478,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s368, s369)) | node7(s368, s369)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29477, 29476])).
% 9.64/7.29 tff(29479,plain,
% 9.64/7.29 (node7(s368, s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29478, 206, 29422])).
% 9.64/7.29 tff(29480,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29481,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29482,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369) | (~node7(s368, s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29481, 29480])).
% 9.64/7.29 tff(29483,plain,
% 9.64/7.29 (m_main_v_state1(s368, c_c1) | node1(s368) | node2(s368) | node3(s368) | node4(s368) | node5(s368) | node6(s368, s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29482, 820, 29479])).
% 9.64/7.29 tff(29484,plain,
% 9.64/7.29 (node6(s368, s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29483, 29475, 29399, 29471, 29467, 29463, 29446])).
% 9.64/7.29 tff(29485,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29486,plain,
% 9.64/7.29 (((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1))) <=> (m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29487,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369))))),
% 9.64/7.29 inference(monotonicity,[status(thm)],[29486])).
% 9.64/7.29 tff(29488,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369)))),
% 9.64/7.29 inference(transitivity,[status(thm)],[29487, 29485])).
% 9.64/7.29 tff(29489,plain,
% 9.64/7.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s368, s369)) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29490,plain,
% 9.64/7.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s368, c_n1) | (~m_main_v_state1(s369, c_n1)) | (~node6(s368, s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29489, 29488])).
% 9.64/7.29 tff(29491,plain,
% 9.64/7.29 (~m_main_v_state1(s369, c_n1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29490, 835, 29391, 29484])).
% 9.64/7.29 tff(29492,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s369, c_n1) | (~node2(s369)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s369, c_n1) | (~node2(s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29493,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s369, c_n1) | (~node2(s369)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29494,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s369, c_n1) | (~node2(s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 9.64/7.29 tff(29495,plain,
% 9.64/7.29 (~node2(s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29494, 787, 29491])).
% 9.64/7.29 tff(29496,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29497,plain,
% 9.64/7.29 (((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1)) <=> ((~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29498,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369))))),
% 9.64/7.29 inference(monotonicity,[status(thm)],[29497])).
% 9.64/7.29 tff(29499,plain,
% 9.64/7.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369)))),
% 9.64/7.29 inference(transitivity,[status(thm)],[29498, 29496])).
% 9.64/7.29 tff(29500,plain,
% 9.64/7.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s368, s369)) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29501,plain,
% 9.64/7.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s368, c_t1)) | m_main_v_state1(s369, c_t1) | (~node6(s368, s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29500, 29499])).
% 9.64/7.29 tff(29502,plain,
% 9.64/7.29 (m_main_v_state1(s369, c_t1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29501, 856, 29387, 29484])).
% 9.64/7.29 tff(29503,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29504,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29505,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s369, c_n2)) | (~m_main_v_state2(s369, c_t2))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29504, 29503])).
% 9.64/7.29 tff(29506,plain,
% 9.64/7.29 (~m_main_v_state2(s369, c_t2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29505, 77, 29434])).
% 9.64/7.29 tff(29507,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s369, c_t2) | (~node1(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s369, c_t2) | (~node1(s369)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29508,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s369, c_t2) | (~node1(s369)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29509,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s369, c_t2) | (~node1(s369))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 9.64/7.29 tff(29510,plain,
% 9.64/7.29 (~node1(s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29509, 195, 29506])).
% 9.64/7.29 tff(29511,plain,
% 9.64/7.29 (succ(s369, s370) <=> succ(s369, s370)),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29512,axiom,(succ(s369, s370)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound370')).
% 9.64/7.29 tff(29513,plain,
% 9.64/7.29 (succ(s369, s370)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 9.64/7.29 tff(29514,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29515,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29516,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 9.64/7.29 tff(29517,plain,
% 9.64/7.29 (trans(s369, s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29516, 29513, 32])).
% 9.64/7.29 tff(29518,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s369, s370)) | node7(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s369, s370)) | node7(s369, s370))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29519,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s369, s370)) | node7(s369, s370))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29520,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s369, s370)) | node7(s369, s370)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29519, 29518])).
% 9.64/7.29 tff(29521,plain,
% 9.64/7.29 (node7(s369, s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29520, 206, 29517])).
% 9.64/7.29 tff(29522,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29523,plain,
% 9.64/7.29 (((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1)) <=> ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29524,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370))))),
% 9.64/7.29 inference(monotonicity,[status(thm)],[29523])).
% 9.64/7.29 tff(29525,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)))),
% 9.64/7.29 inference(transitivity,[status(thm)],[29524, 29522])).
% 9.64/7.29 tff(29526,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370)) | m_main_v_state1(s370, c_c1))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29527,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369) | (~node7(s369, s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 9.64/7.29 tff(29528,plain,
% 9.64/7.29 ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state1(s370, c_c1) | node1(s369) | node2(s369) | node3(s369)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29527, 892, 29521])).
% 9.64/7.29 tff(29529,plain,
% 9.64/7.29 (m_main_v_state1(s370, c_c1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29528, 29510, 29434, 29502, 29495, 29442])).
% 9.64/7.29 tff(29530,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29531,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29532,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_t1)) | (~m_main_v_state1(s370, c_c1))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 9.64/7.29 tff(29533,plain,
% 9.64/7.29 (~m_main_v_state1(s370, c_t1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29532, 539, 29529])).
% 9.64/7.29 tff(29534,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s370, c_t1) | (~node5(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s370, c_t1) | (~node5(s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29535,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s370, c_t1) | (~node5(s370)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29536,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s370, c_t1) | (~node5(s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 9.64/7.29 tff(29537,plain,
% 9.64/7.29 (~node5(s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29536, 550, 29533])).
% 9.64/7.29 tff(29538,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s369, s370)) | node14(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s369, s370)) | node14(s369, s370))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29539,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s369, s370)) | node14(s369, s370))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29540,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s369, s370)) | node14(s369, s370)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 9.64/7.29 tff(29541,plain,
% 9.64/7.29 (node14(s369, s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29540, 46, 29517])).
% 9.64/7.29 tff(29542,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29543,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29544,plain,
% 9.64/7.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | (~node14(s369, s370)) | m_main_v_state2(s370, c_t2)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 9.64/7.29 tff(29545,plain,
% 9.64/7.29 ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_state2(s370, c_t2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29544, 922, 29541])).
% 9.64/7.29 tff(29546,plain,
% 9.64/7.29 (m_main_v_state2(s370, c_t2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29545, 29502, 29434])).
% 9.64/7.29 tff(29547,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29548,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29549,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s370, c_n2)) | (~m_main_v_state2(s370, c_t2))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29548, 29547])).
% 9.64/7.29 tff(29550,plain,
% 9.64/7.29 (~m_main_v_state2(s370, c_n2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29549, 77, 29546])).
% 9.64/7.29 tff(29551,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s370, c_n2) | (~node4(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s370, c_n2) | (~node4(s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29552,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s370, c_n2) | (~node4(s370)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29553,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s370, c_n2) | (~node4(s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29552, 29551])).
% 9.64/7.29 tff(29554,plain,
% 9.64/7.29 (~node4(s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29553, 388, 29550])).
% 9.64/7.29 tff(29555,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29556,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29557,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s370, c_t2)) | (~m_main_v_state2(s370, c_c2))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 9.64/7.29 tff(29558,plain,
% 9.64/7.29 (~m_main_v_state2(s370, c_c2)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29557, 260, 29546])).
% 9.64/7.29 tff(29559,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s370, c_c2) | (~node3(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s370, c_c2) | (~node3(s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29560,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s370, c_c2) | (~node3(s370)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29561,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s370, c_c2) | (~node3(s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 9.64/7.29 tff(29562,plain,
% 9.64/7.29 (~node3(s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29561, 399, 29558])).
% 9.64/7.29 tff(29563,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s370, c_n2) | (~node2(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s370, c_n2) | (~node2(s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29564,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s370, c_n2) | (~node2(s370)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29565,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s370, c_n2) | (~node2(s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 9.64/7.29 tff(29566,plain,
% 9.64/7.29 (~node2(s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29565, 410, 29550])).
% 9.64/7.29 tff(29567,plain,
% 9.64/7.29 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29568,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29569,plain,
% 9.64/7.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s370, c_n1)) | (~m_main_v_state1(s370, c_c1))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29568, 29567])).
% 9.64/7.29 tff(29570,plain,
% 9.64/7.29 (~m_main_v_state1(s370, c_n1)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29569, 454, 29529])).
% 9.64/7.29 tff(29571,plain,
% 9.64/7.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s370, c_n1) | (~node1(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s370, c_n1) | (~node1(s370)))),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29572,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s370, c_n1) | (~node1(s370)))),
% 9.64/7.29 inference(quant_inst,[status(thm)],[])).
% 9.64/7.29 tff(29573,plain,
% 9.64/7.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s370, c_n1) | (~node1(s370))),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29572, 29571])).
% 9.64/7.29 tff(29574,plain,
% 9.64/7.29 (~node1(s370)),
% 9.64/7.29 inference(unit_resolution,[status(thm)],[29573, 421, 29570])).
% 9.64/7.29 tff(29575,plain,
% 9.64/7.29 (succ(s370, s371) <=> succ(s370, s371)),
% 9.64/7.29 inference(rewrite,[status(thm)],[])).
% 9.64/7.29 tff(29576,axiom,(succ(s370, s371)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound371')).
% 9.64/7.29 tff(29577,plain,
% 9.64/7.29 (succ(s370, s371)),
% 9.64/7.29 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 9.64/7.29 tff(29578,plain,
% 9.64/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29579,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29580,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29579, 29578])).
% 9.64/7.30 tff(29581,plain,
% 9.64/7.30 (trans(s370, s371)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29580, 29577, 32])).
% 9.64/7.30 tff(29582,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s370, s371)) | node7(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s370, s371)) | node7(s370, s371))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29583,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s370, s371)) | node7(s370, s371))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29584,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s370, s371)) | node7(s370, s371)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29583, 29582])).
% 9.64/7.30 tff(29585,plain,
% 9.64/7.30 (node7(s370, s371)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29584, 206, 29581])).
% 9.64/7.30 tff(29586,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29587,plain,
% 9.64/7.30 (((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1)) <=> (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29588,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371))))),
% 9.64/7.30 inference(monotonicity,[status(thm)],[29587])).
% 9.64/7.30 tff(29589,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)))),
% 9.64/7.30 inference(transitivity,[status(thm)],[29588, 29586])).
% 9.64/7.30 tff(29590,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371)) | m_main_v_state1(s371, c_n1))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29591,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370) | (~node7(s370, s371))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 9.64/7.30 tff(29592,plain,
% 9.64/7.30 (m_main_v_state1(s371, c_n1) | (~m_main_v_state1(s370, c_c1)) | node1(s370) | node2(s370) | node3(s370) | node4(s370) | node5(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29591, 584, 29585])).
% 9.64/7.30 tff(29593,plain,
% 9.64/7.30 (m_main_v_state1(s371, c_n1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29592, 29574, 29529, 29566, 29562, 29554, 29537])).
% 9.64/7.30 tff(29594,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s369, c_t2) | (~node15(s369)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s369, c_t2) | (~node15(s369)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29595,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s369, c_t2) | (~node15(s369)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29596,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s369, c_t2) | (~node15(s369))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 9.64/7.30 tff(29597,plain,
% 9.64/7.30 (~node15(s369)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29596, 103, 29506])).
% 9.64/7.30 tff(29598,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s369, s370)) | node18(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s369, s370)) | node18(s369, s370))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29599,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s369, s370)) | node18(s369, s370))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29600,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s369, s370)) | node18(s369, s370)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29599, 29598])).
% 9.64/7.30 tff(29601,plain,
% 9.64/7.30 (node18(s369, s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29600, 125, 29517])).
% 9.64/7.30 tff(29602,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29603,plain,
% 9.64/7.30 (((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1)) <=> (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29604,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)))),
% 9.64/7.30 inference(monotonicity,[status(thm)],[29603])).
% 9.64/7.30 tff(29605,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1))),
% 9.64/7.30 inference(transitivity,[status(thm)],[29604, 29602])).
% 9.64/7.30 tff(29606,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | node15(s369) | (~node18(s369, s370)) | m_main_v_turn(s370, c_1))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29607,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s369) | (~node18(s369, s370)) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29606, 29605])).
% 9.64/7.30 tff(29608,plain,
% 9.64/7.30 (node15(s369) | (~m_main_v_state1(s369, c_t1)) | (~m_main_v_state2(s369, c_n2)) | m_main_v_turn(s370, c_1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29607, 992, 29601])).
% 9.64/7.30 tff(29609,plain,
% 9.64/7.30 (m_main_v_turn(s370, c_1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29608, 29597, 29434, 29502])).
% 9.64/7.30 tff(29610,plain,
% 9.64/7.30 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29611,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29612,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s370, c_1)) | (~m_main_v_turn(s370, c_2))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29611, 29610])).
% 9.64/7.30 tff(29613,plain,
% 9.64/7.30 (~m_main_v_turn(s370, c_2)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29612, 156, 29609])).
% 9.64/7.30 tff(29614,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s370, c_2) | (~node12(s370)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s370, c_2) | (~node12(s370)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29615,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s370, c_2) | (~node12(s370)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29616,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s370, c_2) | (~node12(s370))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29615, 29614])).
% 9.64/7.30 tff(29617,plain,
% 9.64/7.30 (~node12(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29616, 184, 29613])).
% 9.64/7.30 tff(29618,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s370, c_n2) | (~node8(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s370, c_n2) | (~node8(s370)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29619,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s370, c_n2) | (~node8(s370)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29620,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s370, c_n2) | (~node8(s370))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 9.64/7.30 tff(29621,plain,
% 9.64/7.30 (~node8(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29620, 271, 29550])).
% 9.64/7.30 tff(29622,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s370, c_n2) | (~node9(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s370, c_n2) | (~node9(s370)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29623,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s370, c_n2) | (~node9(s370)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29624,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s370, c_n2) | (~node9(s370))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 9.64/7.30 tff(29625,plain,
% 9.64/7.30 (~node9(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29624, 88, 29550])).
% 9.64/7.30 tff(29626,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s370, c_n2) | (~node10(s370)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s370, c_n2) | (~node10(s370)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29627,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s370, c_n2) | (~node10(s370)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29628,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s370, c_n2) | (~node10(s370))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29627, 29626])).
% 9.64/7.30 tff(29629,plain,
% 9.64/7.30 (~node10(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29628, 249, 29550])).
% 9.64/7.30 tff(29630,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s370, c_n1) | (~node11(s370)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s370, c_n1) | (~node11(s370)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29631,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s370, c_n1) | (~node11(s370)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29632,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s370, c_n1) | (~node11(s370))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29631, 29630])).
% 9.64/7.30 tff(29633,plain,
% 9.64/7.30 (~node11(s370)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29632, 238, 29570])).
% 9.64/7.30 tff(29634,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s370, s371)) | node14(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s370, s371)) | node14(s370, s371))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29635,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s370, s371)) | node14(s370, s371))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29636,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s370, s371)) | node14(s370, s371)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29635, 29634])).
% 9.64/7.30 tff(29637,plain,
% 9.64/7.30 (node14(s370, s371)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29636, 46, 29581])).
% 9.64/7.30 tff(29638,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29639,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29640,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371) | (~node14(s370, s371))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 9.64/7.30 tff(29641,plain,
% 9.64/7.30 (m_main_v_state2(s370, c_c2) | node9(s370) | node8(s370) | node10(s370) | node11(s370) | node12(s370) | node13(s370, s371)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29640, 296, 29637])).
% 9.64/7.30 tff(29642,plain,
% 9.64/7.30 (node13(s370, s371)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29641, 29633, 29558, 29629, 29625, 29621, 29617])).
% 9.64/7.30 tff(29643,plain,
% 9.64/7.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29644,plain,
% 9.64/7.30 (((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2)) <=> ((~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29645,plain,
% 9.64/7.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371))))),
% 9.64/7.30 inference(monotonicity,[status(thm)],[29644])).
% 9.64/7.30 tff(29646,plain,
% 9.64/7.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371)))),
% 9.64/7.30 inference(transitivity,[status(thm)],[29645, 29643])).
% 9.64/7.30 tff(29647,plain,
% 9.64/7.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s370, s371)) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29648,plain,
% 9.64/7.30 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s370, c_t2)) | m_main_v_state2(s371, c_t2) | (~node13(s370, s371))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 9.64/7.30 tff(29649,plain,
% 9.64/7.30 (m_main_v_state2(s371, c_t2)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29648, 518, 29546, 29642])).
% 9.64/7.30 tff(29650,plain,
% 9.64/7.30 (succ(s371, s372) <=> succ(s371, s372)),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29651,axiom,(succ(s371, s372)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound372')).
% 9.64/7.30 tff(29652,plain,
% 9.64/7.30 (succ(s371, s372)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 9.64/7.30 tff(29653,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29654,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29655,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29654, 29653])).
% 9.64/7.30 tff(29656,plain,
% 9.64/7.30 (trans(s371, s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29655, 29652, 32])).
% 9.64/7.30 tff(29657,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s371, s372)) | node7(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s371, s372)) | node7(s371, s372))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29658,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s371, s372)) | node7(s371, s372))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29659,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s371, s372)) | node7(s371, s372)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29658, 29657])).
% 9.64/7.30 tff(29660,plain,
% 9.64/7.30 (node7(s371, s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29659, 206, 29656])).
% 9.64/7.30 tff(29661,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29662,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29663,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node7(s371, s372)) | m_main_v_state1(s372, c_t1)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29662, 29661])).
% 9.64/7.30 tff(29664,plain,
% 9.64/7.30 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | m_main_v_state1(s372, c_t1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29663, 651, 29660])).
% 9.64/7.30 tff(29665,plain,
% 9.64/7.30 (m_main_v_state1(s372, c_t1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29664, 29649, 29593])).
% 9.64/7.30 tff(29666,plain,
% 9.64/7.30 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29667,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29668,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s372, c_n1)) | (~m_main_v_state1(s372, c_t1))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29667, 29666])).
% 9.64/7.30 tff(29669,plain,
% 9.64/7.30 (~m_main_v_state1(s372, c_n1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29668, 10, 29665])).
% 9.64/7.30 tff(29670,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s372, c_n1) | (~node1(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s372, c_n1) | (~node1(s372)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29671,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s372, c_n1) | (~node1(s372)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29672,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s372, c_n1) | (~node1(s372))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29671, 29670])).
% 9.64/7.30 tff(29673,plain,
% 9.64/7.30 (~node1(s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29672, 421, 29669])).
% 9.64/7.30 tff(29674,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s371, s372)) | node18(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s371, s372)) | node18(s371, s372))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29675,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s371, s372)) | node18(s371, s372))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29676,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s371, s372)) | node18(s371, s372)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 9.64/7.30 tff(29677,plain,
% 9.64/7.30 (node18(s371, s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29676, 125, 29656])).
% 9.64/7.30 tff(29678,plain,
% 9.64/7.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29679,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29680,plain,
% 9.64/7.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | (~node18(s371, s372)) | m_main_v_turn(s372, c_2)),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 9.64/7.30 tff(29681,plain,
% 9.64/7.30 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | m_main_v_turn(s372, c_2)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29680, 760, 29677])).
% 9.64/7.30 tff(29682,plain,
% 9.64/7.30 (m_main_v_turn(s372, c_2)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29681, 29649, 29593])).
% 9.64/7.30 tff(29683,plain,
% 9.64/7.30 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29684,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29685,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s372, c_1)) | (~m_main_v_turn(s372, c_2))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29684, 29683])).
% 9.64/7.30 tff(29686,plain,
% 9.64/7.30 (~m_main_v_turn(s372, c_1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29685, 156, 29682])).
% 9.64/7.30 tff(29687,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s372, c_1) | (~node5(s372)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s372, c_1) | (~node5(s372)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29688,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s372, c_1) | (~node5(s372)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29689,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s372, c_1) | (~node5(s372))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 9.64/7.30 tff(29690,plain,
% 9.64/7.30 (~node5(s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29689, 776, 29686])).
% 9.64/7.30 tff(29691,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s372, c_n1) | (~node2(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s372, c_n1) | (~node2(s372)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29692,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s372, c_n1) | (~node2(s372)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29693,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s372, c_n1) | (~node2(s372))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29692, 29691])).
% 9.64/7.30 tff(29694,plain,
% 9.64/7.30 (~node2(s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29693, 787, 29669])).
% 9.64/7.30 tff(29695,plain,
% 9.64/7.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s372, c_n1) | (~node3(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s372, c_n1) | (~node3(s372)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29696,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s372, c_n1) | (~node3(s372)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29697,plain,
% 9.64/7.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s372, c_n1) | (~node3(s372))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29696, 29695])).
% 9.64/7.30 tff(29698,plain,
% 9.64/7.30 (~node3(s372)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29697, 798, 29669])).
% 9.64/7.30 tff(29699,plain,
% 9.64/7.30 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29700,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1)))),
% 9.64/7.30 inference(quant_inst,[status(thm)],[])).
% 9.64/7.30 tff(29701,plain,
% 9.64/7.30 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s372, c_t1)) | (~m_main_v_state1(s372, c_c1))),
% 9.64/7.30 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 9.64/7.30 tff(29702,plain,
% 9.64/7.30 (~m_main_v_state1(s372, c_c1)),
% 9.64/7.30 inference(unit_resolution,[status(thm)],[29701, 539, 29665])).
% 9.64/7.30 tff(29703,plain,
% 9.64/7.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29704,plain,
% 9.64/7.30 (((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2))) <=> (m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 9.64/7.30 inference(rewrite,[status(thm)],[])).
% 9.64/7.30 tff(29705,plain,
% 9.64/7.30 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371))))),
% 9.64/7.31 inference(monotonicity,[status(thm)],[29704])).
% 9.64/7.31 tff(29706,plain,
% 9.64/7.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371)))),
% 9.64/7.31 inference(transitivity,[status(thm)],[29705, 29703])).
% 9.64/7.31 tff(29707,plain,
% 9.64/7.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s370, s371)) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29708,plain,
% 9.64/7.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s370, c_n2) | (~m_main_v_state2(s371, c_n2)) | (~node13(s370, s371))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 9.64/7.31 tff(29709,plain,
% 9.64/7.31 (~m_main_v_state2(s371, c_n2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29708, 311, 29550, 29642])).
% 9.64/7.31 tff(29710,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s371, c_n2) | (~node9(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s371, c_n2) | (~node9(s371)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29711,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s371, c_n2) | (~node9(s371)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29712,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s371, c_n2) | (~node9(s371))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29711, 29710])).
% 9.64/7.31 tff(29713,plain,
% 9.64/7.31 (~node9(s371)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29712, 88, 29709])).
% 9.64/7.31 tff(29714,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s371, c_n2) | (~node10(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s371, c_n2) | (~node10(s371)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29715,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s371, c_n2) | (~node10(s371)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29716,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s371, c_n2) | (~node10(s371))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29715, 29714])).
% 9.64/7.31 tff(29717,plain,
% 9.64/7.31 (~node10(s371)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29716, 249, 29709])).
% 9.64/7.31 tff(29718,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s371, c_n2) | (~node8(s371)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s371, c_n2) | (~node8(s371)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29719,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s371, c_n2) | (~node8(s371)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29720,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s371, c_n2) | (~node8(s371))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29719, 29718])).
% 9.64/7.31 tff(29721,plain,
% 9.64/7.31 (~node8(s371)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29720, 271, 29709])).
% 9.64/7.31 tff(29722,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s371, s372)) | node14(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s371, s372)) | node14(s371, s372))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29723,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s371, s372)) | node14(s371, s372))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29724,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s371, s372)) | node14(s371, s372)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29723, 29722])).
% 9.64/7.31 tff(29725,plain,
% 9.64/7.31 (node14(s371, s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29724, 46, 29656])).
% 9.64/7.31 tff(29726,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29727,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29728,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | (~node14(s371, s372)) | m_main_v_state2(s372, c_c2)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29727, 29726])).
% 9.64/7.31 tff(29729,plain,
% 9.64/7.31 ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state2(s371, c_t2)) | node9(s371) | node8(s371) | node10(s371) | m_main_v_state2(s372, c_c2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29728, 617, 29725])).
% 9.64/7.31 tff(29730,plain,
% 9.64/7.31 (m_main_v_state2(s372, c_c2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29729, 29721, 29593, 29649, 29717, 29713])).
% 9.64/7.31 tff(29731,plain,
% 9.64/7.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29732,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29733,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_n2)) | (~m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29732, 29731])).
% 9.64/7.31 tff(29734,plain,
% 9.64/7.31 (~m_main_v_state2(s372, c_n2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29733, 697, 29730])).
% 9.64/7.31 tff(29735,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s372, c_n2) | (~node4(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s372, c_n2) | (~node4(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29736,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s372, c_n2) | (~node4(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29737,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s372, c_n2) | (~node4(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 9.64/7.31 tff(29738,plain,
% 9.64/7.31 (~node4(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29737, 388, 29734])).
% 9.64/7.31 tff(29739,plain,
% 9.64/7.31 (succ(s372, s373) <=> succ(s372, s373)),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29740,axiom,(succ(s372, s373)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound373')).
% 9.64/7.31 tff(29741,plain,
% 9.64/7.31 (succ(s372, s373)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 9.64/7.31 tff(29742,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29743,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29744,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29743, 29742])).
% 9.64/7.31 tff(29745,plain,
% 9.64/7.31 (trans(s372, s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29744, 29741, 32])).
% 9.64/7.31 tff(29746,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s372, s373)) | node7(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s372, s373)) | node7(s372, s373))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29747,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s372, s373)) | node7(s372, s373))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29748,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s372, s373)) | node7(s372, s373)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29747, 29746])).
% 9.64/7.31 tff(29749,plain,
% 9.64/7.31 (node7(s372, s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29748, 206, 29745])).
% 9.64/7.31 tff(29750,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29751,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29752,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373) | (~node7(s372, s373))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29751, 29750])).
% 9.64/7.31 tff(29753,plain,
% 9.64/7.31 (m_main_v_state1(s372, c_c1) | node1(s372) | node2(s372) | node3(s372) | node4(s372) | node5(s372) | node6(s372, s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29752, 820, 29749])).
% 9.64/7.31 tff(29754,plain,
% 9.64/7.31 (node6(s372, s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29753, 29738, 29702, 29698, 29694, 29690, 29673])).
% 9.64/7.31 tff(29755,plain,
% 9.64/7.31 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29756,plain,
% 9.64/7.31 (((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1)) <=> ((~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29757,plain,
% 9.64/7.31 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373))))),
% 9.64/7.31 inference(monotonicity,[status(thm)],[29756])).
% 9.64/7.31 tff(29758,plain,
% 9.64/7.31 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373)))),
% 9.64/7.31 inference(transitivity,[status(thm)],[29757, 29755])).
% 9.64/7.31 tff(29759,plain,
% 9.64/7.31 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s372, s373)) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29760,plain,
% 9.64/7.31 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s372, c_t1)) | m_main_v_state1(s373, c_t1) | (~node6(s372, s373))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 9.64/7.31 tff(29761,plain,
% 9.64/7.31 (m_main_v_state1(s373, c_t1)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29760, 856, 29665, 29754])).
% 9.64/7.31 tff(29762,plain,
% 9.64/7.31 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29763,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29764,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s372, c_t2)) | (~m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 9.64/7.31 tff(29765,plain,
% 9.64/7.31 (~m_main_v_state2(s372, c_t2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29764, 260, 29730])).
% 9.64/7.31 tff(29766,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s372, c_t2) | (~node12(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s372, c_t2) | (~node12(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29767,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s372, c_t2) | (~node12(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29768,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s372, c_t2) | (~node12(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 9.64/7.31 tff(29769,plain,
% 9.64/7.31 (~node12(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29768, 633, 29765])).
% 9.64/7.31 tff(29770,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s372, c_n1) | (~node11(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s372, c_n1) | (~node11(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29771,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s372, c_n1) | (~node11(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29772,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s372, c_n1) | (~node11(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29771, 29770])).
% 9.64/7.31 tff(29773,plain,
% 9.64/7.31 (~node11(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29772, 238, 29669])).
% 9.64/7.31 tff(29774,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s372, c_c1) | (~node10(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s372, c_c1) | (~node10(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29775,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s372, c_c1) | (~node10(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29776,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s372, c_c1) | (~node10(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 9.64/7.31 tff(29777,plain,
% 9.64/7.31 (~node10(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29776, 675, 29702])).
% 9.64/7.31 tff(29778,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s372, c_n1) | (~node9(s372)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s372, c_n1) | (~node9(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29779,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s372, c_n1) | (~node9(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29780,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s372, c_n1) | (~node9(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29779, 29778])).
% 9.64/7.31 tff(29781,plain,
% 9.64/7.31 (~node9(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29780, 686, 29669])).
% 9.64/7.31 tff(29782,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s372, c_n2) | (~node8(s372)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s372, c_n2) | (~node8(s372)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29783,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s372, c_n2) | (~node8(s372)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29784,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s372, c_n2) | (~node8(s372))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 9.64/7.31 tff(29785,plain,
% 9.64/7.31 (~node8(s372)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29784, 271, 29734])).
% 9.64/7.31 tff(29786,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s372, s373)) | node14(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s372, s373)) | node14(s372, s373))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29787,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s372, s373)) | node14(s372, s373))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29788,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s372, s373)) | node14(s372, s373)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 9.64/7.31 tff(29789,plain,
% 9.64/7.31 (node14(s372, s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29788, 46, 29745])).
% 9.64/7.31 tff(29790,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29791,plain,
% 9.64/7.31 (((~m_main_v_state2(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2)) <=> (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29792,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2))))),
% 9.64/7.31 inference(monotonicity,[status(thm)],[29791])).
% 9.64/7.31 tff(29793,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2)))),
% 9.64/7.31 inference(transitivity,[status(thm)],[29792, 29790])).
% 9.64/7.31 tff(29794,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s372, c_c2)) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | m_main_v_state2(s373, c_n2))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29795,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~node14(s372, s373)) | (~m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 9.64/7.31 tff(29796,plain,
% 9.64/7.31 (m_main_v_state2(s373, c_n2) | node9(s372) | node8(s372) | node10(s372) | node11(s372) | node12(s372) | (~m_main_v_state2(s372, c_c2))),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29795, 726, 29789])).
% 9.64/7.31 tff(29797,plain,
% 9.64/7.31 (m_main_v_state2(s373, c_n2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29796, 29785, 29730, 29781, 29777, 29773, 29769])).
% 9.64/7.31 tff(29798,plain,
% 9.64/7.31 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29799,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29800,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_t2))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 9.64/7.31 tff(29801,plain,
% 9.64/7.31 (~m_main_v_state2(s373, c_t2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29800, 77, 29797])).
% 9.64/7.31 tff(29802,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s373, c_t2) | (~node15(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s373, c_t2) | (~node15(s373)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29803,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s373, c_t2) | (~node15(s373)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29804,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s373, c_t2) | (~node15(s373))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 9.64/7.31 tff(29805,plain,
% 9.64/7.31 (~node15(s373)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29804, 103, 29801])).
% 9.64/7.31 tff(29806,plain,
% 9.64/7.31 (succ(s373, s374) <=> succ(s373, s374)),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29807,axiom,(succ(s373, s374)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound374')).
% 9.64/7.31 tff(29808,plain,
% 9.64/7.31 (succ(s373, s374)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29807, 29806])).
% 9.64/7.31 tff(29809,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29810,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29811,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29810, 29809])).
% 9.64/7.31 tff(29812,plain,
% 9.64/7.31 (trans(s373, s374)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29811, 29808, 32])).
% 9.64/7.31 tff(29813,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s373, s374)) | node18(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s373, s374)) | node18(s373, s374))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29814,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s373, s374)) | node18(s373, s374))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29815,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s373, s374)) | node18(s373, s374)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29814, 29813])).
% 9.64/7.31 tff(29816,plain,
% 9.64/7.31 (node18(s373, s374)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29815, 125, 29812])).
% 9.64/7.31 tff(29817,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29818,plain,
% 9.64/7.31 (((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1)) <=> (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29819,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)))),
% 9.64/7.31 inference(monotonicity,[status(thm)],[29818])).
% 9.64/7.31 tff(29820,plain,
% 9.64/7.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1))),
% 9.64/7.31 inference(transitivity,[status(thm)],[29819, 29817])).
% 9.64/7.31 tff(29821,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node15(s373) | (~node18(s373, s374)) | m_main_v_turn(s374, c_1))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29822,plain,
% 9.64/7.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s373) | (~node18(s373, s374)) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 9.64/7.31 tff(29823,plain,
% 9.64/7.31 (node15(s373) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_turn(s374, c_1)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29822, 992, 29816])).
% 9.64/7.31 tff(29824,plain,
% 9.64/7.31 (m_main_v_turn(s374, c_1)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29823, 29805, 29797, 29761])).
% 9.64/7.31 tff(29825,plain,
% 9.64/7.31 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29826,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29827,plain,
% 9.64/7.31 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s374, c_1)) | (~m_main_v_turn(s374, c_2))),
% 9.64/7.31 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 9.64/7.31 tff(29828,plain,
% 9.64/7.31 (~m_main_v_turn(s374, c_2)),
% 9.64/7.31 inference(unit_resolution,[status(thm)],[29827, 156, 29824])).
% 9.64/7.31 tff(29829,plain,
% 9.64/7.31 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s374, c_2) | (~node12(s374)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s374, c_2) | (~node12(s374)))),
% 9.64/7.31 inference(rewrite,[status(thm)],[])).
% 9.64/7.31 tff(29830,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s374, c_2) | (~node12(s374)))),
% 9.64/7.31 inference(quant_inst,[status(thm)],[])).
% 9.64/7.31 tff(29831,plain,
% 9.64/7.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s374, c_2) | (~node12(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29830, 29829])).
% 9.64/7.32 tff(29832,plain,
% 9.64/7.32 (~node12(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29831, 184, 29828])).
% 9.64/7.32 tff(29833,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s373, s374)) | node14(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s373, s374)) | node14(s373, s374))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29834,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s373, s374)) | node14(s373, s374))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29835,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s373, s374)) | node14(s373, s374)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29834, 29833])).
% 9.64/7.32 tff(29836,plain,
% 9.64/7.32 (node14(s373, s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29835, 46, 29812])).
% 9.64/7.32 tff(29837,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29838,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29839,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | (~node14(s373, s374)) | m_main_v_state2(s374, c_t2)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 9.64/7.32 tff(29840,plain,
% 9.64/7.32 ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state2(s374, c_t2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29839, 922, 29836])).
% 9.64/7.32 tff(29841,plain,
% 9.64/7.32 (m_main_v_state2(s374, c_t2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29840, 29761, 29797])).
% 9.64/7.32 tff(29842,plain,
% 9.64/7.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29843,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29844,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s374, c_n2)) | (~m_main_v_state2(s374, c_t2))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 9.64/7.32 tff(29845,plain,
% 9.64/7.32 (~m_main_v_state2(s374, c_n2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29844, 77, 29841])).
% 9.64/7.32 tff(29846,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s374, c_n2) | (~node8(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s374, c_n2) | (~node8(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29847,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s374, c_n2) | (~node8(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29848,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s374, c_n2) | (~node8(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 9.64/7.32 tff(29849,plain,
% 9.64/7.32 (~node8(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29848, 271, 29845])).
% 9.64/7.32 tff(29850,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s374, c_n2) | (~node9(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s374, c_n2) | (~node9(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29851,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s374, c_n2) | (~node9(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29852,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s374, c_n2) | (~node9(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29851, 29850])).
% 9.64/7.32 tff(29853,plain,
% 9.64/7.32 (~node9(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29852, 88, 29845])).
% 9.64/7.32 tff(29854,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s374, c_n2) | (~node10(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s374, c_n2) | (~node10(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29855,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s374, c_n2) | (~node10(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29856,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s374, c_n2) | (~node10(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29855, 29854])).
% 9.64/7.32 tff(29857,plain,
% 9.64/7.32 (~node10(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29856, 249, 29845])).
% 9.64/7.32 tff(29858,plain,
% 9.64/7.32 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29859,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29860,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s374, c_t2)) | (~m_main_v_state2(s374, c_c2))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29859, 29858])).
% 9.64/7.32 tff(29861,plain,
% 9.64/7.32 (~m_main_v_state2(s374, c_c2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29860, 260, 29841])).
% 9.64/7.32 tff(29862,plain,
% 9.64/7.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29863,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29864,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s373, c_n2)) | (~m_main_v_state2(s373, c_c2))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29863, 29862])).
% 9.64/7.32 tff(29865,plain,
% 9.64/7.32 (~m_main_v_state2(s373, c_c2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29864, 697, 29797])).
% 9.64/7.32 tff(29866,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s373, c_c2) | (~node3(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s373, c_c2) | (~node3(s373)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29867,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s373, c_c2) | (~node3(s373)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29868,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s373, c_c2) | (~node3(s373))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 9.64/7.32 tff(29869,plain,
% 9.64/7.32 (~node3(s373)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29868, 399, 29865])).
% 9.64/7.32 tff(29870,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29871,plain,
% 9.64/7.32 (((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1))) <=> (m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29872,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373))))),
% 9.64/7.32 inference(monotonicity,[status(thm)],[29871])).
% 9.64/7.32 tff(29873,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373)))),
% 9.64/7.32 inference(transitivity,[status(thm)],[29872, 29870])).
% 9.64/7.32 tff(29874,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s372, s373)) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29875,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s372, c_n1) | (~m_main_v_state1(s373, c_n1)) | (~node6(s372, s373))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29874, 29873])).
% 9.64/7.32 tff(29876,plain,
% 9.64/7.32 (~m_main_v_state1(s373, c_n1)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29875, 835, 29669, 29754])).
% 9.64/7.32 tff(29877,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s373, c_n1) | (~node2(s373)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s373, c_n1) | (~node2(s373)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29878,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s373, c_n1) | (~node2(s373)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29879,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s373, c_n1) | (~node2(s373))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29878, 29877])).
% 9.64/7.32 tff(29880,plain,
% 9.64/7.32 (~node2(s373)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29879, 787, 29876])).
% 9.64/7.32 tff(29881,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s373, c_t2) | (~node1(s373)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s373, c_t2) | (~node1(s373)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29882,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s373, c_t2) | (~node1(s373)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29883,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s373, c_t2) | (~node1(s373))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29882, 29881])).
% 9.64/7.32 tff(29884,plain,
% 9.64/7.32 (~node1(s373)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29883, 195, 29801])).
% 9.64/7.32 tff(29885,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s373, s374)) | node7(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s373, s374)) | node7(s373, s374))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29886,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s373, s374)) | node7(s373, s374))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29887,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s373, s374)) | node7(s373, s374)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 9.64/7.32 tff(29888,plain,
% 9.64/7.32 (node7(s373, s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29887, 206, 29812])).
% 9.64/7.32 tff(29889,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29890,plain,
% 9.64/7.32 (((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1)) <=> ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29891,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374))))),
% 9.64/7.32 inference(monotonicity,[status(thm)],[29890])).
% 9.64/7.32 tff(29892,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)))),
% 9.64/7.32 inference(transitivity,[status(thm)],[29891, 29889])).
% 9.64/7.32 tff(29893,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374)) | m_main_v_state1(s374, c_c1))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29894,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373) | (~node7(s373, s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 9.64/7.32 tff(29895,plain,
% 9.64/7.32 ((~m_main_v_state1(s373, c_t1)) | (~m_main_v_state2(s373, c_n2)) | m_main_v_state1(s374, c_c1) | node1(s373) | node2(s373) | node3(s373)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29894, 892, 29888])).
% 9.64/7.32 tff(29896,plain,
% 9.64/7.32 (m_main_v_state1(s374, c_c1)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29895, 29884, 29797, 29761, 29880, 29869])).
% 9.64/7.32 tff(29897,plain,
% 9.64/7.32 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29898,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29899,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_n1)) | (~m_main_v_state1(s374, c_c1))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 9.64/7.32 tff(29900,plain,
% 9.64/7.32 (~m_main_v_state1(s374, c_n1)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29899, 454, 29896])).
% 9.64/7.32 tff(29901,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s374, c_n1) | (~node11(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s374, c_n1) | (~node11(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29902,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s374, c_n1) | (~node11(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29903,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s374, c_n1) | (~node11(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29902, 29901])).
% 9.64/7.32 tff(29904,plain,
% 9.64/7.32 (~node11(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29903, 238, 29900])).
% 9.64/7.32 tff(29905,plain,
% 9.64/7.32 (succ(s374, s375) <=> succ(s374, s375)),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29906,axiom,(succ(s374, s375)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound375')).
% 9.64/7.32 tff(29907,plain,
% 9.64/7.32 (succ(s374, s375)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 9.64/7.32 tff(29908,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29909,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29910,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29909, 29908])).
% 9.64/7.32 tff(29911,plain,
% 9.64/7.32 (trans(s374, s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29910, 29907, 32])).
% 9.64/7.32 tff(29912,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s374, s375)) | node14(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s374, s375)) | node14(s374, s375))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29913,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s374, s375)) | node14(s374, s375))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29914,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s374, s375)) | node14(s374, s375)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29913, 29912])).
% 9.64/7.32 tff(29915,plain,
% 9.64/7.32 (node14(s374, s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29914, 46, 29911])).
% 9.64/7.32 tff(29916,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29917,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29918,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375) | (~node14(s374, s375))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 9.64/7.32 tff(29919,plain,
% 9.64/7.32 (m_main_v_state2(s374, c_c2) | node9(s374) | node8(s374) | node10(s374) | node11(s374) | node12(s374) | node13(s374, s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29918, 296, 29915])).
% 9.64/7.32 tff(29920,plain,
% 9.64/7.32 (node13(s374, s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29919, 29904, 29861, 29857, 29853, 29849, 29832])).
% 9.64/7.32 tff(29921,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29922,plain,
% 9.64/7.32 (((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2))) <=> (m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29923,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375))))),
% 9.64/7.32 inference(monotonicity,[status(thm)],[29922])).
% 9.64/7.32 tff(29924,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375)))),
% 9.64/7.32 inference(transitivity,[status(thm)],[29923, 29921])).
% 9.64/7.32 tff(29925,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s374, s375)) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29926,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s374, c_n2) | (~m_main_v_state2(s375, c_n2)) | (~node13(s374, s375))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29925, 29924])).
% 9.64/7.32 tff(29927,plain,
% 9.64/7.32 (~m_main_v_state2(s375, c_n2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29926, 311, 29845, 29920])).
% 9.64/7.32 tff(29928,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s375, c_n2) | (~node9(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s375, c_n2) | (~node9(s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29929,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s375, c_n2) | (~node9(s375)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29930,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s375, c_n2) | (~node9(s375))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29929, 29928])).
% 9.64/7.32 tff(29931,plain,
% 9.64/7.32 (~node9(s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29930, 88, 29927])).
% 9.64/7.32 tff(29932,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s375, c_n2) | (~node10(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s375, c_n2) | (~node10(s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29933,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s375, c_n2) | (~node10(s375)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29934,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s375, c_n2) | (~node10(s375))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 9.64/7.32 tff(29935,plain,
% 9.64/7.32 (~node10(s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29934, 249, 29927])).
% 9.64/7.32 tff(29936,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29937,plain,
% 9.64/7.32 (((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2)) <=> ((~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29938,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375))))),
% 9.64/7.32 inference(monotonicity,[status(thm)],[29937])).
% 9.64/7.32 tff(29939,plain,
% 9.64/7.32 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375)))),
% 9.64/7.32 inference(transitivity,[status(thm)],[29938, 29936])).
% 9.64/7.32 tff(29940,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s374, s375)) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29941,plain,
% 9.64/7.32 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s374, c_t2)) | m_main_v_state2(s375, c_t2) | (~node13(s374, s375))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29940, 29939])).
% 9.64/7.32 tff(29942,plain,
% 9.64/7.32 (m_main_v_state2(s375, c_t2)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29941, 518, 29841, 29920])).
% 9.64/7.32 tff(29943,plain,
% 9.64/7.32 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29944,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29945,plain,
% 9.64/7.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s374, c_t1)) | (~m_main_v_state1(s374, c_c1))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29944, 29943])).
% 9.64/7.32 tff(29946,plain,
% 9.64/7.32 (~m_main_v_state1(s374, c_t1)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29945, 539, 29896])).
% 9.64/7.32 tff(29947,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s374, c_t1) | (~node5(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s374, c_t1) | (~node5(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29948,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s374, c_t1) | (~node5(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29949,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s374, c_t1) | (~node5(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 9.64/7.32 tff(29950,plain,
% 9.64/7.32 (~node5(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29949, 550, 29946])).
% 9.64/7.32 tff(29951,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s374, c_n2) | (~node4(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s374, c_n2) | (~node4(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29952,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s374, c_n2) | (~node4(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29953,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s374, c_n2) | (~node4(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29952, 29951])).
% 9.64/7.32 tff(29954,plain,
% 9.64/7.32 (~node4(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29953, 388, 29845])).
% 9.64/7.32 tff(29955,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s374, c_c2) | (~node3(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s374, c_c2) | (~node3(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29956,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s374, c_c2) | (~node3(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29957,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s374, c_c2) | (~node3(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29956, 29955])).
% 9.64/7.32 tff(29958,plain,
% 9.64/7.32 (~node3(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29957, 399, 29861])).
% 9.64/7.32 tff(29959,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s374, c_n2) | (~node2(s374)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s374, c_n2) | (~node2(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29960,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s374, c_n2) | (~node2(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29961,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s374, c_n2) | (~node2(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 9.64/7.32 tff(29962,plain,
% 9.64/7.32 (~node2(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29961, 410, 29845])).
% 9.64/7.32 tff(29963,plain,
% 9.64/7.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s374, c_n1) | (~node1(s374)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s374, c_n1) | (~node1(s374)))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29964,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s374, c_n1) | (~node1(s374)))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29965,plain,
% 9.64/7.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s374, c_n1) | (~node1(s374))),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29964, 29963])).
% 9.64/7.32 tff(29966,plain,
% 9.64/7.32 (~node1(s374)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29965, 421, 29900])).
% 9.64/7.32 tff(29967,plain,
% 9.64/7.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s374, s375)) | node7(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s374, s375)) | node7(s374, s375))),
% 9.64/7.32 inference(rewrite,[status(thm)],[])).
% 9.64/7.32 tff(29968,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s374, s375)) | node7(s374, s375))),
% 9.64/7.32 inference(quant_inst,[status(thm)],[])).
% 9.64/7.32 tff(29969,plain,
% 9.64/7.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s374, s375)) | node7(s374, s375)),
% 9.64/7.32 inference(modus_ponens,[status(thm)],[29968, 29967])).
% 9.64/7.32 tff(29970,plain,
% 9.64/7.32 (node7(s374, s375)),
% 9.64/7.32 inference(unit_resolution,[status(thm)],[29969, 206, 29911])).
% 9.64/7.33 tff(29971,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29972,plain,
% 9.64/7.33 (((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1)) <=> (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29973,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375))))),
% 9.64/7.33 inference(monotonicity,[status(thm)],[29972])).
% 9.64/7.33 tff(29974,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)))),
% 9.64/7.33 inference(transitivity,[status(thm)],[29973, 29971])).
% 9.64/7.33 tff(29975,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375)) | m_main_v_state1(s375, c_n1))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(29976,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374) | (~node7(s374, s375))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 9.64/7.33 tff(29977,plain,
% 9.64/7.33 (m_main_v_state1(s375, c_n1) | (~m_main_v_state1(s374, c_c1)) | node1(s374) | node2(s374) | node3(s374) | node4(s374) | node5(s374)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29976, 584, 29970])).
% 9.64/7.33 tff(29978,plain,
% 9.64/7.33 (m_main_v_state1(s375, c_n1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29977, 29966, 29896, 29962, 29958, 29954, 29950])).
% 9.64/7.33 tff(29979,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s375, c_n2) | (~node8(s375)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s375, c_n2) | (~node8(s375)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29980,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s375, c_n2) | (~node8(s375)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(29981,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s375, c_n2) | (~node8(s375))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29980, 29979])).
% 9.64/7.33 tff(29982,plain,
% 9.64/7.33 (~node8(s375)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29981, 271, 29927])).
% 9.64/7.33 tff(29983,plain,
% 9.64/7.33 (succ(s375, s376) <=> succ(s375, s376)),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29984,axiom,(succ(s375, s376)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound376')).
% 9.64/7.33 tff(29985,plain,
% 9.64/7.33 (succ(s375, s376)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29984, 29983])).
% 9.64/7.33 tff(29986,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29987,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(29988,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 9.64/7.33 tff(29989,plain,
% 9.64/7.33 (trans(s375, s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29988, 29985, 32])).
% 9.64/7.33 tff(29990,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s375, s376)) | node14(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s375, s376)) | node14(s375, s376))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29991,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s375, s376)) | node14(s375, s376))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(29992,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s375, s376)) | node14(s375, s376)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29991, 29990])).
% 9.64/7.33 tff(29993,plain,
% 9.64/7.33 (node14(s375, s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29992, 46, 29989])).
% 9.64/7.33 tff(29994,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(29995,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(29996,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | (~node14(s375, s376)) | m_main_v_state2(s376, c_c2)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 9.64/7.33 tff(29997,plain,
% 9.64/7.33 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | node9(s375) | node8(s375) | node10(s375) | m_main_v_state2(s376, c_c2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29996, 617, 29993])).
% 9.64/7.33 tff(29998,plain,
% 9.64/7.33 (m_main_v_state2(s376, c_c2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[29997, 29982, 29978, 29942, 29935, 29931])).
% 9.64/7.33 tff(29999,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30000,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30001,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_t2)) | (~m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 9.64/7.33 tff(30002,plain,
% 9.64/7.33 (~m_main_v_state2(s376, c_t2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30001, 260, 29998])).
% 9.64/7.33 tff(30003,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s376, c_t2) | (~node12(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s376, c_t2) | (~node12(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30004,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s376, c_t2) | (~node12(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30005,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s376, c_t2) | (~node12(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 9.64/7.33 tff(30006,plain,
% 9.64/7.33 (~node12(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30005, 633, 30002])).
% 9.64/7.33 tff(30007,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s375, s376)) | node7(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s375, s376)) | node7(s375, s376))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30008,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s375, s376)) | node7(s375, s376))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30009,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s375, s376)) | node7(s375, s376)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30008, 30007])).
% 9.64/7.33 tff(30010,plain,
% 9.64/7.33 (node7(s375, s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30009, 206, 29989])).
% 9.64/7.33 tff(30011,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30012,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30013,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node7(s375, s376)) | m_main_v_state1(s376, c_t1)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 9.64/7.33 tff(30014,plain,
% 9.64/7.33 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | m_main_v_state1(s376, c_t1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30013, 651, 30010])).
% 9.64/7.33 tff(30015,plain,
% 9.64/7.33 (m_main_v_state1(s376, c_t1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30014, 29942, 29978])).
% 9.64/7.33 tff(30016,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30017,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30018,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s376, c_n1)) | (~m_main_v_state1(s376, c_t1))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30017, 30016])).
% 9.64/7.33 tff(30019,plain,
% 9.64/7.33 (~m_main_v_state1(s376, c_n1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30018, 10, 30015])).
% 9.64/7.33 tff(30020,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s376, c_n1) | (~node11(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s376, c_n1) | (~node11(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30021,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s376, c_n1) | (~node11(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30022,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s376, c_n1) | (~node11(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 9.64/7.33 tff(30023,plain,
% 9.64/7.33 (~node11(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30022, 238, 30019])).
% 9.64/7.33 tff(30024,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30025,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30026,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s376, c_t1)) | (~m_main_v_state1(s376, c_c1))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 9.64/7.33 tff(30027,plain,
% 9.64/7.33 (~m_main_v_state1(s376, c_c1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30026, 539, 30015])).
% 9.64/7.33 tff(30028,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s376, c_c1) | (~node10(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s376, c_c1) | (~node10(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30029,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s376, c_c1) | (~node10(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30030,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s376, c_c1) | (~node10(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 9.64/7.33 tff(30031,plain,
% 9.64/7.33 (~node10(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30030, 675, 30027])).
% 9.64/7.33 tff(30032,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s376, c_n1) | (~node9(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s376, c_n1) | (~node9(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30033,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s376, c_n1) | (~node9(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30034,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s376, c_n1) | (~node9(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 9.64/7.33 tff(30035,plain,
% 9.64/7.33 (~node9(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30034, 686, 30019])).
% 9.64/7.33 tff(30036,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30037,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30038,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s376, c_n2)) | (~m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 9.64/7.33 tff(30039,plain,
% 9.64/7.33 (~m_main_v_state2(s376, c_n2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30038, 697, 29998])).
% 9.64/7.33 tff(30040,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s376, c_n2) | (~node8(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s376, c_n2) | (~node8(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30041,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s376, c_n2) | (~node8(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30042,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s376, c_n2) | (~node8(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 9.64/7.33 tff(30043,plain,
% 9.64/7.33 (~node8(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30042, 271, 30039])).
% 9.64/7.33 tff(30044,plain,
% 9.64/7.33 (succ(s376, s377) <=> succ(s376, s377)),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30045,axiom,(succ(s376, s377)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound377')).
% 9.64/7.33 tff(30046,plain,
% 9.64/7.33 (succ(s376, s377)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30045, 30044])).
% 9.64/7.33 tff(30047,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30048,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30049,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30048, 30047])).
% 9.64/7.33 tff(30050,plain,
% 9.64/7.33 (trans(s376, s377)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30049, 30046, 32])).
% 9.64/7.33 tff(30051,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s376, s377)) | node14(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s376, s377)) | node14(s376, s377))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30052,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s376, s377)) | node14(s376, s377))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30053,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s376, s377)) | node14(s376, s377)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 9.64/7.33 tff(30054,plain,
% 9.64/7.33 (node14(s376, s377)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30053, 46, 30050])).
% 9.64/7.33 tff(30055,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30056,plain,
% 9.64/7.33 (((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2)) <=> (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30057,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2))))),
% 9.64/7.33 inference(monotonicity,[status(thm)],[30056])).
% 9.64/7.33 tff(30058,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2)))),
% 9.64/7.33 inference(transitivity,[status(thm)],[30057, 30055])).
% 9.64/7.33 tff(30059,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s376, c_c2)) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | m_main_v_state2(s377, c_n2))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30060,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~node14(s376, s377)) | (~m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30059, 30058])).
% 9.64/7.33 tff(30061,plain,
% 9.64/7.33 (m_main_v_state2(s377, c_n2) | node9(s376) | node8(s376) | node10(s376) | node11(s376) | node12(s376) | (~m_main_v_state2(s376, c_c2))),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30060, 726, 30054])).
% 9.64/7.33 tff(30062,plain,
% 9.64/7.33 (m_main_v_state2(s377, c_n2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30061, 30043, 29998, 30035, 30031, 30023, 30006])).
% 9.64/7.33 tff(30063,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30064,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30065,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_c2))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 9.64/7.33 tff(30066,plain,
% 9.64/7.33 (~m_main_v_state2(s377, c_c2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30065, 697, 30062])).
% 9.64/7.33 tff(30067,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s377, c_c2) | (~node3(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s377, c_c2) | (~node3(s377)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30068,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s377, c_c2) | (~node3(s377)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30069,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s377, c_c2) | (~node3(s377))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30068, 30067])).
% 9.64/7.33 tff(30070,plain,
% 9.64/7.33 (~node3(s377)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30069, 399, 30066])).
% 9.64/7.33 tff(30071,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s376, c_n1) | (~node1(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s376, c_n1) | (~node1(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30072,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s376, c_n1) | (~node1(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30073,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s376, c_n1) | (~node1(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 9.64/7.33 tff(30074,plain,
% 9.64/7.33 (~node1(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30073, 421, 30019])).
% 9.64/7.33 tff(30075,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s375, s376)) | node18(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s375, s376)) | node18(s375, s376))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30076,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s375, s376)) | node18(s375, s376))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30077,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s375, s376)) | node18(s375, s376)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 9.64/7.33 tff(30078,plain,
% 9.64/7.33 (node18(s375, s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30077, 125, 29989])).
% 9.64/7.33 tff(30079,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30080,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30081,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | (~node18(s375, s376)) | m_main_v_turn(s376, c_2)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 9.64/7.33 tff(30082,plain,
% 9.64/7.33 ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state2(s375, c_t2)) | m_main_v_turn(s376, c_2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30081, 760, 30078])).
% 9.64/7.33 tff(30083,plain,
% 9.64/7.33 (m_main_v_turn(s376, c_2)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30082, 29942, 29978])).
% 9.64/7.33 tff(30084,plain,
% 9.64/7.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30085,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30086,plain,
% 9.64/7.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s376, c_1)) | (~m_main_v_turn(s376, c_2))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 9.64/7.33 tff(30087,plain,
% 9.64/7.33 (~m_main_v_turn(s376, c_1)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30086, 156, 30083])).
% 9.64/7.33 tff(30088,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s376, c_1) | (~node5(s376)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s376, c_1) | (~node5(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30089,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s376, c_1) | (~node5(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30090,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s376, c_1) | (~node5(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30089, 30088])).
% 9.64/7.33 tff(30091,plain,
% 9.64/7.33 (~node5(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30090, 776, 30087])).
% 9.64/7.33 tff(30092,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s376, c_n1) | (~node2(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s376, c_n1) | (~node2(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30093,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s376, c_n1) | (~node2(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30094,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s376, c_n1) | (~node2(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30093, 30092])).
% 9.64/7.33 tff(30095,plain,
% 9.64/7.33 (~node2(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30094, 787, 30019])).
% 9.64/7.33 tff(30096,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s376, c_n1) | (~node3(s376)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s376, c_n1) | (~node3(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30097,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s376, c_n1) | (~node3(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30098,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s376, c_n1) | (~node3(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30097, 30096])).
% 9.64/7.33 tff(30099,plain,
% 9.64/7.33 (~node3(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30098, 798, 30019])).
% 9.64/7.33 tff(30100,plain,
% 9.64/7.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s376, c_n2) | (~node4(s376)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s376, c_n2) | (~node4(s376)))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30101,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s376, c_n2) | (~node4(s376)))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30102,plain,
% 9.64/7.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s376, c_n2) | (~node4(s376))),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30101, 30100])).
% 9.64/7.33 tff(30103,plain,
% 9.64/7.33 (~node4(s376)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30102, 388, 30039])).
% 9.64/7.33 tff(30104,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s376, s377)) | node7(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s376, s377)) | node7(s376, s377))),
% 9.64/7.33 inference(rewrite,[status(thm)],[])).
% 9.64/7.33 tff(30105,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s376, s377)) | node7(s376, s377))),
% 9.64/7.33 inference(quant_inst,[status(thm)],[])).
% 9.64/7.33 tff(30106,plain,
% 9.64/7.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s376, s377)) | node7(s376, s377)),
% 9.64/7.33 inference(modus_ponens,[status(thm)],[30105, 30104])).
% 9.64/7.33 tff(30107,plain,
% 9.64/7.33 (node7(s376, s377)),
% 9.64/7.33 inference(unit_resolution,[status(thm)],[30106, 206, 30050])).
% 9.64/7.33 tff(30108,plain,
% 9.64/7.33 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30109,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30110,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377) | (~node7(s376, s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30109, 30108])).
% 9.64/7.34 tff(30111,plain,
% 9.64/7.34 (m_main_v_state1(s376, c_c1) | node1(s376) | node2(s376) | node3(s376) | node4(s376) | node5(s376) | node6(s376, s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30110, 820, 30107])).
% 9.64/7.34 tff(30112,plain,
% 9.64/7.34 (node6(s376, s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30111, 30103, 30027, 30099, 30095, 30091, 30074])).
% 9.64/7.34 tff(30113,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30114,plain,
% 9.64/7.34 (((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1))) <=> (m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30115,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377))))),
% 9.64/7.34 inference(monotonicity,[status(thm)],[30114])).
% 9.64/7.34 tff(30116,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377)))),
% 9.64/7.34 inference(transitivity,[status(thm)],[30115, 30113])).
% 9.64/7.34 tff(30117,plain,
% 9.64/7.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s376, s377)) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30118,plain,
% 9.64/7.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s376, c_n1) | (~m_main_v_state1(s377, c_n1)) | (~node6(s376, s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 9.64/7.34 tff(30119,plain,
% 9.64/7.34 (~m_main_v_state1(s377, c_n1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30118, 835, 30019, 30112])).
% 9.64/7.34 tff(30120,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s377, c_n1) | (~node2(s377)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s377, c_n1) | (~node2(s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30121,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s377, c_n1) | (~node2(s377)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30122,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s377, c_n1) | (~node2(s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30121, 30120])).
% 9.64/7.34 tff(30123,plain,
% 9.64/7.34 (~node2(s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30122, 787, 30119])).
% 9.64/7.34 tff(30124,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30125,plain,
% 9.64/7.34 (((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1)) <=> ((~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30126,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377))))),
% 9.64/7.34 inference(monotonicity,[status(thm)],[30125])).
% 9.64/7.34 tff(30127,plain,
% 9.64/7.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377)))),
% 9.64/7.34 inference(transitivity,[status(thm)],[30126, 30124])).
% 9.64/7.34 tff(30128,plain,
% 9.64/7.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s376, s377)) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30129,plain,
% 9.64/7.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s376, c_t1)) | m_main_v_state1(s377, c_t1) | (~node6(s376, s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 9.64/7.34 tff(30130,plain,
% 9.64/7.34 (m_main_v_state1(s377, c_t1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30129, 856, 30015, 30112])).
% 9.64/7.34 tff(30131,plain,
% 9.64/7.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30132,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30133,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s377, c_n2)) | (~m_main_v_state2(s377, c_t2))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30132, 30131])).
% 9.64/7.34 tff(30134,plain,
% 9.64/7.34 (~m_main_v_state2(s377, c_t2)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30133, 77, 30062])).
% 9.64/7.34 tff(30135,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s377, c_t2) | (~node1(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s377, c_t2) | (~node1(s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30136,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s377, c_t2) | (~node1(s377)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30137,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s377, c_t2) | (~node1(s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30136, 30135])).
% 9.64/7.34 tff(30138,plain,
% 9.64/7.34 (~node1(s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30137, 195, 30134])).
% 9.64/7.34 tff(30139,plain,
% 9.64/7.34 (succ(s377, s378) <=> succ(s377, s378)),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30140,axiom,(succ(s377, s378)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound378')).
% 9.64/7.34 tff(30141,plain,
% 9.64/7.34 (succ(s377, s378)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30140, 30139])).
% 9.64/7.34 tff(30142,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30143,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30144,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30143, 30142])).
% 9.64/7.34 tff(30145,plain,
% 9.64/7.34 (trans(s377, s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30144, 30141, 32])).
% 9.64/7.34 tff(30146,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s377, s378)) | node7(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s377, s378)) | node7(s377, s378))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30147,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s377, s378)) | node7(s377, s378))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30148,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s377, s378)) | node7(s377, s378)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 9.64/7.34 tff(30149,plain,
% 9.64/7.34 (node7(s377, s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30148, 206, 30145])).
% 9.64/7.34 tff(30150,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30151,plain,
% 9.64/7.34 (((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1)) <=> ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30152,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378))))),
% 9.64/7.34 inference(monotonicity,[status(thm)],[30151])).
% 9.64/7.34 tff(30153,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)))),
% 9.64/7.34 inference(transitivity,[status(thm)],[30152, 30150])).
% 9.64/7.34 tff(30154,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378)) | m_main_v_state1(s378, c_c1))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30155,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377) | (~node7(s377, s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 9.64/7.34 tff(30156,plain,
% 9.64/7.34 ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state1(s378, c_c1) | node1(s377) | node2(s377) | node3(s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30155, 892, 30149])).
% 9.64/7.34 tff(30157,plain,
% 9.64/7.34 (m_main_v_state1(s378, c_c1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30156, 30138, 30062, 30130, 30123, 30070])).
% 9.64/7.34 tff(30158,plain,
% 9.64/7.34 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30159,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30160,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_t1)) | (~m_main_v_state1(s378, c_c1))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 9.64/7.34 tff(30161,plain,
% 9.64/7.34 (~m_main_v_state1(s378, c_t1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30160, 539, 30157])).
% 9.64/7.34 tff(30162,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s378, c_t1) | (~node5(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s378, c_t1) | (~node5(s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30163,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s378, c_t1) | (~node5(s378)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30164,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s378, c_t1) | (~node5(s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 9.64/7.34 tff(30165,plain,
% 9.64/7.34 (~node5(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30164, 550, 30161])).
% 9.64/7.34 tff(30166,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s377, s378)) | node14(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s377, s378)) | node14(s377, s378))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30167,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s377, s378)) | node14(s377, s378))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30168,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s377, s378)) | node14(s377, s378)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 9.64/7.34 tff(30169,plain,
% 9.64/7.34 (node14(s377, s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30168, 46, 30145])).
% 9.64/7.34 tff(30170,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30171,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30172,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | (~node14(s377, s378)) | m_main_v_state2(s378, c_t2)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 9.64/7.34 tff(30173,plain,
% 9.64/7.34 ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_state2(s378, c_t2)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30172, 922, 30169])).
% 9.64/7.34 tff(30174,plain,
% 9.64/7.34 (m_main_v_state2(s378, c_t2)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30173, 30130, 30062])).
% 9.64/7.34 tff(30175,plain,
% 9.64/7.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30176,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30177,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s378, c_n2)) | (~m_main_v_state2(s378, c_t2))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30176, 30175])).
% 9.64/7.34 tff(30178,plain,
% 9.64/7.34 (~m_main_v_state2(s378, c_n2)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30177, 77, 30174])).
% 9.64/7.34 tff(30179,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s378, c_n2) | (~node4(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s378, c_n2) | (~node4(s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30180,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s378, c_n2) | (~node4(s378)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30181,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s378, c_n2) | (~node4(s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30180, 30179])).
% 9.64/7.34 tff(30182,plain,
% 9.64/7.34 (~node4(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30181, 388, 30178])).
% 9.64/7.34 tff(30183,plain,
% 9.64/7.34 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30184,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30185,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s378, c_t2)) | (~m_main_v_state2(s378, c_c2))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 9.64/7.34 tff(30186,plain,
% 9.64/7.34 (~m_main_v_state2(s378, c_c2)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30185, 260, 30174])).
% 9.64/7.34 tff(30187,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s378, c_c2) | (~node3(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s378, c_c2) | (~node3(s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30188,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s378, c_c2) | (~node3(s378)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30189,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s378, c_c2) | (~node3(s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 9.64/7.34 tff(30190,plain,
% 9.64/7.34 (~node3(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30189, 399, 30186])).
% 9.64/7.34 tff(30191,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s378, c_n2) | (~node2(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s378, c_n2) | (~node2(s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30192,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s378, c_n2) | (~node2(s378)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30193,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s378, c_n2) | (~node2(s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 9.64/7.34 tff(30194,plain,
% 9.64/7.34 (~node2(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30193, 410, 30178])).
% 9.64/7.34 tff(30195,plain,
% 9.64/7.34 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30196,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30197,plain,
% 9.64/7.34 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s378, c_n1)) | (~m_main_v_state1(s378, c_c1))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 9.64/7.34 tff(30198,plain,
% 9.64/7.34 (~m_main_v_state1(s378, c_n1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30197, 454, 30157])).
% 9.64/7.34 tff(30199,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s378, c_n1) | (~node1(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s378, c_n1) | (~node1(s378)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30200,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s378, c_n1) | (~node1(s378)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30201,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s378, c_n1) | (~node1(s378))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30200, 30199])).
% 9.64/7.34 tff(30202,plain,
% 9.64/7.34 (~node1(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30201, 421, 30198])).
% 9.64/7.34 tff(30203,plain,
% 9.64/7.34 (succ(s378, s379) <=> succ(s378, s379)),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30204,axiom,(succ(s378, s379)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound379')).
% 9.64/7.34 tff(30205,plain,
% 9.64/7.34 (succ(s378, s379)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30204, 30203])).
% 9.64/7.34 tff(30206,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30207,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30208,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30207, 30206])).
% 9.64/7.34 tff(30209,plain,
% 9.64/7.34 (trans(s378, s379)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30208, 30205, 32])).
% 9.64/7.34 tff(30210,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s378, s379)) | node7(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s378, s379)) | node7(s378, s379))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30211,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s378, s379)) | node7(s378, s379))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30212,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s378, s379)) | node7(s378, s379)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30211, 30210])).
% 9.64/7.34 tff(30213,plain,
% 9.64/7.34 (node7(s378, s379)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30212, 206, 30209])).
% 9.64/7.34 tff(30214,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30215,plain,
% 9.64/7.34 (((~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1)) <=> (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30216,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379))))),
% 9.64/7.34 inference(monotonicity,[status(thm)],[30215])).
% 9.64/7.34 tff(30217,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)))),
% 9.64/7.34 inference(transitivity,[status(thm)],[30216, 30214])).
% 9.64/7.34 tff(30218,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379)) | m_main_v_state1(s379, c_n1))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30219,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378) | (~node7(s378, s379))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30218, 30217])).
% 9.64/7.34 tff(30220,plain,
% 9.64/7.34 (m_main_v_state1(s379, c_n1) | (~m_main_v_state1(s378, c_c1)) | node1(s378) | node2(s378) | node3(s378) | node4(s378) | node5(s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30219, 584, 30213])).
% 9.64/7.34 tff(30221,plain,
% 9.64/7.34 (m_main_v_state1(s379, c_n1)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30220, 30202, 30157, 30194, 30190, 30182, 30165])).
% 9.64/7.34 tff(30222,plain,
% 9.64/7.34 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s377, c_t2) | (~node15(s377)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s377, c_t2) | (~node15(s377)))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30223,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s377, c_t2) | (~node15(s377)))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30224,plain,
% 9.64/7.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s377, c_t2) | (~node15(s377))),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30223, 30222])).
% 9.64/7.34 tff(30225,plain,
% 9.64/7.34 (~node15(s377)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30224, 103, 30134])).
% 9.64/7.34 tff(30226,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s377, s378)) | node18(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s377, s378)) | node18(s377, s378))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30227,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s377, s378)) | node18(s377, s378))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30228,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s377, s378)) | node18(s377, s378)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30227, 30226])).
% 9.64/7.34 tff(30229,plain,
% 9.64/7.34 (node18(s377, s378)),
% 9.64/7.34 inference(unit_resolution,[status(thm)],[30228, 125, 30145])).
% 9.64/7.34 tff(30230,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30231,plain,
% 9.64/7.34 (((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1)) <=> (node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 9.64/7.34 inference(rewrite,[status(thm)],[])).
% 9.64/7.34 tff(30232,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)))),
% 9.64/7.34 inference(monotonicity,[status(thm)],[30231])).
% 9.64/7.34 tff(30233,plain,
% 9.64/7.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1))),
% 9.64/7.34 inference(transitivity,[status(thm)],[30232, 30230])).
% 9.64/7.34 tff(30234,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | node15(s377) | (~node18(s377, s378)) | m_main_v_turn(s378, c_1))),
% 9.64/7.34 inference(quant_inst,[status(thm)],[])).
% 9.64/7.34 tff(30235,plain,
% 9.64/7.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s377) | (~node18(s377, s378)) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)),
% 9.64/7.34 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 9.64/7.34 tff(30236,plain,
% 9.64/7.35 (node15(s377) | (~m_main_v_state1(s377, c_t1)) | (~m_main_v_state2(s377, c_n2)) | m_main_v_turn(s378, c_1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30235, 992, 30229])).
% 9.64/7.35 tff(30237,plain,
% 9.64/7.35 (m_main_v_turn(s378, c_1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30236, 30225, 30062, 30130])).
% 9.64/7.35 tff(30238,plain,
% 9.64/7.35 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30239,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30240,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s378, c_1)) | (~m_main_v_turn(s378, c_2))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 9.64/7.35 tff(30241,plain,
% 9.64/7.35 (~m_main_v_turn(s378, c_2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30240, 156, 30237])).
% 9.64/7.35 tff(30242,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s378, c_2) | (~node12(s378)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s378, c_2) | (~node12(s378)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30243,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s378, c_2) | (~node12(s378)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30244,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s378, c_2) | (~node12(s378))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 9.64/7.35 tff(30245,plain,
% 9.64/7.35 (~node12(s378)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30244, 184, 30241])).
% 9.64/7.35 tff(30246,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s378, c_n2) | (~node8(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s378, c_n2) | (~node8(s378)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30247,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s378, c_n2) | (~node8(s378)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30248,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s378, c_n2) | (~node8(s378))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30247, 30246])).
% 9.64/7.35 tff(30249,plain,
% 9.64/7.35 (~node8(s378)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30248, 271, 30178])).
% 9.64/7.35 tff(30250,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s378, c_n2) | (~node9(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s378, c_n2) | (~node9(s378)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30251,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s378, c_n2) | (~node9(s378)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30252,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s378, c_n2) | (~node9(s378))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30251, 30250])).
% 9.64/7.35 tff(30253,plain,
% 9.64/7.35 (~node9(s378)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30252, 88, 30178])).
% 9.64/7.35 tff(30254,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s378, c_n2) | (~node10(s378)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s378, c_n2) | (~node10(s378)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30255,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s378, c_n2) | (~node10(s378)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30256,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s378, c_n2) | (~node10(s378))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30255, 30254])).
% 9.64/7.35 tff(30257,plain,
% 9.64/7.35 (~node10(s378)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30256, 249, 30178])).
% 9.64/7.35 tff(30258,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s378, c_n1) | (~node11(s378)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s378, c_n1) | (~node11(s378)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30259,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s378, c_n1) | (~node11(s378)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30260,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s378, c_n1) | (~node11(s378))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30259, 30258])).
% 9.64/7.35 tff(30261,plain,
% 9.64/7.35 (~node11(s378)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30260, 238, 30198])).
% 9.64/7.35 tff(30262,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s378, s379)) | node14(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s378, s379)) | node14(s378, s379))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30263,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s378, s379)) | node14(s378, s379))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30264,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s378, s379)) | node14(s378, s379)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 9.64/7.35 tff(30265,plain,
% 9.64/7.35 (node14(s378, s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30264, 46, 30209])).
% 9.64/7.35 tff(30266,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30267,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30268,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379) | (~node14(s378, s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 9.64/7.35 tff(30269,plain,
% 9.64/7.35 (m_main_v_state2(s378, c_c2) | node9(s378) | node8(s378) | node10(s378) | node11(s378) | node12(s378) | node13(s378, s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30268, 296, 30265])).
% 9.64/7.35 tff(30270,plain,
% 9.64/7.35 (node13(s378, s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30269, 30261, 30186, 30257, 30253, 30249, 30245])).
% 9.64/7.35 tff(30271,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30272,plain,
% 9.64/7.35 (((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2)) <=> ((~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30273,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379))))),
% 9.64/7.35 inference(monotonicity,[status(thm)],[30272])).
% 9.64/7.35 tff(30274,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379)))),
% 9.64/7.35 inference(transitivity,[status(thm)],[30273, 30271])).
% 9.64/7.35 tff(30275,plain,
% 9.64/7.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s378, s379)) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30276,plain,
% 9.64/7.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s378, c_t2)) | m_main_v_state2(s379, c_t2) | (~node13(s378, s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 9.64/7.35 tff(30277,plain,
% 9.64/7.35 (m_main_v_state2(s379, c_t2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30276, 518, 30174, 30270])).
% 9.64/7.35 tff(30278,plain,
% 9.64/7.35 (succ(s379, s380) <=> succ(s379, s380)),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30279,axiom,(succ(s379, s380)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound380')).
% 9.64/7.35 tff(30280,plain,
% 9.64/7.35 (succ(s379, s380)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 9.64/7.35 tff(30281,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30282,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30283,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 9.64/7.35 tff(30284,plain,
% 9.64/7.35 (trans(s379, s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30283, 30280, 32])).
% 9.64/7.35 tff(30285,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s379, s380)) | node7(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s379, s380)) | node7(s379, s380))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30286,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s379, s380)) | node7(s379, s380))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30287,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s379, s380)) | node7(s379, s380)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30286, 30285])).
% 9.64/7.35 tff(30288,plain,
% 9.64/7.35 (node7(s379, s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30287, 206, 30284])).
% 9.64/7.35 tff(30289,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30290,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30291,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node7(s379, s380)) | m_main_v_state1(s380, c_t1)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30290, 30289])).
% 9.64/7.35 tff(30292,plain,
% 9.64/7.35 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | m_main_v_state1(s380, c_t1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30291, 651, 30288])).
% 9.64/7.35 tff(30293,plain,
% 9.64/7.35 (m_main_v_state1(s380, c_t1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30292, 30277, 30221])).
% 9.64/7.35 tff(30294,plain,
% 9.64/7.35 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30295,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30296,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s380, c_n1)) | (~m_main_v_state1(s380, c_t1))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30295, 30294])).
% 9.64/7.35 tff(30297,plain,
% 9.64/7.35 (~m_main_v_state1(s380, c_n1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30296, 10, 30293])).
% 9.64/7.35 tff(30298,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s380, c_n1) | (~node1(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s380, c_n1) | (~node1(s380)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30299,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s380, c_n1) | (~node1(s380)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30300,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s380, c_n1) | (~node1(s380))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30299, 30298])).
% 9.64/7.35 tff(30301,plain,
% 9.64/7.35 (~node1(s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30300, 421, 30297])).
% 9.64/7.35 tff(30302,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s379, s380)) | node18(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s379, s380)) | node18(s379, s380))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30303,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s379, s380)) | node18(s379, s380))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30304,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s379, s380)) | node18(s379, s380)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30303, 30302])).
% 9.64/7.35 tff(30305,plain,
% 9.64/7.35 (node18(s379, s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30304, 125, 30284])).
% 9.64/7.35 tff(30306,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30307,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30308,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | (~node18(s379, s380)) | m_main_v_turn(s380, c_2)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 9.64/7.35 tff(30309,plain,
% 9.64/7.35 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | m_main_v_turn(s380, c_2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30308, 760, 30305])).
% 9.64/7.35 tff(30310,plain,
% 9.64/7.35 (m_main_v_turn(s380, c_2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30309, 30277, 30221])).
% 9.64/7.35 tff(30311,plain,
% 9.64/7.35 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30312,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30313,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s380, c_1)) | (~m_main_v_turn(s380, c_2))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30312, 30311])).
% 9.64/7.35 tff(30314,plain,
% 9.64/7.35 (~m_main_v_turn(s380, c_1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30313, 156, 30310])).
% 9.64/7.35 tff(30315,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s380, c_1) | (~node5(s380)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s380, c_1) | (~node5(s380)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30316,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s380, c_1) | (~node5(s380)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30317,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s380, c_1) | (~node5(s380))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 9.64/7.35 tff(30318,plain,
% 9.64/7.35 (~node5(s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30317, 776, 30314])).
% 9.64/7.35 tff(30319,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s380, c_n1) | (~node2(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s380, c_n1) | (~node2(s380)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30320,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s380, c_n1) | (~node2(s380)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30321,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s380, c_n1) | (~node2(s380))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 9.64/7.35 tff(30322,plain,
% 9.64/7.35 (~node2(s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30321, 787, 30297])).
% 9.64/7.35 tff(30323,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s380, c_n1) | (~node3(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s380, c_n1) | (~node3(s380)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30324,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s380, c_n1) | (~node3(s380)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30325,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s380, c_n1) | (~node3(s380))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 9.64/7.35 tff(30326,plain,
% 9.64/7.35 (~node3(s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30325, 798, 30297])).
% 9.64/7.35 tff(30327,plain,
% 9.64/7.35 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30328,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30329,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s380, c_t1)) | (~m_main_v_state1(s380, c_c1))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 9.64/7.35 tff(30330,plain,
% 9.64/7.35 (~m_main_v_state1(s380, c_c1)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30329, 539, 30293])).
% 9.64/7.35 tff(30331,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30332,plain,
% 9.64/7.35 (((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2))) <=> (m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30333,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379))))),
% 9.64/7.35 inference(monotonicity,[status(thm)],[30332])).
% 9.64/7.35 tff(30334,plain,
% 9.64/7.35 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379)))),
% 9.64/7.35 inference(transitivity,[status(thm)],[30333, 30331])).
% 9.64/7.35 tff(30335,plain,
% 9.64/7.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s378, s379)) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30336,plain,
% 9.64/7.35 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s378, c_n2) | (~m_main_v_state2(s379, c_n2)) | (~node13(s378, s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 9.64/7.35 tff(30337,plain,
% 9.64/7.35 (~m_main_v_state2(s379, c_n2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30336, 311, 30178, 30270])).
% 9.64/7.35 tff(30338,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s379, c_n2) | (~node9(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s379, c_n2) | (~node9(s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30339,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s379, c_n2) | (~node9(s379)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30340,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s379, c_n2) | (~node9(s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 9.64/7.35 tff(30341,plain,
% 9.64/7.35 (~node9(s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30340, 88, 30337])).
% 9.64/7.35 tff(30342,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s379, c_n2) | (~node10(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s379, c_n2) | (~node10(s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30343,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s379, c_n2) | (~node10(s379)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30344,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s379, c_n2) | (~node10(s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30343, 30342])).
% 9.64/7.35 tff(30345,plain,
% 9.64/7.35 (~node10(s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30344, 249, 30337])).
% 9.64/7.35 tff(30346,plain,
% 9.64/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s379, c_n2) | (~node8(s379)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s379, c_n2) | (~node8(s379)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30347,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s379, c_n2) | (~node8(s379)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30348,plain,
% 9.64/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s379, c_n2) | (~node8(s379))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30347, 30346])).
% 9.64/7.35 tff(30349,plain,
% 9.64/7.35 (~node8(s379)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30348, 271, 30337])).
% 9.64/7.35 tff(30350,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s379, s380)) | node14(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s379, s380)) | node14(s379, s380))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30351,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s379, s380)) | node14(s379, s380))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30352,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s379, s380)) | node14(s379, s380)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30351, 30350])).
% 9.64/7.35 tff(30353,plain,
% 9.64/7.35 (node14(s379, s380)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30352, 46, 30284])).
% 9.64/7.35 tff(30354,plain,
% 9.64/7.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30355,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30356,plain,
% 9.64/7.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | (~node14(s379, s380)) | m_main_v_state2(s380, c_c2)),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30355, 30354])).
% 9.64/7.35 tff(30357,plain,
% 9.64/7.35 ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state2(s379, c_t2)) | node9(s379) | node8(s379) | node10(s379) | m_main_v_state2(s380, c_c2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30356, 617, 30353])).
% 9.64/7.35 tff(30358,plain,
% 9.64/7.35 (m_main_v_state2(s380, c_c2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30357, 30349, 30221, 30277, 30345, 30341])).
% 9.64/7.35 tff(30359,plain,
% 9.64/7.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))),
% 9.64/7.35 inference(rewrite,[status(thm)],[])).
% 9.64/7.35 tff(30360,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2)))),
% 9.64/7.35 inference(quant_inst,[status(thm)],[])).
% 9.64/7.35 tff(30361,plain,
% 9.64/7.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_n2)) | (~m_main_v_state2(s380, c_c2))),
% 9.64/7.35 inference(modus_ponens,[status(thm)],[30360, 30359])).
% 9.64/7.35 tff(30362,plain,
% 9.64/7.35 (~m_main_v_state2(s380, c_n2)),
% 9.64/7.35 inference(unit_resolution,[status(thm)],[30361, 697, 30358])).
% 9.72/7.35 tff(30363,plain,
% 9.72/7.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s380, c_n2) | (~node4(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s380, c_n2) | (~node4(s380)))),
% 9.72/7.35 inference(rewrite,[status(thm)],[])).
% 9.72/7.35 tff(30364,plain,
% 9.72/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s380, c_n2) | (~node4(s380)))),
% 9.72/7.35 inference(quant_inst,[status(thm)],[])).
% 9.72/7.35 tff(30365,plain,
% 9.72/7.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s380, c_n2) | (~node4(s380))),
% 9.72/7.35 inference(modus_ponens,[status(thm)],[30364, 30363])).
% 9.72/7.35 tff(30366,plain,
% 9.72/7.35 (~node4(s380)),
% 9.72/7.35 inference(unit_resolution,[status(thm)],[30365, 388, 30362])).
% 9.72/7.35 tff(30367,plain,
% 9.72/7.35 (succ(s380, s381) <=> succ(s380, s381)),
% 9.72/7.35 inference(rewrite,[status(thm)],[])).
% 9.72/7.35 tff(30368,axiom,(succ(s380, s381)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound381')).
% 9.72/7.35 tff(30369,plain,
% 9.72/7.35 (succ(s380, s381)),
% 9.72/7.35 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 9.72/7.35 tff(30370,plain,
% 9.72/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381))),
% 9.72/7.35 inference(rewrite,[status(thm)],[])).
% 9.72/7.35 tff(30371,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))),
% 9.72/7.35 inference(quant_inst,[status(thm)],[])).
% 9.72/7.35 tff(30372,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381)),
% 9.72/7.35 inference(modus_ponens,[status(thm)],[30371, 30370])).
% 9.72/7.35 tff(30373,plain,
% 9.72/7.35 (trans(s380, s381)),
% 9.72/7.35 inference(unit_resolution,[status(thm)],[30372, 30369, 32])).
% 9.72/7.35 tff(30374,plain,
% 9.72/7.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s380, s381)) | node7(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s380, s381)) | node7(s380, s381))),
% 9.72/7.35 inference(rewrite,[status(thm)],[])).
% 9.72/7.35 tff(30375,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s380, s381)) | node7(s380, s381))),
% 9.72/7.35 inference(quant_inst,[status(thm)],[])).
% 9.72/7.35 tff(30376,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s380, s381)) | node7(s380, s381)),
% 9.72/7.35 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 9.72/7.35 tff(30377,plain,
% 9.72/7.35 (node7(s380, s381)),
% 9.72/7.35 inference(unit_resolution,[status(thm)],[30376, 206, 30373])).
% 9.72/7.35 tff(30378,plain,
% 9.72/7.35 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))),
% 9.72/7.35 inference(rewrite,[status(thm)],[])).
% 9.72/7.35 tff(30379,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381)))),
% 9.72/7.35 inference(quant_inst,[status(thm)],[])).
% 9.72/7.35 tff(30380,plain,
% 9.72/7.35 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381) | (~node7(s380, s381))),
% 9.72/7.35 inference(modus_ponens,[status(thm)],[30379, 30378])).
% 9.72/7.35 tff(30381,plain,
% 9.72/7.35 (m_main_v_state1(s380, c_c1) | node1(s380) | node2(s380) | node3(s380) | node4(s380) | node5(s380) | node6(s380, s381)),
% 9.72/7.35 inference(unit_resolution,[status(thm)],[30380, 820, 30377])).
% 9.72/7.35 tff(30382,plain,
% 9.72/7.35 (node6(s380, s381)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30381, 30366, 30330, 30326, 30322, 30318, 30301])).
% 9.72/7.36 tff(30383,plain,
% 9.72/7.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30384,plain,
% 9.72/7.36 (((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1)) <=> ((~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30385,plain,
% 9.72/7.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381))))),
% 9.72/7.36 inference(monotonicity,[status(thm)],[30384])).
% 9.72/7.36 tff(30386,plain,
% 9.72/7.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381)))),
% 9.72/7.36 inference(transitivity,[status(thm)],[30385, 30383])).
% 9.72/7.36 tff(30387,plain,
% 9.72/7.36 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s380, s381)) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30388,plain,
% 9.72/7.36 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s380, c_t1)) | m_main_v_state1(s381, c_t1) | (~node6(s380, s381))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30387, 30386])).
% 9.72/7.36 tff(30389,plain,
% 9.72/7.36 (m_main_v_state1(s381, c_t1)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30388, 856, 30293, 30382])).
% 9.72/7.36 tff(30390,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30391,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30392,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s380, c_t2)) | (~m_main_v_state2(s380, c_c2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30391, 30390])).
% 9.72/7.36 tff(30393,plain,
% 9.72/7.36 (~m_main_v_state2(s380, c_t2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30392, 260, 30358])).
% 9.72/7.36 tff(30394,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s380, c_t2) | (~node12(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s380, c_t2) | (~node12(s380)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30395,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s380, c_t2) | (~node12(s380)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30396,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s380, c_t2) | (~node12(s380))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30395, 30394])).
% 9.72/7.36 tff(30397,plain,
% 9.72/7.36 (~node12(s380)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30396, 633, 30393])).
% 9.72/7.36 tff(30398,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s380, c_n1) | (~node11(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s380, c_n1) | (~node11(s380)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30399,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s380, c_n1) | (~node11(s380)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30400,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s380, c_n1) | (~node11(s380))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30399, 30398])).
% 9.72/7.36 tff(30401,plain,
% 9.72/7.36 (~node11(s380)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30400, 238, 30297])).
% 9.72/7.36 tff(30402,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s380, c_c1) | (~node10(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s380, c_c1) | (~node10(s380)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30403,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s380, c_c1) | (~node10(s380)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30404,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s380, c_c1) | (~node10(s380))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 9.72/7.36 tff(30405,plain,
% 9.72/7.36 (~node10(s380)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30404, 675, 30330])).
% 9.72/7.36 tff(30406,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s380, c_n1) | (~node9(s380)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s380, c_n1) | (~node9(s380)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30407,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s380, c_n1) | (~node9(s380)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30408,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s380, c_n1) | (~node9(s380))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30407, 30406])).
% 9.72/7.36 tff(30409,plain,
% 9.72/7.36 (~node9(s380)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30408, 686, 30297])).
% 9.72/7.36 tff(30410,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s380, c_n2) | (~node8(s380)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s380, c_n2) | (~node8(s380)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30411,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s380, c_n2) | (~node8(s380)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30412,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s380, c_n2) | (~node8(s380))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 9.72/7.36 tff(30413,plain,
% 9.72/7.36 (~node8(s380)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30412, 271, 30362])).
% 9.72/7.36 tff(30414,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s380, s381)) | node14(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s380, s381)) | node14(s380, s381))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30415,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s380, s381)) | node14(s380, s381))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30416,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s380, s381)) | node14(s380, s381)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 9.72/7.36 tff(30417,plain,
% 9.72/7.36 (node14(s380, s381)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30416, 46, 30373])).
% 9.72/7.36 tff(30418,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30419,plain,
% 9.72/7.36 (((~m_main_v_state2(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2)) <=> (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30420,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2))))),
% 9.72/7.36 inference(monotonicity,[status(thm)],[30419])).
% 9.72/7.36 tff(30421,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2)))),
% 9.72/7.36 inference(transitivity,[status(thm)],[30420, 30418])).
% 9.72/7.36 tff(30422,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s380, c_c2)) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | m_main_v_state2(s381, c_n2))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30423,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~node14(s380, s381)) | (~m_main_v_state2(s380, c_c2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 9.72/7.36 tff(30424,plain,
% 9.72/7.36 (m_main_v_state2(s381, c_n2) | node9(s380) | node8(s380) | node10(s380) | node11(s380) | node12(s380) | (~m_main_v_state2(s380, c_c2))),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30423, 726, 30417])).
% 9.72/7.36 tff(30425,plain,
% 9.72/7.36 (m_main_v_state2(s381, c_n2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30424, 30413, 30358, 30409, 30405, 30401, 30397])).
% 9.72/7.36 tff(30426,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30427,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30428,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_t2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 9.72/7.36 tff(30429,plain,
% 9.72/7.36 (~m_main_v_state2(s381, c_t2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30428, 77, 30425])).
% 9.72/7.36 tff(30430,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s381, c_t2) | (~node15(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s381, c_t2) | (~node15(s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30431,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s381, c_t2) | (~node15(s381)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30432,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s381, c_t2) | (~node15(s381))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 9.72/7.36 tff(30433,plain,
% 9.72/7.36 (~node15(s381)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30432, 103, 30429])).
% 9.72/7.36 tff(30434,plain,
% 9.72/7.36 (succ(s381, s382) <=> succ(s381, s382)),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30435,axiom,(succ(s381, s382)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound382')).
% 9.72/7.36 tff(30436,plain,
% 9.72/7.36 (succ(s381, s382)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30435, 30434])).
% 9.72/7.36 tff(30437,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30438,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30439,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30438, 30437])).
% 9.72/7.36 tff(30440,plain,
% 9.72/7.36 (trans(s381, s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30439, 30436, 32])).
% 9.72/7.36 tff(30441,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s381, s382)) | node18(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s381, s382)) | node18(s381, s382))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30442,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s381, s382)) | node18(s381, s382))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30443,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s381, s382)) | node18(s381, s382)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30442, 30441])).
% 9.72/7.36 tff(30444,plain,
% 9.72/7.36 (node18(s381, s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30443, 125, 30440])).
% 9.72/7.36 tff(30445,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30446,plain,
% 9.72/7.36 (((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1)) <=> (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30447,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)))),
% 9.72/7.36 inference(monotonicity,[status(thm)],[30446])).
% 9.72/7.36 tff(30448,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1))),
% 9.72/7.36 inference(transitivity,[status(thm)],[30447, 30445])).
% 9.72/7.36 tff(30449,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node15(s381) | (~node18(s381, s382)) | m_main_v_turn(s382, c_1))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30450,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s381) | (~node18(s381, s382)) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30449, 30448])).
% 9.72/7.36 tff(30451,plain,
% 9.72/7.36 (node15(s381) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_turn(s382, c_1)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30450, 992, 30444])).
% 9.72/7.36 tff(30452,plain,
% 9.72/7.36 (m_main_v_turn(s382, c_1)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30451, 30433, 30425, 30389])).
% 9.72/7.36 tff(30453,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30454,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30455,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s382, c_1)) | (~m_main_v_turn(s382, c_2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 9.72/7.36 tff(30456,plain,
% 9.72/7.36 (~m_main_v_turn(s382, c_2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30455, 156, 30452])).
% 9.72/7.36 tff(30457,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s382, c_2) | (~node12(s382)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s382, c_2) | (~node12(s382)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30458,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s382, c_2) | (~node12(s382)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30459,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s382, c_2) | (~node12(s382))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30458, 30457])).
% 9.72/7.36 tff(30460,plain,
% 9.72/7.36 (~node12(s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30459, 184, 30456])).
% 9.72/7.36 tff(30461,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s381, s382)) | node14(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s381, s382)) | node14(s381, s382))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30462,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s381, s382)) | node14(s381, s382))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30463,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s381, s382)) | node14(s381, s382)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30462, 30461])).
% 9.72/7.36 tff(30464,plain,
% 9.72/7.36 (node14(s381, s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30463, 46, 30440])).
% 9.72/7.36 tff(30465,plain,
% 9.72/7.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30466,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30467,plain,
% 9.72/7.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | (~node14(s381, s382)) | m_main_v_state2(s382, c_t2)),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30466, 30465])).
% 9.72/7.36 tff(30468,plain,
% 9.72/7.36 ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state2(s382, c_t2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30467, 922, 30464])).
% 9.72/7.36 tff(30469,plain,
% 9.72/7.36 (m_main_v_state2(s382, c_t2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30468, 30389, 30425])).
% 9.72/7.36 tff(30470,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30471,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30472,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s382, c_n2)) | (~m_main_v_state2(s382, c_t2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 9.72/7.36 tff(30473,plain,
% 9.72/7.36 (~m_main_v_state2(s382, c_n2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30472, 77, 30469])).
% 9.72/7.36 tff(30474,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s382, c_n2) | (~node8(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s382, c_n2) | (~node8(s382)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30475,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s382, c_n2) | (~node8(s382)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30476,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s382, c_n2) | (~node8(s382))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 9.72/7.36 tff(30477,plain,
% 9.72/7.36 (~node8(s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30476, 271, 30473])).
% 9.72/7.36 tff(30478,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s382, c_n2) | (~node9(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s382, c_n2) | (~node9(s382)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30479,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s382, c_n2) | (~node9(s382)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30480,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s382, c_n2) | (~node9(s382))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 9.72/7.36 tff(30481,plain,
% 9.72/7.36 (~node9(s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30480, 88, 30473])).
% 9.72/7.36 tff(30482,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s382, c_n2) | (~node10(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s382, c_n2) | (~node10(s382)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30483,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s382, c_n2) | (~node10(s382)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30484,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s382, c_n2) | (~node10(s382))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 9.72/7.36 tff(30485,plain,
% 9.72/7.36 (~node10(s382)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30484, 249, 30473])).
% 9.72/7.36 tff(30486,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30487,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30488,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s382, c_t2)) | (~m_main_v_state2(s382, c_c2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 9.72/7.36 tff(30489,plain,
% 9.72/7.36 (~m_main_v_state2(s382, c_c2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30488, 260, 30469])).
% 9.72/7.36 tff(30490,plain,
% 9.72/7.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30491,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30492,plain,
% 9.72/7.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s381, c_n2)) | (~m_main_v_state2(s381, c_c2))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30491, 30490])).
% 9.72/7.36 tff(30493,plain,
% 9.72/7.36 (~m_main_v_state2(s381, c_c2)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30492, 697, 30425])).
% 9.72/7.36 tff(30494,plain,
% 9.72/7.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s381, c_c2) | (~node3(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s381, c_c2) | (~node3(s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30495,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s381, c_c2) | (~node3(s381)))),
% 9.72/7.36 inference(quant_inst,[status(thm)],[])).
% 9.72/7.36 tff(30496,plain,
% 9.72/7.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s381, c_c2) | (~node3(s381))),
% 9.72/7.36 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 9.72/7.36 tff(30497,plain,
% 9.72/7.36 (~node3(s381)),
% 9.72/7.36 inference(unit_resolution,[status(thm)],[30496, 399, 30493])).
% 9.72/7.36 tff(30498,plain,
% 9.72/7.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30499,plain,
% 9.72/7.36 (((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1))) <=> (m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 9.72/7.36 inference(rewrite,[status(thm)],[])).
% 9.72/7.36 tff(30500,plain,
% 9.72/7.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381))))),
% 9.72/7.36 inference(monotonicity,[status(thm)],[30499])).
% 9.72/7.37 tff(30501,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381)))),
% 9.72/7.37 inference(transitivity,[status(thm)],[30500, 30498])).
% 9.72/7.37 tff(30502,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s380, s381)) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30503,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s380, c_n1) | (~m_main_v_state1(s381, c_n1)) | (~node6(s380, s381))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 9.72/7.37 tff(30504,plain,
% 9.72/7.37 (~m_main_v_state1(s381, c_n1)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30503, 835, 30297, 30382])).
% 9.72/7.37 tff(30505,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s381, c_n1) | (~node2(s381)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s381, c_n1) | (~node2(s381)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30506,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s381, c_n1) | (~node2(s381)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30507,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s381, c_n1) | (~node2(s381))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30506, 30505])).
% 9.72/7.37 tff(30508,plain,
% 9.72/7.37 (~node2(s381)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30507, 787, 30504])).
% 9.72/7.37 tff(30509,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s381, c_t2) | (~node1(s381)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s381, c_t2) | (~node1(s381)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30510,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s381, c_t2) | (~node1(s381)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30511,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s381, c_t2) | (~node1(s381))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30510, 30509])).
% 9.72/7.37 tff(30512,plain,
% 9.72/7.37 (~node1(s381)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30511, 195, 30429])).
% 9.72/7.37 tff(30513,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s381, s382)) | node7(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s381, s382)) | node7(s381, s382))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30514,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s381, s382)) | node7(s381, s382))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30515,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s381, s382)) | node7(s381, s382)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 9.72/7.37 tff(30516,plain,
% 9.72/7.37 (node7(s381, s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30515, 206, 30440])).
% 9.72/7.37 tff(30517,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30518,plain,
% 9.72/7.37 (((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1)) <=> ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30519,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382))))),
% 9.72/7.37 inference(monotonicity,[status(thm)],[30518])).
% 9.72/7.37 tff(30520,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)))),
% 9.72/7.37 inference(transitivity,[status(thm)],[30519, 30517])).
% 9.72/7.37 tff(30521,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382)) | m_main_v_state1(s382, c_c1))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30522,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381) | (~node7(s381, s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 9.72/7.37 tff(30523,plain,
% 9.72/7.37 ((~m_main_v_state1(s381, c_t1)) | (~m_main_v_state2(s381, c_n2)) | m_main_v_state1(s382, c_c1) | node1(s381) | node2(s381) | node3(s381)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30522, 892, 30516])).
% 9.72/7.37 tff(30524,plain,
% 9.72/7.37 (m_main_v_state1(s382, c_c1)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30523, 30512, 30425, 30389, 30508, 30497])).
% 9.72/7.37 tff(30525,plain,
% 9.72/7.37 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30526,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30527,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_n1)) | (~m_main_v_state1(s382, c_c1))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 9.72/7.37 tff(30528,plain,
% 9.72/7.37 (~m_main_v_state1(s382, c_n1)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30527, 454, 30524])).
% 9.72/7.37 tff(30529,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s382, c_n1) | (~node11(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s382, c_n1) | (~node11(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30530,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s382, c_n1) | (~node11(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30531,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s382, c_n1) | (~node11(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30530, 30529])).
% 9.72/7.37 tff(30532,plain,
% 9.72/7.37 (~node11(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30531, 238, 30528])).
% 9.72/7.37 tff(30533,plain,
% 9.72/7.37 (succ(s382, s383) <=> succ(s382, s383)),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30534,axiom,(succ(s382, s383)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound383')).
% 9.72/7.37 tff(30535,plain,
% 9.72/7.37 (succ(s382, s383)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30534, 30533])).
% 9.72/7.37 tff(30536,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30537,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30538,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 9.72/7.37 tff(30539,plain,
% 9.72/7.37 (trans(s382, s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30538, 30535, 32])).
% 9.72/7.37 tff(30540,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s382, s383)) | node14(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s382, s383)) | node14(s382, s383))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30541,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s382, s383)) | node14(s382, s383))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30542,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s382, s383)) | node14(s382, s383)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 9.72/7.37 tff(30543,plain,
% 9.72/7.37 (node14(s382, s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30542, 46, 30539])).
% 9.72/7.37 tff(30544,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30545,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30546,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383) | (~node14(s382, s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 9.72/7.37 tff(30547,plain,
% 9.72/7.37 (m_main_v_state2(s382, c_c2) | node9(s382) | node8(s382) | node10(s382) | node11(s382) | node12(s382) | node13(s382, s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30546, 296, 30543])).
% 9.72/7.37 tff(30548,plain,
% 9.72/7.37 (node13(s382, s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30547, 30532, 30489, 30485, 30481, 30477, 30460])).
% 9.72/7.37 tff(30549,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30550,plain,
% 9.72/7.37 (((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2))) <=> (m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30551,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383))))),
% 9.72/7.37 inference(monotonicity,[status(thm)],[30550])).
% 9.72/7.37 tff(30552,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383)))),
% 9.72/7.37 inference(transitivity,[status(thm)],[30551, 30549])).
% 9.72/7.37 tff(30553,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s382, s383)) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30554,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s382, c_n2) | (~m_main_v_state2(s383, c_n2)) | (~node13(s382, s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 9.72/7.37 tff(30555,plain,
% 9.72/7.37 (~m_main_v_state2(s383, c_n2)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30554, 311, 30473, 30548])).
% 9.72/7.37 tff(30556,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s383, c_n2) | (~node9(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s383, c_n2) | (~node9(s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30557,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s383, c_n2) | (~node9(s383)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30558,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s383, c_n2) | (~node9(s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 9.72/7.37 tff(30559,plain,
% 9.72/7.37 (~node9(s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30558, 88, 30555])).
% 9.72/7.37 tff(30560,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s383, c_n2) | (~node10(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s383, c_n2) | (~node10(s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30561,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s383, c_n2) | (~node10(s383)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30562,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s383, c_n2) | (~node10(s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 9.72/7.37 tff(30563,plain,
% 9.72/7.37 (~node10(s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30562, 249, 30555])).
% 9.72/7.37 tff(30564,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30565,plain,
% 9.72/7.37 (((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2)) <=> ((~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30566,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383))))),
% 9.72/7.37 inference(monotonicity,[status(thm)],[30565])).
% 9.72/7.37 tff(30567,plain,
% 9.72/7.37 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383)))),
% 9.72/7.37 inference(transitivity,[status(thm)],[30566, 30564])).
% 9.72/7.37 tff(30568,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s382, s383)) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30569,plain,
% 9.72/7.37 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s382, c_t2)) | m_main_v_state2(s383, c_t2) | (~node13(s382, s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30568, 30567])).
% 9.72/7.37 tff(30570,plain,
% 9.72/7.37 (m_main_v_state2(s383, c_t2)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30569, 518, 30469, 30548])).
% 9.72/7.37 tff(30571,plain,
% 9.72/7.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30572,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30573,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s382, c_t1)) | (~m_main_v_state1(s382, c_c1))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 9.72/7.37 tff(30574,plain,
% 9.72/7.37 (~m_main_v_state1(s382, c_t1)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30573, 539, 30524])).
% 9.72/7.37 tff(30575,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s382, c_t1) | (~node5(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s382, c_t1) | (~node5(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30576,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s382, c_t1) | (~node5(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30577,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s382, c_t1) | (~node5(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30576, 30575])).
% 9.72/7.37 tff(30578,plain,
% 9.72/7.37 (~node5(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30577, 550, 30574])).
% 9.72/7.37 tff(30579,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s382, c_n2) | (~node4(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s382, c_n2) | (~node4(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30580,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s382, c_n2) | (~node4(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30581,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s382, c_n2) | (~node4(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 9.72/7.37 tff(30582,plain,
% 9.72/7.37 (~node4(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30581, 388, 30473])).
% 9.72/7.37 tff(30583,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s382, c_c2) | (~node3(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s382, c_c2) | (~node3(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30584,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s382, c_c2) | (~node3(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30585,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s382, c_c2) | (~node3(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 9.72/7.37 tff(30586,plain,
% 9.72/7.37 (~node3(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30585, 399, 30489])).
% 9.72/7.37 tff(30587,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s382, c_n2) | (~node2(s382)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s382, c_n2) | (~node2(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30588,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s382, c_n2) | (~node2(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30589,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s382, c_n2) | (~node2(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 9.72/7.37 tff(30590,plain,
% 9.72/7.37 (~node2(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30589, 410, 30473])).
% 9.72/7.37 tff(30591,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s382, c_n1) | (~node1(s382)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s382, c_n1) | (~node1(s382)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30592,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s382, c_n1) | (~node1(s382)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30593,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s382, c_n1) | (~node1(s382))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 9.72/7.37 tff(30594,plain,
% 9.72/7.37 (~node1(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30593, 421, 30528])).
% 9.72/7.37 tff(30595,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s382, s383)) | node7(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s382, s383)) | node7(s382, s383))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30596,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s382, s383)) | node7(s382, s383))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30597,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s382, s383)) | node7(s382, s383)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30596, 30595])).
% 9.72/7.37 tff(30598,plain,
% 9.72/7.37 (node7(s382, s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30597, 206, 30539])).
% 9.72/7.37 tff(30599,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30600,plain,
% 9.72/7.37 (((~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1)) <=> (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30601,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383))))),
% 9.72/7.37 inference(monotonicity,[status(thm)],[30600])).
% 9.72/7.37 tff(30602,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)))),
% 9.72/7.37 inference(transitivity,[status(thm)],[30601, 30599])).
% 9.72/7.37 tff(30603,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383)) | m_main_v_state1(s383, c_n1))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30604,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382) | (~node7(s382, s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30603, 30602])).
% 9.72/7.37 tff(30605,plain,
% 9.72/7.37 (m_main_v_state1(s383, c_n1) | (~m_main_v_state1(s382, c_c1)) | node1(s382) | node2(s382) | node3(s382) | node4(s382) | node5(s382)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30604, 584, 30598])).
% 9.72/7.37 tff(30606,plain,
% 9.72/7.37 (m_main_v_state1(s383, c_n1)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30605, 30594, 30524, 30590, 30586, 30582, 30578])).
% 9.72/7.37 tff(30607,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s383, c_n2) | (~node8(s383)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s383, c_n2) | (~node8(s383)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30608,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s383, c_n2) | (~node8(s383)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30609,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s383, c_n2) | (~node8(s383))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30608, 30607])).
% 9.72/7.37 tff(30610,plain,
% 9.72/7.37 (~node8(s383)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30609, 271, 30555])).
% 9.72/7.37 tff(30611,plain,
% 9.72/7.37 (succ(s383, s384) <=> succ(s383, s384)),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30612,axiom,(succ(s383, s384)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound384')).
% 9.72/7.37 tff(30613,plain,
% 9.72/7.37 (succ(s383, s384)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30612, 30611])).
% 9.72/7.37 tff(30614,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30615,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30616,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30615, 30614])).
% 9.72/7.37 tff(30617,plain,
% 9.72/7.37 (trans(s383, s384)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30616, 30613, 32])).
% 9.72/7.37 tff(30618,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s383, s384)) | node14(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s383, s384)) | node14(s383, s384))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30619,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s383, s384)) | node14(s383, s384))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30620,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s383, s384)) | node14(s383, s384)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 9.72/7.37 tff(30621,plain,
% 9.72/7.37 (node14(s383, s384)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30620, 46, 30617])).
% 9.72/7.37 tff(30622,plain,
% 9.72/7.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30623,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30624,plain,
% 9.72/7.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | (~node14(s383, s384)) | m_main_v_state2(s384, c_c2)),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30623, 30622])).
% 9.72/7.37 tff(30625,plain,
% 9.72/7.37 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | node9(s383) | node8(s383) | node10(s383) | m_main_v_state2(s384, c_c2)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30624, 617, 30621])).
% 9.72/7.37 tff(30626,plain,
% 9.72/7.37 (m_main_v_state2(s384, c_c2)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30625, 30610, 30606, 30570, 30563, 30559])).
% 9.72/7.37 tff(30627,plain,
% 9.72/7.37 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30628,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.37 inference(quant_inst,[status(thm)],[])).
% 9.72/7.37 tff(30629,plain,
% 9.72/7.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_t2)) | (~m_main_v_state2(s384, c_c2))),
% 9.72/7.37 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 9.72/7.37 tff(30630,plain,
% 9.72/7.37 (~m_main_v_state2(s384, c_t2)),
% 9.72/7.37 inference(unit_resolution,[status(thm)],[30629, 260, 30626])).
% 9.72/7.37 tff(30631,plain,
% 9.72/7.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s384, c_t2) | (~node12(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s384, c_t2) | (~node12(s384)))),
% 9.72/7.37 inference(rewrite,[status(thm)],[])).
% 9.72/7.37 tff(30632,plain,
% 9.72/7.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s384, c_t2) | (~node12(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30633,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s384, c_t2) | (~node12(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 9.72/7.38 tff(30634,plain,
% 9.72/7.38 (~node12(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30633, 633, 30630])).
% 9.72/7.38 tff(30635,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s383, s384)) | node7(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s383, s384)) | node7(s383, s384))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30636,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s383, s384)) | node7(s383, s384))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30637,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s383, s384)) | node7(s383, s384)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30636, 30635])).
% 9.72/7.38 tff(30638,plain,
% 9.72/7.38 (node7(s383, s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30637, 206, 30617])).
% 9.72/7.38 tff(30639,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30640,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30641,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node7(s383, s384)) | m_main_v_state1(s384, c_t1)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 9.72/7.38 tff(30642,plain,
% 9.72/7.38 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | m_main_v_state1(s384, c_t1)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30641, 651, 30638])).
% 9.72/7.38 tff(30643,plain,
% 9.72/7.38 (m_main_v_state1(s384, c_t1)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30642, 30570, 30606])).
% 9.72/7.38 tff(30644,plain,
% 9.72/7.38 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30645,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30646,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s384, c_n1)) | (~m_main_v_state1(s384, c_t1))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 9.72/7.38 tff(30647,plain,
% 9.72/7.38 (~m_main_v_state1(s384, c_n1)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30646, 10, 30643])).
% 9.72/7.38 tff(30648,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s384, c_n1) | (~node11(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s384, c_n1) | (~node11(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30649,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s384, c_n1) | (~node11(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30650,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s384, c_n1) | (~node11(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 9.72/7.38 tff(30651,plain,
% 9.72/7.38 (~node11(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30650, 238, 30647])).
% 9.72/7.38 tff(30652,plain,
% 9.72/7.38 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30653,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30654,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s384, c_t1)) | (~m_main_v_state1(s384, c_c1))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 9.72/7.38 tff(30655,plain,
% 9.72/7.38 (~m_main_v_state1(s384, c_c1)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30654, 539, 30643])).
% 9.72/7.38 tff(30656,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s384, c_c1) | (~node10(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s384, c_c1) | (~node10(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30657,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s384, c_c1) | (~node10(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30658,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s384, c_c1) | (~node10(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30657, 30656])).
% 9.72/7.38 tff(30659,plain,
% 9.72/7.38 (~node10(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30658, 675, 30655])).
% 9.72/7.38 tff(30660,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s384, c_n1) | (~node9(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s384, c_n1) | (~node9(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30661,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s384, c_n1) | (~node9(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30662,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s384, c_n1) | (~node9(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 9.72/7.38 tff(30663,plain,
% 9.72/7.38 (~node9(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30662, 686, 30647])).
% 9.72/7.38 tff(30664,plain,
% 9.72/7.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30665,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30666,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s384, c_n2)) | (~m_main_v_state2(s384, c_c2))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30665, 30664])).
% 9.72/7.38 tff(30667,plain,
% 9.72/7.38 (~m_main_v_state2(s384, c_n2)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30666, 697, 30626])).
% 9.72/7.38 tff(30668,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s384, c_n2) | (~node8(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s384, c_n2) | (~node8(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30669,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s384, c_n2) | (~node8(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30670,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s384, c_n2) | (~node8(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30669, 30668])).
% 9.72/7.38 tff(30671,plain,
% 9.72/7.38 (~node8(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30670, 271, 30667])).
% 9.72/7.38 tff(30672,plain,
% 9.72/7.38 (succ(s384, s385) <=> succ(s384, s385)),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30673,axiom,(succ(s384, s385)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound385')).
% 9.72/7.38 tff(30674,plain,
% 9.72/7.38 (succ(s384, s385)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 9.72/7.38 tff(30675,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30676,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30677,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30676, 30675])).
% 9.72/7.38 tff(30678,plain,
% 9.72/7.38 (trans(s384, s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30677, 30674, 32])).
% 9.72/7.38 tff(30679,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s384, s385)) | node14(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s384, s385)) | node14(s384, s385))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30680,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s384, s385)) | node14(s384, s385))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30681,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s384, s385)) | node14(s384, s385)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30680, 30679])).
% 9.72/7.38 tff(30682,plain,
% 9.72/7.38 (node14(s384, s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30681, 46, 30678])).
% 9.72/7.38 tff(30683,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30684,plain,
% 9.72/7.38 (((~m_main_v_state2(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2)) <=> (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30685,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2))))),
% 9.72/7.38 inference(monotonicity,[status(thm)],[30684])).
% 9.72/7.38 tff(30686,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2)))),
% 9.72/7.38 inference(transitivity,[status(thm)],[30685, 30683])).
% 9.72/7.38 tff(30687,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s384, c_c2)) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | m_main_v_state2(s385, c_n2))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30688,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~node14(s384, s385)) | (~m_main_v_state2(s384, c_c2))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30687, 30686])).
% 9.72/7.38 tff(30689,plain,
% 9.72/7.38 (m_main_v_state2(s385, c_n2) | node9(s384) | node8(s384) | node10(s384) | node11(s384) | node12(s384) | (~m_main_v_state2(s384, c_c2))),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30688, 726, 30682])).
% 9.72/7.38 tff(30690,plain,
% 9.72/7.38 (m_main_v_state2(s385, c_n2)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30689, 30671, 30626, 30663, 30659, 30651, 30634])).
% 9.72/7.38 tff(30691,plain,
% 9.72/7.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30692,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30693,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_c2))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 9.72/7.38 tff(30694,plain,
% 9.72/7.38 (~m_main_v_state2(s385, c_c2)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30693, 697, 30690])).
% 9.72/7.38 tff(30695,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s385, c_c2) | (~node3(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s385, c_c2) | (~node3(s385)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30696,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s385, c_c2) | (~node3(s385)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30697,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s385, c_c2) | (~node3(s385))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30696, 30695])).
% 9.72/7.38 tff(30698,plain,
% 9.72/7.38 (~node3(s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30697, 399, 30694])).
% 9.72/7.38 tff(30699,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s384, c_n1) | (~node1(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s384, c_n1) | (~node1(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30700,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s384, c_n1) | (~node1(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30701,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s384, c_n1) | (~node1(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30700, 30699])).
% 9.72/7.38 tff(30702,plain,
% 9.72/7.38 (~node1(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30701, 421, 30647])).
% 9.72/7.38 tff(30703,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s383, s384)) | node18(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s383, s384)) | node18(s383, s384))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30704,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s383, s384)) | node18(s383, s384))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30705,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s383, s384)) | node18(s383, s384)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 9.72/7.38 tff(30706,plain,
% 9.72/7.38 (node18(s383, s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30705, 125, 30617])).
% 9.72/7.38 tff(30707,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30708,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30709,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | (~node18(s383, s384)) | m_main_v_turn(s384, c_2)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30708, 30707])).
% 9.72/7.38 tff(30710,plain,
% 9.72/7.38 ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state2(s383, c_t2)) | m_main_v_turn(s384, c_2)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30709, 760, 30706])).
% 9.72/7.38 tff(30711,plain,
% 9.72/7.38 (m_main_v_turn(s384, c_2)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30710, 30570, 30606])).
% 9.72/7.38 tff(30712,plain,
% 9.72/7.38 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30713,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30714,plain,
% 9.72/7.38 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s384, c_1)) | (~m_main_v_turn(s384, c_2))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 9.72/7.38 tff(30715,plain,
% 9.72/7.38 (~m_main_v_turn(s384, c_1)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30714, 156, 30711])).
% 9.72/7.38 tff(30716,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s384, c_1) | (~node5(s384)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s384, c_1) | (~node5(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30717,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s384, c_1) | (~node5(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30718,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s384, c_1) | (~node5(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30717, 30716])).
% 9.72/7.38 tff(30719,plain,
% 9.72/7.38 (~node5(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30718, 776, 30715])).
% 9.72/7.38 tff(30720,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s384, c_n1) | (~node2(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s384, c_n1) | (~node2(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30721,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s384, c_n1) | (~node2(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30722,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s384, c_n1) | (~node2(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 9.72/7.38 tff(30723,plain,
% 9.72/7.38 (~node2(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30722, 787, 30647])).
% 9.72/7.38 tff(30724,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s384, c_n1) | (~node3(s384)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s384, c_n1) | (~node3(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30725,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s384, c_n1) | (~node3(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30726,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s384, c_n1) | (~node3(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 9.72/7.38 tff(30727,plain,
% 9.72/7.38 (~node3(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30726, 798, 30647])).
% 9.72/7.38 tff(30728,plain,
% 9.72/7.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s384, c_n2) | (~node4(s384)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s384, c_n2) | (~node4(s384)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30729,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s384, c_n2) | (~node4(s384)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30730,plain,
% 9.72/7.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s384, c_n2) | (~node4(s384))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30729, 30728])).
% 9.72/7.38 tff(30731,plain,
% 9.72/7.38 (~node4(s384)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30730, 388, 30667])).
% 9.72/7.38 tff(30732,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s384, s385)) | node7(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s384, s385)) | node7(s384, s385))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30733,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s384, s385)) | node7(s384, s385))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30734,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s384, s385)) | node7(s384, s385)),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 9.72/7.38 tff(30735,plain,
% 9.72/7.38 (node7(s384, s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30734, 206, 30678])).
% 9.72/7.38 tff(30736,plain,
% 9.72/7.38 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))),
% 9.72/7.38 inference(rewrite,[status(thm)],[])).
% 9.72/7.38 tff(30737,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385)))),
% 9.72/7.38 inference(quant_inst,[status(thm)],[])).
% 9.72/7.38 tff(30738,plain,
% 9.72/7.38 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385) | (~node7(s384, s385))),
% 9.72/7.38 inference(modus_ponens,[status(thm)],[30737, 30736])).
% 9.72/7.38 tff(30739,plain,
% 9.72/7.38 (m_main_v_state1(s384, c_c1) | node1(s384) | node2(s384) | node3(s384) | node4(s384) | node5(s384) | node6(s384, s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30738, 820, 30735])).
% 9.72/7.38 tff(30740,plain,
% 9.72/7.38 (node6(s384, s385)),
% 9.72/7.38 inference(unit_resolution,[status(thm)],[30739, 30731, 30655, 30727, 30723, 30719, 30702])).
% 9.75/7.38 tff(30741,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30742,plain,
% 9.75/7.38 (((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1))) <=> (m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30743,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385))))),
% 9.75/7.38 inference(monotonicity,[status(thm)],[30742])).
% 9.75/7.38 tff(30744,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385)))),
% 9.75/7.38 inference(transitivity,[status(thm)],[30743, 30741])).
% 9.75/7.38 tff(30745,plain,
% 9.75/7.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s384, s385)) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30746,plain,
% 9.75/7.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s384, c_n1) | (~m_main_v_state1(s385, c_n1)) | (~node6(s384, s385))),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 9.75/7.38 tff(30747,plain,
% 9.75/7.38 (~m_main_v_state1(s385, c_n1)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30746, 835, 30647, 30740])).
% 9.75/7.38 tff(30748,plain,
% 9.75/7.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s385, c_n1) | (~node2(s385)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s385, c_n1) | (~node2(s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30749,plain,
% 9.75/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s385, c_n1) | (~node2(s385)))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30750,plain,
% 9.75/7.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s385, c_n1) | (~node2(s385))),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30749, 30748])).
% 9.75/7.38 tff(30751,plain,
% 9.75/7.38 (~node2(s385)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30750, 787, 30747])).
% 9.75/7.38 tff(30752,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30753,plain,
% 9.75/7.38 (((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1)) <=> ((~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30754,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385))))),
% 9.75/7.38 inference(monotonicity,[status(thm)],[30753])).
% 9.75/7.38 tff(30755,plain,
% 9.75/7.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385)))),
% 9.75/7.38 inference(transitivity,[status(thm)],[30754, 30752])).
% 9.75/7.38 tff(30756,plain,
% 9.75/7.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s384, s385)) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30757,plain,
% 9.75/7.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s384, c_t1)) | m_main_v_state1(s385, c_t1) | (~node6(s384, s385))),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30756, 30755])).
% 9.75/7.38 tff(30758,plain,
% 9.75/7.38 (m_main_v_state1(s385, c_t1)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30757, 856, 30643, 30740])).
% 9.75/7.38 tff(30759,plain,
% 9.75/7.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30760,plain,
% 9.75/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2)))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30761,plain,
% 9.75/7.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s385, c_n2)) | (~m_main_v_state2(s385, c_t2))),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30760, 30759])).
% 9.75/7.38 tff(30762,plain,
% 9.75/7.38 (~m_main_v_state2(s385, c_t2)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30761, 77, 30690])).
% 9.75/7.38 tff(30763,plain,
% 9.75/7.38 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s385, c_t2) | (~node1(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s385, c_t2) | (~node1(s385)))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30764,plain,
% 9.75/7.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s385, c_t2) | (~node1(s385)))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30765,plain,
% 9.75/7.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s385, c_t2) | (~node1(s385))),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30764, 30763])).
% 9.75/7.38 tff(30766,plain,
% 9.75/7.38 (~node1(s385)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30765, 195, 30762])).
% 9.75/7.38 tff(30767,plain,
% 9.75/7.38 (succ(s385, s386) <=> succ(s385, s386)),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30768,axiom,(succ(s385, s386)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound386')).
% 9.75/7.38 tff(30769,plain,
% 9.75/7.38 (succ(s385, s386)),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30768, 30767])).
% 9.75/7.38 tff(30770,plain,
% 9.75/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30771,plain,
% 9.75/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))),
% 9.75/7.38 inference(quant_inst,[status(thm)],[])).
% 9.75/7.38 tff(30772,plain,
% 9.75/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386)),
% 9.75/7.38 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 9.75/7.38 tff(30773,plain,
% 9.75/7.38 (trans(s385, s386)),
% 9.75/7.38 inference(unit_resolution,[status(thm)],[30772, 30769, 32])).
% 9.75/7.38 tff(30774,plain,
% 9.75/7.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s385, s386)) | node7(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s385, s386)) | node7(s385, s386))),
% 9.75/7.38 inference(rewrite,[status(thm)],[])).
% 9.75/7.38 tff(30775,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s385, s386)) | node7(s385, s386))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30776,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s385, s386)) | node7(s385, s386)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30775, 30774])).
% 9.75/7.39 tff(30777,plain,
% 9.75/7.39 (node7(s385, s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30776, 206, 30773])).
% 9.75/7.39 tff(30778,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30779,plain,
% 9.75/7.39 (((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1)) <=> ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30780,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386))))),
% 9.75/7.39 inference(monotonicity,[status(thm)],[30779])).
% 9.75/7.39 tff(30781,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)))),
% 9.75/7.39 inference(transitivity,[status(thm)],[30780, 30778])).
% 9.75/7.39 tff(30782,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386)) | m_main_v_state1(s386, c_c1))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30783,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385) | (~node7(s385, s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30782, 30781])).
% 9.75/7.39 tff(30784,plain,
% 9.75/7.39 ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state1(s386, c_c1) | node1(s385) | node2(s385) | node3(s385)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30783, 892, 30777])).
% 9.75/7.39 tff(30785,plain,
% 9.75/7.39 (m_main_v_state1(s386, c_c1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30784, 30766, 30690, 30758, 30751, 30698])).
% 9.75/7.39 tff(30786,plain,
% 9.75/7.39 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30787,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30788,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_t1)) | (~m_main_v_state1(s386, c_c1))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30787, 30786])).
% 9.75/7.39 tff(30789,plain,
% 9.75/7.39 (~m_main_v_state1(s386, c_t1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30788, 539, 30785])).
% 9.75/7.39 tff(30790,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s386, c_t1) | (~node5(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s386, c_t1) | (~node5(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30791,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s386, c_t1) | (~node5(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30792,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s386, c_t1) | (~node5(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 9.75/7.39 tff(30793,plain,
% 9.75/7.39 (~node5(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30792, 550, 30789])).
% 9.75/7.39 tff(30794,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s385, s386)) | node14(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s385, s386)) | node14(s385, s386))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30795,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s385, s386)) | node14(s385, s386))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30796,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s385, s386)) | node14(s385, s386)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30795, 30794])).
% 9.75/7.39 tff(30797,plain,
% 9.75/7.39 (node14(s385, s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30796, 46, 30773])).
% 9.75/7.39 tff(30798,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30799,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30800,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | (~node14(s385, s386)) | m_main_v_state2(s386, c_t2)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30799, 30798])).
% 9.75/7.39 tff(30801,plain,
% 9.75/7.39 ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_state2(s386, c_t2)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30800, 922, 30797])).
% 9.75/7.39 tff(30802,plain,
% 9.75/7.39 (m_main_v_state2(s386, c_t2)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30801, 30758, 30690])).
% 9.75/7.39 tff(30803,plain,
% 9.75/7.39 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30804,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30805,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s386, c_n2)) | (~m_main_v_state2(s386, c_t2))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30804, 30803])).
% 9.75/7.39 tff(30806,plain,
% 9.75/7.39 (~m_main_v_state2(s386, c_n2)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30805, 77, 30802])).
% 9.75/7.39 tff(30807,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s386, c_n2) | (~node4(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s386, c_n2) | (~node4(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30808,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s386, c_n2) | (~node4(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30809,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s386, c_n2) | (~node4(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30808, 30807])).
% 9.75/7.39 tff(30810,plain,
% 9.75/7.39 (~node4(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30809, 388, 30806])).
% 9.75/7.39 tff(30811,plain,
% 9.75/7.39 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30812,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30813,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s386, c_t2)) | (~m_main_v_state2(s386, c_c2))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30812, 30811])).
% 9.75/7.39 tff(30814,plain,
% 9.75/7.39 (~m_main_v_state2(s386, c_c2)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30813, 260, 30802])).
% 9.75/7.39 tff(30815,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s386, c_c2) | (~node3(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s386, c_c2) | (~node3(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30816,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s386, c_c2) | (~node3(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30817,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s386, c_c2) | (~node3(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 9.75/7.39 tff(30818,plain,
% 9.75/7.39 (~node3(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30817, 399, 30814])).
% 9.75/7.39 tff(30819,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s386, c_n2) | (~node2(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s386, c_n2) | (~node2(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30820,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s386, c_n2) | (~node2(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30821,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s386, c_n2) | (~node2(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 9.75/7.39 tff(30822,plain,
% 9.75/7.39 (~node2(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30821, 410, 30806])).
% 9.75/7.39 tff(30823,plain,
% 9.75/7.39 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30824,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30825,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s386, c_n1)) | (~m_main_v_state1(s386, c_c1))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 9.75/7.39 tff(30826,plain,
% 9.75/7.39 (~m_main_v_state1(s386, c_n1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30825, 454, 30785])).
% 9.75/7.39 tff(30827,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s386, c_n1) | (~node1(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s386, c_n1) | (~node1(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30828,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s386, c_n1) | (~node1(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30829,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s386, c_n1) | (~node1(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30828, 30827])).
% 9.75/7.39 tff(30830,plain,
% 9.75/7.39 (~node1(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30829, 421, 30826])).
% 9.75/7.39 tff(30831,plain,
% 9.75/7.39 (succ(s386, s387) <=> succ(s386, s387)),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30832,axiom,(succ(s386, s387)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound387')).
% 9.75/7.39 tff(30833,plain,
% 9.75/7.39 (succ(s386, s387)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 9.75/7.39 tff(30834,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30835,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30836,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30835, 30834])).
% 9.75/7.39 tff(30837,plain,
% 9.75/7.39 (trans(s386, s387)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30836, 30833, 32])).
% 9.75/7.39 tff(30838,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s386, s387)) | node7(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s386, s387)) | node7(s386, s387))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30839,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s386, s387)) | node7(s386, s387))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30840,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s386, s387)) | node7(s386, s387)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30839, 30838])).
% 9.75/7.39 tff(30841,plain,
% 9.75/7.39 (node7(s386, s387)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30840, 206, 30837])).
% 9.75/7.39 tff(30842,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30843,plain,
% 9.75/7.39 (((~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1)) <=> (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30844,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387))))),
% 9.75/7.39 inference(monotonicity,[status(thm)],[30843])).
% 9.75/7.39 tff(30845,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)))),
% 9.75/7.39 inference(transitivity,[status(thm)],[30844, 30842])).
% 9.75/7.39 tff(30846,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387)) | m_main_v_state1(s387, c_n1))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30847,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386) | (~node7(s386, s387))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 9.75/7.39 tff(30848,plain,
% 9.75/7.39 (m_main_v_state1(s387, c_n1) | (~m_main_v_state1(s386, c_c1)) | node1(s386) | node2(s386) | node3(s386) | node4(s386) | node5(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30847, 584, 30841])).
% 9.75/7.39 tff(30849,plain,
% 9.75/7.39 (m_main_v_state1(s387, c_n1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30848, 30830, 30785, 30822, 30818, 30810, 30793])).
% 9.75/7.39 tff(30850,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s385, c_t2) | (~node15(s385)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s385, c_t2) | (~node15(s385)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30851,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s385, c_t2) | (~node15(s385)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30852,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s385, c_t2) | (~node15(s385))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30851, 30850])).
% 9.75/7.39 tff(30853,plain,
% 9.75/7.39 (~node15(s385)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30852, 103, 30762])).
% 9.75/7.39 tff(30854,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s385, s386)) | node18(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s385, s386)) | node18(s385, s386))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30855,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s385, s386)) | node18(s385, s386))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30856,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s385, s386)) | node18(s385, s386)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30855, 30854])).
% 9.75/7.39 tff(30857,plain,
% 9.75/7.39 (node18(s385, s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30856, 125, 30773])).
% 9.75/7.39 tff(30858,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30859,plain,
% 9.75/7.39 (((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1)) <=> (node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30860,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)))),
% 9.75/7.39 inference(monotonicity,[status(thm)],[30859])).
% 9.75/7.39 tff(30861,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1))),
% 9.75/7.39 inference(transitivity,[status(thm)],[30860, 30858])).
% 9.75/7.39 tff(30862,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | node15(s385) | (~node18(s385, s386)) | m_main_v_turn(s386, c_1))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30863,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s385) | (~node18(s385, s386)) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 9.75/7.39 tff(30864,plain,
% 9.75/7.39 (node15(s385) | (~m_main_v_state1(s385, c_t1)) | (~m_main_v_state2(s385, c_n2)) | m_main_v_turn(s386, c_1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30863, 992, 30857])).
% 9.75/7.39 tff(30865,plain,
% 9.75/7.39 (m_main_v_turn(s386, c_1)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30864, 30853, 30690, 30758])).
% 9.75/7.39 tff(30866,plain,
% 9.75/7.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30867,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30868,plain,
% 9.75/7.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s386, c_1)) | (~m_main_v_turn(s386, c_2))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30867, 30866])).
% 9.75/7.39 tff(30869,plain,
% 9.75/7.39 (~m_main_v_turn(s386, c_2)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30868, 156, 30865])).
% 9.75/7.39 tff(30870,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s386, c_2) | (~node12(s386)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s386, c_2) | (~node12(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30871,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s386, c_2) | (~node12(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30872,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s386, c_2) | (~node12(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30871, 30870])).
% 9.75/7.39 tff(30873,plain,
% 9.75/7.39 (~node12(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30872, 184, 30869])).
% 9.75/7.39 tff(30874,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s386, c_n2) | (~node8(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s386, c_n2) | (~node8(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30875,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s386, c_n2) | (~node8(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30876,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s386, c_n2) | (~node8(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 9.75/7.39 tff(30877,plain,
% 9.75/7.39 (~node8(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30876, 271, 30806])).
% 9.75/7.39 tff(30878,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s386, c_n2) | (~node9(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s386, c_n2) | (~node9(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30879,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s386, c_n2) | (~node9(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30880,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s386, c_n2) | (~node9(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 9.75/7.39 tff(30881,plain,
% 9.75/7.39 (~node9(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30880, 88, 30806])).
% 9.75/7.39 tff(30882,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s386, c_n2) | (~node10(s386)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s386, c_n2) | (~node10(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30883,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s386, c_n2) | (~node10(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30884,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s386, c_n2) | (~node10(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 9.75/7.39 tff(30885,plain,
% 9.75/7.39 (~node10(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30884, 249, 30806])).
% 9.75/7.39 tff(30886,plain,
% 9.75/7.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s386, c_n1) | (~node11(s386)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s386, c_n1) | (~node11(s386)))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30887,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s386, c_n1) | (~node11(s386)))),
% 9.75/7.39 inference(quant_inst,[status(thm)],[])).
% 9.75/7.39 tff(30888,plain,
% 9.75/7.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s386, c_n1) | (~node11(s386))),
% 9.75/7.39 inference(modus_ponens,[status(thm)],[30887, 30886])).
% 9.75/7.39 tff(30889,plain,
% 9.75/7.39 (~node11(s386)),
% 9.75/7.39 inference(unit_resolution,[status(thm)],[30888, 238, 30826])).
% 9.75/7.39 tff(30890,plain,
% 9.75/7.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s386, s387)) | node14(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s386, s387)) | node14(s386, s387))),
% 9.75/7.39 inference(rewrite,[status(thm)],[])).
% 9.75/7.39 tff(30891,plain,
% 9.75/7.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s386, s387)) | node14(s386, s387))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30892,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s386, s387)) | node14(s386, s387)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 9.75/7.40 tff(30893,plain,
% 9.75/7.40 (node14(s386, s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30892, 46, 30837])).
% 9.75/7.40 tff(30894,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30895,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30896,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387) | (~node14(s386, s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 9.75/7.40 tff(30897,plain,
% 9.75/7.40 (m_main_v_state2(s386, c_c2) | node9(s386) | node8(s386) | node10(s386) | node11(s386) | node12(s386) | node13(s386, s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30896, 296, 30893])).
% 9.75/7.40 tff(30898,plain,
% 9.75/7.40 (node13(s386, s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30897, 30889, 30814, 30885, 30881, 30877, 30873])).
% 9.75/7.40 tff(30899,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30900,plain,
% 9.75/7.40 (((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2)) <=> ((~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30901,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387))))),
% 9.75/7.40 inference(monotonicity,[status(thm)],[30900])).
% 9.75/7.40 tff(30902,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387)))),
% 9.75/7.40 inference(transitivity,[status(thm)],[30901, 30899])).
% 9.75/7.40 tff(30903,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s386, s387)) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30904,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s386, c_t2)) | m_main_v_state2(s387, c_t2) | (~node13(s386, s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 9.75/7.40 tff(30905,plain,
% 9.75/7.40 (m_main_v_state2(s387, c_t2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30904, 518, 30802, 30898])).
% 9.75/7.40 tff(30906,plain,
% 9.75/7.40 (succ(s387, s388) <=> succ(s387, s388)),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30907,axiom,(succ(s387, s388)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound388')).
% 9.75/7.40 tff(30908,plain,
% 9.75/7.40 (succ(s387, s388)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30907, 30906])).
% 9.75/7.40 tff(30909,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30910,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30911,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30910, 30909])).
% 9.75/7.40 tff(30912,plain,
% 9.75/7.40 (trans(s387, s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30911, 30908, 32])).
% 9.75/7.40 tff(30913,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s387, s388)) | node7(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s387, s388)) | node7(s387, s388))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30914,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s387, s388)) | node7(s387, s388))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30915,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s387, s388)) | node7(s387, s388)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 9.75/7.40 tff(30916,plain,
% 9.75/7.40 (node7(s387, s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30915, 206, 30912])).
% 9.75/7.40 tff(30917,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30918,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30919,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node7(s387, s388)) | m_main_v_state1(s388, c_t1)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30918, 30917])).
% 9.75/7.40 tff(30920,plain,
% 9.75/7.40 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | m_main_v_state1(s388, c_t1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30919, 651, 30916])).
% 9.75/7.40 tff(30921,plain,
% 9.75/7.40 (m_main_v_state1(s388, c_t1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30920, 30905, 30849])).
% 9.75/7.40 tff(30922,plain,
% 9.75/7.40 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30923,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30924,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s388, c_n1)) | (~m_main_v_state1(s388, c_t1))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 9.75/7.40 tff(30925,plain,
% 9.75/7.40 (~m_main_v_state1(s388, c_n1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30924, 10, 30921])).
% 9.75/7.40 tff(30926,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s388, c_n1) | (~node1(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s388, c_n1) | (~node1(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30927,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s388, c_n1) | (~node1(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30928,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s388, c_n1) | (~node1(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 9.75/7.40 tff(30929,plain,
% 9.75/7.40 (~node1(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30928, 421, 30925])).
% 9.75/7.40 tff(30930,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s387, s388)) | node18(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s387, s388)) | node18(s387, s388))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30931,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s387, s388)) | node18(s387, s388))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30932,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s387, s388)) | node18(s387, s388)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 9.75/7.40 tff(30933,plain,
% 9.75/7.40 (node18(s387, s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30932, 125, 30912])).
% 9.75/7.40 tff(30934,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30935,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30936,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | (~node18(s387, s388)) | m_main_v_turn(s388, c_2)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30935, 30934])).
% 9.75/7.40 tff(30937,plain,
% 9.75/7.40 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | m_main_v_turn(s388, c_2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30936, 760, 30933])).
% 9.75/7.40 tff(30938,plain,
% 9.75/7.40 (m_main_v_turn(s388, c_2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30937, 30905, 30849])).
% 9.75/7.40 tff(30939,plain,
% 9.75/7.40 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30940,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30941,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s388, c_1)) | (~m_main_v_turn(s388, c_2))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30940, 30939])).
% 9.75/7.40 tff(30942,plain,
% 9.75/7.40 (~m_main_v_turn(s388, c_1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30941, 156, 30938])).
% 9.75/7.40 tff(30943,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s388, c_1) | (~node5(s388)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s388, c_1) | (~node5(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30944,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s388, c_1) | (~node5(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30945,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s388, c_1) | (~node5(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30944, 30943])).
% 9.75/7.40 tff(30946,plain,
% 9.75/7.40 (~node5(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30945, 776, 30942])).
% 9.75/7.40 tff(30947,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s388, c_n1) | (~node2(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s388, c_n1) | (~node2(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30948,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s388, c_n1) | (~node2(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30949,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s388, c_n1) | (~node2(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30948, 30947])).
% 9.75/7.40 tff(30950,plain,
% 9.75/7.40 (~node2(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30949, 787, 30925])).
% 9.75/7.40 tff(30951,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s388, c_n1) | (~node3(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s388, c_n1) | (~node3(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30952,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s388, c_n1) | (~node3(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30953,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s388, c_n1) | (~node3(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 9.75/7.40 tff(30954,plain,
% 9.75/7.40 (~node3(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30953, 798, 30925])).
% 9.75/7.40 tff(30955,plain,
% 9.75/7.40 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30956,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30957,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s388, c_t1)) | (~m_main_v_state1(s388, c_c1))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 9.75/7.40 tff(30958,plain,
% 9.75/7.40 (~m_main_v_state1(s388, c_c1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30957, 539, 30921])).
% 9.75/7.40 tff(30959,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30960,plain,
% 9.75/7.40 (((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2))) <=> (m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30961,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387))))),
% 9.75/7.40 inference(monotonicity,[status(thm)],[30960])).
% 9.75/7.40 tff(30962,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387)))),
% 9.75/7.40 inference(transitivity,[status(thm)],[30961, 30959])).
% 9.75/7.40 tff(30963,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s386, s387)) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30964,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s386, c_n2) | (~m_main_v_state2(s387, c_n2)) | (~node13(s386, s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 9.75/7.40 tff(30965,plain,
% 9.75/7.40 (~m_main_v_state2(s387, c_n2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30964, 311, 30806, 30898])).
% 9.75/7.40 tff(30966,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s387, c_n2) | (~node9(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s387, c_n2) | (~node9(s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30967,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s387, c_n2) | (~node9(s387)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30968,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s387, c_n2) | (~node9(s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30967, 30966])).
% 9.75/7.40 tff(30969,plain,
% 9.75/7.40 (~node9(s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30968, 88, 30965])).
% 9.75/7.40 tff(30970,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s387, c_n2) | (~node10(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s387, c_n2) | (~node10(s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30971,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s387, c_n2) | (~node10(s387)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30972,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s387, c_n2) | (~node10(s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30971, 30970])).
% 9.75/7.40 tff(30973,plain,
% 9.75/7.40 (~node10(s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30972, 249, 30965])).
% 9.75/7.40 tff(30974,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s387, c_n2) | (~node8(s387)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s387, c_n2) | (~node8(s387)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30975,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s387, c_n2) | (~node8(s387)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30976,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s387, c_n2) | (~node8(s387))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30975, 30974])).
% 9.75/7.40 tff(30977,plain,
% 9.75/7.40 (~node8(s387)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30976, 271, 30965])).
% 9.75/7.40 tff(30978,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s387, s388)) | node14(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s387, s388)) | node14(s387, s388))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30979,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s387, s388)) | node14(s387, s388))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30980,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s387, s388)) | node14(s387, s388)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30979, 30978])).
% 9.75/7.40 tff(30981,plain,
% 9.75/7.40 (node14(s387, s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30980, 46, 30912])).
% 9.75/7.40 tff(30982,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30983,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30984,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | (~node14(s387, s388)) | m_main_v_state2(s388, c_c2)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30983, 30982])).
% 9.75/7.40 tff(30985,plain,
% 9.75/7.40 ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state2(s387, c_t2)) | node9(s387) | node8(s387) | node10(s387) | m_main_v_state2(s388, c_c2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30984, 617, 30981])).
% 9.75/7.40 tff(30986,plain,
% 9.75/7.40 (m_main_v_state2(s388, c_c2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30985, 30977, 30849, 30905, 30973, 30969])).
% 9.75/7.40 tff(30987,plain,
% 9.75/7.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30988,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30989,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_n2)) | (~m_main_v_state2(s388, c_c2))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30988, 30987])).
% 9.75/7.40 tff(30990,plain,
% 9.75/7.40 (~m_main_v_state2(s388, c_n2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30989, 697, 30986])).
% 9.75/7.40 tff(30991,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s388, c_n2) | (~node4(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s388, c_n2) | (~node4(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30992,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s388, c_n2) | (~node4(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(30993,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s388, c_n2) | (~node4(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30992, 30991])).
% 9.75/7.40 tff(30994,plain,
% 9.75/7.40 (~node4(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[30993, 388, 30990])).
% 9.75/7.40 tff(30995,plain,
% 9.75/7.40 (succ(s388, s389) <=> succ(s388, s389)),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30996,axiom,(succ(s388, s389)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound389')).
% 9.75/7.40 tff(30997,plain,
% 9.75/7.40 (succ(s388, s389)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 9.75/7.40 tff(30998,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(30999,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31000,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 9.75/7.40 tff(31001,plain,
% 9.75/7.40 (trans(s388, s389)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31000, 30997, 32])).
% 9.75/7.40 tff(31002,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s388, s389)) | node7(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s388, s389)) | node7(s388, s389))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31003,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s388, s389)) | node7(s388, s389))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31004,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s388, s389)) | node7(s388, s389)),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 9.75/7.40 tff(31005,plain,
% 9.75/7.40 (node7(s388, s389)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31004, 206, 31001])).
% 9.75/7.40 tff(31006,plain,
% 9.75/7.40 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31007,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31008,plain,
% 9.75/7.40 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389) | (~node7(s388, s389))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 9.75/7.40 tff(31009,plain,
% 9.75/7.40 (m_main_v_state1(s388, c_c1) | node1(s388) | node2(s388) | node3(s388) | node4(s388) | node5(s388) | node6(s388, s389)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31008, 820, 31005])).
% 9.75/7.40 tff(31010,plain,
% 9.75/7.40 (node6(s388, s389)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31009, 30994, 30958, 30954, 30950, 30946, 30929])).
% 9.75/7.40 tff(31011,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31012,plain,
% 9.75/7.40 (((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1)) <=> ((~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31013,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389))))),
% 9.75/7.40 inference(monotonicity,[status(thm)],[31012])).
% 9.75/7.40 tff(31014,plain,
% 9.75/7.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389)))),
% 9.75/7.40 inference(transitivity,[status(thm)],[31013, 31011])).
% 9.75/7.40 tff(31015,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s388, s389)) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31016,plain,
% 9.75/7.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s388, c_t1)) | m_main_v_state1(s389, c_t1) | (~node6(s388, s389))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 9.75/7.40 tff(31017,plain,
% 9.75/7.40 (m_main_v_state1(s389, c_t1)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31016, 856, 30921, 31010])).
% 9.75/7.40 tff(31018,plain,
% 9.75/7.40 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31019,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31020,plain,
% 9.75/7.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s388, c_t2)) | (~m_main_v_state2(s388, c_c2))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31019, 31018])).
% 9.75/7.40 tff(31021,plain,
% 9.75/7.40 (~m_main_v_state2(s388, c_t2)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31020, 260, 30986])).
% 9.75/7.40 tff(31022,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s388, c_t2) | (~node12(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s388, c_t2) | (~node12(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31023,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s388, c_t2) | (~node12(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31024,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s388, c_t2) | (~node12(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31023, 31022])).
% 9.75/7.40 tff(31025,plain,
% 9.75/7.40 (~node12(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31024, 633, 31021])).
% 9.75/7.40 tff(31026,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s388, c_n1) | (~node11(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s388, c_n1) | (~node11(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31027,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s388, c_n1) | (~node11(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.40 tff(31028,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s388, c_n1) | (~node11(s388))),
% 9.75/7.40 inference(modus_ponens,[status(thm)],[31027, 31026])).
% 9.75/7.40 tff(31029,plain,
% 9.75/7.40 (~node11(s388)),
% 9.75/7.40 inference(unit_resolution,[status(thm)],[31028, 238, 30925])).
% 9.75/7.40 tff(31030,plain,
% 9.75/7.40 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s388, c_c1) | (~node10(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s388, c_c1) | (~node10(s388)))),
% 9.75/7.40 inference(rewrite,[status(thm)],[])).
% 9.75/7.40 tff(31031,plain,
% 9.75/7.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s388, c_c1) | (~node10(s388)))),
% 9.75/7.40 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31032,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s388, c_c1) | (~node10(s388))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 9.75/7.41 tff(31033,plain,
% 9.75/7.41 (~node10(s388)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31032, 675, 30958])).
% 9.75/7.41 tff(31034,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s388, c_n1) | (~node9(s388)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s388, c_n1) | (~node9(s388)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31035,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s388, c_n1) | (~node9(s388)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31036,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s388, c_n1) | (~node9(s388))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 9.75/7.41 tff(31037,plain,
% 9.75/7.41 (~node9(s388)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31036, 686, 30925])).
% 9.75/7.41 tff(31038,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s388, c_n2) | (~node8(s388)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s388, c_n2) | (~node8(s388)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31039,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s388, c_n2) | (~node8(s388)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31040,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s388, c_n2) | (~node8(s388))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31039, 31038])).
% 9.75/7.41 tff(31041,plain,
% 9.75/7.41 (~node8(s388)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31040, 271, 30990])).
% 9.75/7.41 tff(31042,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s388, s389)) | node14(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s388, s389)) | node14(s388, s389))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31043,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s388, s389)) | node14(s388, s389))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31044,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s388, s389)) | node14(s388, s389)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 9.75/7.41 tff(31045,plain,
% 9.75/7.41 (node14(s388, s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31044, 46, 31001])).
% 9.75/7.41 tff(31046,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31047,plain,
% 9.75/7.41 (((~m_main_v_state2(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2)) <=> (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31048,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2))))),
% 9.75/7.41 inference(monotonicity,[status(thm)],[31047])).
% 9.75/7.41 tff(31049,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2)))),
% 9.75/7.41 inference(transitivity,[status(thm)],[31048, 31046])).
% 9.75/7.41 tff(31050,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s388, c_c2)) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | m_main_v_state2(s389, c_n2))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31051,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~node14(s388, s389)) | (~m_main_v_state2(s388, c_c2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 9.75/7.41 tff(31052,plain,
% 9.75/7.41 (m_main_v_state2(s389, c_n2) | node9(s388) | node8(s388) | node10(s388) | node11(s388) | node12(s388) | (~m_main_v_state2(s388, c_c2))),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31051, 726, 31045])).
% 9.75/7.41 tff(31053,plain,
% 9.75/7.41 (m_main_v_state2(s389, c_n2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31052, 31041, 30986, 31037, 31033, 31029, 31025])).
% 9.75/7.41 tff(31054,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31055,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31056,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_t2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31055, 31054])).
% 9.75/7.41 tff(31057,plain,
% 9.75/7.41 (~m_main_v_state2(s389, c_t2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31056, 77, 31053])).
% 9.75/7.41 tff(31058,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s389, c_t2) | (~node15(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s389, c_t2) | (~node15(s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31059,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s389, c_t2) | (~node15(s389)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31060,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s389, c_t2) | (~node15(s389))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 9.75/7.41 tff(31061,plain,
% 9.75/7.41 (~node15(s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31060, 103, 31057])).
% 9.75/7.41 tff(31062,plain,
% 9.75/7.41 (succ(s389, s390) <=> succ(s389, s390)),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31063,axiom,(succ(s389, s390)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound390')).
% 9.75/7.41 tff(31064,plain,
% 9.75/7.41 (succ(s389, s390)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31063, 31062])).
% 9.75/7.41 tff(31065,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31066,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31067,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 9.75/7.41 tff(31068,plain,
% 9.75/7.41 (trans(s389, s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31067, 31064, 32])).
% 9.75/7.41 tff(31069,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s389, s390)) | node18(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s389, s390)) | node18(s389, s390))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31070,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s389, s390)) | node18(s389, s390))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31071,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s389, s390)) | node18(s389, s390)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31070, 31069])).
% 9.75/7.41 tff(31072,plain,
% 9.75/7.41 (node18(s389, s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31071, 125, 31068])).
% 9.75/7.41 tff(31073,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31074,plain,
% 9.75/7.41 (((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1)) <=> (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31075,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)))),
% 9.75/7.41 inference(monotonicity,[status(thm)],[31074])).
% 9.75/7.41 tff(31076,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1))),
% 9.75/7.41 inference(transitivity,[status(thm)],[31075, 31073])).
% 9.75/7.41 tff(31077,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node15(s389) | (~node18(s389, s390)) | m_main_v_turn(s390, c_1))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31078,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s389) | (~node18(s389, s390)) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31077, 31076])).
% 9.75/7.41 tff(31079,plain,
% 9.75/7.41 (node15(s389) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_turn(s390, c_1)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31078, 992, 31072])).
% 9.75/7.41 tff(31080,plain,
% 9.75/7.41 (m_main_v_turn(s390, c_1)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31079, 31061, 31053, 31017])).
% 9.75/7.41 tff(31081,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31082,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31083,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s390, c_1)) | (~m_main_v_turn(s390, c_2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31082, 31081])).
% 9.75/7.41 tff(31084,plain,
% 9.75/7.41 (~m_main_v_turn(s390, c_2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31083, 156, 31080])).
% 9.75/7.41 tff(31085,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s390, c_2) | (~node12(s390)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s390, c_2) | (~node12(s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31086,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s390, c_2) | (~node12(s390)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31087,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s390, c_2) | (~node12(s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31086, 31085])).
% 9.75/7.41 tff(31088,plain,
% 9.75/7.41 (~node12(s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31087, 184, 31084])).
% 9.75/7.41 tff(31089,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s389, s390)) | node14(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s389, s390)) | node14(s389, s390))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31090,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s389, s390)) | node14(s389, s390))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31091,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s389, s390)) | node14(s389, s390)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31090, 31089])).
% 9.75/7.41 tff(31092,plain,
% 9.75/7.41 (node14(s389, s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31091, 46, 31068])).
% 9.75/7.41 tff(31093,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31094,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31095,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | (~node14(s389, s390)) | m_main_v_state2(s390, c_t2)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31094, 31093])).
% 9.75/7.41 tff(31096,plain,
% 9.75/7.41 ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state2(s390, c_t2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31095, 922, 31092])).
% 9.75/7.41 tff(31097,plain,
% 9.75/7.41 (m_main_v_state2(s390, c_t2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31096, 31017, 31053])).
% 9.75/7.41 tff(31098,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31099,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31100,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s390, c_n2)) | (~m_main_v_state2(s390, c_t2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31099, 31098])).
% 9.75/7.41 tff(31101,plain,
% 9.75/7.41 (~m_main_v_state2(s390, c_n2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31100, 77, 31097])).
% 9.75/7.41 tff(31102,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s390, c_n2) | (~node8(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s390, c_n2) | (~node8(s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31103,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s390, c_n2) | (~node8(s390)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31104,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s390, c_n2) | (~node8(s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 9.75/7.41 tff(31105,plain,
% 9.75/7.41 (~node8(s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31104, 271, 31101])).
% 9.75/7.41 tff(31106,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s390, c_n2) | (~node9(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s390, c_n2) | (~node9(s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31107,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s390, c_n2) | (~node9(s390)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31108,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s390, c_n2) | (~node9(s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 9.75/7.41 tff(31109,plain,
% 9.75/7.41 (~node9(s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31108, 88, 31101])).
% 9.75/7.41 tff(31110,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s390, c_n2) | (~node10(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s390, c_n2) | (~node10(s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31111,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s390, c_n2) | (~node10(s390)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31112,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s390, c_n2) | (~node10(s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 9.75/7.41 tff(31113,plain,
% 9.75/7.41 (~node10(s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31112, 249, 31101])).
% 9.75/7.41 tff(31114,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31115,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31116,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s390, c_t2)) | (~m_main_v_state2(s390, c_c2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 9.75/7.41 tff(31117,plain,
% 9.75/7.41 (~m_main_v_state2(s390, c_c2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31116, 260, 31097])).
% 9.75/7.41 tff(31118,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31119,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31120,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s389, c_n2)) | (~m_main_v_state2(s389, c_c2))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 9.75/7.41 tff(31121,plain,
% 9.75/7.41 (~m_main_v_state2(s389, c_c2)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31120, 697, 31053])).
% 9.75/7.41 tff(31122,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s389, c_c2) | (~node3(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s389, c_c2) | (~node3(s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31123,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s389, c_c2) | (~node3(s389)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31124,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s389, c_c2) | (~node3(s389))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 9.75/7.41 tff(31125,plain,
% 9.75/7.41 (~node3(s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31124, 399, 31121])).
% 9.75/7.41 tff(31126,plain,
% 9.75/7.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31127,plain,
% 9.75/7.41 (((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1))) <=> (m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31128,plain,
% 9.75/7.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389))))),
% 9.75/7.41 inference(monotonicity,[status(thm)],[31127])).
% 9.75/7.41 tff(31129,plain,
% 9.75/7.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389)))),
% 9.75/7.41 inference(transitivity,[status(thm)],[31128, 31126])).
% 9.75/7.41 tff(31130,plain,
% 9.75/7.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s388, s389)) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31131,plain,
% 9.75/7.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s388, c_n1) | (~m_main_v_state1(s389, c_n1)) | (~node6(s388, s389))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 9.75/7.41 tff(31132,plain,
% 9.75/7.41 (~m_main_v_state1(s389, c_n1)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31131, 835, 30925, 31010])).
% 9.75/7.41 tff(31133,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s389, c_n1) | (~node2(s389)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s389, c_n1) | (~node2(s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31134,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s389, c_n1) | (~node2(s389)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31135,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s389, c_n1) | (~node2(s389))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 9.75/7.41 tff(31136,plain,
% 9.75/7.41 (~node2(s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31135, 787, 31132])).
% 9.75/7.41 tff(31137,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s389, c_t2) | (~node1(s389)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s389, c_t2) | (~node1(s389)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31138,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s389, c_t2) | (~node1(s389)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31139,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s389, c_t2) | (~node1(s389))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 9.75/7.41 tff(31140,plain,
% 9.75/7.41 (~node1(s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31139, 195, 31057])).
% 9.75/7.41 tff(31141,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s389, s390)) | node7(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s389, s390)) | node7(s389, s390))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31142,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s389, s390)) | node7(s389, s390))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31143,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s389, s390)) | node7(s389, s390)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 9.75/7.41 tff(31144,plain,
% 9.75/7.41 (node7(s389, s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31143, 206, 31068])).
% 9.75/7.41 tff(31145,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31146,plain,
% 9.75/7.41 (((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1)) <=> ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31147,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390))))),
% 9.75/7.41 inference(monotonicity,[status(thm)],[31146])).
% 9.75/7.41 tff(31148,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)))),
% 9.75/7.41 inference(transitivity,[status(thm)],[31147, 31145])).
% 9.75/7.41 tff(31149,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390)) | m_main_v_state1(s390, c_c1))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31150,plain,
% 9.75/7.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389) | (~node7(s389, s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31149, 31148])).
% 9.75/7.41 tff(31151,plain,
% 9.75/7.41 ((~m_main_v_state1(s389, c_t1)) | (~m_main_v_state2(s389, c_n2)) | m_main_v_state1(s390, c_c1) | node1(s389) | node2(s389) | node3(s389)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31150, 892, 31144])).
% 9.75/7.41 tff(31152,plain,
% 9.75/7.41 (m_main_v_state1(s390, c_c1)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31151, 31140, 31053, 31017, 31136, 31125])).
% 9.75/7.41 tff(31153,plain,
% 9.75/7.41 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31154,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31155,plain,
% 9.75/7.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_n1)) | (~m_main_v_state1(s390, c_c1))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31154, 31153])).
% 9.75/7.41 tff(31156,plain,
% 9.75/7.41 (~m_main_v_state1(s390, c_n1)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31155, 454, 31152])).
% 9.75/7.41 tff(31157,plain,
% 9.75/7.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s390, c_n1) | (~node11(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s390, c_n1) | (~node11(s390)))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31158,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s390, c_n1) | (~node11(s390)))),
% 9.75/7.41 inference(quant_inst,[status(thm)],[])).
% 9.75/7.41 tff(31159,plain,
% 9.75/7.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s390, c_n1) | (~node11(s390))),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31158, 31157])).
% 9.75/7.41 tff(31160,plain,
% 9.75/7.41 (~node11(s390)),
% 9.75/7.41 inference(unit_resolution,[status(thm)],[31159, 238, 31156])).
% 9.75/7.41 tff(31161,plain,
% 9.75/7.41 (succ(s390, s391) <=> succ(s390, s391)),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.41 tff(31162,axiom,(succ(s390, s391)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound391')).
% 9.75/7.41 tff(31163,plain,
% 9.75/7.41 (succ(s390, s391)),
% 9.75/7.41 inference(modus_ponens,[status(thm)],[31162, 31161])).
% 9.75/7.41 tff(31164,plain,
% 9.75/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391))),
% 9.75/7.41 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31165,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31166,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31165, 31164])).
% 9.75/7.42 tff(31167,plain,
% 9.75/7.42 (trans(s390, s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31166, 31163, 32])).
% 9.75/7.42 tff(31168,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s390, s391)) | node14(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s390, s391)) | node14(s390, s391))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31169,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s390, s391)) | node14(s390, s391))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31170,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s390, s391)) | node14(s390, s391)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 9.75/7.42 tff(31171,plain,
% 9.75/7.42 (node14(s390, s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31170, 46, 31167])).
% 9.75/7.42 tff(31172,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31173,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31174,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391) | (~node14(s390, s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 9.75/7.42 tff(31175,plain,
% 9.75/7.42 (m_main_v_state2(s390, c_c2) | node9(s390) | node8(s390) | node10(s390) | node11(s390) | node12(s390) | node13(s390, s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31174, 296, 31171])).
% 9.75/7.42 tff(31176,plain,
% 9.75/7.42 (node13(s390, s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31175, 31160, 31117, 31113, 31109, 31105, 31088])).
% 9.75/7.42 tff(31177,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31178,plain,
% 9.75/7.42 (((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2))) <=> (m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31179,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391))))),
% 9.75/7.42 inference(monotonicity,[status(thm)],[31178])).
% 9.75/7.42 tff(31180,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391)))),
% 9.75/7.42 inference(transitivity,[status(thm)],[31179, 31177])).
% 9.75/7.42 tff(31181,plain,
% 9.75/7.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s390, s391)) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31182,plain,
% 9.75/7.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s390, c_n2) | (~m_main_v_state2(s391, c_n2)) | (~node13(s390, s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 9.75/7.42 tff(31183,plain,
% 9.75/7.42 (~m_main_v_state2(s391, c_n2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31182, 311, 31101, 31176])).
% 9.75/7.42 tff(31184,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s391, c_n2) | (~node9(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s391, c_n2) | (~node9(s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31185,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s391, c_n2) | (~node9(s391)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31186,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s391, c_n2) | (~node9(s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 9.75/7.42 tff(31187,plain,
% 9.75/7.42 (~node9(s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31186, 88, 31183])).
% 9.75/7.42 tff(31188,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s391, c_n2) | (~node10(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s391, c_n2) | (~node10(s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31189,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s391, c_n2) | (~node10(s391)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31190,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s391, c_n2) | (~node10(s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31189, 31188])).
% 9.75/7.42 tff(31191,plain,
% 9.75/7.42 (~node10(s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31190, 249, 31183])).
% 9.75/7.42 tff(31192,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31193,plain,
% 9.75/7.42 (((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2)) <=> ((~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31194,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391))))),
% 9.75/7.42 inference(monotonicity,[status(thm)],[31193])).
% 9.75/7.42 tff(31195,plain,
% 9.75/7.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391)))),
% 9.75/7.42 inference(transitivity,[status(thm)],[31194, 31192])).
% 9.75/7.42 tff(31196,plain,
% 9.75/7.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s390, s391)) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31197,plain,
% 9.75/7.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s390, c_t2)) | m_main_v_state2(s391, c_t2) | (~node13(s390, s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31196, 31195])).
% 9.75/7.42 tff(31198,plain,
% 9.75/7.42 (m_main_v_state2(s391, c_t2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31197, 518, 31097, 31176])).
% 9.75/7.42 tff(31199,plain,
% 9.75/7.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31200,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31201,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s390, c_t1)) | (~m_main_v_state1(s390, c_c1))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31200, 31199])).
% 9.75/7.42 tff(31202,plain,
% 9.75/7.42 (~m_main_v_state1(s390, c_t1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31201, 539, 31152])).
% 9.75/7.42 tff(31203,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s390, c_t1) | (~node5(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s390, c_t1) | (~node5(s390)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31204,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s390, c_t1) | (~node5(s390)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31205,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s390, c_t1) | (~node5(s390))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31204, 31203])).
% 9.75/7.42 tff(31206,plain,
% 9.75/7.42 (~node5(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31205, 550, 31202])).
% 9.75/7.42 tff(31207,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s390, c_n2) | (~node4(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s390, c_n2) | (~node4(s390)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31208,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s390, c_n2) | (~node4(s390)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31209,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s390, c_n2) | (~node4(s390))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 9.75/7.42 tff(31210,plain,
% 9.75/7.42 (~node4(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31209, 388, 31101])).
% 9.75/7.42 tff(31211,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s390, c_c2) | (~node3(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s390, c_c2) | (~node3(s390)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31212,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s390, c_c2) | (~node3(s390)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31213,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s390, c_c2) | (~node3(s390))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31212, 31211])).
% 9.75/7.42 tff(31214,plain,
% 9.75/7.42 (~node3(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31213, 399, 31117])).
% 9.75/7.42 tff(31215,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s390, c_n2) | (~node2(s390)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s390, c_n2) | (~node2(s390)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31216,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s390, c_n2) | (~node2(s390)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31217,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s390, c_n2) | (~node2(s390))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31216, 31215])).
% 9.75/7.42 tff(31218,plain,
% 9.75/7.42 (~node2(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31217, 410, 31101])).
% 9.75/7.42 tff(31219,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s390, c_n1) | (~node1(s390)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s390, c_n1) | (~node1(s390)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31220,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s390, c_n1) | (~node1(s390)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31221,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s390, c_n1) | (~node1(s390))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31220, 31219])).
% 9.75/7.42 tff(31222,plain,
% 9.75/7.42 (~node1(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31221, 421, 31156])).
% 9.75/7.42 tff(31223,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s390, s391)) | node7(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s390, s391)) | node7(s390, s391))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31224,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s390, s391)) | node7(s390, s391))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31225,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s390, s391)) | node7(s390, s391)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31224, 31223])).
% 9.75/7.42 tff(31226,plain,
% 9.75/7.42 (node7(s390, s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31225, 206, 31167])).
% 9.75/7.42 tff(31227,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31228,plain,
% 9.75/7.42 (((~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1)) <=> (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31229,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391))))),
% 9.75/7.42 inference(monotonicity,[status(thm)],[31228])).
% 9.75/7.42 tff(31230,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)))),
% 9.75/7.42 inference(transitivity,[status(thm)],[31229, 31227])).
% 9.75/7.42 tff(31231,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391)) | m_main_v_state1(s391, c_n1))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31232,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390) | (~node7(s390, s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 9.75/7.42 tff(31233,plain,
% 9.75/7.42 (m_main_v_state1(s391, c_n1) | (~m_main_v_state1(s390, c_c1)) | node1(s390) | node2(s390) | node3(s390) | node4(s390) | node5(s390)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31232, 584, 31226])).
% 9.75/7.42 tff(31234,plain,
% 9.75/7.42 (m_main_v_state1(s391, c_n1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31233, 31222, 31152, 31218, 31214, 31210, 31206])).
% 9.75/7.42 tff(31235,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s391, c_n2) | (~node8(s391)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s391, c_n2) | (~node8(s391)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31236,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s391, c_n2) | (~node8(s391)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31237,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s391, c_n2) | (~node8(s391))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 9.75/7.42 tff(31238,plain,
% 9.75/7.42 (~node8(s391)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31237, 271, 31183])).
% 9.75/7.42 tff(31239,plain,
% 9.75/7.42 (succ(s391, s392) <=> succ(s391, s392)),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31240,axiom,(succ(s391, s392)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound392')).
% 9.75/7.42 tff(31241,plain,
% 9.75/7.42 (succ(s391, s392)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 9.75/7.42 tff(31242,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31243,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31244,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31243, 31242])).
% 9.75/7.42 tff(31245,plain,
% 9.75/7.42 (trans(s391, s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31244, 31241, 32])).
% 9.75/7.42 tff(31246,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s391, s392)) | node14(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s391, s392)) | node14(s391, s392))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31247,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s391, s392)) | node14(s391, s392))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31248,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s391, s392)) | node14(s391, s392)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31247, 31246])).
% 9.75/7.42 tff(31249,plain,
% 9.75/7.42 (node14(s391, s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31248, 46, 31245])).
% 9.75/7.42 tff(31250,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31251,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31252,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | (~node14(s391, s392)) | m_main_v_state2(s392, c_c2)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31251, 31250])).
% 9.75/7.42 tff(31253,plain,
% 9.75/7.42 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | node9(s391) | node8(s391) | node10(s391) | m_main_v_state2(s392, c_c2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31252, 617, 31249])).
% 9.75/7.42 tff(31254,plain,
% 9.75/7.42 (m_main_v_state2(s392, c_c2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31253, 31238, 31234, 31198, 31191, 31187])).
% 9.75/7.42 tff(31255,plain,
% 9.75/7.42 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31256,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31257,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_t2)) | (~m_main_v_state2(s392, c_c2))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 9.75/7.42 tff(31258,plain,
% 9.75/7.42 (~m_main_v_state2(s392, c_t2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31257, 260, 31254])).
% 9.75/7.42 tff(31259,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s392, c_t2) | (~node12(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s392, c_t2) | (~node12(s392)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31260,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s392, c_t2) | (~node12(s392)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31261,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s392, c_t2) | (~node12(s392))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31260, 31259])).
% 9.75/7.42 tff(31262,plain,
% 9.75/7.42 (~node12(s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31261, 633, 31258])).
% 9.75/7.42 tff(31263,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s391, s392)) | node7(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s391, s392)) | node7(s391, s392))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31264,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s391, s392)) | node7(s391, s392))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31265,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s391, s392)) | node7(s391, s392)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 9.75/7.42 tff(31266,plain,
% 9.75/7.42 (node7(s391, s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31265, 206, 31245])).
% 9.75/7.42 tff(31267,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31268,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31269,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node7(s391, s392)) | m_main_v_state1(s392, c_t1)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31268, 31267])).
% 9.75/7.42 tff(31270,plain,
% 9.75/7.42 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | m_main_v_state1(s392, c_t1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31269, 651, 31266])).
% 9.75/7.42 tff(31271,plain,
% 9.75/7.42 (m_main_v_state1(s392, c_t1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31270, 31198, 31234])).
% 9.75/7.42 tff(31272,plain,
% 9.75/7.42 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31273,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31274,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s392, c_n1)) | (~m_main_v_state1(s392, c_t1))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 9.75/7.42 tff(31275,plain,
% 9.75/7.42 (~m_main_v_state1(s392, c_n1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31274, 10, 31271])).
% 9.75/7.42 tff(31276,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s392, c_n1) | (~node11(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s392, c_n1) | (~node11(s392)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31277,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s392, c_n1) | (~node11(s392)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31278,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s392, c_n1) | (~node11(s392))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31277, 31276])).
% 9.75/7.42 tff(31279,plain,
% 9.75/7.42 (~node11(s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31278, 238, 31275])).
% 9.75/7.42 tff(31280,plain,
% 9.75/7.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31281,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31282,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s392, c_t1)) | (~m_main_v_state1(s392, c_c1))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31281, 31280])).
% 9.75/7.42 tff(31283,plain,
% 9.75/7.42 (~m_main_v_state1(s392, c_c1)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31282, 539, 31271])).
% 9.75/7.42 tff(31284,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s392, c_c1) | (~node10(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s392, c_c1) | (~node10(s392)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31285,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s392, c_c1) | (~node10(s392)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31286,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s392, c_c1) | (~node10(s392))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 9.75/7.42 tff(31287,plain,
% 9.75/7.42 (~node10(s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31286, 675, 31283])).
% 9.75/7.42 tff(31288,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s392, c_n1) | (~node9(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s392, c_n1) | (~node9(s392)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31289,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s392, c_n1) | (~node9(s392)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31290,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s392, c_n1) | (~node9(s392))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31289, 31288])).
% 9.75/7.42 tff(31291,plain,
% 9.75/7.42 (~node9(s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31290, 686, 31275])).
% 9.75/7.42 tff(31292,plain,
% 9.75/7.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31293,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31294,plain,
% 9.75/7.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s392, c_n2)) | (~m_main_v_state2(s392, c_c2))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31293, 31292])).
% 9.75/7.42 tff(31295,plain,
% 9.75/7.42 (~m_main_v_state2(s392, c_n2)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31294, 697, 31254])).
% 9.75/7.42 tff(31296,plain,
% 9.75/7.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s392, c_n2) | (~node8(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s392, c_n2) | (~node8(s392)))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31297,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s392, c_n2) | (~node8(s392)))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31298,plain,
% 9.75/7.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s392, c_n2) | (~node8(s392))),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31297, 31296])).
% 9.75/7.42 tff(31299,plain,
% 9.75/7.42 (~node8(s392)),
% 9.75/7.42 inference(unit_resolution,[status(thm)],[31298, 271, 31295])).
% 9.75/7.42 tff(31300,plain,
% 9.75/7.42 (succ(s392, s393) <=> succ(s392, s393)),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31301,axiom,(succ(s392, s393)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound393')).
% 9.75/7.42 tff(31302,plain,
% 9.75/7.42 (succ(s392, s393)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 9.75/7.42 tff(31303,plain,
% 9.75/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393))),
% 9.75/7.42 inference(rewrite,[status(thm)],[])).
% 9.75/7.42 tff(31304,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))),
% 9.75/7.42 inference(quant_inst,[status(thm)],[])).
% 9.75/7.42 tff(31305,plain,
% 9.75/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393)),
% 9.75/7.42 inference(modus_ponens,[status(thm)],[31304, 31303])).
% 9.75/7.42 tff(31306,plain,
% 9.75/7.43 (trans(s392, s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31305, 31302, 32])).
% 9.75/7.43 tff(31307,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s392, s393)) | node14(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s392, s393)) | node14(s392, s393))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31308,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s392, s393)) | node14(s392, s393))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31309,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s392, s393)) | node14(s392, s393)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31308, 31307])).
% 9.75/7.43 tff(31310,plain,
% 9.75/7.43 (node14(s392, s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31309, 46, 31306])).
% 9.75/7.43 tff(31311,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31312,plain,
% 9.75/7.43 (((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2)) <=> (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31313,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2))))),
% 9.75/7.43 inference(monotonicity,[status(thm)],[31312])).
% 9.75/7.43 tff(31314,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2)))),
% 9.75/7.43 inference(transitivity,[status(thm)],[31313, 31311])).
% 9.75/7.43 tff(31315,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s392, c_c2)) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | m_main_v_state2(s393, c_n2))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31316,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~node14(s392, s393)) | (~m_main_v_state2(s392, c_c2))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31315, 31314])).
% 9.75/7.43 tff(31317,plain,
% 9.75/7.43 (m_main_v_state2(s393, c_n2) | node9(s392) | node8(s392) | node10(s392) | node11(s392) | node12(s392) | (~m_main_v_state2(s392, c_c2))),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31316, 726, 31310])).
% 9.75/7.43 tff(31318,plain,
% 9.75/7.43 (m_main_v_state2(s393, c_n2)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31317, 31299, 31254, 31291, 31287, 31279, 31262])).
% 9.75/7.43 tff(31319,plain,
% 9.75/7.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31320,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31321,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_c2))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 9.75/7.43 tff(31322,plain,
% 9.75/7.43 (~m_main_v_state2(s393, c_c2)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31321, 697, 31318])).
% 9.75/7.43 tff(31323,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s393, c_c2) | (~node3(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s393, c_c2) | (~node3(s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31324,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s393, c_c2) | (~node3(s393)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31325,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s393, c_c2) | (~node3(s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 9.75/7.43 tff(31326,plain,
% 9.75/7.43 (~node3(s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31325, 399, 31322])).
% 9.75/7.43 tff(31327,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s392, c_n1) | (~node1(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s392, c_n1) | (~node1(s392)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31328,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s392, c_n1) | (~node1(s392)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31329,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s392, c_n1) | (~node1(s392))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 9.75/7.43 tff(31330,plain,
% 9.75/7.43 (~node1(s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31329, 421, 31275])).
% 9.75/7.43 tff(31331,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s391, s392)) | node18(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s391, s392)) | node18(s391, s392))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31332,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s391, s392)) | node18(s391, s392))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31333,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s391, s392)) | node18(s391, s392)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 9.75/7.43 tff(31334,plain,
% 9.75/7.43 (node18(s391, s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31333, 125, 31245])).
% 9.75/7.43 tff(31335,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31336,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31337,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | (~node18(s391, s392)) | m_main_v_turn(s392, c_2)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31336, 31335])).
% 9.75/7.43 tff(31338,plain,
% 9.75/7.43 ((~m_main_v_state1(s391, c_n1)) | (~m_main_v_state2(s391, c_t2)) | m_main_v_turn(s392, c_2)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31337, 760, 31334])).
% 9.75/7.43 tff(31339,plain,
% 9.75/7.43 (m_main_v_turn(s392, c_2)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31338, 31198, 31234])).
% 9.75/7.43 tff(31340,plain,
% 9.75/7.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31341,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31342,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s392, c_1)) | (~m_main_v_turn(s392, c_2))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 9.75/7.43 tff(31343,plain,
% 9.75/7.43 (~m_main_v_turn(s392, c_1)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31342, 156, 31339])).
% 9.75/7.43 tff(31344,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s392, c_1) | (~node5(s392)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s392, c_1) | (~node5(s392)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31345,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s392, c_1) | (~node5(s392)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31346,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s392, c_1) | (~node5(s392))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31345, 31344])).
% 9.75/7.43 tff(31347,plain,
% 9.75/7.43 (~node5(s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31346, 776, 31343])).
% 9.75/7.43 tff(31348,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s392, c_n1) | (~node2(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s392, c_n1) | (~node2(s392)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31349,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s392, c_n1) | (~node2(s392)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31350,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s392, c_n1) | (~node2(s392))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31349, 31348])).
% 9.75/7.43 tff(31351,plain,
% 9.75/7.43 (~node2(s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31350, 787, 31275])).
% 9.75/7.43 tff(31352,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s392, c_n1) | (~node3(s392)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s392, c_n1) | (~node3(s392)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31353,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s392, c_n1) | (~node3(s392)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31354,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s392, c_n1) | (~node3(s392))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 9.75/7.43 tff(31355,plain,
% 9.75/7.43 (~node3(s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31354, 798, 31275])).
% 9.75/7.43 tff(31356,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s392, c_n2) | (~node4(s392)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s392, c_n2) | (~node4(s392)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31357,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s392, c_n2) | (~node4(s392)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31358,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s392, c_n2) | (~node4(s392))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 9.75/7.43 tff(31359,plain,
% 9.75/7.43 (~node4(s392)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31358, 388, 31295])).
% 9.75/7.43 tff(31360,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s392, s393)) | node7(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s392, s393)) | node7(s392, s393))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31361,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s392, s393)) | node7(s392, s393))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31362,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s392, s393)) | node7(s392, s393)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31361, 31360])).
% 9.75/7.43 tff(31363,plain,
% 9.75/7.43 (node7(s392, s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31362, 206, 31306])).
% 9.75/7.43 tff(31364,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31365,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31366,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393) | (~node7(s392, s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31365, 31364])).
% 9.75/7.43 tff(31367,plain,
% 9.75/7.43 (m_main_v_state1(s392, c_c1) | node1(s392) | node2(s392) | node3(s392) | node4(s392) | node5(s392) | node6(s392, s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31366, 820, 31363])).
% 9.75/7.43 tff(31368,plain,
% 9.75/7.43 (node6(s392, s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31367, 31359, 31283, 31355, 31351, 31347, 31330])).
% 9.75/7.43 tff(31369,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31370,plain,
% 9.75/7.43 (((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1))) <=> (m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31371,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393))))),
% 9.75/7.43 inference(monotonicity,[status(thm)],[31370])).
% 9.75/7.43 tff(31372,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393)))),
% 9.75/7.43 inference(transitivity,[status(thm)],[31371, 31369])).
% 9.75/7.43 tff(31373,plain,
% 9.75/7.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s392, s393)) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31374,plain,
% 9.75/7.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s392, c_n1) | (~m_main_v_state1(s393, c_n1)) | (~node6(s392, s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31373, 31372])).
% 9.75/7.43 tff(31375,plain,
% 9.75/7.43 (~m_main_v_state1(s393, c_n1)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31374, 835, 31275, 31368])).
% 9.75/7.43 tff(31376,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s393, c_n1) | (~node2(s393)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s393, c_n1) | (~node2(s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31377,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s393, c_n1) | (~node2(s393)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31378,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s393, c_n1) | (~node2(s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 9.75/7.43 tff(31379,plain,
% 9.75/7.43 (~node2(s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31378, 787, 31375])).
% 9.75/7.43 tff(31380,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31381,plain,
% 9.75/7.43 (((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1)) <=> ((~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31382,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393))))),
% 9.75/7.43 inference(monotonicity,[status(thm)],[31381])).
% 9.75/7.43 tff(31383,plain,
% 9.75/7.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393)))),
% 9.75/7.43 inference(transitivity,[status(thm)],[31382, 31380])).
% 9.75/7.43 tff(31384,plain,
% 9.75/7.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s392, s393)) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31385,plain,
% 9.75/7.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s392, c_t1)) | m_main_v_state1(s393, c_t1) | (~node6(s392, s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 9.75/7.43 tff(31386,plain,
% 9.75/7.43 (m_main_v_state1(s393, c_t1)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31385, 856, 31271, 31368])).
% 9.75/7.43 tff(31387,plain,
% 9.75/7.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31388,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31389,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s393, c_n2)) | (~m_main_v_state2(s393, c_t2))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31388, 31387])).
% 9.75/7.43 tff(31390,plain,
% 9.75/7.43 (~m_main_v_state2(s393, c_t2)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31389, 77, 31318])).
% 9.75/7.43 tff(31391,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s393, c_t2) | (~node1(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s393, c_t2) | (~node1(s393)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31392,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s393, c_t2) | (~node1(s393)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31393,plain,
% 9.75/7.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s393, c_t2) | (~node1(s393))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 9.75/7.43 tff(31394,plain,
% 9.75/7.43 (~node1(s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31393, 195, 31390])).
% 9.75/7.43 tff(31395,plain,
% 9.75/7.43 (succ(s393, s394) <=> succ(s393, s394)),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31396,axiom,(succ(s393, s394)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound394')).
% 9.75/7.43 tff(31397,plain,
% 9.75/7.43 (succ(s393, s394)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31396, 31395])).
% 9.75/7.43 tff(31398,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31399,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31400,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31399, 31398])).
% 9.75/7.43 tff(31401,plain,
% 9.75/7.43 (trans(s393, s394)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31400, 31397, 32])).
% 9.75/7.43 tff(31402,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s393, s394)) | node7(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s393, s394)) | node7(s393, s394))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31403,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s393, s394)) | node7(s393, s394))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31404,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s393, s394)) | node7(s393, s394)),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31403, 31402])).
% 9.75/7.43 tff(31405,plain,
% 9.75/7.43 (node7(s393, s394)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31404, 206, 31401])).
% 9.75/7.43 tff(31406,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31407,plain,
% 9.75/7.43 (((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1)) <=> ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31408,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394))))),
% 9.75/7.43 inference(monotonicity,[status(thm)],[31407])).
% 9.75/7.43 tff(31409,plain,
% 9.75/7.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)))),
% 9.75/7.43 inference(transitivity,[status(thm)],[31408, 31406])).
% 9.75/7.43 tff(31410,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394)) | m_main_v_state1(s394, c_c1))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31411,plain,
% 9.75/7.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393) | (~node7(s393, s394))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31410, 31409])).
% 9.75/7.43 tff(31412,plain,
% 9.75/7.43 ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state1(s394, c_c1) | node1(s393) | node2(s393) | node3(s393)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31411, 892, 31405])).
% 9.75/7.43 tff(31413,plain,
% 9.75/7.43 (m_main_v_state1(s394, c_c1)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31412, 31394, 31318, 31386, 31379, 31326])).
% 9.75/7.43 tff(31414,plain,
% 9.75/7.43 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))),
% 9.75/7.43 inference(rewrite,[status(thm)],[])).
% 9.75/7.43 tff(31415,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1)))),
% 9.75/7.43 inference(quant_inst,[status(thm)],[])).
% 9.75/7.43 tff(31416,plain,
% 9.75/7.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_t1)) | (~m_main_v_state1(s394, c_c1))),
% 9.75/7.43 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 9.75/7.43 tff(31417,plain,
% 9.75/7.43 (~m_main_v_state1(s394, c_t1)),
% 9.75/7.43 inference(unit_resolution,[status(thm)],[31416, 539, 31413])).
% 9.75/7.43 tff(31418,plain,
% 9.75/7.43 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s394, c_t1) | (~node5(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s394, c_t1) | (~node5(s394)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31419,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s394, c_t1) | (~node5(s394)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31420,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s394, c_t1) | (~node5(s394))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31419, 31418])).
% 9.75/7.44 tff(31421,plain,
% 9.75/7.44 (~node5(s394)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31420, 550, 31417])).
% 9.75/7.44 tff(31422,plain,
% 9.75/7.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s393, s394)) | node14(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s393, s394)) | node14(s393, s394))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31423,plain,
% 9.75/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s393, s394)) | node14(s393, s394))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31424,plain,
% 9.75/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s393, s394)) | node14(s393, s394)),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 9.75/7.44 tff(31425,plain,
% 9.75/7.44 (node14(s393, s394)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31424, 46, 31401])).
% 9.75/7.44 tff(31426,plain,
% 9.75/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31427,plain,
% 9.75/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31428,plain,
% 9.75/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | (~node14(s393, s394)) | m_main_v_state2(s394, c_t2)),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31427, 31426])).
% 9.75/7.44 tff(31429,plain,
% 9.75/7.44 ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_state2(s394, c_t2)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31428, 922, 31425])).
% 9.75/7.44 tff(31430,plain,
% 9.75/7.44 (m_main_v_state2(s394, c_t2)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31429, 31386, 31318])).
% 9.75/7.44 tff(31431,plain,
% 9.75/7.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31432,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31433,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s394, c_n2)) | (~m_main_v_state2(s394, c_t2))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 9.75/7.44 tff(31434,plain,
% 9.75/7.44 (~m_main_v_state2(s394, c_n2)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31433, 77, 31430])).
% 9.75/7.44 tff(31435,plain,
% 9.75/7.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s394, c_n2) | (~node4(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s394, c_n2) | (~node4(s394)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31436,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s394, c_n2) | (~node4(s394)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31437,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s394, c_n2) | (~node4(s394))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31436, 31435])).
% 9.75/7.44 tff(31438,plain,
% 9.75/7.44 (~node4(s394)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31437, 388, 31434])).
% 9.75/7.44 tff(31439,plain,
% 9.75/7.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31440,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31441,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s394, c_t2)) | (~m_main_v_state2(s394, c_c2))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31440, 31439])).
% 9.75/7.44 tff(31442,plain,
% 9.75/7.44 (~m_main_v_state2(s394, c_c2)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31441, 260, 31430])).
% 9.75/7.44 tff(31443,plain,
% 9.75/7.44 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s394, c_c2) | (~node3(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s394, c_c2) | (~node3(s394)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31444,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s394, c_c2) | (~node3(s394)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31445,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s394, c_c2) | (~node3(s394))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31444, 31443])).
% 9.75/7.44 tff(31446,plain,
% 9.75/7.44 (~node3(s394)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31445, 399, 31442])).
% 9.75/7.44 tff(31447,plain,
% 9.75/7.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s394, c_n2) | (~node2(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s394, c_n2) | (~node2(s394)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31448,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s394, c_n2) | (~node2(s394)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31449,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s394, c_n2) | (~node2(s394))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31448, 31447])).
% 9.75/7.44 tff(31450,plain,
% 9.75/7.44 (~node2(s394)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31449, 410, 31434])).
% 9.75/7.44 tff(31451,plain,
% 9.75/7.44 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31452,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1)))),
% 9.75/7.44 inference(quant_inst,[status(thm)],[])).
% 9.75/7.44 tff(31453,plain,
% 9.75/7.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s394, c_n1)) | (~m_main_v_state1(s394, c_c1))),
% 9.75/7.44 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 9.75/7.44 tff(31454,plain,
% 9.75/7.44 (~m_main_v_state1(s394, c_n1)),
% 9.75/7.44 inference(unit_resolution,[status(thm)],[31453, 454, 31413])).
% 9.75/7.44 tff(31455,plain,
% 9.75/7.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s394, c_n1) | (~node1(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s394, c_n1) | (~node1(s394)))),
% 9.75/7.44 inference(rewrite,[status(thm)],[])).
% 9.75/7.44 tff(31456,plain,
% 9.75/7.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s394, c_n1) | (~node1(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31457,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s394, c_n1) | (~node1(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 9.81/7.44 tff(31458,plain,
% 9.81/7.44 (~node1(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31457, 421, 31454])).
% 9.81/7.44 tff(31459,plain,
% 9.81/7.44 (succ(s394, s395) <=> succ(s394, s395)),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31460,axiom,(succ(s394, s395)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound395')).
% 9.81/7.44 tff(31461,plain,
% 9.81/7.44 (succ(s394, s395)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 9.81/7.44 tff(31462,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31463,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31464,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31463, 31462])).
% 9.81/7.44 tff(31465,plain,
% 9.81/7.44 (trans(s394, s395)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31464, 31461, 32])).
% 9.81/7.44 tff(31466,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s394, s395)) | node7(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s394, s395)) | node7(s394, s395))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31467,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s394, s395)) | node7(s394, s395))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31468,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s394, s395)) | node7(s394, s395)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31467, 31466])).
% 9.81/7.44 tff(31469,plain,
% 9.81/7.44 (node7(s394, s395)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31468, 206, 31465])).
% 9.81/7.44 tff(31470,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31471,plain,
% 9.81/7.44 (((~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1)) <=> (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31472,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395))))),
% 9.81/7.44 inference(monotonicity,[status(thm)],[31471])).
% 9.81/7.44 tff(31473,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)))),
% 9.81/7.44 inference(transitivity,[status(thm)],[31472, 31470])).
% 9.81/7.44 tff(31474,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395)) | m_main_v_state1(s395, c_n1))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31475,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394) | (~node7(s394, s395))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 9.81/7.44 tff(31476,plain,
% 9.81/7.44 (m_main_v_state1(s395, c_n1) | (~m_main_v_state1(s394, c_c1)) | node1(s394) | node2(s394) | node3(s394) | node4(s394) | node5(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31475, 584, 31469])).
% 9.81/7.44 tff(31477,plain,
% 9.81/7.44 (m_main_v_state1(s395, c_n1)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31476, 31458, 31413, 31450, 31446, 31438, 31421])).
% 9.81/7.44 tff(31478,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s393, c_t2) | (~node15(s393)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s393, c_t2) | (~node15(s393)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31479,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s393, c_t2) | (~node15(s393)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31480,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s393, c_t2) | (~node15(s393))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31479, 31478])).
% 9.81/7.44 tff(31481,plain,
% 9.81/7.44 (~node15(s393)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31480, 103, 31390])).
% 9.81/7.44 tff(31482,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s393, s394)) | node18(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s393, s394)) | node18(s393, s394))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31483,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s393, s394)) | node18(s393, s394))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31484,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s393, s394)) | node18(s393, s394)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31483, 31482])).
% 9.81/7.44 tff(31485,plain,
% 9.81/7.44 (node18(s393, s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31484, 125, 31401])).
% 9.81/7.44 tff(31486,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31487,plain,
% 9.81/7.44 (((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1)) <=> (node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31488,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)))),
% 9.81/7.44 inference(monotonicity,[status(thm)],[31487])).
% 9.81/7.44 tff(31489,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1))),
% 9.81/7.44 inference(transitivity,[status(thm)],[31488, 31486])).
% 9.81/7.44 tff(31490,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | node15(s393) | (~node18(s393, s394)) | m_main_v_turn(s394, c_1))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31491,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s393) | (~node18(s393, s394)) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 9.81/7.44 tff(31492,plain,
% 9.81/7.44 (node15(s393) | (~m_main_v_state1(s393, c_t1)) | (~m_main_v_state2(s393, c_n2)) | m_main_v_turn(s394, c_1)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31491, 992, 31485])).
% 9.81/7.44 tff(31493,plain,
% 9.81/7.44 (m_main_v_turn(s394, c_1)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31492, 31481, 31318, 31386])).
% 9.81/7.44 tff(31494,plain,
% 9.81/7.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31495,plain,
% 9.81/7.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31496,plain,
% 9.81/7.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s394, c_1)) | (~m_main_v_turn(s394, c_2))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 9.81/7.44 tff(31497,plain,
% 9.81/7.44 (~m_main_v_turn(s394, c_2)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31496, 156, 31493])).
% 9.81/7.44 tff(31498,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s394, c_2) | (~node12(s394)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s394, c_2) | (~node12(s394)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31499,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s394, c_2) | (~node12(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31500,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s394, c_2) | (~node12(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 9.81/7.44 tff(31501,plain,
% 9.81/7.44 (~node12(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31500, 184, 31497])).
% 9.81/7.44 tff(31502,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s394, c_n2) | (~node8(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s394, c_n2) | (~node8(s394)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31503,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s394, c_n2) | (~node8(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31504,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s394, c_n2) | (~node8(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 9.81/7.44 tff(31505,plain,
% 9.81/7.44 (~node8(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31504, 271, 31434])).
% 9.81/7.44 tff(31506,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s394, c_n2) | (~node9(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s394, c_n2) | (~node9(s394)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31507,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s394, c_n2) | (~node9(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31508,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s394, c_n2) | (~node9(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31507, 31506])).
% 9.81/7.44 tff(31509,plain,
% 9.81/7.44 (~node9(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31508, 88, 31434])).
% 9.81/7.44 tff(31510,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s394, c_n2) | (~node10(s394)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s394, c_n2) | (~node10(s394)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31511,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s394, c_n2) | (~node10(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31512,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s394, c_n2) | (~node10(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 9.81/7.44 tff(31513,plain,
% 9.81/7.44 (~node10(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31512, 249, 31434])).
% 9.81/7.44 tff(31514,plain,
% 9.81/7.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s394, c_n1) | (~node11(s394)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s394, c_n1) | (~node11(s394)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31515,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s394, c_n1) | (~node11(s394)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31516,plain,
% 9.81/7.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s394, c_n1) | (~node11(s394))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31515, 31514])).
% 9.81/7.44 tff(31517,plain,
% 9.81/7.44 (~node11(s394)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31516, 238, 31454])).
% 9.81/7.44 tff(31518,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s394, s395)) | node14(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s394, s395)) | node14(s394, s395))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31519,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s394, s395)) | node14(s394, s395))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31520,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s394, s395)) | node14(s394, s395)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31519, 31518])).
% 9.81/7.44 tff(31521,plain,
% 9.81/7.44 (node14(s394, s395)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31520, 46, 31465])).
% 9.81/7.44 tff(31522,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31523,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395)))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31524,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395) | (~node14(s394, s395))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31523, 31522])).
% 9.81/7.44 tff(31525,plain,
% 9.81/7.44 (m_main_v_state2(s394, c_c2) | node9(s394) | node8(s394) | node10(s394) | node11(s394) | node12(s394) | node13(s394, s395)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31524, 296, 31521])).
% 9.81/7.44 tff(31526,plain,
% 9.81/7.44 (node13(s394, s395)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31525, 31517, 31442, 31513, 31509, 31505, 31501])).
% 9.81/7.44 tff(31527,plain,
% 9.81/7.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31528,plain,
% 9.81/7.44 (((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2)) <=> ((~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31529,plain,
% 9.81/7.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395))))),
% 9.81/7.44 inference(monotonicity,[status(thm)],[31528])).
% 9.81/7.44 tff(31530,plain,
% 9.81/7.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395)))),
% 9.81/7.44 inference(transitivity,[status(thm)],[31529, 31527])).
% 9.81/7.44 tff(31531,plain,
% 9.81/7.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s394, s395)) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31532,plain,
% 9.81/7.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s394, c_t2)) | m_main_v_state2(s395, c_t2) | (~node13(s394, s395))),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 9.81/7.44 tff(31533,plain,
% 9.81/7.44 (m_main_v_state2(s395, c_t2)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31532, 518, 31430, 31526])).
% 9.81/7.44 tff(31534,plain,
% 9.81/7.44 (succ(s395, s396) <=> succ(s395, s396)),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31535,axiom,(succ(s395, s396)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound396')).
% 9.81/7.44 tff(31536,plain,
% 9.81/7.44 (succ(s395, s396)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31535, 31534])).
% 9.81/7.44 tff(31537,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31538,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31539,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31538, 31537])).
% 9.81/7.44 tff(31540,plain,
% 9.81/7.44 (trans(s395, s396)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31539, 31536, 32])).
% 9.81/7.44 tff(31541,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s395, s396)) | node7(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s395, s396)) | node7(s395, s396))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31542,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s395, s396)) | node7(s395, s396))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31543,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s395, s396)) | node7(s395, s396)),
% 9.81/7.44 inference(modus_ponens,[status(thm)],[31542, 31541])).
% 9.81/7.44 tff(31544,plain,
% 9.81/7.44 (node7(s395, s396)),
% 9.81/7.44 inference(unit_resolution,[status(thm)],[31543, 206, 31540])).
% 9.81/7.44 tff(31545,plain,
% 9.81/7.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1))),
% 9.81/7.44 inference(rewrite,[status(thm)],[])).
% 9.81/7.44 tff(31546,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1))),
% 9.81/7.44 inference(quant_inst,[status(thm)],[])).
% 9.81/7.44 tff(31547,plain,
% 9.81/7.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node7(s395, s396)) | m_main_v_state1(s396, c_t1)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31546, 31545])).
% 9.81/7.45 tff(31548,plain,
% 9.81/7.45 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | m_main_v_state1(s396, c_t1)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31547, 651, 31544])).
% 9.81/7.45 tff(31549,plain,
% 9.81/7.45 (m_main_v_state1(s396, c_t1)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31548, 31533, 31477])).
% 9.81/7.45 tff(31550,plain,
% 9.81/7.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31551,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31552,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s396, c_n1)) | (~m_main_v_state1(s396, c_t1))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31551, 31550])).
% 9.81/7.45 tff(31553,plain,
% 9.81/7.45 (~m_main_v_state1(s396, c_n1)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31552, 10, 31549])).
% 9.81/7.45 tff(31554,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s396, c_n1) | (~node1(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s396, c_n1) | (~node1(s396)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31555,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s396, c_n1) | (~node1(s396)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31556,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s396, c_n1) | (~node1(s396))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31555, 31554])).
% 9.81/7.45 tff(31557,plain,
% 9.81/7.45 (~node1(s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31556, 421, 31553])).
% 9.81/7.45 tff(31558,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s395, s396)) | node18(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s395, s396)) | node18(s395, s396))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31559,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s395, s396)) | node18(s395, s396))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31560,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s395, s396)) | node18(s395, s396)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31559, 31558])).
% 9.81/7.45 tff(31561,plain,
% 9.81/7.45 (node18(s395, s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31560, 125, 31540])).
% 9.81/7.45 tff(31562,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31563,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31564,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | (~node18(s395, s396)) | m_main_v_turn(s396, c_2)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31563, 31562])).
% 9.81/7.45 tff(31565,plain,
% 9.81/7.45 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | m_main_v_turn(s396, c_2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31564, 760, 31561])).
% 9.81/7.45 tff(31566,plain,
% 9.81/7.45 (m_main_v_turn(s396, c_2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31565, 31533, 31477])).
% 9.81/7.45 tff(31567,plain,
% 9.81/7.45 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31568,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31569,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s396, c_1)) | (~m_main_v_turn(s396, c_2))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 9.81/7.45 tff(31570,plain,
% 9.81/7.45 (~m_main_v_turn(s396, c_1)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31569, 156, 31566])).
% 9.81/7.45 tff(31571,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s396, c_1) | (~node5(s396)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s396, c_1) | (~node5(s396)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31572,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s396, c_1) | (~node5(s396)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31573,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s396, c_1) | (~node5(s396))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 9.81/7.45 tff(31574,plain,
% 9.81/7.45 (~node5(s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31573, 776, 31570])).
% 9.81/7.45 tff(31575,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s396, c_n1) | (~node2(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s396, c_n1) | (~node2(s396)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31576,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s396, c_n1) | (~node2(s396)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31577,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s396, c_n1) | (~node2(s396))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 9.81/7.45 tff(31578,plain,
% 9.81/7.45 (~node2(s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31577, 787, 31553])).
% 9.81/7.45 tff(31579,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s396, c_n1) | (~node3(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s396, c_n1) | (~node3(s396)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31580,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s396, c_n1) | (~node3(s396)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31581,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s396, c_n1) | (~node3(s396))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31580, 31579])).
% 9.81/7.45 tff(31582,plain,
% 9.81/7.45 (~node3(s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31581, 798, 31553])).
% 9.81/7.45 tff(31583,plain,
% 9.81/7.45 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31584,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31585,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s396, c_t1)) | (~m_main_v_state1(s396, c_c1))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 9.81/7.45 tff(31586,plain,
% 9.81/7.45 (~m_main_v_state1(s396, c_c1)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31585, 539, 31549])).
% 9.81/7.45 tff(31587,plain,
% 9.81/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31588,plain,
% 9.81/7.45 (((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2))) <=> (m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31589,plain,
% 9.81/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395))))),
% 9.81/7.45 inference(monotonicity,[status(thm)],[31588])).
% 9.81/7.45 tff(31590,plain,
% 9.81/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395)))),
% 9.81/7.45 inference(transitivity,[status(thm)],[31589, 31587])).
% 9.81/7.45 tff(31591,plain,
% 9.81/7.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s394, s395)) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31592,plain,
% 9.81/7.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s394, c_n2) | (~m_main_v_state2(s395, c_n2)) | (~node13(s394, s395))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31591, 31590])).
% 9.81/7.45 tff(31593,plain,
% 9.81/7.45 (~m_main_v_state2(s395, c_n2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31592, 311, 31434, 31526])).
% 9.81/7.45 tff(31594,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s395, c_n2) | (~node9(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s395, c_n2) | (~node9(s395)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31595,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s395, c_n2) | (~node9(s395)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31596,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s395, c_n2) | (~node9(s395))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 9.81/7.45 tff(31597,plain,
% 9.81/7.45 (~node9(s395)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31596, 88, 31593])).
% 9.81/7.45 tff(31598,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s395, c_n2) | (~node10(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s395, c_n2) | (~node10(s395)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31599,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s395, c_n2) | (~node10(s395)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31600,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s395, c_n2) | (~node10(s395))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31599, 31598])).
% 9.81/7.45 tff(31601,plain,
% 9.81/7.45 (~node10(s395)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31600, 249, 31593])).
% 9.81/7.45 tff(31602,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s395, c_n2) | (~node8(s395)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s395, c_n2) | (~node8(s395)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31603,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s395, c_n2) | (~node8(s395)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31604,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s395, c_n2) | (~node8(s395))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 9.81/7.45 tff(31605,plain,
% 9.81/7.45 (~node8(s395)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31604, 271, 31593])).
% 9.81/7.45 tff(31606,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s395, s396)) | node14(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s395, s396)) | node14(s395, s396))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31607,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s395, s396)) | node14(s395, s396))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31608,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s395, s396)) | node14(s395, s396)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 9.81/7.45 tff(31609,plain,
% 9.81/7.45 (node14(s395, s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31608, 46, 31540])).
% 9.81/7.45 tff(31610,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31611,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31612,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | (~node14(s395, s396)) | m_main_v_state2(s396, c_c2)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31611, 31610])).
% 9.81/7.45 tff(31613,plain,
% 9.81/7.45 ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state2(s395, c_t2)) | node9(s395) | node8(s395) | node10(s395) | m_main_v_state2(s396, c_c2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31612, 617, 31609])).
% 9.81/7.45 tff(31614,plain,
% 9.81/7.45 (m_main_v_state2(s396, c_c2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31613, 31605, 31477, 31533, 31601, 31597])).
% 9.81/7.45 tff(31615,plain,
% 9.81/7.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31616,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31617,plain,
% 9.81/7.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_n2)) | (~m_main_v_state2(s396, c_c2))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 9.81/7.45 tff(31618,plain,
% 9.81/7.45 (~m_main_v_state2(s396, c_n2)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31617, 697, 31614])).
% 9.81/7.45 tff(31619,plain,
% 9.81/7.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s396, c_n2) | (~node4(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s396, c_n2) | (~node4(s396)))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31620,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s396, c_n2) | (~node4(s396)))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31621,plain,
% 9.81/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s396, c_n2) | (~node4(s396))),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 9.81/7.45 tff(31622,plain,
% 9.81/7.45 (~node4(s396)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31621, 388, 31618])).
% 9.81/7.45 tff(31623,plain,
% 9.81/7.45 (succ(s396, s397) <=> succ(s396, s397)),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31624,axiom,(succ(s396, s397)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound397')).
% 9.81/7.45 tff(31625,plain,
% 9.81/7.45 (succ(s396, s397)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31624, 31623])).
% 9.81/7.45 tff(31626,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31627,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))),
% 9.81/7.45 inference(quant_inst,[status(thm)],[])).
% 9.81/7.45 tff(31628,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397)),
% 9.81/7.45 inference(modus_ponens,[status(thm)],[31627, 31626])).
% 9.81/7.45 tff(31629,plain,
% 9.81/7.45 (trans(s396, s397)),
% 9.81/7.45 inference(unit_resolution,[status(thm)],[31628, 31625, 32])).
% 9.81/7.45 tff(31630,plain,
% 9.81/7.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s396, s397)) | node7(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s396, s397)) | node7(s396, s397))),
% 9.81/7.45 inference(rewrite,[status(thm)],[])).
% 9.81/7.45 tff(31631,plain,
% 9.81/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s396, s397)) | node7(s396, s397))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31632,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s396, s397)) | node7(s396, s397)),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31631, 31630])).
% 9.82/7.45 tff(31633,plain,
% 9.82/7.45 (node7(s396, s397)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31632, 206, 31629])).
% 9.82/7.45 tff(31634,plain,
% 9.82/7.45 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31635,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31636,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397) | (~node7(s396, s397))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31635, 31634])).
% 9.82/7.45 tff(31637,plain,
% 9.82/7.45 (m_main_v_state1(s396, c_c1) | node1(s396) | node2(s396) | node3(s396) | node4(s396) | node5(s396) | node6(s396, s397)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31636, 820, 31633])).
% 9.82/7.45 tff(31638,plain,
% 9.82/7.45 (node6(s396, s397)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31637, 31622, 31586, 31582, 31578, 31574, 31557])).
% 9.82/7.45 tff(31639,plain,
% 9.82/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31640,plain,
% 9.82/7.45 (((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1)) <=> ((~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31641,plain,
% 9.82/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397))))),
% 9.82/7.45 inference(monotonicity,[status(thm)],[31640])).
% 9.82/7.45 tff(31642,plain,
% 9.82/7.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397)))),
% 9.82/7.45 inference(transitivity,[status(thm)],[31641, 31639])).
% 9.82/7.45 tff(31643,plain,
% 9.82/7.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s396, s397)) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31644,plain,
% 9.82/7.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s396, c_t1)) | m_main_v_state1(s397, c_t1) | (~node6(s396, s397))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31643, 31642])).
% 9.82/7.45 tff(31645,plain,
% 9.82/7.45 (m_main_v_state1(s397, c_t1)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31644, 856, 31549, 31638])).
% 9.82/7.45 tff(31646,plain,
% 9.82/7.45 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31647,plain,
% 9.82/7.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31648,plain,
% 9.82/7.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s396, c_t2)) | (~m_main_v_state2(s396, c_c2))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 9.82/7.45 tff(31649,plain,
% 9.82/7.45 (~m_main_v_state2(s396, c_t2)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31648, 260, 31614])).
% 9.82/7.45 tff(31650,plain,
% 9.82/7.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s396, c_t2) | (~node12(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s396, c_t2) | (~node12(s396)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31651,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s396, c_t2) | (~node12(s396)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31652,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s396, c_t2) | (~node12(s396))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 9.82/7.45 tff(31653,plain,
% 9.82/7.45 (~node12(s396)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31652, 633, 31649])).
% 9.82/7.45 tff(31654,plain,
% 9.82/7.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s396, c_n1) | (~node11(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s396, c_n1) | (~node11(s396)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31655,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s396, c_n1) | (~node11(s396)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31656,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s396, c_n1) | (~node11(s396))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31655, 31654])).
% 9.82/7.45 tff(31657,plain,
% 9.82/7.45 (~node11(s396)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31656, 238, 31553])).
% 9.82/7.45 tff(31658,plain,
% 9.82/7.45 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s396, c_c1) | (~node10(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s396, c_c1) | (~node10(s396)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31659,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s396, c_c1) | (~node10(s396)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31660,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s396, c_c1) | (~node10(s396))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 9.82/7.45 tff(31661,plain,
% 9.82/7.45 (~node10(s396)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31660, 675, 31586])).
% 9.82/7.45 tff(31662,plain,
% 9.82/7.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s396, c_n1) | (~node9(s396)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s396, c_n1) | (~node9(s396)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31663,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s396, c_n1) | (~node9(s396)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31664,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s396, c_n1) | (~node9(s396))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 9.82/7.45 tff(31665,plain,
% 9.82/7.45 (~node9(s396)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31664, 686, 31553])).
% 9.82/7.45 tff(31666,plain,
% 9.82/7.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s396, c_n2) | (~node8(s396)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s396, c_n2) | (~node8(s396)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31667,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s396, c_n2) | (~node8(s396)))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31668,plain,
% 9.82/7.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s396, c_n2) | (~node8(s396))),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 9.82/7.45 tff(31669,plain,
% 9.82/7.45 (~node8(s396)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31668, 271, 31618])).
% 9.82/7.45 tff(31670,plain,
% 9.82/7.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s396, s397)) | node14(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s396, s397)) | node14(s396, s397))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31671,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s396, s397)) | node14(s396, s397))),
% 9.82/7.45 inference(quant_inst,[status(thm)],[])).
% 9.82/7.45 tff(31672,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s396, s397)) | node14(s396, s397)),
% 9.82/7.45 inference(modus_ponens,[status(thm)],[31671, 31670])).
% 9.82/7.45 tff(31673,plain,
% 9.82/7.45 (node14(s396, s397)),
% 9.82/7.45 inference(unit_resolution,[status(thm)],[31672, 46, 31629])).
% 9.82/7.45 tff(31674,plain,
% 9.82/7.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31675,plain,
% 9.82/7.45 (((~m_main_v_state2(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2)) <=> (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 9.82/7.45 inference(rewrite,[status(thm)],[])).
% 9.82/7.45 tff(31676,plain,
% 9.82/7.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2))))),
% 9.82/7.45 inference(monotonicity,[status(thm)],[31675])).
% 9.82/7.45 tff(31677,plain,
% 9.82/7.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2)))),
% 9.82/7.45 inference(transitivity,[status(thm)],[31676, 31674])).
% 9.82/7.45 tff(31678,plain,
% 9.82/7.45 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s396, c_c2)) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | m_main_v_state2(s397, c_n2))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31679,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~node14(s396, s397)) | (~m_main_v_state2(s396, c_c2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 9.82/7.46 tff(31680,plain,
% 9.82/7.46 (m_main_v_state2(s397, c_n2) | node9(s396) | node8(s396) | node10(s396) | node11(s396) | node12(s396) | (~m_main_v_state2(s396, c_c2))),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31679, 726, 31673])).
% 9.82/7.46 tff(31681,plain,
% 9.82/7.46 (m_main_v_state2(s397, c_n2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31680, 31669, 31614, 31665, 31661, 31657, 31653])).
% 9.82/7.46 tff(31682,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31683,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31684,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_t2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31683, 31682])).
% 9.82/7.46 tff(31685,plain,
% 9.82/7.46 (~m_main_v_state2(s397, c_t2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31684, 77, 31681])).
% 9.82/7.46 tff(31686,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s397, c_t2) | (~node15(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s397, c_t2) | (~node15(s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31687,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s397, c_t2) | (~node15(s397)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31688,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s397, c_t2) | (~node15(s397))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 9.82/7.46 tff(31689,plain,
% 9.82/7.46 (~node15(s397)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31688, 103, 31685])).
% 9.82/7.46 tff(31690,plain,
% 9.82/7.46 (succ(s397, s398) <=> succ(s397, s398)),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31691,axiom,(succ(s397, s398)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound398')).
% 9.82/7.46 tff(31692,plain,
% 9.82/7.46 (succ(s397, s398)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31691, 31690])).
% 9.82/7.46 tff(31693,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31694,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31695,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 9.82/7.46 tff(31696,plain,
% 9.82/7.46 (trans(s397, s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31695, 31692, 32])).
% 9.82/7.46 tff(31697,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s397, s398)) | node18(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s397, s398)) | node18(s397, s398))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31698,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s397, s398)) | node18(s397, s398))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31699,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s397, s398)) | node18(s397, s398)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 9.82/7.46 tff(31700,plain,
% 9.82/7.46 (node18(s397, s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31699, 125, 31696])).
% 9.82/7.46 tff(31701,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31702,plain,
% 9.82/7.46 (((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1)) <=> (node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31703,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)))),
% 9.82/7.46 inference(monotonicity,[status(thm)],[31702])).
% 9.82/7.46 tff(31704,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1))),
% 9.82/7.46 inference(transitivity,[status(thm)],[31703, 31701])).
% 9.82/7.46 tff(31705,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node15(s397) | (~node18(s397, s398)) | m_main_v_turn(s398, c_1))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31706,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s397) | (~node18(s397, s398)) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 9.82/7.46 tff(31707,plain,
% 9.82/7.46 (node15(s397) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_turn(s398, c_1)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31706, 992, 31700])).
% 9.82/7.46 tff(31708,plain,
% 9.82/7.46 (m_main_v_turn(s398, c_1)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31707, 31689, 31681, 31645])).
% 9.82/7.46 tff(31709,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31710,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31711,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s398, c_1)) | (~m_main_v_turn(s398, c_2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31710, 31709])).
% 9.82/7.46 tff(31712,plain,
% 9.82/7.46 (~m_main_v_turn(s398, c_2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31711, 156, 31708])).
% 9.82/7.46 tff(31713,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s398, c_2) | (~node12(s398)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s398, c_2) | (~node12(s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31714,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s398, c_2) | (~node12(s398)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31715,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s398, c_2) | (~node12(s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31714, 31713])).
% 9.82/7.46 tff(31716,plain,
% 9.82/7.46 (~node12(s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31715, 184, 31712])).
% 9.82/7.46 tff(31717,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s397, s398)) | node14(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s397, s398)) | node14(s397, s398))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31718,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s397, s398)) | node14(s397, s398))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31719,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s397, s398)) | node14(s397, s398)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 9.82/7.46 tff(31720,plain,
% 9.82/7.46 (node14(s397, s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31719, 46, 31696])).
% 9.82/7.46 tff(31721,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31722,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31723,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | (~node14(s397, s398)) | m_main_v_state2(s398, c_t2)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 9.82/7.46 tff(31724,plain,
% 9.82/7.46 ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state2(s398, c_t2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31723, 922, 31720])).
% 9.82/7.46 tff(31725,plain,
% 9.82/7.46 (m_main_v_state2(s398, c_t2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31724, 31645, 31681])).
% 9.82/7.46 tff(31726,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31727,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31728,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s398, c_n2)) | (~m_main_v_state2(s398, c_t2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 9.82/7.46 tff(31729,plain,
% 9.82/7.46 (~m_main_v_state2(s398, c_n2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31728, 77, 31725])).
% 9.82/7.46 tff(31730,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s398, c_n2) | (~node8(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s398, c_n2) | (~node8(s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31731,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s398, c_n2) | (~node8(s398)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31732,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s398, c_n2) | (~node8(s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31731, 31730])).
% 9.82/7.46 tff(31733,plain,
% 9.82/7.46 (~node8(s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31732, 271, 31729])).
% 9.82/7.46 tff(31734,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s398, c_n2) | (~node9(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s398, c_n2) | (~node9(s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31735,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s398, c_n2) | (~node9(s398)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31736,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s398, c_n2) | (~node9(s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31735, 31734])).
% 9.82/7.46 tff(31737,plain,
% 9.82/7.46 (~node9(s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31736, 88, 31729])).
% 9.82/7.46 tff(31738,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s398, c_n2) | (~node10(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s398, c_n2) | (~node10(s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31739,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s398, c_n2) | (~node10(s398)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31740,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s398, c_n2) | (~node10(s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31739, 31738])).
% 9.82/7.46 tff(31741,plain,
% 9.82/7.46 (~node10(s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31740, 249, 31729])).
% 9.82/7.46 tff(31742,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31743,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31744,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s398, c_t2)) | (~m_main_v_state2(s398, c_c2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 9.82/7.46 tff(31745,plain,
% 9.82/7.46 (~m_main_v_state2(s398, c_c2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31744, 260, 31725])).
% 9.82/7.46 tff(31746,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31747,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31748,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s397, c_n2)) | (~m_main_v_state2(s397, c_c2))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 9.82/7.46 tff(31749,plain,
% 9.82/7.46 (~m_main_v_state2(s397, c_c2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31748, 697, 31681])).
% 9.82/7.46 tff(31750,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s397, c_c2) | (~node3(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s397, c_c2) | (~node3(s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31751,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s397, c_c2) | (~node3(s397)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31752,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s397, c_c2) | (~node3(s397))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31751, 31750])).
% 9.82/7.46 tff(31753,plain,
% 9.82/7.46 (~node3(s397)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31752, 399, 31749])).
% 9.82/7.46 tff(31754,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31755,plain,
% 9.82/7.46 (((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1))) <=> (m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31756,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397))))),
% 9.82/7.46 inference(monotonicity,[status(thm)],[31755])).
% 9.82/7.46 tff(31757,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397)))),
% 9.82/7.46 inference(transitivity,[status(thm)],[31756, 31754])).
% 9.82/7.46 tff(31758,plain,
% 9.82/7.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s396, s397)) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31759,plain,
% 9.82/7.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s396, c_n1) | (~m_main_v_state1(s397, c_n1)) | (~node6(s396, s397))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 9.82/7.46 tff(31760,plain,
% 9.82/7.46 (~m_main_v_state1(s397, c_n1)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31759, 835, 31553, 31638])).
% 9.82/7.46 tff(31761,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s397, c_n1) | (~node2(s397)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s397, c_n1) | (~node2(s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31762,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s397, c_n1) | (~node2(s397)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31763,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s397, c_n1) | (~node2(s397))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31762, 31761])).
% 9.82/7.46 tff(31764,plain,
% 9.82/7.46 (~node2(s397)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31763, 787, 31760])).
% 9.82/7.46 tff(31765,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s397, c_t2) | (~node1(s397)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s397, c_t2) | (~node1(s397)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31766,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s397, c_t2) | (~node1(s397)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31767,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s397, c_t2) | (~node1(s397))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 9.82/7.46 tff(31768,plain,
% 9.82/7.46 (~node1(s397)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31767, 195, 31685])).
% 9.82/7.46 tff(31769,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s397, s398)) | node7(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s397, s398)) | node7(s397, s398))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31770,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s397, s398)) | node7(s397, s398))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31771,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s397, s398)) | node7(s397, s398)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31770, 31769])).
% 9.82/7.46 tff(31772,plain,
% 9.82/7.46 (node7(s397, s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31771, 206, 31696])).
% 9.82/7.46 tff(31773,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31774,plain,
% 9.82/7.46 (((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1)) <=> ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31775,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398))))),
% 9.82/7.46 inference(monotonicity,[status(thm)],[31774])).
% 9.82/7.46 tff(31776,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)))),
% 9.82/7.46 inference(transitivity,[status(thm)],[31775, 31773])).
% 9.82/7.46 tff(31777,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398)) | m_main_v_state1(s398, c_c1))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31778,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397) | (~node7(s397, s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 9.82/7.46 tff(31779,plain,
% 9.82/7.46 ((~m_main_v_state1(s397, c_t1)) | (~m_main_v_state2(s397, c_n2)) | m_main_v_state1(s398, c_c1) | node1(s397) | node2(s397) | node3(s397)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31778, 892, 31772])).
% 9.82/7.46 tff(31780,plain,
% 9.82/7.46 (m_main_v_state1(s398, c_c1)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31779, 31768, 31681, 31645, 31764, 31753])).
% 9.82/7.46 tff(31781,plain,
% 9.82/7.46 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31782,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31783,plain,
% 9.82/7.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_n1)) | (~m_main_v_state1(s398, c_c1))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31782, 31781])).
% 9.82/7.46 tff(31784,plain,
% 9.82/7.46 (~m_main_v_state1(s398, c_n1)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31783, 454, 31780])).
% 9.82/7.46 tff(31785,plain,
% 9.82/7.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s398, c_n1) | (~node11(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s398, c_n1) | (~node11(s398)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31786,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s398, c_n1) | (~node11(s398)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31787,plain,
% 9.82/7.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s398, c_n1) | (~node11(s398))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 9.82/7.46 tff(31788,plain,
% 9.82/7.46 (~node11(s398)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31787, 238, 31784])).
% 9.82/7.46 tff(31789,plain,
% 9.82/7.46 (succ(s398, s399) <=> succ(s398, s399)),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31790,axiom,(succ(s398, s399)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound399')).
% 9.82/7.46 tff(31791,plain,
% 9.82/7.46 (succ(s398, s399)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 9.82/7.46 tff(31792,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31793,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31794,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 9.82/7.46 tff(31795,plain,
% 9.82/7.46 (trans(s398, s399)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31794, 31791, 32])).
% 9.82/7.46 tff(31796,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s398, s399)) | node14(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s398, s399)) | node14(s398, s399))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31797,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s398, s399)) | node14(s398, s399))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31798,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s398, s399)) | node14(s398, s399)),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31797, 31796])).
% 9.82/7.46 tff(31799,plain,
% 9.82/7.46 (node14(s398, s399)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31798, 46, 31795])).
% 9.82/7.46 tff(31800,plain,
% 9.82/7.46 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31801,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31802,plain,
% 9.82/7.46 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399) | (~node14(s398, s399))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 9.82/7.46 tff(31803,plain,
% 9.82/7.46 (m_main_v_state2(s398, c_c2) | node9(s398) | node8(s398) | node10(s398) | node11(s398) | node12(s398) | node13(s398, s399)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31802, 296, 31799])).
% 9.82/7.46 tff(31804,plain,
% 9.82/7.46 (node13(s398, s399)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31803, 31788, 31745, 31741, 31737, 31733, 31716])).
% 9.82/7.46 tff(31805,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31806,plain,
% 9.82/7.46 (((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2))) <=> (m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 9.82/7.46 inference(rewrite,[status(thm)],[])).
% 9.82/7.46 tff(31807,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399))))),
% 9.82/7.46 inference(monotonicity,[status(thm)],[31806])).
% 9.82/7.46 tff(31808,plain,
% 9.82/7.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399)))),
% 9.82/7.46 inference(transitivity,[status(thm)],[31807, 31805])).
% 9.82/7.46 tff(31809,plain,
% 9.82/7.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s398, s399)) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)))),
% 9.82/7.46 inference(quant_inst,[status(thm)],[])).
% 9.82/7.46 tff(31810,plain,
% 9.82/7.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s398, c_n2) | (~m_main_v_state2(s399, c_n2)) | (~node13(s398, s399))),
% 9.82/7.46 inference(modus_ponens,[status(thm)],[31809, 31808])).
% 9.82/7.46 tff(31811,plain,
% 9.82/7.46 (~m_main_v_state2(s399, c_n2)),
% 9.82/7.46 inference(unit_resolution,[status(thm)],[31810, 311, 31729, 31804])).
% 9.82/7.46 tff(31812,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s399, c_n2) | (~node9(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s399, c_n2) | (~node9(s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31813,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s399, c_n2) | (~node9(s399)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31814,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s399, c_n2) | (~node9(s399))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 9.82/7.47 tff(31815,plain,
% 9.82/7.47 (~node9(s399)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31814, 88, 31811])).
% 9.82/7.47 tff(31816,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s399, c_n2) | (~node10(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s399, c_n2) | (~node10(s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31817,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s399, c_n2) | (~node10(s399)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31818,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s399, c_n2) | (~node10(s399))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31817, 31816])).
% 9.82/7.47 tff(31819,plain,
% 9.82/7.47 (~node10(s399)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31818, 249, 31811])).
% 9.82/7.47 tff(31820,plain,
% 9.82/7.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31821,plain,
% 9.82/7.47 (((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2)) <=> ((~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31822,plain,
% 9.82/7.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399))))),
% 9.82/7.47 inference(monotonicity,[status(thm)],[31821])).
% 9.82/7.47 tff(31823,plain,
% 9.82/7.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399)))),
% 9.82/7.47 inference(transitivity,[status(thm)],[31822, 31820])).
% 9.82/7.47 tff(31824,plain,
% 9.82/7.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s398, s399)) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31825,plain,
% 9.82/7.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s398, c_t2)) | m_main_v_state2(s399, c_t2) | (~node13(s398, s399))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 9.82/7.47 tff(31826,plain,
% 9.82/7.47 (m_main_v_state2(s399, c_t2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31825, 518, 31725, 31804])).
% 9.82/7.47 tff(31827,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31828,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31829,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s398, c_t1)) | (~m_main_v_state1(s398, c_c1))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31828, 31827])).
% 9.82/7.47 tff(31830,plain,
% 9.82/7.47 (~m_main_v_state1(s398, c_t1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31829, 539, 31780])).
% 9.82/7.47 tff(31831,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s398, c_t1) | (~node5(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s398, c_t1) | (~node5(s398)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31832,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s398, c_t1) | (~node5(s398)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31833,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s398, c_t1) | (~node5(s398))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31832, 31831])).
% 9.82/7.47 tff(31834,plain,
% 9.82/7.47 (~node5(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31833, 550, 31830])).
% 9.82/7.47 tff(31835,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s398, c_n2) | (~node4(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s398, c_n2) | (~node4(s398)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31836,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s398, c_n2) | (~node4(s398)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31837,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s398, c_n2) | (~node4(s398))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31836, 31835])).
% 9.82/7.47 tff(31838,plain,
% 9.82/7.47 (~node4(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31837, 388, 31729])).
% 9.82/7.47 tff(31839,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s398, c_c2) | (~node3(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s398, c_c2) | (~node3(s398)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31840,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s398, c_c2) | (~node3(s398)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31841,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s398, c_c2) | (~node3(s398))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31840, 31839])).
% 9.82/7.47 tff(31842,plain,
% 9.82/7.47 (~node3(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31841, 399, 31745])).
% 9.82/7.47 tff(31843,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s398, c_n2) | (~node2(s398)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s398, c_n2) | (~node2(s398)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31844,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s398, c_n2) | (~node2(s398)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31845,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s398, c_n2) | (~node2(s398))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31844, 31843])).
% 9.82/7.47 tff(31846,plain,
% 9.82/7.47 (~node2(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31845, 410, 31729])).
% 9.82/7.47 tff(31847,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s398, c_n1) | (~node1(s398)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s398, c_n1) | (~node1(s398)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31848,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s398, c_n1) | (~node1(s398)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31849,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s398, c_n1) | (~node1(s398))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 9.82/7.47 tff(31850,plain,
% 9.82/7.47 (~node1(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31849, 421, 31784])).
% 9.82/7.47 tff(31851,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s398, s399)) | node7(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s398, s399)) | node7(s398, s399))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31852,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s398, s399)) | node7(s398, s399))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31853,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s398, s399)) | node7(s398, s399)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 9.82/7.47 tff(31854,plain,
% 9.82/7.47 (node7(s398, s399)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31853, 206, 31795])).
% 9.82/7.47 tff(31855,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31856,plain,
% 9.82/7.47 (((~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1)) <=> (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31857,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399))))),
% 9.82/7.47 inference(monotonicity,[status(thm)],[31856])).
% 9.82/7.47 tff(31858,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)))),
% 9.82/7.47 inference(transitivity,[status(thm)],[31857, 31855])).
% 9.82/7.47 tff(31859,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399)) | m_main_v_state1(s399, c_n1))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31860,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398) | (~node7(s398, s399))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 9.82/7.47 tff(31861,plain,
% 9.82/7.47 (m_main_v_state1(s399, c_n1) | (~m_main_v_state1(s398, c_c1)) | node1(s398) | node2(s398) | node3(s398) | node4(s398) | node5(s398)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31860, 584, 31854])).
% 9.82/7.47 tff(31862,plain,
% 9.82/7.47 (m_main_v_state1(s399, c_n1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31861, 31850, 31780, 31846, 31842, 31838, 31834])).
% 9.82/7.47 tff(31863,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s399, c_n2) | (~node8(s399)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s399, c_n2) | (~node8(s399)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31864,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s399, c_n2) | (~node8(s399)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31865,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s399, c_n2) | (~node8(s399))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 9.82/7.47 tff(31866,plain,
% 9.82/7.47 (~node8(s399)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31865, 271, 31811])).
% 9.82/7.47 tff(31867,plain,
% 9.82/7.47 (succ(s399, s400) <=> succ(s399, s400)),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31868,axiom,(succ(s399, s400)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound400')).
% 9.82/7.47 tff(31869,plain,
% 9.82/7.47 (succ(s399, s400)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31868, 31867])).
% 9.82/7.47 tff(31870,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31871,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31872,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31871, 31870])).
% 9.82/7.47 tff(31873,plain,
% 9.82/7.47 (trans(s399, s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31872, 31869, 32])).
% 9.82/7.47 tff(31874,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s399, s400)) | node14(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s399, s400)) | node14(s399, s400))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31875,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s399, s400)) | node14(s399, s400))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31876,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s399, s400)) | node14(s399, s400)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 9.82/7.47 tff(31877,plain,
% 9.82/7.47 (node14(s399, s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31876, 46, 31873])).
% 9.82/7.47 tff(31878,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31879,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31880,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | (~node14(s399, s400)) | m_main_v_state2(s400, c_c2)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31879, 31878])).
% 9.82/7.47 tff(31881,plain,
% 9.82/7.47 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | node9(s399) | node8(s399) | node10(s399) | m_main_v_state2(s400, c_c2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31880, 617, 31877])).
% 9.82/7.47 tff(31882,plain,
% 9.82/7.47 (m_main_v_state2(s400, c_c2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31881, 31866, 31862, 31826, 31819, 31815])).
% 9.82/7.47 tff(31883,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31884,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31885,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_t2)) | (~m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 9.82/7.47 tff(31886,plain,
% 9.82/7.47 (~m_main_v_state2(s400, c_t2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31885, 260, 31882])).
% 9.82/7.47 tff(31887,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s400, c_t2) | (~node12(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s400, c_t2) | (~node12(s400)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31888,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s400, c_t2) | (~node12(s400)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31889,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s400, c_t2) | (~node12(s400))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31888, 31887])).
% 9.82/7.47 tff(31890,plain,
% 9.82/7.47 (~node12(s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31889, 633, 31886])).
% 9.82/7.47 tff(31891,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s399, s400)) | node7(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s399, s400)) | node7(s399, s400))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31892,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s399, s400)) | node7(s399, s400))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31893,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s399, s400)) | node7(s399, s400)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31892, 31891])).
% 9.82/7.47 tff(31894,plain,
% 9.82/7.47 (node7(s399, s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31893, 206, 31873])).
% 9.82/7.47 tff(31895,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31896,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31897,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node7(s399, s400)) | m_main_v_state1(s400, c_t1)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31896, 31895])).
% 9.82/7.47 tff(31898,plain,
% 9.82/7.47 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | m_main_v_state1(s400, c_t1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31897, 651, 31894])).
% 9.82/7.47 tff(31899,plain,
% 9.82/7.47 (m_main_v_state1(s400, c_t1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31898, 31826, 31862])).
% 9.82/7.47 tff(31900,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31901,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31902,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s400, c_n1)) | (~m_main_v_state1(s400, c_t1))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 9.82/7.47 tff(31903,plain,
% 9.82/7.47 (~m_main_v_state1(s400, c_n1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31902, 10, 31899])).
% 9.82/7.47 tff(31904,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s400, c_n1) | (~node11(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s400, c_n1) | (~node11(s400)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31905,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s400, c_n1) | (~node11(s400)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31906,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s400, c_n1) | (~node11(s400))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31905, 31904])).
% 9.82/7.47 tff(31907,plain,
% 9.82/7.47 (~node11(s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31906, 238, 31903])).
% 9.82/7.47 tff(31908,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31909,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31910,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s400, c_t1)) | (~m_main_v_state1(s400, c_c1))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 9.82/7.47 tff(31911,plain,
% 9.82/7.47 (~m_main_v_state1(s400, c_c1)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31910, 539, 31899])).
% 9.82/7.47 tff(31912,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s400, c_c1) | (~node10(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s400, c_c1) | (~node10(s400)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31913,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s400, c_c1) | (~node10(s400)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31914,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s400, c_c1) | (~node10(s400))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 9.82/7.47 tff(31915,plain,
% 9.82/7.47 (~node10(s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31914, 675, 31911])).
% 9.82/7.47 tff(31916,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s400, c_n1) | (~node9(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s400, c_n1) | (~node9(s400)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31917,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s400, c_n1) | (~node9(s400)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31918,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s400, c_n1) | (~node9(s400))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31917, 31916])).
% 9.82/7.47 tff(31919,plain,
% 9.82/7.47 (~node9(s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31918, 686, 31903])).
% 9.82/7.47 tff(31920,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31921,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31922,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s400, c_n2)) | (~m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31921, 31920])).
% 9.82/7.47 tff(31923,plain,
% 9.82/7.47 (~m_main_v_state2(s400, c_n2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31922, 697, 31882])).
% 9.82/7.47 tff(31924,plain,
% 9.82/7.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s400, c_n2) | (~node8(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s400, c_n2) | (~node8(s400)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31925,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s400, c_n2) | (~node8(s400)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31926,plain,
% 9.82/7.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s400, c_n2) | (~node8(s400))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 9.82/7.47 tff(31927,plain,
% 9.82/7.47 (~node8(s400)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31926, 271, 31923])).
% 9.82/7.47 tff(31928,plain,
% 9.82/7.47 (succ(s400, s401) <=> succ(s400, s401)),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31929,axiom,(succ(s400, s401)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound401')).
% 9.82/7.47 tff(31930,plain,
% 9.82/7.47 (succ(s400, s401)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31929, 31928])).
% 9.82/7.47 tff(31931,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31932,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31933,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31932, 31931])).
% 9.82/7.47 tff(31934,plain,
% 9.82/7.47 (trans(s400, s401)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31933, 31930, 32])).
% 9.82/7.47 tff(31935,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s400, s401)) | node14(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s400, s401)) | node14(s400, s401))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31936,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s400, s401)) | node14(s400, s401))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31937,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s400, s401)) | node14(s400, s401)),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31936, 31935])).
% 9.82/7.47 tff(31938,plain,
% 9.82/7.47 (node14(s400, s401)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31937, 46, 31934])).
% 9.82/7.47 tff(31939,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31940,plain,
% 9.82/7.47 (((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2)) <=> (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31941,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2))))),
% 9.82/7.47 inference(monotonicity,[status(thm)],[31940])).
% 9.82/7.47 tff(31942,plain,
% 9.82/7.47 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2)))),
% 9.82/7.47 inference(transitivity,[status(thm)],[31941, 31939])).
% 9.82/7.47 tff(31943,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s400, c_c2)) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | m_main_v_state2(s401, c_n2))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31944,plain,
% 9.82/7.47 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~node14(s400, s401)) | (~m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 9.82/7.47 tff(31945,plain,
% 9.82/7.47 (m_main_v_state2(s401, c_n2) | node9(s400) | node8(s400) | node10(s400) | node11(s400) | node12(s400) | (~m_main_v_state2(s400, c_c2))),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31944, 726, 31938])).
% 9.82/7.47 tff(31946,plain,
% 9.82/7.47 (m_main_v_state2(s401, c_n2)),
% 9.82/7.47 inference(unit_resolution,[status(thm)],[31945, 31927, 31882, 31919, 31915, 31907, 31890])).
% 9.82/7.47 tff(31947,plain,
% 9.82/7.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))),
% 9.82/7.47 inference(rewrite,[status(thm)],[])).
% 9.82/7.47 tff(31948,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2)))),
% 9.82/7.47 inference(quant_inst,[status(thm)],[])).
% 9.82/7.47 tff(31949,plain,
% 9.82/7.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_c2))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31948, 31947])).
% 9.82/7.48 tff(31950,plain,
% 9.82/7.48 (~m_main_v_state2(s401, c_c2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31949, 697, 31946])).
% 9.82/7.48 tff(31951,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s401, c_c2) | (~node3(s401)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s401, c_c2) | (~node3(s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31952,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s401, c_c2) | (~node3(s401)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31953,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s401, c_c2) | (~node3(s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31952, 31951])).
% 9.82/7.48 tff(31954,plain,
% 9.82/7.48 (~node3(s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31953, 399, 31950])).
% 9.82/7.48 tff(31955,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s400, c_n1) | (~node1(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s400, c_n1) | (~node1(s400)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31956,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s400, c_n1) | (~node1(s400)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31957,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s400, c_n1) | (~node1(s400))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 9.82/7.48 tff(31958,plain,
% 9.82/7.48 (~node1(s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31957, 421, 31903])).
% 9.82/7.48 tff(31959,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s399, s400)) | node18(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s399, s400)) | node18(s399, s400))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31960,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s399, s400)) | node18(s399, s400))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31961,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s399, s400)) | node18(s399, s400)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31960, 31959])).
% 9.82/7.48 tff(31962,plain,
% 9.82/7.48 (node18(s399, s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31961, 125, 31873])).
% 9.82/7.48 tff(31963,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31964,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31965,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | (~node18(s399, s400)) | m_main_v_turn(s400, c_2)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31964, 31963])).
% 9.82/7.48 tff(31966,plain,
% 9.82/7.48 ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state2(s399, c_t2)) | m_main_v_turn(s400, c_2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31965, 760, 31962])).
% 9.82/7.48 tff(31967,plain,
% 9.82/7.48 (m_main_v_turn(s400, c_2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31966, 31826, 31862])).
% 9.82/7.48 tff(31968,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31969,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31970,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s400, c_1)) | (~m_main_v_turn(s400, c_2))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 9.82/7.48 tff(31971,plain,
% 9.82/7.48 (~m_main_v_turn(s400, c_1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31970, 156, 31967])).
% 9.82/7.48 tff(31972,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s400, c_1) | (~node5(s400)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s400, c_1) | (~node5(s400)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31973,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s400, c_1) | (~node5(s400)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31974,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s400, c_1) | (~node5(s400))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 9.82/7.48 tff(31975,plain,
% 9.82/7.48 (~node5(s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31974, 776, 31971])).
% 9.82/7.48 tff(31976,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s400, c_n1) | (~node2(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s400, c_n1) | (~node2(s400)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31977,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s400, c_n1) | (~node2(s400)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31978,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s400, c_n1) | (~node2(s400))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 9.82/7.48 tff(31979,plain,
% 9.82/7.48 (~node2(s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31978, 787, 31903])).
% 9.82/7.48 tff(31980,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s400, c_n1) | (~node3(s400)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s400, c_n1) | (~node3(s400)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31981,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s400, c_n1) | (~node3(s400)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31982,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s400, c_n1) | (~node3(s400))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 9.82/7.48 tff(31983,plain,
% 9.82/7.48 (~node3(s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31982, 798, 31903])).
% 9.82/7.48 tff(31984,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s400, c_n2) | (~node4(s400)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s400, c_n2) | (~node4(s400)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31985,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s400, c_n2) | (~node4(s400)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31986,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s400, c_n2) | (~node4(s400))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 9.82/7.48 tff(31987,plain,
% 9.82/7.48 (~node4(s400)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31986, 388, 31923])).
% 9.82/7.48 tff(31988,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s400, s401)) | node7(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s400, s401)) | node7(s400, s401))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31989,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s400, s401)) | node7(s400, s401))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31990,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s400, s401)) | node7(s400, s401)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 9.82/7.48 tff(31991,plain,
% 9.82/7.48 (node7(s400, s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31990, 206, 31934])).
% 9.82/7.48 tff(31992,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31993,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(31994,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401) | (~node7(s400, s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 9.82/7.48 tff(31995,plain,
% 9.82/7.48 (m_main_v_state1(s400, c_c1) | node1(s400) | node2(s400) | node3(s400) | node4(s400) | node5(s400) | node6(s400, s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31994, 820, 31991])).
% 9.82/7.48 tff(31996,plain,
% 9.82/7.48 (node6(s400, s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[31995, 31987, 31911, 31983, 31979, 31975, 31958])).
% 9.82/7.48 tff(31997,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31998,plain,
% 9.82/7.48 (((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1))) <=> (m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(31999,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401))))),
% 9.82/7.48 inference(monotonicity,[status(thm)],[31998])).
% 9.82/7.48 tff(32000,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401)))),
% 9.82/7.48 inference(transitivity,[status(thm)],[31999, 31997])).
% 9.82/7.48 tff(32001,plain,
% 9.82/7.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s400, s401)) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32002,plain,
% 9.82/7.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s400, c_n1) | (~m_main_v_state1(s401, c_n1)) | (~node6(s400, s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 9.82/7.48 tff(32003,plain,
% 9.82/7.48 (~m_main_v_state1(s401, c_n1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32002, 835, 31903, 31996])).
% 9.82/7.48 tff(32004,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s401, c_n1) | (~node2(s401)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s401, c_n1) | (~node2(s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32005,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s401, c_n1) | (~node2(s401)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32006,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s401, c_n1) | (~node2(s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32005, 32004])).
% 9.82/7.48 tff(32007,plain,
% 9.82/7.48 (~node2(s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32006, 787, 32003])).
% 9.82/7.48 tff(32008,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32009,plain,
% 9.82/7.48 (((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1)) <=> ((~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32010,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401))))),
% 9.82/7.48 inference(monotonicity,[status(thm)],[32009])).
% 9.82/7.48 tff(32011,plain,
% 9.82/7.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401)))),
% 9.82/7.48 inference(transitivity,[status(thm)],[32010, 32008])).
% 9.82/7.48 tff(32012,plain,
% 9.82/7.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s400, s401)) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32013,plain,
% 9.82/7.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s400, c_t1)) | m_main_v_state1(s401, c_t1) | (~node6(s400, s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32012, 32011])).
% 9.82/7.48 tff(32014,plain,
% 9.82/7.48 (m_main_v_state1(s401, c_t1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32013, 856, 31899, 31996])).
% 9.82/7.48 tff(32015,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32016,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32017,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s401, c_n2)) | (~m_main_v_state2(s401, c_t2))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32016, 32015])).
% 9.82/7.48 tff(32018,plain,
% 9.82/7.48 (~m_main_v_state2(s401, c_t2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32017, 77, 31946])).
% 9.82/7.48 tff(32019,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s401, c_t2) | (~node1(s401)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s401, c_t2) | (~node1(s401)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32020,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s401, c_t2) | (~node1(s401)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32021,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s401, c_t2) | (~node1(s401))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 9.82/7.48 tff(32022,plain,
% 9.82/7.48 (~node1(s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32021, 195, 32018])).
% 9.82/7.48 tff(32023,plain,
% 9.82/7.48 (succ(s401, s402) <=> succ(s401, s402)),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32024,axiom,(succ(s401, s402)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound402')).
% 9.82/7.48 tff(32025,plain,
% 9.82/7.48 (succ(s401, s402)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 9.82/7.48 tff(32026,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32027,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32028,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32027, 32026])).
% 9.82/7.48 tff(32029,plain,
% 9.82/7.48 (trans(s401, s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32028, 32025, 32])).
% 9.82/7.48 tff(32030,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s401, s402)) | node7(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s401, s402)) | node7(s401, s402))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32031,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s401, s402)) | node7(s401, s402))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32032,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s401, s402)) | node7(s401, s402)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32031, 32030])).
% 9.82/7.48 tff(32033,plain,
% 9.82/7.48 (node7(s401, s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32032, 206, 32029])).
% 9.82/7.48 tff(32034,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32035,plain,
% 9.82/7.48 (((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1)) <=> ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32036,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402))))),
% 9.82/7.48 inference(monotonicity,[status(thm)],[32035])).
% 9.82/7.48 tff(32037,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)))),
% 9.82/7.48 inference(transitivity,[status(thm)],[32036, 32034])).
% 9.82/7.48 tff(32038,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402)) | m_main_v_state1(s402, c_c1))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32039,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401) | (~node7(s401, s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 9.82/7.48 tff(32040,plain,
% 9.82/7.48 ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state1(s402, c_c1) | node1(s401) | node2(s401) | node3(s401)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32039, 892, 32033])).
% 9.82/7.48 tff(32041,plain,
% 9.82/7.48 (m_main_v_state1(s402, c_c1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32040, 32022, 31946, 32014, 32007, 31954])).
% 9.82/7.48 tff(32042,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32043,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32044,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_t1)) | (~m_main_v_state1(s402, c_c1))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32043, 32042])).
% 9.82/7.48 tff(32045,plain,
% 9.82/7.48 (~m_main_v_state1(s402, c_t1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32044, 539, 32041])).
% 9.82/7.48 tff(32046,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s402, c_t1) | (~node5(s402)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s402, c_t1) | (~node5(s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32047,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s402, c_t1) | (~node5(s402)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32048,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s402, c_t1) | (~node5(s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32047, 32046])).
% 9.82/7.48 tff(32049,plain,
% 9.82/7.48 (~node5(s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32048, 550, 32045])).
% 9.82/7.48 tff(32050,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s401, s402)) | node14(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s401, s402)) | node14(s401, s402))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32051,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s401, s402)) | node14(s401, s402))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32052,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s401, s402)) | node14(s401, s402)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32051, 32050])).
% 9.82/7.48 tff(32053,plain,
% 9.82/7.48 (node14(s401, s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32052, 46, 32029])).
% 9.82/7.48 tff(32054,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32055,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32056,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | (~node14(s401, s402)) | m_main_v_state2(s402, c_t2)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32055, 32054])).
% 9.82/7.48 tff(32057,plain,
% 9.82/7.48 ((~m_main_v_state1(s401, c_t1)) | (~m_main_v_state2(s401, c_n2)) | m_main_v_state2(s402, c_t2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32056, 922, 32053])).
% 9.82/7.48 tff(32058,plain,
% 9.82/7.48 (m_main_v_state2(s402, c_t2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32057, 32014, 31946])).
% 9.82/7.48 tff(32059,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32060,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32061,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s402, c_n2)) | (~m_main_v_state2(s402, c_t2))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 9.82/7.48 tff(32062,plain,
% 9.82/7.48 (~m_main_v_state2(s402, c_n2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32061, 77, 32058])).
% 9.82/7.48 tff(32063,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s402, c_n2) | (~node4(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s402, c_n2) | (~node4(s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32064,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s402, c_n2) | (~node4(s402)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32065,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s402, c_n2) | (~node4(s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32064, 32063])).
% 9.82/7.48 tff(32066,plain,
% 9.82/7.48 (~node4(s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32065, 388, 32062])).
% 9.82/7.48 tff(32067,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32068,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32069,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s402, c_t2)) | (~m_main_v_state2(s402, c_c2))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 9.82/7.48 tff(32070,plain,
% 9.82/7.48 (~m_main_v_state2(s402, c_c2)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32069, 260, 32058])).
% 9.82/7.48 tff(32071,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s402, c_c2) | (~node3(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s402, c_c2) | (~node3(s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32072,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s402, c_c2) | (~node3(s402)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32073,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s402, c_c2) | (~node3(s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32072, 32071])).
% 9.82/7.48 tff(32074,plain,
% 9.82/7.48 (~node3(s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32073, 399, 32070])).
% 9.82/7.48 tff(32075,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s402, c_n2) | (~node2(s402)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s402, c_n2) | (~node2(s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32076,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s402, c_n2) | (~node2(s402)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32077,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s402, c_n2) | (~node2(s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 9.82/7.48 tff(32078,plain,
% 9.82/7.48 (~node2(s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32077, 410, 32062])).
% 9.82/7.48 tff(32079,plain,
% 9.82/7.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32080,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32081,plain,
% 9.82/7.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s402, c_n1)) | (~m_main_v_state1(s402, c_c1))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32080, 32079])).
% 9.82/7.48 tff(32082,plain,
% 9.82/7.48 (~m_main_v_state1(s402, c_n1)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32081, 454, 32041])).
% 9.82/7.48 tff(32083,plain,
% 9.82/7.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s402, c_n1) | (~node1(s402)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s402, c_n1) | (~node1(s402)))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32084,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s402, c_n1) | (~node1(s402)))),
% 9.82/7.48 inference(quant_inst,[status(thm)],[])).
% 9.82/7.48 tff(32085,plain,
% 9.82/7.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s402, c_n1) | (~node1(s402))),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32084, 32083])).
% 9.82/7.48 tff(32086,plain,
% 9.82/7.48 (~node1(s402)),
% 9.82/7.48 inference(unit_resolution,[status(thm)],[32085, 421, 32082])).
% 9.82/7.48 tff(32087,plain,
% 9.82/7.48 (succ(s402, s403) <=> succ(s402, s403)),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32088,axiom,(succ(s402, s403)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound403')).
% 9.82/7.48 tff(32089,plain,
% 9.82/7.48 (succ(s402, s403)),
% 9.82/7.48 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 9.82/7.48 tff(32090,plain,
% 9.82/7.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403))),
% 9.82/7.48 inference(rewrite,[status(thm)],[])).
% 9.82/7.48 tff(32091,plain,
% 9.82/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32092,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32091, 32090])).
% 9.82/7.49 tff(32093,plain,
% 9.82/7.49 (trans(s402, s403)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32092, 32089, 32])).
% 9.82/7.49 tff(32094,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s402, s403)) | node7(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s402, s403)) | node7(s402, s403))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32095,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s402, s403)) | node7(s402, s403))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32096,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s402, s403)) | node7(s402, s403)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32095, 32094])).
% 9.82/7.49 tff(32097,plain,
% 9.82/7.49 (node7(s402, s403)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32096, 206, 32093])).
% 9.82/7.49 tff(32098,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32099,plain,
% 9.82/7.49 (((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1)) <=> (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32100,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403))))),
% 9.82/7.49 inference(monotonicity,[status(thm)],[32099])).
% 9.82/7.49 tff(32101,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)))),
% 9.82/7.49 inference(transitivity,[status(thm)],[32100, 32098])).
% 9.82/7.49 tff(32102,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403)) | m_main_v_state1(s403, c_n1))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32103,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402) | (~node7(s402, s403))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32102, 32101])).
% 9.82/7.49 tff(32104,plain,
% 9.82/7.49 (m_main_v_state1(s403, c_n1) | (~m_main_v_state1(s402, c_c1)) | node1(s402) | node2(s402) | node3(s402) | node4(s402) | node5(s402)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32103, 584, 32097])).
% 9.82/7.49 tff(32105,plain,
% 9.82/7.49 (m_main_v_state1(s403, c_n1)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32104, 32086, 32041, 32078, 32074, 32066, 32049])).
% 9.82/7.49 tff(32106,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state1(s403, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s403, c_n1)) | (~m_main_v_state1(s403, c_t1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32107,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s403, c_n1)) | (~m_main_v_state1(s403, c_t1)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32108,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s403, c_n1)) | (~m_main_v_state1(s403, c_t1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32107, 32106])).
% 9.82/7.49 tff(32109,plain,
% 9.82/7.49 (~m_main_v_state1(s403, c_t1)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32108, 10, 32105])).
% 9.82/7.49 tff(32110,plain,
% 9.82/7.49 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node20(X))) <=> (m_main_v_state1(X, c_t1) | (~node20(X))))),
% 9.82/7.49 inference(bind,[status(th)],[])).
% 9.82/7.49 tff(32111,plain,
% 9.82/7.49 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 9.82/7.49 inference(quant_intro,[status(thm)],[32110])).
% 9.82/7.49 tff(32112,plain,
% 9.82/7.49 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32113,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 9.82/7.49 tff(32114,plain,
% 9.82/7.49 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 9.82/7.49 tff(32115,plain,(
% 9.82/7.49 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 9.82/7.49 inference(skolemize,[status(sab)],[32114])).
% 9.82/7.49 tff(32116,plain,
% 9.82/7.49 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32115, 32111])).
% 9.82/7.49 tff(32117,plain,
% 9.82/7.49 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s403, c_t1) | (~node20(s403)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s403, c_t1) | (~node20(s403)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32118,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s403, c_t1) | (~node20(s403)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32119,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s403, c_t1) | (~node20(s403))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32118, 32117])).
% 9.82/7.49 tff(32120,plain,
% 9.82/7.49 (~node20(s403)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32119, 32116, 32109])).
% 9.82/7.49 tff(32121,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s402)) | (~m_main_v_state1(s402, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s402)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32122,plain,
% 9.82/7.49 (((~m_main_v_state1(s402, c_c1)) | (~always19(s402))) <=> ((~always19(s402)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32123,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s402, c_c1)) | (~always19(s402)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s402)) | (~m_main_v_state1(s402, c_c1))))),
% 9.82/7.49 inference(monotonicity,[status(thm)],[32122])).
% 9.82/7.49 tff(32124,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s402, c_c1)) | (~always19(s402)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s402)) | (~m_main_v_state1(s402, c_c1)))),
% 9.82/7.49 inference(transitivity,[status(thm)],[32123, 32121])).
% 9.82/7.49 tff(32125,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s402, c_c1)) | (~always19(s402)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32126,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s402)) | (~m_main_v_state1(s402, c_c1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 9.82/7.49 tff(32127,plain,
% 9.82/7.49 (~always19(s402)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32126, 28559, 32041])).
% 9.82/7.49 tff(32128,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s401, s402)) | (~always19(s401)) | always19(s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s401, s402)) | (~always19(s401)) | always19(s402))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32129,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s401, s402)) | (~always19(s401)) | always19(s402))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32130,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s401, s402)) | (~always19(s401)) | always19(s402)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 9.82/7.49 tff(32131,plain,
% 9.82/7.49 ((~always19(s401)) | always19(s402)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32130, 28576, 32029])).
% 9.82/7.49 tff(32132,plain,
% 9.82/7.49 (~always19(s401)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32131, 32127])).
% 9.82/7.49 tff(32133,plain,
% 9.82/7.49 (^[X: $i] : refl((always19(X) | (~node20(X))) <=> (always19(X) | (~node20(X))))),
% 9.82/7.49 inference(bind,[status(th)],[])).
% 9.82/7.49 tff(32134,plain,
% 9.82/7.49 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 9.82/7.49 inference(quant_intro,[status(thm)],[32133])).
% 9.82/7.49 tff(32135,plain,
% 9.82/7.49 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32136,axiom,(![X: $i] : (always19(X) | (~node20(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 9.82/7.49 tff(32137,plain,
% 9.82/7.49 (![X: $i] : (always19(X) | (~node20(X)))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32136, 32135])).
% 9.82/7.49 tff(32138,plain,(
% 9.82/7.49 ![X: $i] : (always19(X) | (~node20(X)))),
% 9.82/7.49 inference(skolemize,[status(sab)],[32137])).
% 9.82/7.49 tff(32139,plain,
% 9.82/7.49 (![X: $i] : (always19(X) | (~node20(X)))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32138, 32134])).
% 9.82/7.49 tff(32140,plain,
% 9.82/7.49 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s401) | (~node20(s401)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s401) | (~node20(s401)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32141,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s401) | (~node20(s401)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32142,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s401) | (~node20(s401))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32141, 32140])).
% 9.82/7.49 tff(32143,plain,
% 9.82/7.49 (~node20(s401)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32142, 32139, 32132])).
% 9.82/7.49 tff(32144,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s400, s401)) | (~always19(s400)) | always19(s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s400, s401)) | (~always19(s400)) | always19(s401))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32145,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s400, s401)) | (~always19(s400)) | always19(s401))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32146,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s400, s401)) | (~always19(s400)) | always19(s401)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 9.82/7.49 tff(32147,plain,
% 9.82/7.49 ((~always19(s400)) | always19(s401)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32146, 28576, 31934])).
% 9.82/7.49 tff(32148,plain,
% 9.82/7.49 (~always19(s400)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32147, 32132])).
% 9.82/7.49 tff(32149,plain,
% 9.82/7.49 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s400) | (~node20(s400)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s400) | (~node20(s400)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32150,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s400) | (~node20(s400)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32151,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s400) | (~node20(s400))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32150, 32149])).
% 9.82/7.49 tff(32152,plain,
% 9.82/7.49 (~node20(s400)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32151, 32139, 32148])).
% 9.82/7.49 tff(32153,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state1(s399, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state1(s399, c_t1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32154,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s399, c_n1)) | (~m_main_v_state1(s399, c_t1)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32155,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s399, c_n1)) | (~m_main_v_state1(s399, c_t1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 9.82/7.49 tff(32156,plain,
% 9.82/7.49 (~m_main_v_state1(s399, c_t1)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32155, 10, 31862])).
% 9.82/7.49 tff(32157,plain,
% 9.82/7.49 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s399, c_t1) | (~node20(s399)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s399, c_t1) | (~node20(s399)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32158,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s399, c_t1) | (~node20(s399)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32159,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s399, c_t1) | (~node20(s399))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32158, 32157])).
% 9.82/7.49 tff(32160,plain,
% 9.82/7.49 (~node20(s399)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32159, 32116, 32156])).
% 9.82/7.49 tff(32161,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s398)) | (~m_main_v_state1(s398, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s398)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32162,plain,
% 9.82/7.49 (((~m_main_v_state1(s398, c_c1)) | (~always19(s398))) <=> ((~always19(s398)) | (~m_main_v_state1(s398, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32163,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s398, c_c1)) | (~always19(s398)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s398)) | (~m_main_v_state1(s398, c_c1))))),
% 9.82/7.49 inference(monotonicity,[status(thm)],[32162])).
% 9.82/7.49 tff(32164,plain,
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% 9.82/7.49 inference(transitivity,[status(thm)],[32163, 32161])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32166,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32165, 32164])).
% 9.82/7.49 tff(32167,plain,
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32166, 28559, 31780])).
% 9.82/7.49 tff(32168,plain,
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32169,plain,
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32170,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32169, 32168])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32170, 28576, 31696])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32171, 32167])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32175,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32174, 32173])).
% 9.82/7.49 tff(32176,plain,
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32175, 32139, 32172])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32178,plain,
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32179,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32178, 32177])).
% 9.82/7.49 tff(32180,plain,
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32179, 28576, 31629])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32180, 32172])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32184,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 9.82/7.49 tff(32185,plain,
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32184, 32139, 32181])).
% 9.82/7.49 tff(32186,plain,
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32187,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s395, c_n1)) | (~m_main_v_state1(s395, c_t1)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32188,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s395, c_n1)) | (~m_main_v_state1(s395, c_t1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32187, 32186])).
% 9.82/7.49 tff(32189,plain,
% 9.82/7.49 (~m_main_v_state1(s395, c_t1)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32188, 10, 31477])).
% 9.82/7.49 tff(32190,plain,
% 9.82/7.49 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s395, c_t1) | (~node20(s395)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s395, c_t1) | (~node20(s395)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32191,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s395, c_t1) | (~node20(s395)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32192,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s395, c_t1) | (~node20(s395))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32191, 32190])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32192, 32116, 32189])).
% 9.82/7.49 tff(32194,plain,
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32195,plain,
% 9.82/7.49 (((~m_main_v_state1(s394, c_c1)) | (~always19(s394))) <=> ((~always19(s394)) | (~m_main_v_state1(s394, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32196,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s394, c_c1)) | (~always19(s394)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s394)) | (~m_main_v_state1(s394, c_c1))))),
% 9.82/7.49 inference(monotonicity,[status(thm)],[32195])).
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% 9.82/7.49 inference(transitivity,[status(thm)],[32196, 32194])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32199,plain,
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32198, 32197])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32199, 28559, 31413])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32202, 32201])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32203, 28576, 31401])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32204, 32200])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32208, 32139, 32205])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32211, 32210])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32212, 28576, 31306])).
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% 9.82/7.49 inference(unit_resolution,[status(thm)],[32213, 32205])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.49 inference(modus_ponens,[status(thm)],[32220, 32219])).
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% 9.82/7.49 inference(rewrite,[status(thm)],[])).
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% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32225,plain,
% 9.82/7.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s391, c_t1) | (~node20(s391))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32224, 32223])).
% 9.82/7.49 tff(32226,plain,
% 9.82/7.49 (~node20(s391)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32225, 32116, 32222])).
% 9.82/7.49 tff(32227,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s390)) | (~m_main_v_state1(s390, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s390)) | (~m_main_v_state1(s390, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32228,plain,
% 9.82/7.49 (((~m_main_v_state1(s390, c_c1)) | (~always19(s390))) <=> ((~always19(s390)) | (~m_main_v_state1(s390, c_c1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32229,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s390, c_c1)) | (~always19(s390)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s390)) | (~m_main_v_state1(s390, c_c1))))),
% 9.82/7.49 inference(monotonicity,[status(thm)],[32228])).
% 9.82/7.49 tff(32230,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s390, c_c1)) | (~always19(s390)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s390)) | (~m_main_v_state1(s390, c_c1)))),
% 9.82/7.49 inference(transitivity,[status(thm)],[32229, 32227])).
% 9.82/7.49 tff(32231,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s390, c_c1)) | (~always19(s390)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32232,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s390)) | (~m_main_v_state1(s390, c_c1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32231, 32230])).
% 9.82/7.49 tff(32233,plain,
% 9.82/7.49 (~always19(s390)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32232, 28559, 31152])).
% 9.82/7.49 tff(32234,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s389, s390)) | (~always19(s389)) | always19(s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s389, s390)) | (~always19(s389)) | always19(s390))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32235,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s389, s390)) | (~always19(s389)) | always19(s390))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32236,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s389, s390)) | (~always19(s389)) | always19(s390)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 9.82/7.49 tff(32237,plain,
% 9.82/7.49 ((~always19(s389)) | always19(s390)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32236, 28576, 31068])).
% 9.82/7.49 tff(32238,plain,
% 9.82/7.49 (~always19(s389)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32237, 32233])).
% 9.82/7.49 tff(32239,plain,
% 9.82/7.49 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s389) | (~node20(s389)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s389) | (~node20(s389)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32240,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s389) | (~node20(s389)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32241,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s389) | (~node20(s389))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 9.82/7.49 tff(32242,plain,
% 9.82/7.49 (~node20(s389)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32241, 32139, 32238])).
% 9.82/7.49 tff(32243,plain,
% 9.82/7.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s388, s389)) | (~always19(s388)) | always19(s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s388, s389)) | (~always19(s388)) | always19(s389))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32244,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s388, s389)) | (~always19(s388)) | always19(s389))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32245,plain,
% 9.82/7.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s388, s389)) | (~always19(s388)) | always19(s389)),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32244, 32243])).
% 9.82/7.49 tff(32246,plain,
% 9.82/7.49 ((~always19(s388)) | always19(s389)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32245, 28576, 31001])).
% 9.82/7.49 tff(32247,plain,
% 9.82/7.49 (~always19(s388)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32246, 32238])).
% 9.82/7.49 tff(32248,plain,
% 9.82/7.49 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s388) | (~node20(s388)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s388) | (~node20(s388)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32249,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s388) | (~node20(s388)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32250,plain,
% 9.82/7.49 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s388) | (~node20(s388))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 9.82/7.49 tff(32251,plain,
% 9.82/7.49 (~node20(s388)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32250, 32139, 32247])).
% 9.82/7.49 tff(32252,plain,
% 9.82/7.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state1(s387, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state1(s387, c_t1)))),
% 9.82/7.49 inference(rewrite,[status(thm)],[])).
% 9.82/7.49 tff(32253,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s387, c_n1)) | (~m_main_v_state1(s387, c_t1)))),
% 9.82/7.49 inference(quant_inst,[status(thm)],[])).
% 9.82/7.49 tff(32254,plain,
% 9.82/7.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s387, c_n1)) | (~m_main_v_state1(s387, c_t1))),
% 9.82/7.49 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 9.82/7.49 tff(32255,plain,
% 9.82/7.49 (~m_main_v_state1(s387, c_t1)),
% 9.82/7.49 inference(unit_resolution,[status(thm)],[32254, 10, 30849])).
% 9.82/7.49 tff(32256,plain,
% 9.82/7.49 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s387, c_t1) | (~node20(s387)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s387, c_t1) | (~node20(s387)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32257,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s387, c_t1) | (~node20(s387)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32258,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s387, c_t1) | (~node20(s387))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32257, 32256])).
% 9.82/7.50 tff(32259,plain,
% 9.82/7.50 (~node20(s387)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32258, 32116, 32255])).
% 9.82/7.50 tff(32260,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s386)) | (~m_main_v_state1(s386, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s386)) | (~m_main_v_state1(s386, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32261,plain,
% 9.82/7.50 (((~m_main_v_state1(s386, c_c1)) | (~always19(s386))) <=> ((~always19(s386)) | (~m_main_v_state1(s386, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32262,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s386, c_c1)) | (~always19(s386)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s386)) | (~m_main_v_state1(s386, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32261])).
% 9.82/7.50 tff(32263,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s386, c_c1)) | (~always19(s386)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s386)) | (~m_main_v_state1(s386, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32262, 32260])).
% 9.82/7.50 tff(32264,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s386, c_c1)) | (~always19(s386)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32265,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s386)) | (~m_main_v_state1(s386, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32264, 32263])).
% 9.82/7.50 tff(32266,plain,
% 9.82/7.50 (~always19(s386)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32265, 28559, 30785])).
% 9.82/7.50 tff(32267,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s385, s386)) | (~always19(s385)) | always19(s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s385, s386)) | (~always19(s385)) | always19(s386))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32268,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s385, s386)) | (~always19(s385)) | always19(s386))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32269,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s385, s386)) | (~always19(s385)) | always19(s386)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32268, 32267])).
% 9.82/7.50 tff(32270,plain,
% 9.82/7.50 ((~always19(s385)) | always19(s386)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32269, 28576, 30773])).
% 9.82/7.50 tff(32271,plain,
% 9.82/7.50 (~always19(s385)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32270, 32266])).
% 9.82/7.50 tff(32272,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s385) | (~node20(s385)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s385) | (~node20(s385)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32273,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s385) | (~node20(s385)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32274,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s385) | (~node20(s385))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32273, 32272])).
% 9.82/7.50 tff(32275,plain,
% 9.82/7.50 (~node20(s385)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32274, 32139, 32271])).
% 9.82/7.50 tff(32276,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s384, s385)) | (~always19(s384)) | always19(s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s384, s385)) | (~always19(s384)) | always19(s385))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32277,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s384, s385)) | (~always19(s384)) | always19(s385))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32278,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s384, s385)) | (~always19(s384)) | always19(s385)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32277, 32276])).
% 9.82/7.50 tff(32279,plain,
% 9.82/7.50 ((~always19(s384)) | always19(s385)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32278, 28576, 30678])).
% 9.82/7.50 tff(32280,plain,
% 9.82/7.50 (~always19(s384)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32279, 32271])).
% 9.82/7.50 tff(32281,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s384) | (~node20(s384)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s384) | (~node20(s384)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32282,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s384) | (~node20(s384)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32283,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s384) | (~node20(s384))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32282, 32281])).
% 9.82/7.50 tff(32284,plain,
% 9.82/7.50 (~node20(s384)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32283, 32139, 32280])).
% 9.82/7.50 tff(32285,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state1(s383, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state1(s383, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32286,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s383, c_n1)) | (~m_main_v_state1(s383, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32287,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s383, c_n1)) | (~m_main_v_state1(s383, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 9.82/7.50 tff(32288,plain,
% 9.82/7.50 (~m_main_v_state1(s383, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32287, 10, 30606])).
% 9.82/7.50 tff(32289,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s383, c_t1) | (~node20(s383)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s383, c_t1) | (~node20(s383)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32290,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s383, c_t1) | (~node20(s383)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32291,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s383, c_t1) | (~node20(s383))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32290, 32289])).
% 9.82/7.50 tff(32292,plain,
% 9.82/7.50 (~node20(s383)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32291, 32116, 32288])).
% 9.82/7.50 tff(32293,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s382)) | (~m_main_v_state1(s382, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s382)) | (~m_main_v_state1(s382, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32294,plain,
% 9.82/7.50 (((~m_main_v_state1(s382, c_c1)) | (~always19(s382))) <=> ((~always19(s382)) | (~m_main_v_state1(s382, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32295,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s382, c_c1)) | (~always19(s382)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s382)) | (~m_main_v_state1(s382, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32294])).
% 9.82/7.50 tff(32296,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s382, c_c1)) | (~always19(s382)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s382)) | (~m_main_v_state1(s382, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32295, 32293])).
% 9.82/7.50 tff(32297,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s382, c_c1)) | (~always19(s382)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32298,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s382)) | (~m_main_v_state1(s382, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 9.82/7.50 tff(32299,plain,
% 9.82/7.50 (~always19(s382)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32298, 28559, 30524])).
% 9.82/7.50 tff(32300,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s381, s382)) | (~always19(s381)) | always19(s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s381, s382)) | (~always19(s381)) | always19(s382))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32301,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s381, s382)) | (~always19(s381)) | always19(s382))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32302,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s381, s382)) | (~always19(s381)) | always19(s382)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 9.82/7.50 tff(32303,plain,
% 9.82/7.50 ((~always19(s381)) | always19(s382)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32302, 28576, 30440])).
% 9.82/7.50 tff(32304,plain,
% 9.82/7.50 (~always19(s381)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32303, 32299])).
% 9.82/7.50 tff(32305,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s381) | (~node20(s381)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s381) | (~node20(s381)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32306,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s381) | (~node20(s381)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32307,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s381) | (~node20(s381))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 9.82/7.50 tff(32308,plain,
% 9.82/7.50 (~node20(s381)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32307, 32139, 32304])).
% 9.82/7.50 tff(32309,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s380, s381)) | (~always19(s380)) | always19(s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s380, s381)) | (~always19(s380)) | always19(s381))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32310,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s380, s381)) | (~always19(s380)) | always19(s381))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32311,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s380, s381)) | (~always19(s380)) | always19(s381)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32310, 32309])).
% 9.82/7.50 tff(32312,plain,
% 9.82/7.50 ((~always19(s380)) | always19(s381)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32311, 28576, 30373])).
% 9.82/7.50 tff(32313,plain,
% 9.82/7.50 (~always19(s380)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32312, 32304])).
% 9.82/7.50 tff(32314,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s380) | (~node20(s380)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s380) | (~node20(s380)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32315,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s380) | (~node20(s380)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32316,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s380) | (~node20(s380))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32315, 32314])).
% 9.82/7.50 tff(32317,plain,
% 9.82/7.50 (~node20(s380)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32316, 32139, 32313])).
% 9.82/7.50 tff(32318,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state1(s379, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state1(s379, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32319,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s379, c_n1)) | (~m_main_v_state1(s379, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32320,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s379, c_n1)) | (~m_main_v_state1(s379, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32319, 32318])).
% 9.82/7.50 tff(32321,plain,
% 9.82/7.50 (~m_main_v_state1(s379, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32320, 10, 30221])).
% 9.82/7.50 tff(32322,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s379, c_t1) | (~node20(s379)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s379, c_t1) | (~node20(s379)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32323,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s379, c_t1) | (~node20(s379)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32324,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s379, c_t1) | (~node20(s379))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32323, 32322])).
% 9.82/7.50 tff(32325,plain,
% 9.82/7.50 (~node20(s379)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32324, 32116, 32321])).
% 9.82/7.50 tff(32326,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s378)) | (~m_main_v_state1(s378, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s378)) | (~m_main_v_state1(s378, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32327,plain,
% 9.82/7.50 (((~m_main_v_state1(s378, c_c1)) | (~always19(s378))) <=> ((~always19(s378)) | (~m_main_v_state1(s378, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32328,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s378, c_c1)) | (~always19(s378)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s378)) | (~m_main_v_state1(s378, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32327])).
% 9.82/7.50 tff(32329,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s378, c_c1)) | (~always19(s378)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s378)) | (~m_main_v_state1(s378, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32328, 32326])).
% 9.82/7.50 tff(32330,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s378, c_c1)) | (~always19(s378)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32331,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s378)) | (~m_main_v_state1(s378, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 9.82/7.50 tff(32332,plain,
% 9.82/7.50 (~always19(s378)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32331, 28559, 30157])).
% 9.82/7.50 tff(32333,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s377, s378)) | (~always19(s377)) | always19(s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s377, s378)) | (~always19(s377)) | always19(s378))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32334,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s377, s378)) | (~always19(s377)) | always19(s378))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32335,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s377, s378)) | (~always19(s377)) | always19(s378)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32334, 32333])).
% 9.82/7.50 tff(32336,plain,
% 9.82/7.50 ((~always19(s377)) | always19(s378)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32335, 28576, 30145])).
% 9.82/7.50 tff(32337,plain,
% 9.82/7.50 (~always19(s377)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32336, 32332])).
% 9.82/7.50 tff(32338,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s377) | (~node20(s377)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s377) | (~node20(s377)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32339,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s377) | (~node20(s377)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32340,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s377) | (~node20(s377))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 9.82/7.50 tff(32341,plain,
% 9.82/7.50 (~node20(s377)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32340, 32139, 32337])).
% 9.82/7.50 tff(32342,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s376, s377)) | (~always19(s376)) | always19(s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s376, s377)) | (~always19(s376)) | always19(s377))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32343,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s376, s377)) | (~always19(s376)) | always19(s377))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32344,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s376, s377)) | (~always19(s376)) | always19(s377)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32343, 32342])).
% 9.82/7.50 tff(32345,plain,
% 9.82/7.50 ((~always19(s376)) | always19(s377)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32344, 28576, 30050])).
% 9.82/7.50 tff(32346,plain,
% 9.82/7.50 (~always19(s376)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32345, 32337])).
% 9.82/7.50 tff(32347,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s376) | (~node20(s376)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s376) | (~node20(s376)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32348,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s376) | (~node20(s376)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32349,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s376) | (~node20(s376))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 9.82/7.50 tff(32350,plain,
% 9.82/7.50 (~node20(s376)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32349, 32139, 32346])).
% 9.82/7.50 tff(32351,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state1(s375, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state1(s375, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32352,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s375, c_n1)) | (~m_main_v_state1(s375, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32353,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s375, c_n1)) | (~m_main_v_state1(s375, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 9.82/7.50 tff(32354,plain,
% 9.82/7.50 (~m_main_v_state1(s375, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32353, 10, 29978])).
% 9.82/7.50 tff(32355,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s375, c_t1) | (~node20(s375)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s375, c_t1) | (~node20(s375)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32356,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s375, c_t1) | (~node20(s375)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32357,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s375, c_t1) | (~node20(s375))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32356, 32355])).
% 9.82/7.50 tff(32358,plain,
% 9.82/7.50 (~node20(s375)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32357, 32116, 32354])).
% 9.82/7.50 tff(32359,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s374)) | (~m_main_v_state1(s374, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s374)) | (~m_main_v_state1(s374, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32360,plain,
% 9.82/7.50 (((~m_main_v_state1(s374, c_c1)) | (~always19(s374))) <=> ((~always19(s374)) | (~m_main_v_state1(s374, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32361,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s374, c_c1)) | (~always19(s374)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s374)) | (~m_main_v_state1(s374, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32360])).
% 9.82/7.50 tff(32362,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s374, c_c1)) | (~always19(s374)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s374)) | (~m_main_v_state1(s374, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32361, 32359])).
% 9.82/7.50 tff(32363,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s374, c_c1)) | (~always19(s374)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32364,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s374)) | (~m_main_v_state1(s374, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32363, 32362])).
% 9.82/7.50 tff(32365,plain,
% 9.82/7.50 (~always19(s374)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32364, 28559, 29896])).
% 9.82/7.50 tff(32366,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s373, s374)) | (~always19(s373)) | always19(s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s373, s374)) | (~always19(s373)) | always19(s374))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32367,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s373, s374)) | (~always19(s373)) | always19(s374))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32368,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s373, s374)) | (~always19(s373)) | always19(s374)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 9.82/7.50 tff(32369,plain,
% 9.82/7.50 ((~always19(s373)) | always19(s374)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32368, 28576, 29812])).
% 9.82/7.50 tff(32370,plain,
% 9.82/7.50 (~always19(s373)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32369, 32365])).
% 9.82/7.50 tff(32371,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s373) | (~node20(s373)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s373) | (~node20(s373)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32372,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s373) | (~node20(s373)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32373,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s373) | (~node20(s373))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32372, 32371])).
% 9.82/7.50 tff(32374,plain,
% 9.82/7.50 (~node20(s373)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32373, 32139, 32370])).
% 9.82/7.50 tff(32375,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s372, s373)) | (~always19(s372)) | always19(s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s372, s373)) | (~always19(s372)) | always19(s373))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32376,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s372, s373)) | (~always19(s372)) | always19(s373))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32377,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s372, s373)) | (~always19(s372)) | always19(s373)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32376, 32375])).
% 9.82/7.50 tff(32378,plain,
% 9.82/7.50 ((~always19(s372)) | always19(s373)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32377, 28576, 29745])).
% 9.82/7.50 tff(32379,plain,
% 9.82/7.50 (~always19(s372)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32378, 32370])).
% 9.82/7.50 tff(32380,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s372) | (~node20(s372)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s372) | (~node20(s372)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32381,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s372) | (~node20(s372)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32382,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s372) | (~node20(s372))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32381, 32380])).
% 9.82/7.50 tff(32383,plain,
% 9.82/7.50 (~node20(s372)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32382, 32139, 32379])).
% 9.82/7.50 tff(32384,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state1(s371, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state1(s371, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32385,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s371, c_n1)) | (~m_main_v_state1(s371, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32386,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s371, c_n1)) | (~m_main_v_state1(s371, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 9.82/7.50 tff(32387,plain,
% 9.82/7.50 (~m_main_v_state1(s371, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32386, 10, 29593])).
% 9.82/7.50 tff(32388,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s371, c_t1) | (~node20(s371)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s371, c_t1) | (~node20(s371)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32389,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s371, c_t1) | (~node20(s371)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32390,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s371, c_t1) | (~node20(s371))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 9.82/7.50 tff(32391,plain,
% 9.82/7.50 (~node20(s371)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32390, 32116, 32387])).
% 9.82/7.50 tff(32392,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s370)) | (~m_main_v_state1(s370, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s370)) | (~m_main_v_state1(s370, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32393,plain,
% 9.82/7.50 (((~m_main_v_state1(s370, c_c1)) | (~always19(s370))) <=> ((~always19(s370)) | (~m_main_v_state1(s370, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32394,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s370, c_c1)) | (~always19(s370)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s370)) | (~m_main_v_state1(s370, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32393])).
% 9.82/7.50 tff(32395,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s370, c_c1)) | (~always19(s370)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s370)) | (~m_main_v_state1(s370, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32394, 32392])).
% 9.82/7.50 tff(32396,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s370, c_c1)) | (~always19(s370)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32397,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s370)) | (~m_main_v_state1(s370, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 9.82/7.50 tff(32398,plain,
% 9.82/7.50 (~always19(s370)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32397, 28559, 29529])).
% 9.82/7.50 tff(32399,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s369, s370)) | (~always19(s369)) | always19(s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s369, s370)) | (~always19(s369)) | always19(s370))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32400,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s369, s370)) | (~always19(s369)) | always19(s370))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32401,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s369, s370)) | (~always19(s369)) | always19(s370)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 9.82/7.50 tff(32402,plain,
% 9.82/7.50 ((~always19(s369)) | always19(s370)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32401, 28576, 29517])).
% 9.82/7.50 tff(32403,plain,
% 9.82/7.50 (~always19(s369)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32402, 32398])).
% 9.82/7.50 tff(32404,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s369) | (~node20(s369)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s369) | (~node20(s369)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32405,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s369) | (~node20(s369)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32406,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s369) | (~node20(s369))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32405, 32404])).
% 9.82/7.50 tff(32407,plain,
% 9.82/7.50 (~node20(s369)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32406, 32139, 32403])).
% 9.82/7.50 tff(32408,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s368, s369)) | (~always19(s368)) | always19(s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s368, s369)) | (~always19(s368)) | always19(s369))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32409,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s368, s369)) | (~always19(s368)) | always19(s369))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32410,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s368, s369)) | (~always19(s368)) | always19(s369)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32409, 32408])).
% 9.82/7.50 tff(32411,plain,
% 9.82/7.50 ((~always19(s368)) | always19(s369)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32410, 28576, 29422])).
% 9.82/7.50 tff(32412,plain,
% 9.82/7.50 (~always19(s368)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32411, 32403])).
% 9.82/7.50 tff(32413,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s368) | (~node20(s368)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s368) | (~node20(s368)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32414,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s368) | (~node20(s368)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32415,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s368) | (~node20(s368))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32414, 32413])).
% 9.82/7.50 tff(32416,plain,
% 9.82/7.50 (~node20(s368)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32415, 32139, 32412])).
% 9.82/7.50 tff(32417,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state1(s367, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state1(s367, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32418,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s367, c_n1)) | (~m_main_v_state1(s367, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32419,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s367, c_n1)) | (~m_main_v_state1(s367, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32418, 32417])).
% 9.82/7.50 tff(32420,plain,
% 9.82/7.50 (~m_main_v_state1(s367, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32419, 10, 29350])).
% 9.82/7.50 tff(32421,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s367, c_t1) | (~node20(s367)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s367, c_t1) | (~node20(s367)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32422,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s367, c_t1) | (~node20(s367)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32423,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s367, c_t1) | (~node20(s367))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 9.82/7.50 tff(32424,plain,
% 9.82/7.50 (~node20(s367)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32423, 32116, 32420])).
% 9.82/7.50 tff(32425,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s366)) | (~m_main_v_state1(s366, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s366)) | (~m_main_v_state1(s366, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32426,plain,
% 9.82/7.50 (((~m_main_v_state1(s366, c_c1)) | (~always19(s366))) <=> ((~always19(s366)) | (~m_main_v_state1(s366, c_c1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32427,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s366, c_c1)) | (~always19(s366)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s366)) | (~m_main_v_state1(s366, c_c1))))),
% 9.82/7.50 inference(monotonicity,[status(thm)],[32426])).
% 9.82/7.50 tff(32428,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s366, c_c1)) | (~always19(s366)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s366)) | (~m_main_v_state1(s366, c_c1)))),
% 9.82/7.50 inference(transitivity,[status(thm)],[32427, 32425])).
% 9.82/7.50 tff(32429,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s366, c_c1)) | (~always19(s366)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32430,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s366)) | (~m_main_v_state1(s366, c_c1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32429, 32428])).
% 9.82/7.50 tff(32431,plain,
% 9.82/7.50 (~always19(s366)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32430, 28559, 29268])).
% 9.82/7.50 tff(32432,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s365, s366)) | (~always19(s365)) | always19(s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s365, s366)) | (~always19(s365)) | always19(s366))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32433,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s365, s366)) | (~always19(s365)) | always19(s366))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32434,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s365, s366)) | (~always19(s365)) | always19(s366)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 9.82/7.50 tff(32435,plain,
% 9.82/7.50 ((~always19(s365)) | always19(s366)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32434, 28576, 29184])).
% 9.82/7.50 tff(32436,plain,
% 9.82/7.50 (~always19(s365)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32435, 32431])).
% 9.82/7.50 tff(32437,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s365) | (~node20(s365)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s365) | (~node20(s365)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32438,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s365) | (~node20(s365)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32439,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s365) | (~node20(s365))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32438, 32437])).
% 9.82/7.50 tff(32440,plain,
% 9.82/7.50 (~node20(s365)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32439, 32139, 32436])).
% 9.82/7.50 tff(32441,plain,
% 9.82/7.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s364, s365)) | (~always19(s364)) | always19(s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s364, s365)) | (~always19(s364)) | always19(s365))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32442,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s364, s365)) | (~always19(s364)) | always19(s365))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32443,plain,
% 9.82/7.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s364, s365)) | (~always19(s364)) | always19(s365)),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 9.82/7.50 tff(32444,plain,
% 9.82/7.50 ((~always19(s364)) | always19(s365)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32443, 28576, 29117])).
% 9.82/7.50 tff(32445,plain,
% 9.82/7.50 (~always19(s364)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32444, 32436])).
% 9.82/7.50 tff(32446,plain,
% 9.82/7.50 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s364) | (~node20(s364)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s364) | (~node20(s364)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32447,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s364) | (~node20(s364)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32448,plain,
% 9.82/7.50 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s364) | (~node20(s364))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 9.82/7.50 tff(32449,plain,
% 9.82/7.50 (~node20(s364)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32448, 32139, 32445])).
% 9.82/7.50 tff(32450,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state1(s363, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state1(s363, c_t1)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32451,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s363, c_n1)) | (~m_main_v_state1(s363, c_t1)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32452,plain,
% 9.82/7.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s363, c_n1)) | (~m_main_v_state1(s363, c_t1))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32451, 32450])).
% 9.82/7.50 tff(32453,plain,
% 9.82/7.50 (~m_main_v_state1(s363, c_t1)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32452, 10, 28965])).
% 9.82/7.50 tff(32454,plain,
% 9.82/7.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s363, c_t1) | (~node20(s363)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s363, c_t1) | (~node20(s363)))),
% 9.82/7.50 inference(rewrite,[status(thm)],[])).
% 9.82/7.50 tff(32455,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s363, c_t1) | (~node20(s363)))),
% 9.82/7.50 inference(quant_inst,[status(thm)],[])).
% 9.82/7.50 tff(32456,plain,
% 9.82/7.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s363, c_t1) | (~node20(s363))),
% 9.82/7.50 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 9.82/7.50 tff(32457,plain,
% 9.82/7.50 (~node20(s363)),
% 9.82/7.50 inference(unit_resolution,[status(thm)],[32456, 32116, 32453])).
% 9.82/7.50 tff(32458,plain,
% 9.82/7.50 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s362)) | (~m_main_v_state1(s362, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s362)) | (~m_main_v_state1(s362, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32459,plain,
% 9.82/7.51 (((~m_main_v_state1(s362, c_c1)) | (~always19(s362))) <=> ((~always19(s362)) | (~m_main_v_state1(s362, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32460,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s362, c_c1)) | (~always19(s362)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s362)) | (~m_main_v_state1(s362, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32459])).
% 9.82/7.51 tff(32461,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s362, c_c1)) | (~always19(s362)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s362)) | (~m_main_v_state1(s362, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32460, 32458])).
% 9.82/7.51 tff(32462,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s362, c_c1)) | (~always19(s362)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32463,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s362)) | (~m_main_v_state1(s362, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 9.82/7.51 tff(32464,plain,
% 9.82/7.51 (~always19(s362)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32463, 28559, 28901])).
% 9.82/7.51 tff(32465,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s361, s362)) | (~always19(s361)) | always19(s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s361, s362)) | (~always19(s361)) | always19(s362))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32466,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s361, s362)) | (~always19(s361)) | always19(s362))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32467,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s361, s362)) | (~always19(s361)) | always19(s362)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 9.82/7.51 tff(32468,plain,
% 9.82/7.51 ((~always19(s361)) | always19(s362)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32467, 28576, 28889])).
% 9.82/7.51 tff(32469,plain,
% 9.82/7.51 (~always19(s361)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32468, 32464])).
% 9.82/7.51 tff(32470,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s361) | (~node20(s361)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s361) | (~node20(s361)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32471,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s361) | (~node20(s361)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32472,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s361) | (~node20(s361))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32471, 32470])).
% 9.82/7.51 tff(32473,plain,
% 9.82/7.51 (~node20(s361)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32472, 32139, 32469])).
% 9.82/7.51 tff(32474,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s360, s361)) | (~always19(s360)) | always19(s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s360, s361)) | (~always19(s360)) | always19(s361))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32475,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s360, s361)) | (~always19(s360)) | always19(s361))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32476,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s360, s361)) | (~always19(s360)) | always19(s361)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 9.82/7.51 tff(32477,plain,
% 9.82/7.51 ((~always19(s360)) | always19(s361)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32476, 28576, 28794])).
% 9.82/7.51 tff(32478,plain,
% 9.82/7.51 (~always19(s360)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32477, 32469])).
% 9.82/7.51 tff(32479,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s360) | (~node20(s360)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s360) | (~node20(s360)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32480,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s360) | (~node20(s360)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32481,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s360) | (~node20(s360))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 9.82/7.51 tff(32482,plain,
% 9.82/7.51 (~node20(s360)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32481, 32139, 32478])).
% 9.82/7.51 tff(32483,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state1(s359, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state1(s359, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32484,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s359, c_n1)) | (~m_main_v_state1(s359, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32485,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s359, c_n1)) | (~m_main_v_state1(s359, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 9.82/7.51 tff(32486,plain,
% 9.82/7.51 (~m_main_v_state1(s359, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32485, 10, 28722])).
% 9.82/7.51 tff(32487,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s359, c_t1) | (~node20(s359)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s359, c_t1) | (~node20(s359)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32488,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s359, c_t1) | (~node20(s359)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32489,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s359, c_t1) | (~node20(s359))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 9.82/7.51 tff(32490,plain,
% 9.82/7.51 (~node20(s359)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32489, 32116, 32486])).
% 9.82/7.51 tff(32491,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s357) | (~node20(s357)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s357) | (~node20(s357)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32492,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s357) | (~node20(s357)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32493,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s357) | (~node20(s357))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 9.82/7.51 tff(32494,plain,
% 9.82/7.51 (~node20(s357)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32493, 32139, 28581])).
% 9.82/7.51 tff(32495,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s356) | (~node20(s356)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s356) | (~node20(s356)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32496,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s356) | (~node20(s356)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32497,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s356) | (~node20(s356))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 9.82/7.51 tff(32498,plain,
% 9.82/7.51 (~node20(s356)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32497, 32139, 28586])).
% 9.82/7.51 tff(32499,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state1(s355, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state1(s355, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32500,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s355, c_n1)) | (~m_main_v_state1(s355, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32501,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s355, c_n1)) | (~m_main_v_state1(s355, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 9.82/7.51 tff(32502,plain,
% 9.82/7.51 (~m_main_v_state1(s355, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32501, 10, 28373])).
% 9.82/7.51 tff(32503,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s355, c_t1) | (~node20(s355)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s355, c_t1) | (~node20(s355)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32504,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s355, c_t1) | (~node20(s355)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32505,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s355, c_t1) | (~node20(s355))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32504, 32503])).
% 9.82/7.51 tff(32506,plain,
% 9.82/7.51 (~node20(s355)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32505, 32116, 32502])).
% 9.82/7.51 tff(32507,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s354)) | (~m_main_v_state1(s354, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s354)) | (~m_main_v_state1(s354, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32508,plain,
% 9.82/7.51 (((~m_main_v_state1(s354, c_c1)) | (~always19(s354))) <=> ((~always19(s354)) | (~m_main_v_state1(s354, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32509,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s354, c_c1)) | (~always19(s354)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s354)) | (~m_main_v_state1(s354, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32508])).
% 9.82/7.51 tff(32510,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s354, c_c1)) | (~always19(s354)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s354)) | (~m_main_v_state1(s354, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32509, 32507])).
% 9.82/7.51 tff(32511,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s354, c_c1)) | (~always19(s354)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32512,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s354)) | (~m_main_v_state1(s354, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32511, 32510])).
% 9.82/7.51 tff(32513,plain,
% 9.82/7.51 (~always19(s354)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32512, 28559, 28291])).
% 9.82/7.51 tff(32514,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s353, s354)) | (~always19(s353)) | always19(s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s353, s354)) | (~always19(s353)) | always19(s354))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32515,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s353, s354)) | (~always19(s353)) | always19(s354))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32516,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s353, s354)) | (~always19(s353)) | always19(s354)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32515, 32514])).
% 9.82/7.51 tff(32517,plain,
% 9.82/7.51 ((~always19(s353)) | always19(s354)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32516, 28576, 28207])).
% 9.82/7.51 tff(32518,plain,
% 9.82/7.51 (~always19(s353)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32517, 32513])).
% 9.82/7.51 tff(32519,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s353) | (~node20(s353)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s353) | (~node20(s353)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32520,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s353) | (~node20(s353)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32521,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s353) | (~node20(s353))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32520, 32519])).
% 9.82/7.51 tff(32522,plain,
% 9.82/7.51 (~node20(s353)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32521, 32139, 32518])).
% 9.82/7.51 tff(32523,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s352, s353)) | (~always19(s352)) | always19(s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s352, s353)) | (~always19(s352)) | always19(s353))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32524,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s352, s353)) | (~always19(s352)) | always19(s353))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32525,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s352, s353)) | (~always19(s352)) | always19(s353)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 9.82/7.51 tff(32526,plain,
% 9.82/7.51 ((~always19(s352)) | always19(s353)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32525, 28576, 28140])).
% 9.82/7.51 tff(32527,plain,
% 9.82/7.51 (~always19(s352)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32526, 32518])).
% 9.82/7.51 tff(32528,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s352) | (~node20(s352)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s352) | (~node20(s352)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32529,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s352) | (~node20(s352)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32530,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s352) | (~node20(s352))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 9.82/7.51 tff(32531,plain,
% 9.82/7.51 (~node20(s352)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32530, 32139, 32527])).
% 9.82/7.51 tff(32532,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state1(s351, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state1(s351, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32533,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s351, c_n1)) | (~m_main_v_state1(s351, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32534,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s351, c_n1)) | (~m_main_v_state1(s351, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32533, 32532])).
% 9.82/7.51 tff(32535,plain,
% 9.82/7.51 (~m_main_v_state1(s351, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32534, 10, 27988])).
% 9.82/7.51 tff(32536,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s351, c_t1) | (~node20(s351)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s351, c_t1) | (~node20(s351)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32537,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s351, c_t1) | (~node20(s351)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32538,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s351, c_t1) | (~node20(s351))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32537, 32536])).
% 9.82/7.51 tff(32539,plain,
% 9.82/7.51 (~node20(s351)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32538, 32116, 32535])).
% 9.82/7.51 tff(32540,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s350)) | (~m_main_v_state1(s350, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s350)) | (~m_main_v_state1(s350, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32541,plain,
% 9.82/7.51 (((~m_main_v_state1(s350, c_c1)) | (~always19(s350))) <=> ((~always19(s350)) | (~m_main_v_state1(s350, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32542,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s350, c_c1)) | (~always19(s350)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s350)) | (~m_main_v_state1(s350, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32541])).
% 9.82/7.51 tff(32543,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s350, c_c1)) | (~always19(s350)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s350)) | (~m_main_v_state1(s350, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32542, 32540])).
% 9.82/7.51 tff(32544,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s350, c_c1)) | (~always19(s350)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32545,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s350)) | (~m_main_v_state1(s350, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32544, 32543])).
% 9.82/7.51 tff(32546,plain,
% 9.82/7.51 (~always19(s350)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32545, 28559, 27924])).
% 9.82/7.51 tff(32547,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s349, s350)) | (~always19(s349)) | always19(s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s349, s350)) | (~always19(s349)) | always19(s350))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32548,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s349, s350)) | (~always19(s349)) | always19(s350))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32549,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s349, s350)) | (~always19(s349)) | always19(s350)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32548, 32547])).
% 9.82/7.51 tff(32550,plain,
% 9.82/7.51 ((~always19(s349)) | always19(s350)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32549, 28576, 27912])).
% 9.82/7.51 tff(32551,plain,
% 9.82/7.51 (~always19(s349)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32550, 32546])).
% 9.82/7.51 tff(32552,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s349) | (~node20(s349)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s349) | (~node20(s349)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32553,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s349) | (~node20(s349)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32554,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s349) | (~node20(s349))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32553, 32552])).
% 9.82/7.51 tff(32555,plain,
% 9.82/7.51 (~node20(s349)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32554, 32139, 32551])).
% 9.82/7.51 tff(32556,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s348, s349)) | (~always19(s348)) | always19(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s348, s349)) | (~always19(s348)) | always19(s349))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32557,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s348, s349)) | (~always19(s348)) | always19(s349))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32558,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s348, s349)) | (~always19(s348)) | always19(s349)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32557, 32556])).
% 9.82/7.51 tff(32559,plain,
% 9.82/7.51 ((~always19(s348)) | always19(s349)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32558, 28576, 27817])).
% 9.82/7.51 tff(32560,plain,
% 9.82/7.51 (~always19(s348)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32559, 32551])).
% 9.82/7.51 tff(32561,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s348) | (~node20(s348)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s348) | (~node20(s348)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32562,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s348) | (~node20(s348)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32563,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s348) | (~node20(s348))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 9.82/7.51 tff(32564,plain,
% 9.82/7.51 (~node20(s348)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32563, 32139, 32560])).
% 9.82/7.51 tff(32565,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state1(s347, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state1(s347, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32566,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s347, c_n1)) | (~m_main_v_state1(s347, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32567,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s347, c_n1)) | (~m_main_v_state1(s347, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32566, 32565])).
% 9.82/7.51 tff(32568,plain,
% 9.82/7.51 (~m_main_v_state1(s347, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32567, 10, 27745])).
% 9.82/7.51 tff(32569,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s347, c_t1) | (~node20(s347)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s347, c_t1) | (~node20(s347)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32570,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s347, c_t1) | (~node20(s347)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32571,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s347, c_t1) | (~node20(s347))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32570, 32569])).
% 9.82/7.51 tff(32572,plain,
% 9.82/7.51 (~node20(s347)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32571, 32116, 32568])).
% 9.82/7.51 tff(32573,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s346)) | (~m_main_v_state1(s346, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s346)) | (~m_main_v_state1(s346, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32574,plain,
% 9.82/7.51 (((~m_main_v_state1(s346, c_c1)) | (~always19(s346))) <=> ((~always19(s346)) | (~m_main_v_state1(s346, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32575,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s346, c_c1)) | (~always19(s346)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s346)) | (~m_main_v_state1(s346, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32574])).
% 9.82/7.51 tff(32576,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s346, c_c1)) | (~always19(s346)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s346)) | (~m_main_v_state1(s346, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32575, 32573])).
% 9.82/7.51 tff(32577,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s346, c_c1)) | (~always19(s346)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32578,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s346)) | (~m_main_v_state1(s346, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32577, 32576])).
% 9.82/7.51 tff(32579,plain,
% 9.82/7.51 (~always19(s346)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32578, 28559, 27663])).
% 9.82/7.51 tff(32580,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s345, s346)) | (~always19(s345)) | always19(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s345, s346)) | (~always19(s345)) | always19(s346))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32581,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s345, s346)) | (~always19(s345)) | always19(s346))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32582,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s345, s346)) | (~always19(s345)) | always19(s346)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32581, 32580])).
% 9.82/7.51 tff(32583,plain,
% 9.82/7.51 ((~always19(s345)) | always19(s346)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32582, 28576, 27579])).
% 9.82/7.51 tff(32584,plain,
% 9.82/7.51 (~always19(s345)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32583, 32579])).
% 9.82/7.51 tff(32585,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s345) | (~node20(s345)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s345) | (~node20(s345)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32586,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s345) | (~node20(s345)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32587,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s345) | (~node20(s345))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 9.82/7.51 tff(32588,plain,
% 9.82/7.51 (~node20(s345)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32587, 32139, 32584])).
% 9.82/7.51 tff(32589,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s344, s345)) | (~always19(s344)) | always19(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s344, s345)) | (~always19(s344)) | always19(s345))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32590,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s344, s345)) | (~always19(s344)) | always19(s345))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32591,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s344, s345)) | (~always19(s344)) | always19(s345)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 9.82/7.51 tff(32592,plain,
% 9.82/7.51 ((~always19(s344)) | always19(s345)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32591, 28576, 27512])).
% 9.82/7.51 tff(32593,plain,
% 9.82/7.51 (~always19(s344)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32592, 32584])).
% 9.82/7.51 tff(32594,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s344) | (~node20(s344)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s344) | (~node20(s344)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32595,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s344) | (~node20(s344)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32596,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s344) | (~node20(s344))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32595, 32594])).
% 9.82/7.51 tff(32597,plain,
% 9.82/7.51 (~node20(s344)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32596, 32139, 32593])).
% 9.82/7.51 tff(32598,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state1(s343, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state1(s343, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32599,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s343, c_n1)) | (~m_main_v_state1(s343, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32600,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s343, c_n1)) | (~m_main_v_state1(s343, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32599, 32598])).
% 9.82/7.51 tff(32601,plain,
% 9.82/7.51 (~m_main_v_state1(s343, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32600, 10, 27360])).
% 9.82/7.51 tff(32602,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s343, c_t1) | (~node20(s343)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s343, c_t1) | (~node20(s343)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32603,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s343, c_t1) | (~node20(s343)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32604,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s343, c_t1) | (~node20(s343))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 9.82/7.51 tff(32605,plain,
% 9.82/7.51 (~node20(s343)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32604, 32116, 32601])).
% 9.82/7.51 tff(32606,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s342)) | (~m_main_v_state1(s342, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s342)) | (~m_main_v_state1(s342, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32607,plain,
% 9.82/7.51 (((~m_main_v_state1(s342, c_c1)) | (~always19(s342))) <=> ((~always19(s342)) | (~m_main_v_state1(s342, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32608,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s342, c_c1)) | (~always19(s342)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s342)) | (~m_main_v_state1(s342, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32607])).
% 9.82/7.51 tff(32609,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s342, c_c1)) | (~always19(s342)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s342)) | (~m_main_v_state1(s342, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32608, 32606])).
% 9.82/7.51 tff(32610,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s342, c_c1)) | (~always19(s342)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32611,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s342)) | (~m_main_v_state1(s342, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32610, 32609])).
% 9.82/7.51 tff(32612,plain,
% 9.82/7.51 (~always19(s342)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32611, 28559, 27296])).
% 9.82/7.51 tff(32613,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s341, s342)) | (~always19(s341)) | always19(s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s341, s342)) | (~always19(s341)) | always19(s342))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32614,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s341, s342)) | (~always19(s341)) | always19(s342))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32615,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s341, s342)) | (~always19(s341)) | always19(s342)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 9.82/7.51 tff(32616,plain,
% 9.82/7.51 ((~always19(s341)) | always19(s342)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32615, 28576, 27284])).
% 9.82/7.51 tff(32617,plain,
% 9.82/7.51 (~always19(s341)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32616, 32612])).
% 9.82/7.51 tff(32618,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s341) | (~node20(s341)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s341) | (~node20(s341)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32619,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s341) | (~node20(s341)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32620,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s341) | (~node20(s341))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 9.82/7.51 tff(32621,plain,
% 9.82/7.51 (~node20(s341)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32620, 32139, 32617])).
% 9.82/7.51 tff(32622,plain,
% 9.82/7.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s340, s341)) | (~always19(s340)) | always19(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s340, s341)) | (~always19(s340)) | always19(s341))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32623,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s340, s341)) | (~always19(s340)) | always19(s341))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32624,plain,
% 9.82/7.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s340, s341)) | (~always19(s340)) | always19(s341)),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32623, 32622])).
% 9.82/7.51 tff(32625,plain,
% 9.82/7.51 ((~always19(s340)) | always19(s341)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32624, 28576, 27189])).
% 9.82/7.51 tff(32626,plain,
% 9.82/7.51 (~always19(s340)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32625, 32617])).
% 9.82/7.51 tff(32627,plain,
% 9.82/7.51 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s340) | (~node20(s340)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s340) | (~node20(s340)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32628,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s340) | (~node20(s340)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32629,plain,
% 9.82/7.51 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s340) | (~node20(s340))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32628, 32627])).
% 9.82/7.51 tff(32630,plain,
% 9.82/7.51 (~node20(s340)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32629, 32139, 32626])).
% 9.82/7.51 tff(32631,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state1(s339, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state1(s339, c_t1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32632,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s339, c_n1)) | (~m_main_v_state1(s339, c_t1)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32633,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s339, c_n1)) | (~m_main_v_state1(s339, c_t1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32632, 32631])).
% 9.82/7.51 tff(32634,plain,
% 9.82/7.51 (~m_main_v_state1(s339, c_t1)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32633, 10, 27117])).
% 9.82/7.51 tff(32635,plain,
% 9.82/7.51 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s339, c_t1) | (~node20(s339)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s339, c_t1) | (~node20(s339)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32636,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s339, c_t1) | (~node20(s339)))),
% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32637,plain,
% 9.82/7.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s339, c_t1) | (~node20(s339))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 9.82/7.51 tff(32638,plain,
% 9.82/7.51 (~node20(s339)),
% 9.82/7.51 inference(unit_resolution,[status(thm)],[32637, 32116, 32634])).
% 9.82/7.51 tff(32639,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s338)) | (~m_main_v_state1(s338, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s338)) | (~m_main_v_state1(s338, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32640,plain,
% 9.82/7.51 (((~m_main_v_state1(s338, c_c1)) | (~always19(s338))) <=> ((~always19(s338)) | (~m_main_v_state1(s338, c_c1)))),
% 9.82/7.51 inference(rewrite,[status(thm)],[])).
% 9.82/7.51 tff(32641,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s338, c_c1)) | (~always19(s338)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s338)) | (~m_main_v_state1(s338, c_c1))))),
% 9.82/7.51 inference(monotonicity,[status(thm)],[32640])).
% 9.82/7.51 tff(32642,plain,
% 9.82/7.51 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s338, c_c1)) | (~always19(s338)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s338)) | (~m_main_v_state1(s338, c_c1)))),
% 9.82/7.51 inference(transitivity,[status(thm)],[32641, 32639])).
% 9.82/7.51 tff(32643,plain,
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% 9.82/7.51 inference(quant_inst,[status(thm)],[])).
% 9.82/7.51 tff(32644,plain,
% 9.82/7.51 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s338)) | (~m_main_v_state1(s338, c_c1))),
% 9.82/7.51 inference(modus_ponens,[status(thm)],[32643, 32642])).
% 9.82/7.52 tff(32645,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32644, 28559, 27035])).
% 9.82/7.52 tff(32646,plain,
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32647,plain,
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32648,plain,
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32647, 32646])).
% 9.82/7.52 tff(32649,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32648, 28576, 26951])).
% 9.82/7.52 tff(32650,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32649, 32645])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32653,plain,
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32652, 32651])).
% 9.82/7.52 tff(32654,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32653, 32139, 32650])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32656,plain,
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32657,plain,
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32656, 32655])).
% 9.82/7.52 tff(32658,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32657, 28576, 26884])).
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32658, 32650])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32662,plain,
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 9.82/7.52 tff(32663,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32662, 32139, 32659])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32665,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s335, c_n1)) | (~m_main_v_state1(s335, c_t1)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32666,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s335, c_n1)) | (~m_main_v_state1(s335, c_t1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 9.82/7.52 tff(32667,plain,
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32666, 10, 26732])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s335, c_t1) | (~node20(s335)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32670,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s335, c_t1) | (~node20(s335))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32669, 32668])).
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32670, 32116, 32667])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32673,plain,
% 9.82/7.52 (((~m_main_v_state1(s334, c_c1)) | (~always19(s334))) <=> ((~always19(s334)) | (~m_main_v_state1(s334, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32674,plain,
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% 9.82/7.52 inference(monotonicity,[status(thm)],[32673])).
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% 9.82/7.52 inference(transitivity,[status(thm)],[32674, 32672])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32676, 32675])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32680, 32679])).
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32681, 28576, 26656])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32690, 28576, 26561])).
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% 9.82/7.52 inference(unit_resolution,[status(thm)],[32691, 32683])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
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% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
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% 9.82/7.52 inference(modus_ponens,[status(thm)],[32698, 32697])).
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% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32702,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s331, c_t1) | (~node20(s331)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32703,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s331, c_t1) | (~node20(s331))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 9.82/7.52 tff(32704,plain,
% 9.82/7.52 (~node20(s331)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32703, 32116, 32700])).
% 9.82/7.52 tff(32705,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s330)) | (~m_main_v_state1(s330, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s330)) | (~m_main_v_state1(s330, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32706,plain,
% 9.82/7.52 (((~m_main_v_state1(s330, c_c1)) | (~always19(s330))) <=> ((~always19(s330)) | (~m_main_v_state1(s330, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32707,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s330, c_c1)) | (~always19(s330)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s330)) | (~m_main_v_state1(s330, c_c1))))),
% 9.82/7.52 inference(monotonicity,[status(thm)],[32706])).
% 9.82/7.52 tff(32708,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s330, c_c1)) | (~always19(s330)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s330)) | (~m_main_v_state1(s330, c_c1)))),
% 9.82/7.52 inference(transitivity,[status(thm)],[32707, 32705])).
% 9.82/7.52 tff(32709,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s330, c_c1)) | (~always19(s330)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32710,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s330)) | (~m_main_v_state1(s330, c_c1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 9.82/7.52 tff(32711,plain,
% 9.82/7.52 (~always19(s330)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32710, 28559, 26407])).
% 9.82/7.52 tff(32712,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s329, s330)) | (~always19(s329)) | always19(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s329, s330)) | (~always19(s329)) | always19(s330))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32713,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s329, s330)) | (~always19(s329)) | always19(s330))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32714,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s329, s330)) | (~always19(s329)) | always19(s330)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32713, 32712])).
% 9.82/7.52 tff(32715,plain,
% 9.82/7.52 ((~always19(s329)) | always19(s330)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32714, 28576, 26323])).
% 9.82/7.52 tff(32716,plain,
% 9.82/7.52 (~always19(s329)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32715, 32711])).
% 9.82/7.52 tff(32717,plain,
% 9.82/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s329) | (~node20(s329)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s329) | (~node20(s329)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32718,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s329) | (~node20(s329)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32719,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s329) | (~node20(s329))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32718, 32717])).
% 9.82/7.52 tff(32720,plain,
% 9.82/7.52 (~node20(s329)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32719, 32139, 32716])).
% 9.82/7.52 tff(32721,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s328, s329)) | (~always19(s328)) | always19(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s328, s329)) | (~always19(s328)) | always19(s329))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32722,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s328, s329)) | (~always19(s328)) | always19(s329))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32723,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s328, s329)) | (~always19(s328)) | always19(s329)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 9.82/7.52 tff(32724,plain,
% 9.82/7.52 ((~always19(s328)) | always19(s329)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32723, 28576, 26256])).
% 9.82/7.52 tff(32725,plain,
% 9.82/7.52 (~always19(s328)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32724, 32716])).
% 9.82/7.52 tff(32726,plain,
% 9.82/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s328) | (~node20(s328)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s328) | (~node20(s328)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32727,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s328) | (~node20(s328)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32728,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s328) | (~node20(s328))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32727, 32726])).
% 9.82/7.52 tff(32729,plain,
% 9.82/7.52 (~node20(s328)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32728, 32139, 32725])).
% 9.82/7.52 tff(32730,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state1(s327, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state1(s327, c_t1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32731,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s327, c_n1)) | (~m_main_v_state1(s327, c_t1)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32732,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s327, c_n1)) | (~m_main_v_state1(s327, c_t1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32731, 32730])).
% 9.82/7.52 tff(32733,plain,
% 9.82/7.52 (~m_main_v_state1(s327, c_t1)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32732, 10, 26104])).
% 9.82/7.52 tff(32734,plain,
% 9.82/7.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s327, c_t1) | (~node20(s327)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s327, c_t1) | (~node20(s327)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32735,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s327, c_t1) | (~node20(s327)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32736,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s327, c_t1) | (~node20(s327))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 9.82/7.52 tff(32737,plain,
% 9.82/7.52 (~node20(s327)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32736, 32116, 32733])).
% 9.82/7.52 tff(32738,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s326)) | (~m_main_v_state1(s326, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s326)) | (~m_main_v_state1(s326, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32739,plain,
% 9.82/7.52 (((~m_main_v_state1(s326, c_c1)) | (~always19(s326))) <=> ((~always19(s326)) | (~m_main_v_state1(s326, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32740,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s326, c_c1)) | (~always19(s326)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s326)) | (~m_main_v_state1(s326, c_c1))))),
% 9.82/7.52 inference(monotonicity,[status(thm)],[32739])).
% 9.82/7.52 tff(32741,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s326, c_c1)) | (~always19(s326)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s326)) | (~m_main_v_state1(s326, c_c1)))),
% 9.82/7.52 inference(transitivity,[status(thm)],[32740, 32738])).
% 9.82/7.52 tff(32742,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s326, c_c1)) | (~always19(s326)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32743,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s326)) | (~m_main_v_state1(s326, c_c1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32742, 32741])).
% 9.82/7.52 tff(32744,plain,
% 9.82/7.52 (~always19(s326)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32743, 28559, 26040])).
% 9.82/7.52 tff(32745,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s325, s326)) | (~always19(s325)) | always19(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s325, s326)) | (~always19(s325)) | always19(s326))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32746,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s325, s326)) | (~always19(s325)) | always19(s326))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32747,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s325, s326)) | (~always19(s325)) | always19(s326)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32746, 32745])).
% 9.82/7.52 tff(32748,plain,
% 9.82/7.52 ((~always19(s325)) | always19(s326)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32747, 28576, 26028])).
% 9.82/7.52 tff(32749,plain,
% 9.82/7.52 (~always19(s325)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32748, 32744])).
% 9.82/7.52 tff(32750,plain,
% 9.82/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s325) | (~node20(s325)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s325) | (~node20(s325)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32751,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s325) | (~node20(s325)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32752,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s325) | (~node20(s325))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32751, 32750])).
% 9.82/7.52 tff(32753,plain,
% 9.82/7.52 (~node20(s325)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32752, 32139, 32749])).
% 9.82/7.52 tff(32754,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s324, s325)) | (~always19(s324)) | always19(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s324, s325)) | (~always19(s324)) | always19(s325))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32755,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s324, s325)) | (~always19(s324)) | always19(s325))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32756,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s324, s325)) | (~always19(s324)) | always19(s325)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32755, 32754])).
% 9.82/7.52 tff(32757,plain,
% 9.82/7.52 ((~always19(s324)) | always19(s325)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32756, 28576, 25933])).
% 9.82/7.52 tff(32758,plain,
% 9.82/7.52 (~always19(s324)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32757, 32749])).
% 9.82/7.52 tff(32759,plain,
% 9.82/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s324) | (~node20(s324)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s324) | (~node20(s324)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32760,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s324) | (~node20(s324)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32761,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s324) | (~node20(s324))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32760, 32759])).
% 9.82/7.52 tff(32762,plain,
% 9.82/7.52 (~node20(s324)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32761, 32139, 32758])).
% 9.82/7.52 tff(32763,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state1(s323, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state1(s323, c_t1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32764,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s323, c_n1)) | (~m_main_v_state1(s323, c_t1)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32765,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s323, c_n1)) | (~m_main_v_state1(s323, c_t1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 9.82/7.52 tff(32766,plain,
% 9.82/7.52 (~m_main_v_state1(s323, c_t1)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32765, 10, 25861])).
% 9.82/7.52 tff(32767,plain,
% 9.82/7.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s323, c_t1) | (~node20(s323)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s323, c_t1) | (~node20(s323)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32768,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s323, c_t1) | (~node20(s323)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32769,plain,
% 9.82/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s323, c_t1) | (~node20(s323))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 9.82/7.52 tff(32770,plain,
% 9.82/7.52 (~node20(s323)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32769, 32116, 32766])).
% 9.82/7.52 tff(32771,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s322)) | (~m_main_v_state1(s322, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s322)) | (~m_main_v_state1(s322, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32772,plain,
% 9.82/7.52 (((~m_main_v_state1(s322, c_c1)) | (~always19(s322))) <=> ((~always19(s322)) | (~m_main_v_state1(s322, c_c1)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32773,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s322, c_c1)) | (~always19(s322)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s322)) | (~m_main_v_state1(s322, c_c1))))),
% 9.82/7.52 inference(monotonicity,[status(thm)],[32772])).
% 9.82/7.52 tff(32774,plain,
% 9.82/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s322, c_c1)) | (~always19(s322)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s322)) | (~m_main_v_state1(s322, c_c1)))),
% 9.82/7.52 inference(transitivity,[status(thm)],[32773, 32771])).
% 9.82/7.52 tff(32775,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s322, c_c1)) | (~always19(s322)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32776,plain,
% 9.82/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s322)) | (~m_main_v_state1(s322, c_c1))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 9.82/7.52 tff(32777,plain,
% 9.82/7.52 (~always19(s322)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32776, 28559, 25779])).
% 9.82/7.52 tff(32778,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s321, s322)) | (~always19(s321)) | always19(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s321, s322)) | (~always19(s321)) | always19(s322))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32779,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s321, s322)) | (~always19(s321)) | always19(s322))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32780,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s321, s322)) | (~always19(s321)) | always19(s322)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 9.82/7.52 tff(32781,plain,
% 9.82/7.52 ((~always19(s321)) | always19(s322)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32780, 28576, 25695])).
% 9.82/7.52 tff(32782,plain,
% 9.82/7.52 (~always19(s321)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32781, 32777])).
% 9.82/7.52 tff(32783,plain,
% 9.82/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s321) | (~node20(s321)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s321) | (~node20(s321)))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32784,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s321) | (~node20(s321)))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32785,plain,
% 9.82/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s321) | (~node20(s321))),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 9.82/7.52 tff(32786,plain,
% 9.82/7.52 (~node20(s321)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32785, 32139, 32782])).
% 9.82/7.52 tff(32787,plain,
% 9.82/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s320, s321)) | (~always19(s320)) | always19(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s320, s321)) | (~always19(s320)) | always19(s321))),
% 9.82/7.52 inference(rewrite,[status(thm)],[])).
% 9.82/7.52 tff(32788,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s320, s321)) | (~always19(s320)) | always19(s321))),
% 9.82/7.52 inference(quant_inst,[status(thm)],[])).
% 9.82/7.52 tff(32789,plain,
% 9.82/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s320, s321)) | (~always19(s320)) | always19(s321)),
% 9.82/7.52 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 9.82/7.52 tff(32790,plain,
% 9.82/7.52 ((~always19(s320)) | always19(s321)),
% 9.82/7.52 inference(unit_resolution,[status(thm)],[32789, 28576, 25628])).
% 9.89/7.52 tff(32791,plain,
% 9.89/7.52 (~always19(s320)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32790, 32782])).
% 9.89/7.52 tff(32792,plain,
% 9.89/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s320) | (~node20(s320)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s320) | (~node20(s320)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32793,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s320) | (~node20(s320)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32794,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s320) | (~node20(s320))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32793, 32792])).
% 9.89/7.52 tff(32795,plain,
% 9.89/7.52 (~node20(s320)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32794, 32139, 32791])).
% 9.89/7.52 tff(32796,plain,
% 9.89/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state1(s319, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state1(s319, c_t1)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32797,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s319, c_n1)) | (~m_main_v_state1(s319, c_t1)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32798,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s319, c_n1)) | (~m_main_v_state1(s319, c_t1))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 9.89/7.52 tff(32799,plain,
% 9.89/7.52 (~m_main_v_state1(s319, c_t1)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32798, 10, 25476])).
% 9.89/7.52 tff(32800,plain,
% 9.89/7.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s319, c_t1) | (~node20(s319)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s319, c_t1) | (~node20(s319)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32801,plain,
% 9.89/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s319, c_t1) | (~node20(s319)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32802,plain,
% 9.89/7.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s319, c_t1) | (~node20(s319))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 9.89/7.52 tff(32803,plain,
% 9.89/7.52 (~node20(s319)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32802, 32116, 32799])).
% 9.89/7.52 tff(32804,plain,
% 9.89/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s318)) | (~m_main_v_state1(s318, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s318)) | (~m_main_v_state1(s318, c_c1)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32805,plain,
% 9.89/7.52 (((~m_main_v_state1(s318, c_c1)) | (~always19(s318))) <=> ((~always19(s318)) | (~m_main_v_state1(s318, c_c1)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32806,plain,
% 9.89/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s318, c_c1)) | (~always19(s318)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s318)) | (~m_main_v_state1(s318, c_c1))))),
% 9.89/7.52 inference(monotonicity,[status(thm)],[32805])).
% 9.89/7.52 tff(32807,plain,
% 9.89/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s318, c_c1)) | (~always19(s318)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s318)) | (~m_main_v_state1(s318, c_c1)))),
% 9.89/7.52 inference(transitivity,[status(thm)],[32806, 32804])).
% 9.89/7.52 tff(32808,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s318, c_c1)) | (~always19(s318)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32809,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s318)) | (~m_main_v_state1(s318, c_c1))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32808, 32807])).
% 9.89/7.52 tff(32810,plain,
% 9.89/7.52 (~always19(s318)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32809, 28559, 25412])).
% 9.89/7.52 tff(32811,plain,
% 9.89/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s317, s318)) | (~always19(s317)) | always19(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s317, s318)) | (~always19(s317)) | always19(s318))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32812,plain,
% 9.89/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s317, s318)) | (~always19(s317)) | always19(s318))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32813,plain,
% 9.89/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s317, s318)) | (~always19(s317)) | always19(s318)),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32812, 32811])).
% 9.89/7.52 tff(32814,plain,
% 9.89/7.52 ((~always19(s317)) | always19(s318)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32813, 28576, 25400])).
% 9.89/7.52 tff(32815,plain,
% 9.89/7.52 (~always19(s317)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32814, 32810])).
% 9.89/7.52 tff(32816,plain,
% 9.89/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s317) | (~node20(s317)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s317) | (~node20(s317)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32817,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s317) | (~node20(s317)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32818,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s317) | (~node20(s317))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32817, 32816])).
% 9.89/7.52 tff(32819,plain,
% 9.89/7.52 (~node20(s317)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32818, 32139, 32815])).
% 9.89/7.52 tff(32820,plain,
% 9.89/7.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s316, s317)) | (~always19(s316)) | always19(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s316, s317)) | (~always19(s316)) | always19(s317))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32821,plain,
% 9.89/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s316, s317)) | (~always19(s316)) | always19(s317))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32822,plain,
% 9.89/7.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s316, s317)) | (~always19(s316)) | always19(s317)),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32821, 32820])).
% 9.89/7.52 tff(32823,plain,
% 9.89/7.52 ((~always19(s316)) | always19(s317)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32822, 28576, 25305])).
% 9.89/7.52 tff(32824,plain,
% 9.89/7.52 (~always19(s316)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32823, 32815])).
% 9.89/7.52 tff(32825,plain,
% 9.89/7.52 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s316) | (~node20(s316)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s316) | (~node20(s316)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32826,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s316) | (~node20(s316)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32827,plain,
% 9.89/7.52 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s316) | (~node20(s316))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32826, 32825])).
% 9.89/7.52 tff(32828,plain,
% 9.89/7.52 (~node20(s316)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32827, 32139, 32824])).
% 9.89/7.52 tff(32829,plain,
% 9.89/7.52 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state1(s315, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state1(s315, c_t1)))),
% 9.89/7.52 inference(rewrite,[status(thm)],[])).
% 9.89/7.52 tff(32830,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s315, c_n1)) | (~m_main_v_state1(s315, c_t1)))),
% 9.89/7.52 inference(quant_inst,[status(thm)],[])).
% 9.89/7.52 tff(32831,plain,
% 9.89/7.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s315, c_n1)) | (~m_main_v_state1(s315, c_t1))),
% 9.89/7.52 inference(modus_ponens,[status(thm)],[32830, 32829])).
% 9.89/7.52 tff(32832,plain,
% 9.89/7.52 (~m_main_v_state1(s315, c_t1)),
% 9.89/7.52 inference(unit_resolution,[status(thm)],[32831, 10, 25233])).
% 9.89/7.53 tff(32833,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s315, c_t1) | (~node20(s315)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s315, c_t1) | (~node20(s315)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32834,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s315, c_t1) | (~node20(s315)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32835,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s315, c_t1) | (~node20(s315))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32834, 32833])).
% 9.89/7.53 tff(32836,plain,
% 9.89/7.53 (~node20(s315)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32835, 32116, 32832])).
% 9.89/7.53 tff(32837,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s314)) | (~m_main_v_state1(s314, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s314)) | (~m_main_v_state1(s314, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32838,plain,
% 9.89/7.53 (((~m_main_v_state1(s314, c_c1)) | (~always19(s314))) <=> ((~always19(s314)) | (~m_main_v_state1(s314, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32839,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s314, c_c1)) | (~always19(s314)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s314)) | (~m_main_v_state1(s314, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[32838])).
% 9.89/7.53 tff(32840,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s314, c_c1)) | (~always19(s314)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s314)) | (~m_main_v_state1(s314, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[32839, 32837])).
% 9.89/7.53 tff(32841,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s314, c_c1)) | (~always19(s314)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32842,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s314)) | (~m_main_v_state1(s314, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 9.89/7.53 tff(32843,plain,
% 9.89/7.53 (~always19(s314)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32842, 28559, 25151])).
% 9.89/7.53 tff(32844,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s313, s314)) | (~always19(s313)) | always19(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s313, s314)) | (~always19(s313)) | always19(s314))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32845,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s313, s314)) | (~always19(s313)) | always19(s314))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32846,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s313, s314)) | (~always19(s313)) | always19(s314)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 9.89/7.53 tff(32847,plain,
% 9.89/7.53 ((~always19(s313)) | always19(s314)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32846, 28576, 25067])).
% 9.89/7.53 tff(32848,plain,
% 9.89/7.53 (~always19(s313)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32847, 32843])).
% 9.89/7.53 tff(32849,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s313) | (~node20(s313)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s313) | (~node20(s313)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32850,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s313) | (~node20(s313)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32851,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s313) | (~node20(s313))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32850, 32849])).
% 9.89/7.53 tff(32852,plain,
% 9.89/7.53 (~node20(s313)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32851, 32139, 32848])).
% 9.89/7.53 tff(32853,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s312, s313)) | (~always19(s312)) | always19(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s312, s313)) | (~always19(s312)) | always19(s313))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32854,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s312, s313)) | (~always19(s312)) | always19(s313))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32855,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s312, s313)) | (~always19(s312)) | always19(s313)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32854, 32853])).
% 9.89/7.53 tff(32856,plain,
% 9.89/7.53 ((~always19(s312)) | always19(s313)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32855, 28576, 25000])).
% 9.89/7.53 tff(32857,plain,
% 9.89/7.53 (~always19(s312)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32856, 32848])).
% 9.89/7.53 tff(32858,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s312) | (~node20(s312)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s312) | (~node20(s312)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32859,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s312) | (~node20(s312)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32860,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s312) | (~node20(s312))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32859, 32858])).
% 9.89/7.53 tff(32861,plain,
% 9.89/7.53 (~node20(s312)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32860, 32139, 32857])).
% 9.89/7.53 tff(32862,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state1(s311, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state1(s311, c_t1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32863,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s311, c_n1)) | (~m_main_v_state1(s311, c_t1)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32864,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s311, c_n1)) | (~m_main_v_state1(s311, c_t1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32863, 32862])).
% 9.89/7.53 tff(32865,plain,
% 9.89/7.53 (~m_main_v_state1(s311, c_t1)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32864, 10, 24848])).
% 9.89/7.53 tff(32866,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s311, c_t1) | (~node20(s311)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s311, c_t1) | (~node20(s311)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32867,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s311, c_t1) | (~node20(s311)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32868,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s311, c_t1) | (~node20(s311))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32867, 32866])).
% 9.89/7.53 tff(32869,plain,
% 9.89/7.53 (~node20(s311)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32868, 32116, 32865])).
% 9.89/7.53 tff(32870,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s310)) | (~m_main_v_state1(s310, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s310)) | (~m_main_v_state1(s310, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32871,plain,
% 9.89/7.53 (((~m_main_v_state1(s310, c_c1)) | (~always19(s310))) <=> ((~always19(s310)) | (~m_main_v_state1(s310, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32872,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s310, c_c1)) | (~always19(s310)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s310)) | (~m_main_v_state1(s310, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[32871])).
% 9.89/7.53 tff(32873,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s310, c_c1)) | (~always19(s310)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s310)) | (~m_main_v_state1(s310, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[32872, 32870])).
% 9.89/7.53 tff(32874,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s310, c_c1)) | (~always19(s310)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32875,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s310)) | (~m_main_v_state1(s310, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 9.89/7.53 tff(32876,plain,
% 9.89/7.53 (~always19(s310)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32875, 28559, 24784])).
% 9.89/7.53 tff(32877,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s309, s310)) | (~always19(s309)) | always19(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s309, s310)) | (~always19(s309)) | always19(s310))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32878,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s309, s310)) | (~always19(s309)) | always19(s310))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32879,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s309, s310)) | (~always19(s309)) | always19(s310)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 9.89/7.53 tff(32880,plain,
% 9.89/7.53 ((~always19(s309)) | always19(s310)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32879, 28576, 24772])).
% 9.89/7.53 tff(32881,plain,
% 9.89/7.53 (~always19(s309)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32880, 32876])).
% 9.89/7.53 tff(32882,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s309) | (~node20(s309)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s309) | (~node20(s309)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32883,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s309) | (~node20(s309)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32884,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s309) | (~node20(s309))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 9.89/7.53 tff(32885,plain,
% 9.89/7.53 (~node20(s309)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32884, 32139, 32881])).
% 9.89/7.53 tff(32886,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s308, s309)) | (~always19(s308)) | always19(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s308, s309)) | (~always19(s308)) | always19(s309))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32887,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s308, s309)) | (~always19(s308)) | always19(s309))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32888,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s308, s309)) | (~always19(s308)) | always19(s309)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 9.89/7.53 tff(32889,plain,
% 9.89/7.53 ((~always19(s308)) | always19(s309)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32888, 28576, 24677])).
% 9.89/7.53 tff(32890,plain,
% 9.89/7.53 (~always19(s308)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32889, 32881])).
% 9.89/7.53 tff(32891,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s308) | (~node20(s308)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s308) | (~node20(s308)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32892,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s308) | (~node20(s308)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32893,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s308) | (~node20(s308))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32892, 32891])).
% 9.89/7.53 tff(32894,plain,
% 9.89/7.53 (~node20(s308)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32893, 32139, 32890])).
% 9.89/7.53 tff(32895,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state1(s307, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state1(s307, c_t1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32896,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s307, c_n1)) | (~m_main_v_state1(s307, c_t1)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32897,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s307, c_n1)) | (~m_main_v_state1(s307, c_t1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 9.89/7.53 tff(32898,plain,
% 9.89/7.53 (~m_main_v_state1(s307, c_t1)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32897, 10, 24605])).
% 9.89/7.53 tff(32899,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s307, c_t1) | (~node20(s307)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s307, c_t1) | (~node20(s307)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32900,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s307, c_t1) | (~node20(s307)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32901,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s307, c_t1) | (~node20(s307))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 9.89/7.53 tff(32902,plain,
% 9.89/7.53 (~node20(s307)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32901, 32116, 32898])).
% 9.89/7.53 tff(32903,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s306)) | (~m_main_v_state1(s306, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s306)) | (~m_main_v_state1(s306, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32904,plain,
% 9.89/7.53 (((~m_main_v_state1(s306, c_c1)) | (~always19(s306))) <=> ((~always19(s306)) | (~m_main_v_state1(s306, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32905,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s306, c_c1)) | (~always19(s306)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s306)) | (~m_main_v_state1(s306, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[32904])).
% 9.89/7.53 tff(32906,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s306, c_c1)) | (~always19(s306)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s306)) | (~m_main_v_state1(s306, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[32905, 32903])).
% 9.89/7.53 tff(32907,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s306, c_c1)) | (~always19(s306)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32908,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s306)) | (~m_main_v_state1(s306, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 9.89/7.53 tff(32909,plain,
% 9.89/7.53 (~always19(s306)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32908, 28559, 24523])).
% 9.89/7.53 tff(32910,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s305, s306)) | (~always19(s305)) | always19(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s305, s306)) | (~always19(s305)) | always19(s306))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32911,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s305, s306)) | (~always19(s305)) | always19(s306))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32912,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s305, s306)) | (~always19(s305)) | always19(s306)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 9.89/7.53 tff(32913,plain,
% 9.89/7.53 ((~always19(s305)) | always19(s306)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32912, 28576, 24439])).
% 9.89/7.53 tff(32914,plain,
% 9.89/7.53 (~always19(s305)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32913, 32909])).
% 9.89/7.53 tff(32915,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s305) | (~node20(s305)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s305) | (~node20(s305)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32916,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s305) | (~node20(s305)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32917,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s305) | (~node20(s305))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 9.89/7.53 tff(32918,plain,
% 9.89/7.53 (~node20(s305)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32917, 32139, 32914])).
% 9.89/7.53 tff(32919,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s304, s305)) | (~always19(s304)) | always19(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s304, s305)) | (~always19(s304)) | always19(s305))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32920,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s304, s305)) | (~always19(s304)) | always19(s305))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32921,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s304, s305)) | (~always19(s304)) | always19(s305)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32920, 32919])).
% 9.89/7.53 tff(32922,plain,
% 9.89/7.53 ((~always19(s304)) | always19(s305)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32921, 28576, 24372])).
% 9.89/7.53 tff(32923,plain,
% 9.89/7.53 (~always19(s304)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32922, 32914])).
% 9.89/7.53 tff(32924,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s304) | (~node20(s304)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s304) | (~node20(s304)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32925,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s304) | (~node20(s304)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32926,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s304) | (~node20(s304))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 9.89/7.53 tff(32927,plain,
% 9.89/7.53 (~node20(s304)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32926, 32139, 32923])).
% 9.89/7.53 tff(32928,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state1(s303, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state1(s303, c_t1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32929,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s303, c_n1)) | (~m_main_v_state1(s303, c_t1)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32930,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s303, c_n1)) | (~m_main_v_state1(s303, c_t1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32929, 32928])).
% 9.89/7.53 tff(32931,plain,
% 9.89/7.53 (~m_main_v_state1(s303, c_t1)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32930, 10, 24220])).
% 9.89/7.53 tff(32932,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s303, c_t1) | (~node20(s303)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s303, c_t1) | (~node20(s303)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32933,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s303, c_t1) | (~node20(s303)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32934,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s303, c_t1) | (~node20(s303))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 9.89/7.53 tff(32935,plain,
% 9.89/7.53 (~node20(s303)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32934, 32116, 32931])).
% 9.89/7.53 tff(32936,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s302)) | (~m_main_v_state1(s302, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s302)) | (~m_main_v_state1(s302, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32937,plain,
% 9.89/7.53 (((~m_main_v_state1(s302, c_c1)) | (~always19(s302))) <=> ((~always19(s302)) | (~m_main_v_state1(s302, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32938,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s302, c_c1)) | (~always19(s302)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s302)) | (~m_main_v_state1(s302, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[32937])).
% 9.89/7.53 tff(32939,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s302, c_c1)) | (~always19(s302)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s302)) | (~m_main_v_state1(s302, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[32938, 32936])).
% 9.89/7.53 tff(32940,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s302, c_c1)) | (~always19(s302)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32941,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s302)) | (~m_main_v_state1(s302, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 9.89/7.53 tff(32942,plain,
% 9.89/7.53 (~always19(s302)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32941, 28559, 24156])).
% 9.89/7.53 tff(32943,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s301, s302)) | (~always19(s301)) | always19(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s301, s302)) | (~always19(s301)) | always19(s302))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32944,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s301, s302)) | (~always19(s301)) | always19(s302))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32945,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s301, s302)) | (~always19(s301)) | always19(s302)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32944, 32943])).
% 9.89/7.53 tff(32946,plain,
% 9.89/7.53 ((~always19(s301)) | always19(s302)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32945, 28576, 24144])).
% 9.89/7.53 tff(32947,plain,
% 9.89/7.53 (~always19(s301)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32946, 32942])).
% 9.89/7.53 tff(32948,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s301) | (~node20(s301)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s301) | (~node20(s301)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32949,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s301) | (~node20(s301)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32950,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s301) | (~node20(s301))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32949, 32948])).
% 9.89/7.53 tff(32951,plain,
% 9.89/7.53 (~node20(s301)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32950, 32139, 32947])).
% 9.89/7.53 tff(32952,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s300, s301)) | (~always19(s300)) | always19(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s300, s301)) | (~always19(s300)) | always19(s301))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32953,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s300, s301)) | (~always19(s300)) | always19(s301))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32954,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s300, s301)) | (~always19(s300)) | always19(s301)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 9.89/7.53 tff(32955,plain,
% 9.89/7.53 ((~always19(s300)) | always19(s301)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32954, 28576, 24049])).
% 9.89/7.53 tff(32956,plain,
% 9.89/7.53 (~always19(s300)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32955, 32947])).
% 9.89/7.53 tff(32957,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s300) | (~node20(s300)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s300) | (~node20(s300)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32958,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s300) | (~node20(s300)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32959,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s300) | (~node20(s300))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32958, 32957])).
% 9.89/7.53 tff(32960,plain,
% 9.89/7.53 (~node20(s300)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32959, 32139, 32956])).
% 9.89/7.53 tff(32961,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state1(s299, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state1(s299, c_t1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32962,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s299, c_n1)) | (~m_main_v_state1(s299, c_t1)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32963,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state1(s299, c_t1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32962, 32961])).
% 9.89/7.53 tff(32964,plain,
% 9.89/7.53 (~m_main_v_state1(s299, c_t1)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32963, 10, 23977])).
% 9.89/7.53 tff(32965,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s299, c_t1) | (~node20(s299)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s299, c_t1) | (~node20(s299)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32966,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s299, c_t1) | (~node20(s299)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32967,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s299, c_t1) | (~node20(s299))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32966, 32965])).
% 9.89/7.53 tff(32968,plain,
% 9.89/7.53 (~node20(s299)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32967, 32116, 32964])).
% 9.89/7.53 tff(32969,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s298)) | (~m_main_v_state1(s298, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s298)) | (~m_main_v_state1(s298, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32970,plain,
% 9.89/7.53 (((~m_main_v_state1(s298, c_c1)) | (~always19(s298))) <=> ((~always19(s298)) | (~m_main_v_state1(s298, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32971,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s298, c_c1)) | (~always19(s298)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s298)) | (~m_main_v_state1(s298, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[32970])).
% 9.89/7.53 tff(32972,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s298, c_c1)) | (~always19(s298)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s298)) | (~m_main_v_state1(s298, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[32971, 32969])).
% 9.89/7.53 tff(32973,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s298, c_c1)) | (~always19(s298)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32974,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s298)) | (~m_main_v_state1(s298, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 9.89/7.53 tff(32975,plain,
% 9.89/7.53 (~always19(s298)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32974, 28559, 23895])).
% 9.89/7.53 tff(32976,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s297, s298)) | (~always19(s297)) | always19(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s297, s298)) | (~always19(s297)) | always19(s298))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32977,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s297, s298)) | (~always19(s297)) | always19(s298))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32978,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s297, s298)) | (~always19(s297)) | always19(s298)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 9.89/7.53 tff(32979,plain,
% 9.89/7.53 ((~always19(s297)) | always19(s298)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32978, 28576, 23811])).
% 9.89/7.53 tff(32980,plain,
% 9.89/7.53 (~always19(s297)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32979, 32975])).
% 9.89/7.53 tff(32981,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s297) | (~node20(s297)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s297) | (~node20(s297)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32982,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s297) | (~node20(s297)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32983,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s297) | (~node20(s297))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32982, 32981])).
% 9.89/7.53 tff(32984,plain,
% 9.89/7.53 (~node20(s297)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32983, 32139, 32980])).
% 9.89/7.53 tff(32985,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s296, s297)) | (~always19(s296)) | always19(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s296, s297)) | (~always19(s296)) | always19(s297))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32986,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s296, s297)) | (~always19(s296)) | always19(s297))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32987,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s296, s297)) | (~always19(s296)) | always19(s297)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 9.89/7.53 tff(32988,plain,
% 9.89/7.53 ((~always19(s296)) | always19(s297)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32987, 28576, 23744])).
% 9.89/7.53 tff(32989,plain,
% 9.89/7.53 (~always19(s296)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32988, 32980])).
% 9.89/7.53 tff(32990,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s296) | (~node20(s296)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s296) | (~node20(s296)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32991,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s296) | (~node20(s296)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32992,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s296) | (~node20(s296))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 9.89/7.53 tff(32993,plain,
% 9.89/7.53 (~node20(s296)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32992, 32139, 32989])).
% 9.89/7.53 tff(32994,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state1(s295, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state1(s295, c_t1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32995,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state1(s295, c_t1)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(32996,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s295, c_n1)) | (~m_main_v_state1(s295, c_t1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 9.89/7.53 tff(32997,plain,
% 9.89/7.53 (~m_main_v_state1(s295, c_t1)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[32996, 10, 23592])).
% 9.89/7.53 tff(32998,plain,
% 9.89/7.53 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s295, c_t1) | (~node20(s295)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s295, c_t1) | (~node20(s295)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(32999,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s295, c_t1) | (~node20(s295)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(33000,plain,
% 9.89/7.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s295, c_t1) | (~node20(s295))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 9.89/7.53 tff(33001,plain,
% 9.89/7.53 (~node20(s295)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[33000, 32116, 32997])).
% 9.89/7.53 tff(33002,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s294)) | (~m_main_v_state1(s294, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s294)) | (~m_main_v_state1(s294, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(33003,plain,
% 9.89/7.53 (((~m_main_v_state1(s294, c_c1)) | (~always19(s294))) <=> ((~always19(s294)) | (~m_main_v_state1(s294, c_c1)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(33004,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s294, c_c1)) | (~always19(s294)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s294)) | (~m_main_v_state1(s294, c_c1))))),
% 9.89/7.53 inference(monotonicity,[status(thm)],[33003])).
% 9.89/7.53 tff(33005,plain,
% 9.89/7.53 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s294, c_c1)) | (~always19(s294)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s294)) | (~m_main_v_state1(s294, c_c1)))),
% 9.89/7.53 inference(transitivity,[status(thm)],[33004, 33002])).
% 9.89/7.53 tff(33006,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s294, c_c1)) | (~always19(s294)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(33007,plain,
% 9.89/7.53 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s294)) | (~m_main_v_state1(s294, c_c1))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[33006, 33005])).
% 9.89/7.53 tff(33008,plain,
% 9.89/7.53 (~always19(s294)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[33007, 28559, 23528])).
% 9.89/7.53 tff(33009,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s293, s294)) | (~always19(s293)) | always19(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s293, s294)) | (~always19(s293)) | always19(s294))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(33010,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s293, s294)) | (~always19(s293)) | always19(s294))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(33011,plain,
% 9.89/7.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s293, s294)) | (~always19(s293)) | always19(s294)),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[33010, 33009])).
% 9.89/7.53 tff(33012,plain,
% 9.89/7.53 ((~always19(s293)) | always19(s294)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[33011, 28576, 23516])).
% 9.89/7.53 tff(33013,plain,
% 9.89/7.53 (~always19(s293)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[33012, 33008])).
% 9.89/7.53 tff(33014,plain,
% 9.89/7.53 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s293) | (~node20(s293)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s293) | (~node20(s293)))),
% 9.89/7.53 inference(rewrite,[status(thm)],[])).
% 9.89/7.53 tff(33015,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s293) | (~node20(s293)))),
% 9.89/7.53 inference(quant_inst,[status(thm)],[])).
% 9.89/7.53 tff(33016,plain,
% 9.89/7.53 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s293) | (~node20(s293))),
% 9.89/7.53 inference(modus_ponens,[status(thm)],[33015, 33014])).
% 9.89/7.53 tff(33017,plain,
% 9.89/7.53 (~node20(s293)),
% 9.89/7.53 inference(unit_resolution,[status(thm)],[33016, 32139, 33013])).
% 9.89/7.53 tff(33018,plain,
% 9.89/7.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s292, s293)) | (~always19(s292)) | always19(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s292, s293)) | (~always19(s292)) | always19(s293))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33019,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s292, s293)) | (~always19(s292)) | always19(s293))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33020,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s292, s293)) | (~always19(s292)) | always19(s293)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 9.89/7.54 tff(33021,plain,
% 9.89/7.54 ((~always19(s292)) | always19(s293)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33020, 28576, 23421])).
% 9.89/7.54 tff(33022,plain,
% 9.89/7.54 (~always19(s292)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33021, 33013])).
% 9.89/7.54 tff(33023,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s292) | (~node20(s292)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s292) | (~node20(s292)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33024,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s292) | (~node20(s292)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33025,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s292) | (~node20(s292))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33024, 33023])).
% 9.89/7.54 tff(33026,plain,
% 9.89/7.54 (~node20(s292)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33025, 32139, 33022])).
% 9.89/7.54 tff(33027,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state1(s291, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state1(s291, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33028,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state1(s291, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33029,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s291, c_n1)) | (~m_main_v_state1(s291, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33028, 33027])).
% 9.89/7.54 tff(33030,plain,
% 9.89/7.54 (~m_main_v_state1(s291, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33029, 10, 23349])).
% 9.89/7.54 tff(33031,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s291, c_t1) | (~node20(s291)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s291, c_t1) | (~node20(s291)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33032,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s291, c_t1) | (~node20(s291)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33033,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s291, c_t1) | (~node20(s291))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 9.89/7.54 tff(33034,plain,
% 9.89/7.54 (~node20(s291)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33033, 32116, 33030])).
% 9.89/7.54 tff(33035,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s290)) | (~m_main_v_state1(s290, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s290)) | (~m_main_v_state1(s290, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33036,plain,
% 9.89/7.54 (((~m_main_v_state1(s290, c_c1)) | (~always19(s290))) <=> ((~always19(s290)) | (~m_main_v_state1(s290, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33037,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s290, c_c1)) | (~always19(s290)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s290)) | (~m_main_v_state1(s290, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33036])).
% 9.89/7.54 tff(33038,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s290, c_c1)) | (~always19(s290)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s290)) | (~m_main_v_state1(s290, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33037, 33035])).
% 9.89/7.54 tff(33039,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s290, c_c1)) | (~always19(s290)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33040,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s290)) | (~m_main_v_state1(s290, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 9.89/7.54 tff(33041,plain,
% 9.89/7.54 (~always19(s290)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33040, 28559, 23267])).
% 9.89/7.54 tff(33042,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s289, s290)) | (~always19(s289)) | always19(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s289, s290)) | (~always19(s289)) | always19(s290))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33043,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s289, s290)) | (~always19(s289)) | always19(s290))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33044,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s289, s290)) | (~always19(s289)) | always19(s290)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 9.89/7.54 tff(33045,plain,
% 9.89/7.54 ((~always19(s289)) | always19(s290)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33044, 28576, 23183])).
% 9.89/7.54 tff(33046,plain,
% 9.89/7.54 (~always19(s289)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33045, 33041])).
% 9.89/7.54 tff(33047,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s289) | (~node20(s289)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s289) | (~node20(s289)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33048,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s289) | (~node20(s289)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33049,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s289) | (~node20(s289))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33048, 33047])).
% 9.89/7.54 tff(33050,plain,
% 9.89/7.54 (~node20(s289)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33049, 32139, 33046])).
% 9.89/7.54 tff(33051,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s288, s289)) | (~always19(s288)) | always19(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s288, s289)) | (~always19(s288)) | always19(s289))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33052,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s288, s289)) | (~always19(s288)) | always19(s289))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33053,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s288, s289)) | (~always19(s288)) | always19(s289)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33052, 33051])).
% 9.89/7.54 tff(33054,plain,
% 9.89/7.54 ((~always19(s288)) | always19(s289)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33053, 28576, 23116])).
% 9.89/7.54 tff(33055,plain,
% 9.89/7.54 (~always19(s288)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33054, 33046])).
% 9.89/7.54 tff(33056,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s288) | (~node20(s288)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s288) | (~node20(s288)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33057,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s288) | (~node20(s288)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33058,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s288) | (~node20(s288))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33057, 33056])).
% 9.89/7.54 tff(33059,plain,
% 9.89/7.54 (~node20(s288)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33058, 32139, 33055])).
% 9.89/7.54 tff(33060,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state1(s287, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state1(s287, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33061,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state1(s287, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33062,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s287, c_n1)) | (~m_main_v_state1(s287, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33061, 33060])).
% 9.89/7.54 tff(33063,plain,
% 9.89/7.54 (~m_main_v_state1(s287, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33062, 10, 22964])).
% 9.89/7.54 tff(33064,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s287, c_t1) | (~node20(s287)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s287, c_t1) | (~node20(s287)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33065,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s287, c_t1) | (~node20(s287)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33066,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s287, c_t1) | (~node20(s287))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33065, 33064])).
% 9.89/7.54 tff(33067,plain,
% 9.89/7.54 (~node20(s287)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33066, 32116, 33063])).
% 9.89/7.54 tff(33068,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s286)) | (~m_main_v_state1(s286, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s286)) | (~m_main_v_state1(s286, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33069,plain,
% 9.89/7.54 (((~m_main_v_state1(s286, c_c1)) | (~always19(s286))) <=> ((~always19(s286)) | (~m_main_v_state1(s286, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33070,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s286, c_c1)) | (~always19(s286)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s286)) | (~m_main_v_state1(s286, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33069])).
% 9.89/7.54 tff(33071,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s286, c_c1)) | (~always19(s286)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s286)) | (~m_main_v_state1(s286, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33070, 33068])).
% 9.89/7.54 tff(33072,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s286, c_c1)) | (~always19(s286)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33073,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s286)) | (~m_main_v_state1(s286, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33072, 33071])).
% 9.89/7.54 tff(33074,plain,
% 9.89/7.54 (~always19(s286)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33073, 28559, 22900])).
% 9.89/7.54 tff(33075,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s285, s286)) | (~always19(s285)) | always19(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s285, s286)) | (~always19(s285)) | always19(s286))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33076,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s285, s286)) | (~always19(s285)) | always19(s286))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33077,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s285, s286)) | (~always19(s285)) | always19(s286)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 9.89/7.54 tff(33078,plain,
% 9.89/7.54 ((~always19(s285)) | always19(s286)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33077, 28576, 22888])).
% 9.89/7.54 tff(33079,plain,
% 9.89/7.54 (~always19(s285)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33078, 33074])).
% 9.89/7.54 tff(33080,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s285) | (~node20(s285)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s285) | (~node20(s285)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33081,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s285) | (~node20(s285)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33082,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s285) | (~node20(s285))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33081, 33080])).
% 9.89/7.54 tff(33083,plain,
% 9.89/7.54 (~node20(s285)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33082, 32139, 33079])).
% 9.89/7.54 tff(33084,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s284, s285)) | (~always19(s284)) | always19(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s284, s285)) | (~always19(s284)) | always19(s285))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33085,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s284, s285)) | (~always19(s284)) | always19(s285))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33086,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s284, s285)) | (~always19(s284)) | always19(s285)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 9.89/7.54 tff(33087,plain,
% 9.89/7.54 ((~always19(s284)) | always19(s285)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33086, 28576, 22793])).
% 9.89/7.54 tff(33088,plain,
% 9.89/7.54 (~always19(s284)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33087, 33079])).
% 9.89/7.54 tff(33089,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s284) | (~node20(s284)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s284) | (~node20(s284)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33090,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s284) | (~node20(s284)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33091,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s284) | (~node20(s284))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33090, 33089])).
% 9.89/7.54 tff(33092,plain,
% 9.89/7.54 (~node20(s284)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33091, 32139, 33088])).
% 9.89/7.54 tff(33093,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state1(s283, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state1(s283, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33094,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state1(s283, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33095,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s283, c_n1)) | (~m_main_v_state1(s283, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 9.89/7.54 tff(33096,plain,
% 9.89/7.54 (~m_main_v_state1(s283, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33095, 10, 22721])).
% 9.89/7.54 tff(33097,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s283, c_t1) | (~node20(s283)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s283, c_t1) | (~node20(s283)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33098,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s283, c_t1) | (~node20(s283)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33099,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s283, c_t1) | (~node20(s283))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 9.89/7.54 tff(33100,plain,
% 9.89/7.54 (~node20(s283)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33099, 32116, 33096])).
% 9.89/7.54 tff(33101,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s282)) | (~m_main_v_state1(s282, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s282)) | (~m_main_v_state1(s282, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33102,plain,
% 9.89/7.54 (((~m_main_v_state1(s282, c_c1)) | (~always19(s282))) <=> ((~always19(s282)) | (~m_main_v_state1(s282, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33103,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s282, c_c1)) | (~always19(s282)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s282)) | (~m_main_v_state1(s282, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33102])).
% 9.89/7.54 tff(33104,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s282, c_c1)) | (~always19(s282)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s282)) | (~m_main_v_state1(s282, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33103, 33101])).
% 9.89/7.54 tff(33105,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s282, c_c1)) | (~always19(s282)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33106,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s282)) | (~m_main_v_state1(s282, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 9.89/7.54 tff(33107,plain,
% 9.89/7.54 (~always19(s282)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33106, 28559, 22639])).
% 9.89/7.54 tff(33108,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s281, s282)) | (~always19(s281)) | always19(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s281, s282)) | (~always19(s281)) | always19(s282))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33109,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s281, s282)) | (~always19(s281)) | always19(s282))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33110,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s281, s282)) | (~always19(s281)) | always19(s282)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 9.89/7.54 tff(33111,plain,
% 9.89/7.54 ((~always19(s281)) | always19(s282)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33110, 28576, 22555])).
% 9.89/7.54 tff(33112,plain,
% 9.89/7.54 (~always19(s281)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33111, 33107])).
% 9.89/7.54 tff(33113,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s281) | (~node20(s281)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s281) | (~node20(s281)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33114,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s281) | (~node20(s281)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33115,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s281) | (~node20(s281))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 9.89/7.54 tff(33116,plain,
% 9.89/7.54 (~node20(s281)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33115, 32139, 33112])).
% 9.89/7.54 tff(33117,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s280, s281)) | (~always19(s280)) | always19(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s280, s281)) | (~always19(s280)) | always19(s281))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33118,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s280, s281)) | (~always19(s280)) | always19(s281))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33119,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s280, s281)) | (~always19(s280)) | always19(s281)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33118, 33117])).
% 9.89/7.54 tff(33120,plain,
% 9.89/7.54 ((~always19(s280)) | always19(s281)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33119, 28576, 22488])).
% 9.89/7.54 tff(33121,plain,
% 9.89/7.54 (~always19(s280)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33120, 33112])).
% 9.89/7.54 tff(33122,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s280) | (~node20(s280)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s280) | (~node20(s280)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33123,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s280) | (~node20(s280)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33124,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s280) | (~node20(s280))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33123, 33122])).
% 9.89/7.54 tff(33125,plain,
% 9.89/7.54 (~node20(s280)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33124, 32139, 33121])).
% 9.89/7.54 tff(33126,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state1(s279, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state1(s279, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33127,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state1(s279, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33128,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s279, c_n1)) | (~m_main_v_state1(s279, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33127, 33126])).
% 9.89/7.54 tff(33129,plain,
% 9.89/7.54 (~m_main_v_state1(s279, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33128, 10, 22336])).
% 9.89/7.54 tff(33130,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s279, c_t1) | (~node20(s279)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s279, c_t1) | (~node20(s279)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33131,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s279, c_t1) | (~node20(s279)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33132,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s279, c_t1) | (~node20(s279))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33131, 33130])).
% 9.89/7.54 tff(33133,plain,
% 9.89/7.54 (~node20(s279)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33132, 32116, 33129])).
% 9.89/7.54 tff(33134,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s278)) | (~m_main_v_state1(s278, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s278)) | (~m_main_v_state1(s278, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33135,plain,
% 9.89/7.54 (((~m_main_v_state1(s278, c_c1)) | (~always19(s278))) <=> ((~always19(s278)) | (~m_main_v_state1(s278, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33136,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s278, c_c1)) | (~always19(s278)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s278)) | (~m_main_v_state1(s278, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33135])).
% 9.89/7.54 tff(33137,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s278, c_c1)) | (~always19(s278)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s278)) | (~m_main_v_state1(s278, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33136, 33134])).
% 9.89/7.54 tff(33138,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s278, c_c1)) | (~always19(s278)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33139,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s278)) | (~m_main_v_state1(s278, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33138, 33137])).
% 9.89/7.54 tff(33140,plain,
% 9.89/7.54 (~always19(s278)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33139, 28559, 22272])).
% 9.89/7.54 tff(33141,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s277, s278)) | (~always19(s277)) | always19(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s277, s278)) | (~always19(s277)) | always19(s278))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33142,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s277, s278)) | (~always19(s277)) | always19(s278))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33143,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s277, s278)) | (~always19(s277)) | always19(s278)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33142, 33141])).
% 9.89/7.54 tff(33144,plain,
% 9.89/7.54 ((~always19(s277)) | always19(s278)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33143, 28576, 22260])).
% 9.89/7.54 tff(33145,plain,
% 9.89/7.54 (~always19(s277)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33144, 33140])).
% 9.89/7.54 tff(33146,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s277) | (~node20(s277)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s277) | (~node20(s277)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33147,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s277) | (~node20(s277)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33148,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s277) | (~node20(s277))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33147, 33146])).
% 9.89/7.54 tff(33149,plain,
% 9.89/7.54 (~node20(s277)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33148, 32139, 33145])).
% 9.89/7.54 tff(33150,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s276, s277)) | (~always19(s276)) | always19(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s276, s277)) | (~always19(s276)) | always19(s277))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33151,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s276, s277)) | (~always19(s276)) | always19(s277))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33152,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s276, s277)) | (~always19(s276)) | always19(s277)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33151, 33150])).
% 9.89/7.54 tff(33153,plain,
% 9.89/7.54 ((~always19(s276)) | always19(s277)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33152, 28576, 22165])).
% 9.89/7.54 tff(33154,plain,
% 9.89/7.54 (~always19(s276)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33153, 33145])).
% 9.89/7.54 tff(33155,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s276) | (~node20(s276)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s276) | (~node20(s276)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33156,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s276) | (~node20(s276)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33157,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s276) | (~node20(s276))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 9.89/7.54 tff(33158,plain,
% 9.89/7.54 (~node20(s276)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33157, 32139, 33154])).
% 9.89/7.54 tff(33159,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state1(s275, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state1(s275, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33160,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state1(s275, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33161,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s275, c_n1)) | (~m_main_v_state1(s275, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33160, 33159])).
% 9.89/7.54 tff(33162,plain,
% 9.89/7.54 (~m_main_v_state1(s275, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33161, 10, 22093])).
% 9.89/7.54 tff(33163,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s275, c_t1) | (~node20(s275)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s275, c_t1) | (~node20(s275)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33164,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s275, c_t1) | (~node20(s275)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33165,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s275, c_t1) | (~node20(s275))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33164, 33163])).
% 9.89/7.54 tff(33166,plain,
% 9.89/7.54 (~node20(s275)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33165, 32116, 33162])).
% 9.89/7.54 tff(33167,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s274)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33168,plain,
% 9.89/7.54 (((~m_main_v_state1(s274, c_c1)) | (~always19(s274))) <=> ((~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33169,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s274)) | (~m_main_v_state1(s274, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33168])).
% 9.89/7.54 tff(33170,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33169, 33167])).
% 9.89/7.54 tff(33171,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s274, c_c1)) | (~always19(s274)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33172,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s274)) | (~m_main_v_state1(s274, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33171, 33170])).
% 9.89/7.54 tff(33173,plain,
% 9.89/7.54 (~always19(s274)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33172, 28559, 22011])).
% 9.89/7.54 tff(33174,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s273, s274)) | (~always19(s273)) | always19(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s273, s274)) | (~always19(s273)) | always19(s274))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33175,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s273, s274)) | (~always19(s273)) | always19(s274))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33176,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s273, s274)) | (~always19(s273)) | always19(s274)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33175, 33174])).
% 9.89/7.54 tff(33177,plain,
% 9.89/7.54 ((~always19(s273)) | always19(s274)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33176, 28576, 21927])).
% 9.89/7.54 tff(33178,plain,
% 9.89/7.54 (~always19(s273)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33177, 33173])).
% 9.89/7.54 tff(33179,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s273) | (~node20(s273)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s273) | (~node20(s273)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33180,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s273) | (~node20(s273)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33181,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s273) | (~node20(s273))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33180, 33179])).
% 9.89/7.54 tff(33182,plain,
% 9.89/7.54 (~node20(s273)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33181, 32139, 33178])).
% 9.89/7.54 tff(33183,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s272, s273)) | (~always19(s272)) | always19(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s272, s273)) | (~always19(s272)) | always19(s273))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33184,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s272, s273)) | (~always19(s272)) | always19(s273))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33185,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s272, s273)) | (~always19(s272)) | always19(s273)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 9.89/7.54 tff(33186,plain,
% 9.89/7.54 ((~always19(s272)) | always19(s273)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33185, 28576, 21860])).
% 9.89/7.54 tff(33187,plain,
% 9.89/7.54 (~always19(s272)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33186, 33178])).
% 9.89/7.54 tff(33188,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s272) | (~node20(s272)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s272) | (~node20(s272)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33189,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s272) | (~node20(s272)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33190,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s272) | (~node20(s272))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33189, 33188])).
% 9.89/7.54 tff(33191,plain,
% 9.89/7.54 (~node20(s272)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33190, 32139, 33187])).
% 9.89/7.54 tff(33192,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state1(s271, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state1(s271, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33193,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state1(s271, c_t1)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33194,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s271, c_n1)) | (~m_main_v_state1(s271, c_t1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33193, 33192])).
% 9.89/7.54 tff(33195,plain,
% 9.89/7.54 (~m_main_v_state1(s271, c_t1)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33194, 10, 21708])).
% 9.89/7.54 tff(33196,plain,
% 9.89/7.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s271, c_t1) | (~node20(s271)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s271, c_t1) | (~node20(s271)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33197,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s271, c_t1) | (~node20(s271)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33198,plain,
% 9.89/7.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s271, c_t1) | (~node20(s271))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33197, 33196])).
% 9.89/7.54 tff(33199,plain,
% 9.89/7.54 (~node20(s271)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33198, 32116, 33195])).
% 9.89/7.54 tff(33200,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s270)) | (~m_main_v_state1(s270, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s270)) | (~m_main_v_state1(s270, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33201,plain,
% 9.89/7.54 (((~m_main_v_state1(s270, c_c1)) | (~always19(s270))) <=> ((~always19(s270)) | (~m_main_v_state1(s270, c_c1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33202,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s270, c_c1)) | (~always19(s270)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s270)) | (~m_main_v_state1(s270, c_c1))))),
% 9.89/7.54 inference(monotonicity,[status(thm)],[33201])).
% 9.89/7.54 tff(33203,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s270, c_c1)) | (~always19(s270)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s270)) | (~m_main_v_state1(s270, c_c1)))),
% 9.89/7.54 inference(transitivity,[status(thm)],[33202, 33200])).
% 9.89/7.54 tff(33204,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s270, c_c1)) | (~always19(s270)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33205,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s270)) | (~m_main_v_state1(s270, c_c1))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 9.89/7.54 tff(33206,plain,
% 9.89/7.54 (~always19(s270)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33205, 28559, 21644])).
% 9.89/7.54 tff(33207,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s269, s270)) | (~always19(s269)) | always19(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s269, s270)) | (~always19(s269)) | always19(s270))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33208,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s269, s270)) | (~always19(s269)) | always19(s270))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33209,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s269, s270)) | (~always19(s269)) | always19(s270)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33208, 33207])).
% 9.89/7.54 tff(33210,plain,
% 9.89/7.54 ((~always19(s269)) | always19(s270)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33209, 28576, 21632])).
% 9.89/7.54 tff(33211,plain,
% 9.89/7.54 (~always19(s269)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33210, 33206])).
% 9.89/7.54 tff(33212,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s269) | (~node20(s269)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s269) | (~node20(s269)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33213,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s269) | (~node20(s269)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33214,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s269) | (~node20(s269))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33213, 33212])).
% 9.89/7.54 tff(33215,plain,
% 9.89/7.54 (~node20(s269)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33214, 32139, 33211])).
% 9.89/7.54 tff(33216,plain,
% 9.89/7.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s268, s269)) | (~always19(s268)) | always19(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s268, s269)) | (~always19(s268)) | always19(s269))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33217,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s268, s269)) | (~always19(s268)) | always19(s269))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33218,plain,
% 9.89/7.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s268, s269)) | (~always19(s268)) | always19(s269)),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 9.89/7.54 tff(33219,plain,
% 9.89/7.54 ((~always19(s268)) | always19(s269)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33218, 28576, 21537])).
% 9.89/7.54 tff(33220,plain,
% 9.89/7.54 (~always19(s268)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33219, 33211])).
% 9.89/7.54 tff(33221,plain,
% 9.89/7.54 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s268) | (~node20(s268)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s268) | (~node20(s268)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33222,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s268) | (~node20(s268)))),
% 9.89/7.54 inference(quant_inst,[status(thm)],[])).
% 9.89/7.54 tff(33223,plain,
% 9.89/7.54 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s268) | (~node20(s268))),
% 9.89/7.54 inference(modus_ponens,[status(thm)],[33222, 33221])).
% 9.89/7.54 tff(33224,plain,
% 9.89/7.54 (~node20(s268)),
% 9.89/7.54 inference(unit_resolution,[status(thm)],[33223, 32139, 33220])).
% 9.89/7.54 tff(33225,plain,
% 9.89/7.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state1(s267, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state1(s267, c_t1)))),
% 9.89/7.54 inference(rewrite,[status(thm)],[])).
% 9.89/7.54 tff(33226,plain,
% 9.89/7.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state1(s267, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33227,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s267, c_n1)) | (~m_main_v_state1(s267, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 9.89/7.55 tff(33228,plain,
% 9.89/7.55 (~m_main_v_state1(s267, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33227, 10, 21465])).
% 9.89/7.55 tff(33229,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s267, c_t1) | (~node20(s267)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s267, c_t1) | (~node20(s267)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33230,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s267, c_t1) | (~node20(s267)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33231,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s267, c_t1) | (~node20(s267))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 9.89/7.55 tff(33232,plain,
% 9.89/7.55 (~node20(s267)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33231, 32116, 33228])).
% 9.89/7.55 tff(33233,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s266)) | (~m_main_v_state1(s266, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s266)) | (~m_main_v_state1(s266, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33234,plain,
% 9.89/7.55 (((~m_main_v_state1(s266, c_c1)) | (~always19(s266))) <=> ((~always19(s266)) | (~m_main_v_state1(s266, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33235,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s266, c_c1)) | (~always19(s266)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s266)) | (~m_main_v_state1(s266, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33234])).
% 9.89/7.55 tff(33236,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s266, c_c1)) | (~always19(s266)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s266)) | (~m_main_v_state1(s266, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33235, 33233])).
% 9.89/7.55 tff(33237,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s266, c_c1)) | (~always19(s266)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33238,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s266)) | (~m_main_v_state1(s266, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 9.89/7.55 tff(33239,plain,
% 9.89/7.55 (~always19(s266)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33238, 28559, 21383])).
% 9.89/7.55 tff(33240,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s265, s266)) | (~always19(s265)) | always19(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s265, s266)) | (~always19(s265)) | always19(s266))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33241,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s265, s266)) | (~always19(s265)) | always19(s266))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33242,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s265, s266)) | (~always19(s265)) | always19(s266)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 9.89/7.55 tff(33243,plain,
% 9.89/7.55 ((~always19(s265)) | always19(s266)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33242, 28576, 21299])).
% 9.89/7.55 tff(33244,plain,
% 9.89/7.55 (~always19(s265)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33243, 33239])).
% 9.89/7.55 tff(33245,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s265) | (~node20(s265)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s265) | (~node20(s265)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33246,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s265) | (~node20(s265)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33247,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s265) | (~node20(s265))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33246, 33245])).
% 9.89/7.55 tff(33248,plain,
% 9.89/7.55 (~node20(s265)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33247, 32139, 33244])).
% 9.89/7.55 tff(33249,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s264, s265)) | (~always19(s264)) | always19(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s264, s265)) | (~always19(s264)) | always19(s265))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33250,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s264, s265)) | (~always19(s264)) | always19(s265))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33251,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s264, s265)) | (~always19(s264)) | always19(s265)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 9.89/7.55 tff(33252,plain,
% 9.89/7.55 ((~always19(s264)) | always19(s265)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33251, 28576, 21232])).
% 9.89/7.55 tff(33253,plain,
% 9.89/7.55 (~always19(s264)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33252, 33244])).
% 9.89/7.55 tff(33254,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s264) | (~node20(s264)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s264) | (~node20(s264)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33255,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s264) | (~node20(s264)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33256,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s264) | (~node20(s264))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33255, 33254])).
% 9.89/7.55 tff(33257,plain,
% 9.89/7.55 (~node20(s264)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33256, 32139, 33253])).
% 9.89/7.55 tff(33258,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state1(s263, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state1(s263, c_t1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33259,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state1(s263, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33260,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s263, c_n1)) | (~m_main_v_state1(s263, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 9.89/7.55 tff(33261,plain,
% 9.89/7.55 (~m_main_v_state1(s263, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33260, 10, 21080])).
% 9.89/7.55 tff(33262,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s263, c_t1) | (~node20(s263)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s263, c_t1) | (~node20(s263)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33263,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s263, c_t1) | (~node20(s263)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33264,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s263, c_t1) | (~node20(s263))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 9.89/7.55 tff(33265,plain,
% 9.89/7.55 (~node20(s263)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33264, 32116, 33261])).
% 9.89/7.55 tff(33266,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s262)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33267,plain,
% 9.89/7.55 (((~m_main_v_state1(s262, c_c1)) | (~always19(s262))) <=> ((~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33268,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s262)) | (~m_main_v_state1(s262, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33267])).
% 9.89/7.55 tff(33269,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33268, 33266])).
% 9.89/7.55 tff(33270,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s262, c_c1)) | (~always19(s262)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33271,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s262)) | (~m_main_v_state1(s262, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33270, 33269])).
% 9.89/7.55 tff(33272,plain,
% 9.89/7.55 (~always19(s262)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33271, 28559, 21016])).
% 9.89/7.55 tff(33273,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s261, s262)) | (~always19(s261)) | always19(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s261, s262)) | (~always19(s261)) | always19(s262))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33274,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s261, s262)) | (~always19(s261)) | always19(s262))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33275,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s261, s262)) | (~always19(s261)) | always19(s262)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 9.89/7.55 tff(33276,plain,
% 9.89/7.55 ((~always19(s261)) | always19(s262)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33275, 28576, 21004])).
% 9.89/7.55 tff(33277,plain,
% 9.89/7.55 (~always19(s261)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33276, 33272])).
% 9.89/7.55 tff(33278,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s261) | (~node20(s261)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s261) | (~node20(s261)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33279,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s261) | (~node20(s261)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33280,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s261) | (~node20(s261))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 9.89/7.55 tff(33281,plain,
% 9.89/7.55 (~node20(s261)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33280, 32139, 33277])).
% 9.89/7.55 tff(33282,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s260, s261)) | (~always19(s260)) | always19(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s260, s261)) | (~always19(s260)) | always19(s261))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33283,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s260, s261)) | (~always19(s260)) | always19(s261))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33284,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s260, s261)) | (~always19(s260)) | always19(s261)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 9.89/7.55 tff(33285,plain,
% 9.89/7.55 ((~always19(s260)) | always19(s261)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33284, 28576, 20909])).
% 9.89/7.55 tff(33286,plain,
% 9.89/7.55 (~always19(s260)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33285, 33277])).
% 9.89/7.55 tff(33287,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s260) | (~node20(s260)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s260) | (~node20(s260)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33288,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s260) | (~node20(s260)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33289,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s260) | (~node20(s260))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 9.89/7.55 tff(33290,plain,
% 9.89/7.55 (~node20(s260)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33289, 32139, 33286])).
% 9.89/7.55 tff(33291,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state1(s259, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state1(s259, c_t1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33292,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state1(s259, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33293,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s259, c_n1)) | (~m_main_v_state1(s259, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33292, 33291])).
% 9.89/7.55 tff(33294,plain,
% 9.89/7.55 (~m_main_v_state1(s259, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33293, 10, 20837])).
% 9.89/7.55 tff(33295,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s259, c_t1) | (~node20(s259)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s259, c_t1) | (~node20(s259)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33296,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s259, c_t1) | (~node20(s259)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33297,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s259, c_t1) | (~node20(s259))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33296, 33295])).
% 9.89/7.55 tff(33298,plain,
% 9.89/7.55 (~node20(s259)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33297, 32116, 33294])).
% 9.89/7.55 tff(33299,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s258)) | (~m_main_v_state1(s258, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s258)) | (~m_main_v_state1(s258, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33300,plain,
% 9.89/7.55 (((~m_main_v_state1(s258, c_c1)) | (~always19(s258))) <=> ((~always19(s258)) | (~m_main_v_state1(s258, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33301,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s258, c_c1)) | (~always19(s258)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s258)) | (~m_main_v_state1(s258, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33300])).
% 9.89/7.55 tff(33302,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s258, c_c1)) | (~always19(s258)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s258)) | (~m_main_v_state1(s258, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33301, 33299])).
% 9.89/7.55 tff(33303,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s258, c_c1)) | (~always19(s258)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33304,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s258)) | (~m_main_v_state1(s258, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33303, 33302])).
% 9.89/7.55 tff(33305,plain,
% 9.89/7.55 (~always19(s258)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33304, 28559, 20755])).
% 9.89/7.55 tff(33306,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s257, s258)) | (~always19(s257)) | always19(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s257, s258)) | (~always19(s257)) | always19(s258))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33307,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s257, s258)) | (~always19(s257)) | always19(s258))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33308,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s257, s258)) | (~always19(s257)) | always19(s258)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33307, 33306])).
% 9.89/7.55 tff(33309,plain,
% 9.89/7.55 ((~always19(s257)) | always19(s258)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33308, 28576, 20671])).
% 9.89/7.55 tff(33310,plain,
% 9.89/7.55 (~always19(s257)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33309, 33305])).
% 9.89/7.55 tff(33311,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s257) | (~node20(s257)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s257) | (~node20(s257)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33312,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s257) | (~node20(s257)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33313,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s257) | (~node20(s257))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33312, 33311])).
% 9.89/7.55 tff(33314,plain,
% 9.89/7.55 (~node20(s257)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33313, 32139, 33310])).
% 9.89/7.55 tff(33315,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s256, s257)) | (~always19(s256)) | always19(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s256, s257)) | (~always19(s256)) | always19(s257))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33316,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s256, s257)) | (~always19(s256)) | always19(s257))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33317,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s256, s257)) | (~always19(s256)) | always19(s257)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33316, 33315])).
% 9.89/7.55 tff(33318,plain,
% 9.89/7.55 ((~always19(s256)) | always19(s257)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33317, 28576, 20604])).
% 9.89/7.55 tff(33319,plain,
% 9.89/7.55 (~always19(s256)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33318, 33310])).
% 9.89/7.55 tff(33320,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s256) | (~node20(s256)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s256) | (~node20(s256)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33321,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s256) | (~node20(s256)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33322,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s256) | (~node20(s256))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33321, 33320])).
% 9.89/7.55 tff(33323,plain,
% 9.89/7.55 (~node20(s256)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33322, 32139, 33319])).
% 9.89/7.55 tff(33324,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state1(s255, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state1(s255, c_t1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33325,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state1(s255, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33326,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s255, c_n1)) | (~m_main_v_state1(s255, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 9.89/7.55 tff(33327,plain,
% 9.89/7.55 (~m_main_v_state1(s255, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33326, 10, 20452])).
% 9.89/7.55 tff(33328,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s255, c_t1) | (~node20(s255)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s255, c_t1) | (~node20(s255)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33329,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s255, c_t1) | (~node20(s255)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33330,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s255, c_t1) | (~node20(s255))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33329, 33328])).
% 9.89/7.55 tff(33331,plain,
% 9.89/7.55 (~node20(s255)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33330, 32116, 33327])).
% 9.89/7.55 tff(33332,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s254)) | (~m_main_v_state1(s254, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s254)) | (~m_main_v_state1(s254, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33333,plain,
% 9.89/7.55 (((~m_main_v_state1(s254, c_c1)) | (~always19(s254))) <=> ((~always19(s254)) | (~m_main_v_state1(s254, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33334,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s254, c_c1)) | (~always19(s254)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s254)) | (~m_main_v_state1(s254, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33333])).
% 9.89/7.55 tff(33335,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s254, c_c1)) | (~always19(s254)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s254)) | (~m_main_v_state1(s254, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33334, 33332])).
% 9.89/7.55 tff(33336,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s254, c_c1)) | (~always19(s254)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33337,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s254)) | (~m_main_v_state1(s254, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 9.89/7.55 tff(33338,plain,
% 9.89/7.55 (~always19(s254)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33337, 28559, 20388])).
% 9.89/7.55 tff(33339,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s253, s254)) | (~always19(s253)) | always19(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s253, s254)) | (~always19(s253)) | always19(s254))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33340,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s253, s254)) | (~always19(s253)) | always19(s254))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33341,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s253, s254)) | (~always19(s253)) | always19(s254)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 9.89/7.55 tff(33342,plain,
% 9.89/7.55 ((~always19(s253)) | always19(s254)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33341, 28576, 20376])).
% 9.89/7.55 tff(33343,plain,
% 9.89/7.55 (~always19(s253)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33342, 33338])).
% 9.89/7.55 tff(33344,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s253) | (~node20(s253)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s253) | (~node20(s253)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33345,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s253) | (~node20(s253)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33346,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s253) | (~node20(s253))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 9.89/7.55 tff(33347,plain,
% 9.89/7.55 (~node20(s253)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33346, 32139, 33343])).
% 9.89/7.55 tff(33348,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s252, s253)) | (~always19(s252)) | always19(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s252, s253)) | (~always19(s252)) | always19(s253))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33349,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s252, s253)) | (~always19(s252)) | always19(s253))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33350,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s252, s253)) | (~always19(s252)) | always19(s253)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 9.89/7.55 tff(33351,plain,
% 9.89/7.55 ((~always19(s252)) | always19(s253)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33350, 28576, 20281])).
% 9.89/7.55 tff(33352,plain,
% 9.89/7.55 (~always19(s252)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33351, 33343])).
% 9.89/7.55 tff(33353,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s252) | (~node20(s252)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s252) | (~node20(s252)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33354,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s252) | (~node20(s252)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33355,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s252) | (~node20(s252))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 9.89/7.55 tff(33356,plain,
% 9.89/7.55 (~node20(s252)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33355, 32139, 33352])).
% 9.89/7.55 tff(33357,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state1(s251, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state1(s251, c_t1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33358,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state1(s251, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33359,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s251, c_n1)) | (~m_main_v_state1(s251, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 9.89/7.55 tff(33360,plain,
% 9.89/7.55 (~m_main_v_state1(s251, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33359, 10, 20209])).
% 9.89/7.55 tff(33361,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s251, c_t1) | (~node20(s251)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s251, c_t1) | (~node20(s251)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33362,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s251, c_t1) | (~node20(s251)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33363,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s251, c_t1) | (~node20(s251))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 9.89/7.55 tff(33364,plain,
% 9.89/7.55 (~node20(s251)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33363, 32116, 33360])).
% 9.89/7.55 tff(33365,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s250)) | (~m_main_v_state1(s250, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s250)) | (~m_main_v_state1(s250, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33366,plain,
% 9.89/7.55 (((~m_main_v_state1(s250, c_c1)) | (~always19(s250))) <=> ((~always19(s250)) | (~m_main_v_state1(s250, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33367,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s250, c_c1)) | (~always19(s250)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s250)) | (~m_main_v_state1(s250, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33366])).
% 9.89/7.55 tff(33368,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s250, c_c1)) | (~always19(s250)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s250)) | (~m_main_v_state1(s250, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33367, 33365])).
% 9.89/7.55 tff(33369,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s250, c_c1)) | (~always19(s250)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33370,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s250)) | (~m_main_v_state1(s250, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 9.89/7.55 tff(33371,plain,
% 9.89/7.55 (~always19(s250)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33370, 28559, 20127])).
% 9.89/7.55 tff(33372,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s249, s250)) | (~always19(s249)) | always19(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s249, s250)) | (~always19(s249)) | always19(s250))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33373,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s249, s250)) | (~always19(s249)) | always19(s250))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33374,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s249, s250)) | (~always19(s249)) | always19(s250)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 9.89/7.55 tff(33375,plain,
% 9.89/7.55 ((~always19(s249)) | always19(s250)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33374, 28576, 20043])).
% 9.89/7.55 tff(33376,plain,
% 9.89/7.55 (~always19(s249)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33375, 33371])).
% 9.89/7.55 tff(33377,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s249) | (~node20(s249)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s249) | (~node20(s249)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33378,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s249) | (~node20(s249)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33379,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s249) | (~node20(s249))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 9.89/7.55 tff(33380,plain,
% 9.89/7.55 (~node20(s249)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33379, 32139, 33376])).
% 9.89/7.55 tff(33381,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s248, s249)) | (~always19(s248)) | always19(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s248, s249)) | (~always19(s248)) | always19(s249))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33382,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s248, s249)) | (~always19(s248)) | always19(s249))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33383,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s248, s249)) | (~always19(s248)) | always19(s249)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33382, 33381])).
% 9.89/7.55 tff(33384,plain,
% 9.89/7.55 ((~always19(s248)) | always19(s249)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33383, 28576, 19976])).
% 9.89/7.55 tff(33385,plain,
% 9.89/7.55 (~always19(s248)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33384, 33376])).
% 9.89/7.55 tff(33386,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s248) | (~node20(s248)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s248) | (~node20(s248)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33387,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s248) | (~node20(s248)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33388,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s248) | (~node20(s248))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33387, 33386])).
% 9.89/7.55 tff(33389,plain,
% 9.89/7.55 (~node20(s248)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33388, 32139, 33385])).
% 9.89/7.55 tff(33390,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state1(s247, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state1(s247, c_t1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33391,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state1(s247, c_t1)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33392,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s247, c_n1)) | (~m_main_v_state1(s247, c_t1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 9.89/7.55 tff(33393,plain,
% 9.89/7.55 (~m_main_v_state1(s247, c_t1)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33392, 10, 19824])).
% 9.89/7.55 tff(33394,plain,
% 9.89/7.55 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s247, c_t1) | (~node20(s247)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s247, c_t1) | (~node20(s247)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33395,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s247, c_t1) | (~node20(s247)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33396,plain,
% 9.89/7.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s247, c_t1) | (~node20(s247))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33395, 33394])).
% 9.89/7.55 tff(33397,plain,
% 9.89/7.55 (~node20(s247)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33396, 32116, 33393])).
% 9.89/7.55 tff(33398,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s246)) | (~m_main_v_state1(s246, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s246)) | (~m_main_v_state1(s246, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33399,plain,
% 9.89/7.55 (((~m_main_v_state1(s246, c_c1)) | (~always19(s246))) <=> ((~always19(s246)) | (~m_main_v_state1(s246, c_c1)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33400,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s246, c_c1)) | (~always19(s246)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s246)) | (~m_main_v_state1(s246, c_c1))))),
% 9.89/7.55 inference(monotonicity,[status(thm)],[33399])).
% 9.89/7.55 tff(33401,plain,
% 9.89/7.55 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s246, c_c1)) | (~always19(s246)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s246)) | (~m_main_v_state1(s246, c_c1)))),
% 9.89/7.55 inference(transitivity,[status(thm)],[33400, 33398])).
% 9.89/7.55 tff(33402,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s246, c_c1)) | (~always19(s246)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33403,plain,
% 9.89/7.55 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s246)) | (~m_main_v_state1(s246, c_c1))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33402, 33401])).
% 9.89/7.55 tff(33404,plain,
% 9.89/7.55 (~always19(s246)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33403, 28559, 19760])).
% 9.89/7.55 tff(33405,plain,
% 9.89/7.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s245, s246)) | (~always19(s245)) | always19(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s245, s246)) | (~always19(s245)) | always19(s246))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33406,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s245, s246)) | (~always19(s245)) | always19(s246))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33407,plain,
% 9.89/7.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s245, s246)) | (~always19(s245)) | always19(s246)),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33406, 33405])).
% 9.89/7.55 tff(33408,plain,
% 9.89/7.55 ((~always19(s245)) | always19(s246)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33407, 28576, 19748])).
% 9.89/7.55 tff(33409,plain,
% 9.89/7.55 (~always19(s245)),
% 9.89/7.55 inference(unit_resolution,[status(thm)],[33408, 33404])).
% 9.89/7.55 tff(33410,plain,
% 9.89/7.55 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s245) | (~node20(s245)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s245) | (~node20(s245)))),
% 9.89/7.55 inference(rewrite,[status(thm)],[])).
% 9.89/7.55 tff(33411,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s245) | (~node20(s245)))),
% 9.89/7.55 inference(quant_inst,[status(thm)],[])).
% 9.89/7.55 tff(33412,plain,
% 9.89/7.55 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s245) | (~node20(s245))),
% 9.89/7.55 inference(modus_ponens,[status(thm)],[33411, 33410])).
% 9.89/7.56 tff(33413,plain,
% 9.89/7.56 (~node20(s245)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33412, 32139, 33409])).
% 9.89/7.56 tff(33414,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s244, s245)) | (~always19(s244)) | always19(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s244, s245)) | (~always19(s244)) | always19(s245))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33415,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s244, s245)) | (~always19(s244)) | always19(s245))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33416,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s244, s245)) | (~always19(s244)) | always19(s245)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33415, 33414])).
% 9.89/7.56 tff(33417,plain,
% 9.89/7.56 ((~always19(s244)) | always19(s245)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33416, 28576, 19653])).
% 9.89/7.56 tff(33418,plain,
% 9.89/7.56 (~always19(s244)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33417, 33409])).
% 9.89/7.56 tff(33419,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s244) | (~node20(s244)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s244) | (~node20(s244)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33420,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s244) | (~node20(s244)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33421,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s244) | (~node20(s244))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 9.89/7.56 tff(33422,plain,
% 9.89/7.56 (~node20(s244)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33421, 32139, 33418])).
% 9.89/7.56 tff(33423,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state1(s243, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state1(s243, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33424,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state1(s243, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33425,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s243, c_n1)) | (~m_main_v_state1(s243, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 9.89/7.56 tff(33426,plain,
% 9.89/7.56 (~m_main_v_state1(s243, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33425, 10, 19581])).
% 9.89/7.56 tff(33427,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s243, c_t1) | (~node20(s243)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s243, c_t1) | (~node20(s243)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33428,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s243, c_t1) | (~node20(s243)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33429,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s243, c_t1) | (~node20(s243))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 9.89/7.56 tff(33430,plain,
% 9.89/7.56 (~node20(s243)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33429, 32116, 33426])).
% 9.89/7.56 tff(33431,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s242)) | (~m_main_v_state1(s242, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s242)) | (~m_main_v_state1(s242, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33432,plain,
% 9.89/7.56 (((~m_main_v_state1(s242, c_c1)) | (~always19(s242))) <=> ((~always19(s242)) | (~m_main_v_state1(s242, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33433,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s242, c_c1)) | (~always19(s242)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s242)) | (~m_main_v_state1(s242, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33432])).
% 9.89/7.56 tff(33434,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s242, c_c1)) | (~always19(s242)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s242)) | (~m_main_v_state1(s242, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33433, 33431])).
% 9.89/7.56 tff(33435,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s242, c_c1)) | (~always19(s242)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33436,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s242)) | (~m_main_v_state1(s242, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33435, 33434])).
% 9.89/7.56 tff(33437,plain,
% 9.89/7.56 (~always19(s242)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33436, 28559, 19499])).
% 9.89/7.56 tff(33438,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s241, s242)) | (~always19(s241)) | always19(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s241, s242)) | (~always19(s241)) | always19(s242))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33439,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s241, s242)) | (~always19(s241)) | always19(s242))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33440,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s241, s242)) | (~always19(s241)) | always19(s242)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33439, 33438])).
% 9.89/7.56 tff(33441,plain,
% 9.89/7.56 ((~always19(s241)) | always19(s242)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33440, 28576, 19415])).
% 9.89/7.56 tff(33442,plain,
% 9.89/7.56 (~always19(s241)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33441, 33437])).
% 9.89/7.56 tff(33443,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s241) | (~node20(s241)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s241) | (~node20(s241)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33444,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s241) | (~node20(s241)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33445,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s241) | (~node20(s241))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 9.89/7.56 tff(33446,plain,
% 9.89/7.56 (~node20(s241)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33445, 32139, 33442])).
% 9.89/7.56 tff(33447,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s240, s241)) | (~always19(s240)) | always19(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s240, s241)) | (~always19(s240)) | always19(s241))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33448,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s240, s241)) | (~always19(s240)) | always19(s241))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33449,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s240, s241)) | (~always19(s240)) | always19(s241)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33448, 33447])).
% 9.89/7.56 tff(33450,plain,
% 9.89/7.56 ((~always19(s240)) | always19(s241)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33449, 28576, 19348])).
% 9.89/7.56 tff(33451,plain,
% 9.89/7.56 (~always19(s240)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33450, 33442])).
% 9.89/7.56 tff(33452,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s240) | (~node20(s240)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s240) | (~node20(s240)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33453,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s240) | (~node20(s240)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33454,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s240) | (~node20(s240))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 9.89/7.56 tff(33455,plain,
% 9.89/7.56 (~node20(s240)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33454, 32139, 33451])).
% 9.89/7.56 tff(33456,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state1(s239, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state1(s239, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33457,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state1(s239, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33458,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s239, c_n1)) | (~m_main_v_state1(s239, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 9.89/7.56 tff(33459,plain,
% 9.89/7.56 (~m_main_v_state1(s239, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33458, 10, 19196])).
% 9.89/7.56 tff(33460,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s239, c_t1) | (~node20(s239)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s239, c_t1) | (~node20(s239)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33461,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s239, c_t1) | (~node20(s239)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33462,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s239, c_t1) | (~node20(s239))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33461, 33460])).
% 9.89/7.56 tff(33463,plain,
% 9.89/7.56 (~node20(s239)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33462, 32116, 33459])).
% 9.89/7.56 tff(33464,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s238)) | (~m_main_v_state1(s238, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s238)) | (~m_main_v_state1(s238, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33465,plain,
% 9.89/7.56 (((~m_main_v_state1(s238, c_c1)) | (~always19(s238))) <=> ((~always19(s238)) | (~m_main_v_state1(s238, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33466,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s238, c_c1)) | (~always19(s238)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s238)) | (~m_main_v_state1(s238, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33465])).
% 9.89/7.56 tff(33467,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s238, c_c1)) | (~always19(s238)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s238)) | (~m_main_v_state1(s238, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33466, 33464])).
% 9.89/7.56 tff(33468,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s238, c_c1)) | (~always19(s238)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33469,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s238)) | (~m_main_v_state1(s238, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 9.89/7.56 tff(33470,plain,
% 9.89/7.56 (~always19(s238)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33469, 28559, 19132])).
% 9.89/7.56 tff(33471,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s237, s238)) | (~always19(s237)) | always19(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s237, s238)) | (~always19(s237)) | always19(s238))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33472,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s237, s238)) | (~always19(s237)) | always19(s238))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33473,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s237, s238)) | (~always19(s237)) | always19(s238)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33472, 33471])).
% 9.89/7.56 tff(33474,plain,
% 9.89/7.56 ((~always19(s237)) | always19(s238)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33473, 28576, 19120])).
% 9.89/7.56 tff(33475,plain,
% 9.89/7.56 (~always19(s237)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33474, 33470])).
% 9.89/7.56 tff(33476,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s237) | (~node20(s237)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s237) | (~node20(s237)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33477,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s237) | (~node20(s237)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33478,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s237) | (~node20(s237))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 9.89/7.56 tff(33479,plain,
% 9.89/7.56 (~node20(s237)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33478, 32139, 33475])).
% 9.89/7.56 tff(33480,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s236, s237)) | (~always19(s236)) | always19(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s236, s237)) | (~always19(s236)) | always19(s237))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33481,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s236, s237)) | (~always19(s236)) | always19(s237))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33482,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s236, s237)) | (~always19(s236)) | always19(s237)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33481, 33480])).
% 9.89/7.56 tff(33483,plain,
% 9.89/7.56 ((~always19(s236)) | always19(s237)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33482, 28576, 19025])).
% 9.89/7.56 tff(33484,plain,
% 9.89/7.56 (~always19(s236)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33483, 33475])).
% 9.89/7.56 tff(33485,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s236) | (~node20(s236)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s236) | (~node20(s236)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33486,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s236) | (~node20(s236)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33487,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s236) | (~node20(s236))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33486, 33485])).
% 9.89/7.56 tff(33488,plain,
% 9.89/7.56 (~node20(s236)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33487, 32139, 33484])).
% 9.89/7.56 tff(33489,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state1(s235, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state1(s235, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33490,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state1(s235, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33491,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s235, c_n1)) | (~m_main_v_state1(s235, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33490, 33489])).
% 9.89/7.56 tff(33492,plain,
% 9.89/7.56 (~m_main_v_state1(s235, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33491, 10, 18953])).
% 9.89/7.56 tff(33493,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s235, c_t1) | (~node20(s235)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s235, c_t1) | (~node20(s235)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33494,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s235, c_t1) | (~node20(s235)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33495,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s235, c_t1) | (~node20(s235))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 9.89/7.56 tff(33496,plain,
% 9.89/7.56 (~node20(s235)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33495, 32116, 33492])).
% 9.89/7.56 tff(33497,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s234)) | (~m_main_v_state1(s234, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s234)) | (~m_main_v_state1(s234, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33498,plain,
% 9.89/7.56 (((~m_main_v_state1(s234, c_c1)) | (~always19(s234))) <=> ((~always19(s234)) | (~m_main_v_state1(s234, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33499,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s234, c_c1)) | (~always19(s234)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s234)) | (~m_main_v_state1(s234, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33498])).
% 9.89/7.56 tff(33500,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s234, c_c1)) | (~always19(s234)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s234)) | (~m_main_v_state1(s234, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33499, 33497])).
% 9.89/7.56 tff(33501,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s234, c_c1)) | (~always19(s234)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33502,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s234)) | (~m_main_v_state1(s234, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 9.89/7.56 tff(33503,plain,
% 9.89/7.56 (~always19(s234)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33502, 28559, 18871])).
% 9.89/7.56 tff(33504,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s233, s234)) | (~always19(s233)) | always19(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s233, s234)) | (~always19(s233)) | always19(s234))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33505,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s233, s234)) | (~always19(s233)) | always19(s234))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33506,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s233, s234)) | (~always19(s233)) | always19(s234)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 9.89/7.56 tff(33507,plain,
% 9.89/7.56 ((~always19(s233)) | always19(s234)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33506, 28576, 18787])).
% 9.89/7.56 tff(33508,plain,
% 9.89/7.56 (~always19(s233)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33507, 33503])).
% 9.89/7.56 tff(33509,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s233) | (~node20(s233)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s233) | (~node20(s233)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33510,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s233) | (~node20(s233)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33511,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s233) | (~node20(s233))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 9.89/7.56 tff(33512,plain,
% 9.89/7.56 (~node20(s233)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33511, 32139, 33508])).
% 9.89/7.56 tff(33513,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s232, s233)) | (~always19(s232)) | always19(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s232, s233)) | (~always19(s232)) | always19(s233))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33514,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s232, s233)) | (~always19(s232)) | always19(s233))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33515,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s232, s233)) | (~always19(s232)) | always19(s233)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33514, 33513])).
% 9.89/7.56 tff(33516,plain,
% 9.89/7.56 ((~always19(s232)) | always19(s233)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33515, 28576, 18720])).
% 9.89/7.56 tff(33517,plain,
% 9.89/7.56 (~always19(s232)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33516, 33508])).
% 9.89/7.56 tff(33518,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s232) | (~node20(s232)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s232) | (~node20(s232)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33519,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s232) | (~node20(s232)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33520,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s232) | (~node20(s232))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 9.89/7.56 tff(33521,plain,
% 9.89/7.56 (~node20(s232)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33520, 32139, 33517])).
% 9.89/7.56 tff(33522,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state1(s231, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state1(s231, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33523,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state1(s231, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33524,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s231, c_n1)) | (~m_main_v_state1(s231, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 9.89/7.56 tff(33525,plain,
% 9.89/7.56 (~m_main_v_state1(s231, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33524, 10, 18568])).
% 9.89/7.56 tff(33526,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s231, c_t1) | (~node20(s231)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s231, c_t1) | (~node20(s231)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33527,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s231, c_t1) | (~node20(s231)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33528,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s231, c_t1) | (~node20(s231))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 9.89/7.56 tff(33529,plain,
% 9.89/7.56 (~node20(s231)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33528, 32116, 33525])).
% 9.89/7.56 tff(33530,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s230)) | (~m_main_v_state1(s230, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s230)) | (~m_main_v_state1(s230, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33531,plain,
% 9.89/7.56 (((~m_main_v_state1(s230, c_c1)) | (~always19(s230))) <=> ((~always19(s230)) | (~m_main_v_state1(s230, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33532,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s230, c_c1)) | (~always19(s230)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s230)) | (~m_main_v_state1(s230, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33531])).
% 9.89/7.56 tff(33533,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s230, c_c1)) | (~always19(s230)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s230)) | (~m_main_v_state1(s230, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33532, 33530])).
% 9.89/7.56 tff(33534,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s230, c_c1)) | (~always19(s230)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33535,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s230)) | (~m_main_v_state1(s230, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33534, 33533])).
% 9.89/7.56 tff(33536,plain,
% 9.89/7.56 (~always19(s230)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33535, 28559, 18504])).
% 9.89/7.56 tff(33537,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s229, s230)) | (~always19(s229)) | always19(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s229, s230)) | (~always19(s229)) | always19(s230))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33538,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s229, s230)) | (~always19(s229)) | always19(s230))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33539,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s229, s230)) | (~always19(s229)) | always19(s230)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33538, 33537])).
% 9.89/7.56 tff(33540,plain,
% 9.89/7.56 ((~always19(s229)) | always19(s230)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33539, 28576, 18492])).
% 9.89/7.56 tff(33541,plain,
% 9.89/7.56 (~always19(s229)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33540, 33536])).
% 9.89/7.56 tff(33542,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s229) | (~node20(s229)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s229) | (~node20(s229)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33543,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s229) | (~node20(s229)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33544,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s229) | (~node20(s229))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33543, 33542])).
% 9.89/7.56 tff(33545,plain,
% 9.89/7.56 (~node20(s229)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33544, 32139, 33541])).
% 9.89/7.56 tff(33546,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s228, s229)) | (~always19(s228)) | always19(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s228, s229)) | (~always19(s228)) | always19(s229))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33547,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s228, s229)) | (~always19(s228)) | always19(s229))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33548,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s228, s229)) | (~always19(s228)) | always19(s229)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 9.89/7.56 tff(33549,plain,
% 9.89/7.56 ((~always19(s228)) | always19(s229)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33548, 28576, 18397])).
% 9.89/7.56 tff(33550,plain,
% 9.89/7.56 (~always19(s228)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33549, 33541])).
% 9.89/7.56 tff(33551,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s228) | (~node20(s228)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s228) | (~node20(s228)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33552,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s228) | (~node20(s228)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33553,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s228) | (~node20(s228))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 9.89/7.56 tff(33554,plain,
% 9.89/7.56 (~node20(s228)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33553, 32139, 33550])).
% 9.89/7.56 tff(33555,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state1(s227, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state1(s227, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33556,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state1(s227, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33557,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s227, c_n1)) | (~m_main_v_state1(s227, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 9.89/7.56 tff(33558,plain,
% 9.89/7.56 (~m_main_v_state1(s227, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33557, 10, 18325])).
% 9.89/7.56 tff(33559,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s227, c_t1) | (~node20(s227)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s227, c_t1) | (~node20(s227)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33560,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s227, c_t1) | (~node20(s227)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33561,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s227, c_t1) | (~node20(s227))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33560, 33559])).
% 9.89/7.56 tff(33562,plain,
% 9.89/7.56 (~node20(s227)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33561, 32116, 33558])).
% 9.89/7.56 tff(33563,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s226)) | (~m_main_v_state1(s226, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s226)) | (~m_main_v_state1(s226, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33564,plain,
% 9.89/7.56 (((~m_main_v_state1(s226, c_c1)) | (~always19(s226))) <=> ((~always19(s226)) | (~m_main_v_state1(s226, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33565,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s226, c_c1)) | (~always19(s226)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s226)) | (~m_main_v_state1(s226, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33564])).
% 9.89/7.56 tff(33566,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s226, c_c1)) | (~always19(s226)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s226)) | (~m_main_v_state1(s226, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33565, 33563])).
% 9.89/7.56 tff(33567,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s226, c_c1)) | (~always19(s226)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33568,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s226)) | (~m_main_v_state1(s226, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 9.89/7.56 tff(33569,plain,
% 9.89/7.56 (~always19(s226)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33568, 28559, 18243])).
% 9.89/7.56 tff(33570,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s225, s226)) | (~always19(s225)) | always19(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s225, s226)) | (~always19(s225)) | always19(s226))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33571,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s225, s226)) | (~always19(s225)) | always19(s226))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33572,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s225, s226)) | (~always19(s225)) | always19(s226)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 9.89/7.56 tff(33573,plain,
% 9.89/7.56 ((~always19(s225)) | always19(s226)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33572, 28576, 18159])).
% 9.89/7.56 tff(33574,plain,
% 9.89/7.56 (~always19(s225)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33573, 33569])).
% 9.89/7.56 tff(33575,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s225) | (~node20(s225)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s225) | (~node20(s225)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33576,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s225) | (~node20(s225)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33577,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s225) | (~node20(s225))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33576, 33575])).
% 9.89/7.56 tff(33578,plain,
% 9.89/7.56 (~node20(s225)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33577, 32139, 33574])).
% 9.89/7.56 tff(33579,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s224, s225)) | (~always19(s224)) | always19(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s224, s225)) | (~always19(s224)) | always19(s225))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33580,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s224, s225)) | (~always19(s224)) | always19(s225))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33581,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s224, s225)) | (~always19(s224)) | always19(s225)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33580, 33579])).
% 9.89/7.56 tff(33582,plain,
% 9.89/7.56 ((~always19(s224)) | always19(s225)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33581, 28576, 18092])).
% 9.89/7.56 tff(33583,plain,
% 9.89/7.56 (~always19(s224)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33582, 33574])).
% 9.89/7.56 tff(33584,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s224) | (~node20(s224)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s224) | (~node20(s224)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33585,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s224) | (~node20(s224)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33586,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s224) | (~node20(s224))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 9.89/7.56 tff(33587,plain,
% 9.89/7.56 (~node20(s224)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33586, 32139, 33583])).
% 9.89/7.56 tff(33588,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state1(s223, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state1(s223, c_t1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33589,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state1(s223, c_t1)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33590,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s223, c_n1)) | (~m_main_v_state1(s223, c_t1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 9.89/7.56 tff(33591,plain,
% 9.89/7.56 (~m_main_v_state1(s223, c_t1)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33590, 10, 17940])).
% 9.89/7.56 tff(33592,plain,
% 9.89/7.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s223, c_t1) | (~node20(s223)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s223, c_t1) | (~node20(s223)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33593,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s223, c_t1) | (~node20(s223)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33594,plain,
% 9.89/7.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s223, c_t1) | (~node20(s223))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33593, 33592])).
% 9.89/7.56 tff(33595,plain,
% 9.89/7.56 (~node20(s223)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33594, 32116, 33591])).
% 9.89/7.56 tff(33596,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s222)) | (~m_main_v_state1(s222, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s222)) | (~m_main_v_state1(s222, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33597,plain,
% 9.89/7.56 (((~m_main_v_state1(s222, c_c1)) | (~always19(s222))) <=> ((~always19(s222)) | (~m_main_v_state1(s222, c_c1)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33598,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s222, c_c1)) | (~always19(s222)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s222)) | (~m_main_v_state1(s222, c_c1))))),
% 9.89/7.56 inference(monotonicity,[status(thm)],[33597])).
% 9.89/7.56 tff(33599,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s222, c_c1)) | (~always19(s222)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s222)) | (~m_main_v_state1(s222, c_c1)))),
% 9.89/7.56 inference(transitivity,[status(thm)],[33598, 33596])).
% 9.89/7.56 tff(33600,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s222, c_c1)) | (~always19(s222)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33601,plain,
% 9.89/7.56 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s222)) | (~m_main_v_state1(s222, c_c1))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 9.89/7.56 tff(33602,plain,
% 9.89/7.56 (~always19(s222)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33601, 28559, 17876])).
% 9.89/7.56 tff(33603,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s221, s222)) | (~always19(s221)) | always19(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s221, s222)) | (~always19(s221)) | always19(s222))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33604,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s221, s222)) | (~always19(s221)) | always19(s222))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33605,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s221, s222)) | (~always19(s221)) | always19(s222)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 9.89/7.56 tff(33606,plain,
% 9.89/7.56 ((~always19(s221)) | always19(s222)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33605, 28576, 17864])).
% 9.89/7.56 tff(33607,plain,
% 9.89/7.56 (~always19(s221)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33606, 33602])).
% 9.89/7.56 tff(33608,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s221) | (~node20(s221)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s221) | (~node20(s221)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33609,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s221) | (~node20(s221)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33610,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s221) | (~node20(s221))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33609, 33608])).
% 9.89/7.56 tff(33611,plain,
% 9.89/7.56 (~node20(s221)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33610, 32139, 33607])).
% 9.89/7.56 tff(33612,plain,
% 9.89/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s220, s221)) | (~always19(s220)) | always19(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s220, s221)) | (~always19(s220)) | always19(s221))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33613,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s220, s221)) | (~always19(s220)) | always19(s221))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33614,plain,
% 9.89/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s220, s221)) | (~always19(s220)) | always19(s221)),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33613, 33612])).
% 9.89/7.56 tff(33615,plain,
% 9.89/7.56 ((~always19(s220)) | always19(s221)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33614, 28576, 17769])).
% 9.89/7.56 tff(33616,plain,
% 9.89/7.56 (~always19(s220)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33615, 33607])).
% 9.89/7.56 tff(33617,plain,
% 9.89/7.56 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s220) | (~node20(s220)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s220) | (~node20(s220)))),
% 9.89/7.56 inference(rewrite,[status(thm)],[])).
% 9.89/7.56 tff(33618,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s220) | (~node20(s220)))),
% 9.89/7.56 inference(quant_inst,[status(thm)],[])).
% 9.89/7.56 tff(33619,plain,
% 9.89/7.56 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s220) | (~node20(s220))),
% 9.89/7.56 inference(modus_ponens,[status(thm)],[33618, 33617])).
% 9.89/7.56 tff(33620,plain,
% 9.89/7.56 (~node20(s220)),
% 9.89/7.56 inference(unit_resolution,[status(thm)],[33619, 32139, 33616])).
% 9.89/7.56 tff(33621,plain,
% 9.89/7.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state1(s219, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state1(s219, c_t1)))),
% 9.89/7.57 inference(rewrite,[status(thm)],[])).
% 9.89/7.57 tff(33622,plain,
% 9.89/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state1(s219, c_t1)))),
% 9.89/7.57 inference(quant_inst,[status(thm)],[])).
% 9.89/7.57 tff(33623,plain,
% 9.89/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s219, c_n1)) | (~m_main_v_state1(s219, c_t1))),
% 9.89/7.57 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 9.89/7.57 tff(33624,plain,
% 9.89/7.57 (~m_main_v_state1(s219, c_t1)),
% 9.89/7.57 inference(unit_resolution,[status(thm)],[33623, 10, 17697])).
% 9.89/7.57 tff(33625,plain,
% 9.89/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s219, c_t1) | (~node20(s219)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s219, c_t1) | (~node20(s219)))),
% 9.89/7.57 inference(rewrite,[status(thm)],[])).
% 9.89/7.57 tff(33626,plain,
% 9.89/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s219, c_t1) | (~node20(s219)))),
% 9.89/7.57 inference(quant_inst,[status(thm)],[])).
% 9.89/7.57 tff(33627,plain,
% 9.89/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s219, c_t1) | (~node20(s219))),
% 9.89/7.57 inference(modus_ponens,[status(thm)],[33626, 33625])).
% 9.89/7.57 tff(33628,plain,
% 9.89/7.57 (~node20(s219)),
% 9.89/7.57 inference(unit_resolution,[status(thm)],[33627, 32116, 33624])).
% 9.89/7.57 tff(33629,plain,
% 9.89/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s218)) | (~m_main_v_state1(s218, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s218)) | (~m_main_v_state1(s218, c_c1)))),
% 9.89/7.57 inference(rewrite,[status(thm)],[])).
% 9.89/7.57 tff(33630,plain,
% 9.89/7.57 (((~m_main_v_state1(s218, c_c1)) | (~always19(s218))) <=> ((~always19(s218)) | (~m_main_v_state1(s218, c_c1)))),
% 9.89/7.57 inference(rewrite,[status(thm)],[])).
% 9.89/7.57 tff(33631,plain,
% 9.89/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s218, c_c1)) | (~always19(s218)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s218)) | (~m_main_v_state1(s218, c_c1))))),
% 9.89/7.57 inference(monotonicity,[status(thm)],[33630])).
% 9.89/7.57 tff(33632,plain,
% 9.89/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s218, c_c1)) | (~always19(s218)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s218)) | (~m_main_v_state1(s218, c_c1)))),
% 9.89/7.57 inference(transitivity,[status(thm)],[33631, 33629])).
% 9.89/7.57 tff(33633,plain,
% 9.89/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s218, c_c1)) | (~always19(s218)))),
% 9.89/7.57 inference(quant_inst,[status(thm)],[])).
% 9.89/7.57 tff(33634,plain,
% 9.89/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s218)) | (~m_main_v_state1(s218, c_c1))),
% 9.89/7.57 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 9.89/7.57 tff(33635,plain,
% 9.89/7.57 (~always19(s218)),
% 9.89/7.57 inference(unit_resolution,[status(thm)],[33634, 28559, 17615])).
% 9.89/7.57 tff(33636,plain,
% 9.89/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s217, s218)) | (~always19(s217)) | always19(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s217, s218)) | (~always19(s217)) | always19(s218))),
% 9.89/7.57 inference(rewrite,[status(thm)],[])).
% 9.89/7.57 tff(33637,plain,
% 9.89/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s217, s218)) | (~always19(s217)) | always19(s218))),
% 9.89/7.57 inference(quant_inst,[status(thm)],[])).
% 9.89/7.57 tff(33638,plain,
% 9.89/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s217, s218)) | (~always19(s217)) | always19(s218)),
% 9.89/7.57 inference(modus_ponens,[status(thm)],[33637, 33636])).
% 9.89/7.57 tff(33639,plain,
% 9.89/7.57 ((~always19(s217)) | always19(s218)),
% 9.89/7.57 inference(unit_resolution,[status(thm)],[33638, 28576, 17531])).
% 9.89/7.57 tff(33640,plain,
% 9.89/7.57 (~always19(s217)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33639, 33635])).
% 9.94/7.57 tff(33641,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s217) | (~node20(s217)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s217) | (~node20(s217)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33642,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s217) | (~node20(s217)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33643,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s217) | (~node20(s217))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 9.94/7.57 tff(33644,plain,
% 9.94/7.57 (~node20(s217)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33643, 32139, 33640])).
% 9.94/7.57 tff(33645,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s216, s217)) | (~always19(s216)) | always19(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s216, s217)) | (~always19(s216)) | always19(s217))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33646,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s216, s217)) | (~always19(s216)) | always19(s217))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33647,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s216, s217)) | (~always19(s216)) | always19(s217)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33646, 33645])).
% 9.94/7.57 tff(33648,plain,
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% 9.94/7.57 inference(unit_resolution,[status(thm)],[33647, 28576, 17464])).
% 9.94/7.57 tff(33649,plain,
% 9.94/7.57 (~always19(s216)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33648, 33640])).
% 9.94/7.57 tff(33650,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s216) | (~node20(s216)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s216) | (~node20(s216)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33651,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s216) | (~node20(s216)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33652,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s216) | (~node20(s216))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 9.94/7.57 tff(33653,plain,
% 9.94/7.57 (~node20(s216)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33652, 32139, 33649])).
% 9.94/7.57 tff(33654,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state1(s215, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state1(s215, c_t1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33655,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state1(s215, c_t1)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33656,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s215, c_n1)) | (~m_main_v_state1(s215, c_t1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 9.94/7.57 tff(33657,plain,
% 9.94/7.57 (~m_main_v_state1(s215, c_t1)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33656, 10, 17312])).
% 9.94/7.57 tff(33658,plain,
% 9.94/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s215, c_t1) | (~node20(s215)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s215, c_t1) | (~node20(s215)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33659,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s215, c_t1) | (~node20(s215)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33660,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s215, c_t1) | (~node20(s215))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 9.94/7.57 tff(33661,plain,
% 9.94/7.57 (~node20(s215)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33660, 32116, 33657])).
% 9.94/7.57 tff(33662,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s214)) | (~m_main_v_state1(s214, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s214)) | (~m_main_v_state1(s214, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33663,plain,
% 9.94/7.57 (((~m_main_v_state1(s214, c_c1)) | (~always19(s214))) <=> ((~always19(s214)) | (~m_main_v_state1(s214, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33664,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s214, c_c1)) | (~always19(s214)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s214)) | (~m_main_v_state1(s214, c_c1))))),
% 9.94/7.57 inference(monotonicity,[status(thm)],[33663])).
% 9.94/7.57 tff(33665,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s214, c_c1)) | (~always19(s214)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s214)) | (~m_main_v_state1(s214, c_c1)))),
% 9.94/7.57 inference(transitivity,[status(thm)],[33664, 33662])).
% 9.94/7.57 tff(33666,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s214, c_c1)) | (~always19(s214)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33667,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s214)) | (~m_main_v_state1(s214, c_c1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33666, 33665])).
% 9.94/7.57 tff(33668,plain,
% 9.94/7.57 (~always19(s214)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33667, 28559, 17248])).
% 9.94/7.57 tff(33669,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s213, s214)) | (~always19(s213)) | always19(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s213, s214)) | (~always19(s213)) | always19(s214))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33670,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s213, s214)) | (~always19(s213)) | always19(s214))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33671,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s213, s214)) | (~always19(s213)) | always19(s214)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33670, 33669])).
% 9.94/7.57 tff(33672,plain,
% 9.94/7.57 ((~always19(s213)) | always19(s214)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33671, 28576, 17236])).
% 9.94/7.57 tff(33673,plain,
% 9.94/7.57 (~always19(s213)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33672, 33668])).
% 9.94/7.57 tff(33674,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s213) | (~node20(s213)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s213) | (~node20(s213)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33675,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s213) | (~node20(s213)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33676,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s213) | (~node20(s213))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33675, 33674])).
% 9.94/7.57 tff(33677,plain,
% 9.94/7.57 (~node20(s213)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33676, 32139, 33673])).
% 9.94/7.57 tff(33678,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s212, s213)) | (~always19(s212)) | always19(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s212, s213)) | (~always19(s212)) | always19(s213))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33679,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s212, s213)) | (~always19(s212)) | always19(s213))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33680,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s212, s213)) | (~always19(s212)) | always19(s213)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33679, 33678])).
% 9.94/7.57 tff(33681,plain,
% 9.94/7.57 ((~always19(s212)) | always19(s213)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33680, 28576, 17141])).
% 9.94/7.57 tff(33682,plain,
% 9.94/7.57 (~always19(s212)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33681, 33673])).
% 9.94/7.57 tff(33683,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s212) | (~node20(s212)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s212) | (~node20(s212)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33684,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s212) | (~node20(s212)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33685,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s212) | (~node20(s212))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 9.94/7.57 tff(33686,plain,
% 9.94/7.57 (~node20(s212)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33685, 32139, 33682])).
% 9.94/7.57 tff(33687,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state1(s211, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state1(s211, c_t1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33688,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state1(s211, c_t1)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33689,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s211, c_n1)) | (~m_main_v_state1(s211, c_t1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 9.94/7.57 tff(33690,plain,
% 9.94/7.57 (~m_main_v_state1(s211, c_t1)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33689, 10, 17069])).
% 9.94/7.57 tff(33691,plain,
% 9.94/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s211, c_t1) | (~node20(s211)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s211, c_t1) | (~node20(s211)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33692,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s211, c_t1) | (~node20(s211)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33693,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s211, c_t1) | (~node20(s211))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33692, 33691])).
% 9.94/7.57 tff(33694,plain,
% 9.94/7.57 (~node20(s211)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33693, 32116, 33690])).
% 9.94/7.57 tff(33695,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s210)) | (~m_main_v_state1(s210, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s210)) | (~m_main_v_state1(s210, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33696,plain,
% 9.94/7.57 (((~m_main_v_state1(s210, c_c1)) | (~always19(s210))) <=> ((~always19(s210)) | (~m_main_v_state1(s210, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33697,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s210, c_c1)) | (~always19(s210)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s210)) | (~m_main_v_state1(s210, c_c1))))),
% 9.94/7.57 inference(monotonicity,[status(thm)],[33696])).
% 9.94/7.57 tff(33698,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s210, c_c1)) | (~always19(s210)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s210)) | (~m_main_v_state1(s210, c_c1)))),
% 9.94/7.57 inference(transitivity,[status(thm)],[33697, 33695])).
% 9.94/7.57 tff(33699,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s210, c_c1)) | (~always19(s210)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33700,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s210)) | (~m_main_v_state1(s210, c_c1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 9.94/7.57 tff(33701,plain,
% 9.94/7.57 (~always19(s210)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33700, 28559, 16987])).
% 9.94/7.57 tff(33702,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s209, s210)) | (~always19(s209)) | always19(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s209, s210)) | (~always19(s209)) | always19(s210))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33703,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s209, s210)) | (~always19(s209)) | always19(s210))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33704,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s209, s210)) | (~always19(s209)) | always19(s210)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 9.94/7.57 tff(33705,plain,
% 9.94/7.57 ((~always19(s209)) | always19(s210)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33704, 28576, 16903])).
% 9.94/7.57 tff(33706,plain,
% 9.94/7.57 (~always19(s209)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33705, 33701])).
% 9.94/7.57 tff(33707,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s209) | (~node20(s209)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s209) | (~node20(s209)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33708,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s209) | (~node20(s209)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33709,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s209) | (~node20(s209))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 9.94/7.57 tff(33710,plain,
% 9.94/7.57 (~node20(s209)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33709, 32139, 33706])).
% 9.94/7.57 tff(33711,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s208, s209)) | (~always19(s208)) | always19(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s208, s209)) | (~always19(s208)) | always19(s209))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33712,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s208, s209)) | (~always19(s208)) | always19(s209))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33713,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s208, s209)) | (~always19(s208)) | always19(s209)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 9.94/7.57 tff(33714,plain,
% 9.94/7.57 ((~always19(s208)) | always19(s209)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33713, 28576, 16836])).
% 9.94/7.57 tff(33715,plain,
% 9.94/7.57 (~always19(s208)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33714, 33706])).
% 9.94/7.57 tff(33716,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s208) | (~node20(s208)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s208) | (~node20(s208)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33717,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s208) | (~node20(s208)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33718,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s208) | (~node20(s208))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33717, 33716])).
% 9.94/7.57 tff(33719,plain,
% 9.94/7.57 (~node20(s208)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33718, 32139, 33715])).
% 9.94/7.57 tff(33720,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state1(s207, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state1(s207, c_t1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33721,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state1(s207, c_t1)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33722,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s207, c_n1)) | (~m_main_v_state1(s207, c_t1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33721, 33720])).
% 9.94/7.57 tff(33723,plain,
% 9.94/7.57 (~m_main_v_state1(s207, c_t1)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33722, 10, 16684])).
% 9.94/7.57 tff(33724,plain,
% 9.94/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s207, c_t1) | (~node20(s207)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s207, c_t1) | (~node20(s207)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33725,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s207, c_t1) | (~node20(s207)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33726,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s207, c_t1) | (~node20(s207))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33725, 33724])).
% 9.94/7.57 tff(33727,plain,
% 9.94/7.57 (~node20(s207)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33726, 32116, 33723])).
% 9.94/7.57 tff(33728,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s206)) | (~m_main_v_state1(s206, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s206)) | (~m_main_v_state1(s206, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33729,plain,
% 9.94/7.57 (((~m_main_v_state1(s206, c_c1)) | (~always19(s206))) <=> ((~always19(s206)) | (~m_main_v_state1(s206, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33730,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s206, c_c1)) | (~always19(s206)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s206)) | (~m_main_v_state1(s206, c_c1))))),
% 9.94/7.57 inference(monotonicity,[status(thm)],[33729])).
% 9.94/7.57 tff(33731,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s206, c_c1)) | (~always19(s206)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s206)) | (~m_main_v_state1(s206, c_c1)))),
% 9.94/7.57 inference(transitivity,[status(thm)],[33730, 33728])).
% 9.94/7.57 tff(33732,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s206, c_c1)) | (~always19(s206)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33733,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s206)) | (~m_main_v_state1(s206, c_c1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 9.94/7.57 tff(33734,plain,
% 9.94/7.57 (~always19(s206)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33733, 28559, 16620])).
% 9.94/7.57 tff(33735,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s205, s206)) | (~always19(s205)) | always19(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s205, s206)) | (~always19(s205)) | always19(s206))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33736,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s205, s206)) | (~always19(s205)) | always19(s206))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33737,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s205, s206)) | (~always19(s205)) | always19(s206)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 9.94/7.57 tff(33738,plain,
% 9.94/7.57 ((~always19(s205)) | always19(s206)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33737, 28576, 16608])).
% 9.94/7.57 tff(33739,plain,
% 9.94/7.57 (~always19(s205)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33738, 33734])).
% 9.94/7.57 tff(33740,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s205) | (~node20(s205)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s205) | (~node20(s205)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33741,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s205) | (~node20(s205)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33742,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s205) | (~node20(s205))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33741, 33740])).
% 9.94/7.57 tff(33743,plain,
% 9.94/7.57 (~node20(s205)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33742, 32139, 33739])).
% 9.94/7.57 tff(33744,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s204, s205)) | (~always19(s204)) | always19(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s204, s205)) | (~always19(s204)) | always19(s205))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33745,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s204, s205)) | (~always19(s204)) | always19(s205))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33746,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s204, s205)) | (~always19(s204)) | always19(s205)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33745, 33744])).
% 9.94/7.57 tff(33747,plain,
% 9.94/7.57 ((~always19(s204)) | always19(s205)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33746, 28576, 16513])).
% 9.94/7.57 tff(33748,plain,
% 9.94/7.57 (~always19(s204)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33747, 33739])).
% 9.94/7.57 tff(33749,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s204) | (~node20(s204)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s204) | (~node20(s204)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33750,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s204) | (~node20(s204)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33751,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s204) | (~node20(s204))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 9.94/7.57 tff(33752,plain,
% 9.94/7.57 (~node20(s204)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33751, 32139, 33748])).
% 9.94/7.57 tff(33753,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state1(s203, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state1(s203, c_t1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33754,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state1(s203, c_t1)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33755,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state1(s203, c_t1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 9.94/7.57 tff(33756,plain,
% 9.94/7.57 (~m_main_v_state1(s203, c_t1)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33755, 10, 16441])).
% 9.94/7.57 tff(33757,plain,
% 9.94/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s203, c_t1) | (~node20(s203)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s203, c_t1) | (~node20(s203)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33758,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s203, c_t1) | (~node20(s203)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33759,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s203, c_t1) | (~node20(s203))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33758, 33757])).
% 9.94/7.57 tff(33760,plain,
% 9.94/7.57 (~node20(s203)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33759, 32116, 33756])).
% 9.94/7.57 tff(33761,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s202)) | (~m_main_v_state1(s202, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s202)) | (~m_main_v_state1(s202, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33762,plain,
% 9.94/7.57 (((~m_main_v_state1(s202, c_c1)) | (~always19(s202))) <=> ((~always19(s202)) | (~m_main_v_state1(s202, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33763,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s202, c_c1)) | (~always19(s202)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s202)) | (~m_main_v_state1(s202, c_c1))))),
% 9.94/7.57 inference(monotonicity,[status(thm)],[33762])).
% 9.94/7.57 tff(33764,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s202, c_c1)) | (~always19(s202)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s202)) | (~m_main_v_state1(s202, c_c1)))),
% 9.94/7.57 inference(transitivity,[status(thm)],[33763, 33761])).
% 9.94/7.57 tff(33765,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s202, c_c1)) | (~always19(s202)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33766,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s202)) | (~m_main_v_state1(s202, c_c1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 9.94/7.57 tff(33767,plain,
% 9.94/7.57 (~always19(s202)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33766, 28559, 16359])).
% 9.94/7.57 tff(33768,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s201, s202)) | (~always19(s201)) | always19(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s201, s202)) | (~always19(s201)) | always19(s202))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33769,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s201, s202)) | (~always19(s201)) | always19(s202))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33770,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s201, s202)) | (~always19(s201)) | always19(s202)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 9.94/7.57 tff(33771,plain,
% 9.94/7.57 ((~always19(s201)) | always19(s202)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33770, 28576, 16275])).
% 9.94/7.57 tff(33772,plain,
% 9.94/7.57 (~always19(s201)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33771, 33767])).
% 9.94/7.57 tff(33773,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s201) | (~node20(s201)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s201) | (~node20(s201)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33774,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s201) | (~node20(s201)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33775,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s201) | (~node20(s201))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33774, 33773])).
% 9.94/7.57 tff(33776,plain,
% 9.94/7.57 (~node20(s201)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33775, 32139, 33772])).
% 9.94/7.57 tff(33777,plain,
% 9.94/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s200, s201)) | (~always19(s200)) | always19(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s200, s201)) | (~always19(s200)) | always19(s201))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33778,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s200, s201)) | (~always19(s200)) | always19(s201))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33779,plain,
% 9.94/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s200, s201)) | (~always19(s200)) | always19(s201)),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33778, 33777])).
% 9.94/7.57 tff(33780,plain,
% 9.94/7.57 ((~always19(s200)) | always19(s201)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33779, 28576, 16208])).
% 9.94/7.57 tff(33781,plain,
% 9.94/7.57 (~always19(s200)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33780, 33772])).
% 9.94/7.57 tff(33782,plain,
% 9.94/7.57 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s200) | (~node20(s200)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s200) | (~node20(s200)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33783,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s200) | (~node20(s200)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33784,plain,
% 9.94/7.57 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s200) | (~node20(s200))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33783, 33782])).
% 9.94/7.57 tff(33785,plain,
% 9.94/7.57 (~node20(s200)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33784, 32139, 33781])).
% 9.94/7.57 tff(33786,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state1(s199, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state1(s199, c_t1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33787,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state1(s199, c_t1)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33788,plain,
% 9.94/7.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state1(s199, c_t1))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33787, 33786])).
% 9.94/7.57 tff(33789,plain,
% 9.94/7.57 (~m_main_v_state1(s199, c_t1)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33788, 10, 16056])).
% 9.94/7.57 tff(33790,plain,
% 9.94/7.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s199, c_t1) | (~node20(s199)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s199, c_t1) | (~node20(s199)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33791,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s199, c_t1) | (~node20(s199)))),
% 9.94/7.57 inference(quant_inst,[status(thm)],[])).
% 9.94/7.57 tff(33792,plain,
% 9.94/7.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s199, c_t1) | (~node20(s199))),
% 9.94/7.57 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 9.94/7.57 tff(33793,plain,
% 9.94/7.57 (~node20(s199)),
% 9.94/7.57 inference(unit_resolution,[status(thm)],[33792, 32116, 33789])).
% 9.94/7.57 tff(33794,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s198)) | (~m_main_v_state1(s198, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s198)) | (~m_main_v_state1(s198, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33795,plain,
% 9.94/7.57 (((~m_main_v_state1(s198, c_c1)) | (~always19(s198))) <=> ((~always19(s198)) | (~m_main_v_state1(s198, c_c1)))),
% 9.94/7.57 inference(rewrite,[status(thm)],[])).
% 9.94/7.57 tff(33796,plain,
% 9.94/7.57 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s198, c_c1)) | (~always19(s198)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s198)) | (~m_main_v_state1(s198, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33795])).
% 9.94/7.58 tff(33797,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s198, c_c1)) | (~always19(s198)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s198)) | (~m_main_v_state1(s198, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33796, 33794])).
% 9.94/7.58 tff(33798,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s198, c_c1)) | (~always19(s198)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33799,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s198)) | (~m_main_v_state1(s198, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 9.94/7.58 tff(33800,plain,
% 9.94/7.58 (~always19(s198)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33799, 28559, 15992])).
% 9.94/7.58 tff(33801,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s197, s198)) | (~always19(s197)) | always19(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s197, s198)) | (~always19(s197)) | always19(s198))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33802,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s197, s198)) | (~always19(s197)) | always19(s198))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33803,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s197, s198)) | (~always19(s197)) | always19(s198)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33802, 33801])).
% 9.94/7.58 tff(33804,plain,
% 9.94/7.58 ((~always19(s197)) | always19(s198)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33803, 28576, 15980])).
% 9.94/7.58 tff(33805,plain,
% 9.94/7.58 (~always19(s197)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33804, 33800])).
% 9.94/7.58 tff(33806,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s197) | (~node20(s197)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s197) | (~node20(s197)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33807,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s197) | (~node20(s197)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33808,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s197) | (~node20(s197))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33807, 33806])).
% 9.94/7.58 tff(33809,plain,
% 9.94/7.58 (~node20(s197)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33808, 32139, 33805])).
% 9.94/7.58 tff(33810,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s196, s197)) | (~always19(s196)) | always19(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s196, s197)) | (~always19(s196)) | always19(s197))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33811,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s196, s197)) | (~always19(s196)) | always19(s197))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33812,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s196, s197)) | (~always19(s196)) | always19(s197)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33811, 33810])).
% 9.94/7.58 tff(33813,plain,
% 9.94/7.58 ((~always19(s196)) | always19(s197)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33812, 28576, 15885])).
% 9.94/7.58 tff(33814,plain,
% 9.94/7.58 (~always19(s196)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33813, 33805])).
% 9.94/7.58 tff(33815,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s196) | (~node20(s196)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s196) | (~node20(s196)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33816,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s196) | (~node20(s196)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33817,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s196) | (~node20(s196))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 9.94/7.58 tff(33818,plain,
% 9.94/7.58 (~node20(s196)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33817, 32139, 33814])).
% 9.94/7.58 tff(33819,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state1(s195, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state1(s195, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33820,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state1(s195, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33821,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state1(s195, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 9.94/7.58 tff(33822,plain,
% 9.94/7.58 (~m_main_v_state1(s195, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33821, 10, 15813])).
% 9.94/7.58 tff(33823,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s195, c_t1) | (~node20(s195)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s195, c_t1) | (~node20(s195)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33824,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s195, c_t1) | (~node20(s195)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33825,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s195, c_t1) | (~node20(s195))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 9.94/7.58 tff(33826,plain,
% 9.94/7.58 (~node20(s195)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33825, 32116, 33822])).
% 9.94/7.58 tff(33827,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s194)) | (~m_main_v_state1(s194, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s194)) | (~m_main_v_state1(s194, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33828,plain,
% 9.94/7.58 (((~m_main_v_state1(s194, c_c1)) | (~always19(s194))) <=> ((~always19(s194)) | (~m_main_v_state1(s194, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33829,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s194, c_c1)) | (~always19(s194)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s194)) | (~m_main_v_state1(s194, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33828])).
% 9.94/7.58 tff(33830,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s194, c_c1)) | (~always19(s194)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s194)) | (~m_main_v_state1(s194, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33829, 33827])).
% 9.94/7.58 tff(33831,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s194, c_c1)) | (~always19(s194)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33832,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s194)) | (~m_main_v_state1(s194, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33831, 33830])).
% 9.94/7.58 tff(33833,plain,
% 9.94/7.58 (~always19(s194)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33832, 28559, 15731])).
% 9.94/7.58 tff(33834,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s193, s194)) | (~always19(s193)) | always19(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s193, s194)) | (~always19(s193)) | always19(s194))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33835,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s193, s194)) | (~always19(s193)) | always19(s194))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33836,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s193, s194)) | (~always19(s193)) | always19(s194)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33835, 33834])).
% 9.94/7.58 tff(33837,plain,
% 9.94/7.58 ((~always19(s193)) | always19(s194)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33836, 28576, 15647])).
% 9.94/7.58 tff(33838,plain,
% 9.94/7.58 (~always19(s193)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33837, 33833])).
% 9.94/7.58 tff(33839,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s193) | (~node20(s193)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s193) | (~node20(s193)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33840,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s193) | (~node20(s193)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33841,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s193) | (~node20(s193))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33840, 33839])).
% 9.94/7.58 tff(33842,plain,
% 9.94/7.58 (~node20(s193)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33841, 32139, 33838])).
% 9.94/7.58 tff(33843,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s192, s193)) | (~always19(s192)) | always19(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s192, s193)) | (~always19(s192)) | always19(s193))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33844,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s192, s193)) | (~always19(s192)) | always19(s193))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33845,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s192, s193)) | (~always19(s192)) | always19(s193)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33844, 33843])).
% 9.94/7.58 tff(33846,plain,
% 9.94/7.58 ((~always19(s192)) | always19(s193)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33845, 28576, 15580])).
% 9.94/7.58 tff(33847,plain,
% 9.94/7.58 (~always19(s192)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33846, 33838])).
% 9.94/7.58 tff(33848,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s192) | (~node20(s192)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s192) | (~node20(s192)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33849,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s192) | (~node20(s192)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33850,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s192) | (~node20(s192))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 9.94/7.58 tff(33851,plain,
% 9.94/7.58 (~node20(s192)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33850, 32139, 33847])).
% 9.94/7.58 tff(33852,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state1(s191, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state1(s191, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33853,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state1(s191, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33854,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state1(s191, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 9.94/7.58 tff(33855,plain,
% 9.94/7.58 (~m_main_v_state1(s191, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33854, 10, 15428])).
% 9.94/7.58 tff(33856,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s191, c_t1) | (~node20(s191)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s191, c_t1) | (~node20(s191)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33857,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s191, c_t1) | (~node20(s191)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33858,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s191, c_t1) | (~node20(s191))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33857, 33856])).
% 9.94/7.58 tff(33859,plain,
% 9.94/7.58 (~node20(s191)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33858, 32116, 33855])).
% 9.94/7.58 tff(33860,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s190)) | (~m_main_v_state1(s190, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s190)) | (~m_main_v_state1(s190, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33861,plain,
% 9.94/7.58 (((~m_main_v_state1(s190, c_c1)) | (~always19(s190))) <=> ((~always19(s190)) | (~m_main_v_state1(s190, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33862,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s190, c_c1)) | (~always19(s190)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s190)) | (~m_main_v_state1(s190, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33861])).
% 9.94/7.58 tff(33863,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s190, c_c1)) | (~always19(s190)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s190)) | (~m_main_v_state1(s190, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33862, 33860])).
% 9.94/7.58 tff(33864,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s190, c_c1)) | (~always19(s190)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33865,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s190)) | (~m_main_v_state1(s190, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33864, 33863])).
% 9.94/7.58 tff(33866,plain,
% 9.94/7.58 (~always19(s190)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33865, 28559, 15364])).
% 9.94/7.58 tff(33867,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s189, s190)) | (~always19(s189)) | always19(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s189, s190)) | (~always19(s189)) | always19(s190))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33868,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s189, s190)) | (~always19(s189)) | always19(s190))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33869,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s189, s190)) | (~always19(s189)) | always19(s190)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 9.94/7.58 tff(33870,plain,
% 9.94/7.58 ((~always19(s189)) | always19(s190)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33869, 28576, 15352])).
% 9.94/7.58 tff(33871,plain,
% 9.94/7.58 (~always19(s189)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33870, 33866])).
% 9.94/7.58 tff(33872,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s189) | (~node20(s189)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s189) | (~node20(s189)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33873,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s189) | (~node20(s189)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33874,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s189) | (~node20(s189))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33873, 33872])).
% 9.94/7.58 tff(33875,plain,
% 9.94/7.58 (~node20(s189)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33874, 32139, 33871])).
% 9.94/7.58 tff(33876,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s188, s189)) | (~always19(s188)) | always19(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s188, s189)) | (~always19(s188)) | always19(s189))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33877,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s188, s189)) | (~always19(s188)) | always19(s189))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33878,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s188, s189)) | (~always19(s188)) | always19(s189)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33877, 33876])).
% 9.94/7.58 tff(33879,plain,
% 9.94/7.58 ((~always19(s188)) | always19(s189)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33878, 28576, 15257])).
% 9.94/7.58 tff(33880,plain,
% 9.94/7.58 (~always19(s188)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33879, 33871])).
% 9.94/7.58 tff(33881,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s188) | (~node20(s188)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s188) | (~node20(s188)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33882,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s188) | (~node20(s188)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33883,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s188) | (~node20(s188))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33882, 33881])).
% 9.94/7.58 tff(33884,plain,
% 9.94/7.58 (~node20(s188)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33883, 32139, 33880])).
% 9.94/7.58 tff(33885,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state1(s187, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state1(s187, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33886,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state1(s187, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33887,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state1(s187, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33886, 33885])).
% 9.94/7.58 tff(33888,plain,
% 9.94/7.58 (~m_main_v_state1(s187, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33887, 10, 15185])).
% 9.94/7.58 tff(33889,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s187, c_t1) | (~node20(s187)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s187, c_t1) | (~node20(s187)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33890,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s187, c_t1) | (~node20(s187)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33891,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s187, c_t1) | (~node20(s187))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33890, 33889])).
% 9.94/7.58 tff(33892,plain,
% 9.94/7.58 (~node20(s187)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33891, 32116, 33888])).
% 9.94/7.58 tff(33893,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s186)) | (~m_main_v_state1(s186, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s186)) | (~m_main_v_state1(s186, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33894,plain,
% 9.94/7.58 (((~m_main_v_state1(s186, c_c1)) | (~always19(s186))) <=> ((~always19(s186)) | (~m_main_v_state1(s186, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33895,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s186, c_c1)) | (~always19(s186)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s186)) | (~m_main_v_state1(s186, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33894])).
% 9.94/7.58 tff(33896,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s186, c_c1)) | (~always19(s186)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s186)) | (~m_main_v_state1(s186, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33895, 33893])).
% 9.94/7.58 tff(33897,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s186, c_c1)) | (~always19(s186)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33898,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s186)) | (~m_main_v_state1(s186, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 9.94/7.58 tff(33899,plain,
% 9.94/7.58 (~always19(s186)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33898, 28559, 15103])).
% 9.94/7.58 tff(33900,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s185, s186)) | (~always19(s185)) | always19(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s185, s186)) | (~always19(s185)) | always19(s186))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33901,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s185, s186)) | (~always19(s185)) | always19(s186))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33902,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s185, s186)) | (~always19(s185)) | always19(s186)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33901, 33900])).
% 9.94/7.58 tff(33903,plain,
% 9.94/7.58 ((~always19(s185)) | always19(s186)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33902, 28576, 15019])).
% 9.94/7.58 tff(33904,plain,
% 9.94/7.58 (~always19(s185)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33903, 33899])).
% 9.94/7.58 tff(33905,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s185) | (~node20(s185)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s185) | (~node20(s185)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33906,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s185) | (~node20(s185)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33907,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s185) | (~node20(s185))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 9.94/7.58 tff(33908,plain,
% 9.94/7.58 (~node20(s185)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33907, 32139, 33904])).
% 9.94/7.58 tff(33909,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s184, s185)) | (~always19(s184)) | always19(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s184, s185)) | (~always19(s184)) | always19(s185))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33910,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s184, s185)) | (~always19(s184)) | always19(s185))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33911,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s184, s185)) | (~always19(s184)) | always19(s185)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 9.94/7.58 tff(33912,plain,
% 9.94/7.58 ((~always19(s184)) | always19(s185)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33911, 28576, 14952])).
% 9.94/7.58 tff(33913,plain,
% 9.94/7.58 (~always19(s184)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33912, 33904])).
% 9.94/7.58 tff(33914,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s184) | (~node20(s184)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s184) | (~node20(s184)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33915,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s184) | (~node20(s184)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33916,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s184) | (~node20(s184))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33915, 33914])).
% 9.94/7.58 tff(33917,plain,
% 9.94/7.58 (~node20(s184)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33916, 32139, 33913])).
% 9.94/7.58 tff(33918,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state1(s183, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state1(s183, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33919,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state1(s183, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33920,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state1(s183, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 9.94/7.58 tff(33921,plain,
% 9.94/7.58 (~m_main_v_state1(s183, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33920, 10, 14800])).
% 9.94/7.58 tff(33922,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s183, c_t1) | (~node20(s183)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s183, c_t1) | (~node20(s183)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33923,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s183, c_t1) | (~node20(s183)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33924,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s183, c_t1) | (~node20(s183))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 9.94/7.58 tff(33925,plain,
% 9.94/7.58 (~node20(s183)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33924, 32116, 33921])).
% 9.94/7.58 tff(33926,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s182)) | (~m_main_v_state1(s182, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s182)) | (~m_main_v_state1(s182, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33927,plain,
% 9.94/7.58 (((~m_main_v_state1(s182, c_c1)) | (~always19(s182))) <=> ((~always19(s182)) | (~m_main_v_state1(s182, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33928,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s182, c_c1)) | (~always19(s182)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s182)) | (~m_main_v_state1(s182, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33927])).
% 9.94/7.58 tff(33929,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s182, c_c1)) | (~always19(s182)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s182)) | (~m_main_v_state1(s182, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33928, 33926])).
% 9.94/7.58 tff(33930,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s182, c_c1)) | (~always19(s182)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33931,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s182)) | (~m_main_v_state1(s182, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33930, 33929])).
% 9.94/7.58 tff(33932,plain,
% 9.94/7.58 (~always19(s182)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33931, 28559, 14736])).
% 9.94/7.58 tff(33933,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s181, s182)) | (~always19(s181)) | always19(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s181, s182)) | (~always19(s181)) | always19(s182))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33934,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s181, s182)) | (~always19(s181)) | always19(s182))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33935,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s181, s182)) | (~always19(s181)) | always19(s182)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33934, 33933])).
% 9.94/7.58 tff(33936,plain,
% 9.94/7.58 ((~always19(s181)) | always19(s182)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33935, 28576, 14724])).
% 9.94/7.58 tff(33937,plain,
% 9.94/7.58 (~always19(s181)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33936, 33932])).
% 9.94/7.58 tff(33938,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s181) | (~node20(s181)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s181) | (~node20(s181)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33939,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s181) | (~node20(s181)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33940,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s181) | (~node20(s181))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33939, 33938])).
% 9.94/7.58 tff(33941,plain,
% 9.94/7.58 (~node20(s181)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33940, 32139, 33937])).
% 9.94/7.58 tff(33942,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s180, s181)) | (~always19(s180)) | always19(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s180, s181)) | (~always19(s180)) | always19(s181))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33943,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s180, s181)) | (~always19(s180)) | always19(s181))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33944,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s180, s181)) | (~always19(s180)) | always19(s181)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 9.94/7.58 tff(33945,plain,
% 9.94/7.58 ((~always19(s180)) | always19(s181)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33944, 28576, 14629])).
% 9.94/7.58 tff(33946,plain,
% 9.94/7.58 (~always19(s180)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33945, 33937])).
% 9.94/7.58 tff(33947,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s180) | (~node20(s180)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s180) | (~node20(s180)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33948,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s180) | (~node20(s180)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33949,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s180) | (~node20(s180))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 9.94/7.58 tff(33950,plain,
% 9.94/7.58 (~node20(s180)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33949, 32139, 33946])).
% 9.94/7.58 tff(33951,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state1(s179, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state1(s179, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33952,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state1(s179, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33953,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state1(s179, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33952, 33951])).
% 9.94/7.58 tff(33954,plain,
% 9.94/7.58 (~m_main_v_state1(s179, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33953, 10, 14557])).
% 9.94/7.58 tff(33955,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s179, c_t1) | (~node20(s179)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s179, c_t1) | (~node20(s179)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33956,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s179, c_t1) | (~node20(s179)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33957,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s179, c_t1) | (~node20(s179))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33956, 33955])).
% 9.94/7.58 tff(33958,plain,
% 9.94/7.58 (~node20(s179)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33957, 32116, 33954])).
% 9.94/7.58 tff(33959,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s178)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33960,plain,
% 9.94/7.58 (((~m_main_v_state1(s178, c_c1)) | (~always19(s178))) <=> ((~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33961,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s178)) | (~m_main_v_state1(s178, c_c1))))),
% 9.94/7.58 inference(monotonicity,[status(thm)],[33960])).
% 9.94/7.58 tff(33962,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1)))),
% 9.94/7.58 inference(transitivity,[status(thm)],[33961, 33959])).
% 9.94/7.58 tff(33963,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s178, c_c1)) | (~always19(s178)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33964,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s178)) | (~m_main_v_state1(s178, c_c1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 9.94/7.58 tff(33965,plain,
% 9.94/7.58 (~always19(s178)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33964, 28559, 14475])).
% 9.94/7.58 tff(33966,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s177, s178)) | (~always19(s177)) | always19(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s177, s178)) | (~always19(s177)) | always19(s178))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33967,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s177, s178)) | (~always19(s177)) | always19(s178))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33968,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s177, s178)) | (~always19(s177)) | always19(s178)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33967, 33966])).
% 9.94/7.58 tff(33969,plain,
% 9.94/7.58 ((~always19(s177)) | always19(s178)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33968, 28576, 14391])).
% 9.94/7.58 tff(33970,plain,
% 9.94/7.58 (~always19(s177)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33969, 33965])).
% 9.94/7.58 tff(33971,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s177) | (~node20(s177)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s177) | (~node20(s177)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33972,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s177) | (~node20(s177)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33973,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s177) | (~node20(s177))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 9.94/7.58 tff(33974,plain,
% 9.94/7.58 (~node20(s177)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33973, 32139, 33970])).
% 9.94/7.58 tff(33975,plain,
% 9.94/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s176, s177)) | (~always19(s176)) | always19(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s176, s177)) | (~always19(s176)) | always19(s177))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33976,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s176, s177)) | (~always19(s176)) | always19(s177))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33977,plain,
% 9.94/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s176, s177)) | (~always19(s176)) | always19(s177)),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 9.94/7.58 tff(33978,plain,
% 9.94/7.58 ((~always19(s176)) | always19(s177)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33977, 28576, 14324])).
% 9.94/7.58 tff(33979,plain,
% 9.94/7.58 (~always19(s176)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33978, 33970])).
% 9.94/7.58 tff(33980,plain,
% 9.94/7.58 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s176) | (~node20(s176)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s176) | (~node20(s176)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33981,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s176) | (~node20(s176)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33982,plain,
% 9.94/7.58 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s176) | (~node20(s176))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33981, 33980])).
% 9.94/7.58 tff(33983,plain,
% 9.94/7.58 (~node20(s176)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33982, 32139, 33979])).
% 9.94/7.58 tff(33984,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state1(s175, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state1(s175, c_t1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33985,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state1(s175, c_t1)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33986,plain,
% 9.94/7.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state1(s175, c_t1))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33985, 33984])).
% 9.94/7.58 tff(33987,plain,
% 9.94/7.58 (~m_main_v_state1(s175, c_t1)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33986, 10, 14172])).
% 9.94/7.58 tff(33988,plain,
% 9.94/7.58 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s175, c_t1) | (~node20(s175)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s175, c_t1) | (~node20(s175)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33989,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s175, c_t1) | (~node20(s175)))),
% 9.94/7.58 inference(quant_inst,[status(thm)],[])).
% 9.94/7.58 tff(33990,plain,
% 9.94/7.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s175, c_t1) | (~node20(s175))),
% 9.94/7.58 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 9.94/7.58 tff(33991,plain,
% 9.94/7.58 (~node20(s175)),
% 9.94/7.58 inference(unit_resolution,[status(thm)],[33990, 32116, 33987])).
% 9.94/7.58 tff(33992,plain,
% 9.94/7.58 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s174)) | (~m_main_v_state1(s174, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s174)) | (~m_main_v_state1(s174, c_c1)))),
% 9.94/7.58 inference(rewrite,[status(thm)],[])).
% 9.94/7.58 tff(33993,plain,
% 9.94/7.58 (((~m_main_v_state1(s174, c_c1)) | (~always19(s174))) <=> ((~always19(s174)) | (~m_main_v_state1(s174, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(33994,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s174, c_c1)) | (~always19(s174)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s174)) | (~m_main_v_state1(s174, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[33993])).
% 9.94/7.59 tff(33995,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s174, c_c1)) | (~always19(s174)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s174)) | (~m_main_v_state1(s174, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[33994, 33992])).
% 9.94/7.59 tff(33996,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s174, c_c1)) | (~always19(s174)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(33997,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s174)) | (~m_main_v_state1(s174, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[33996, 33995])).
% 9.94/7.59 tff(33998,plain,
% 9.94/7.59 (~always19(s174)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[33997, 28559, 14108])).
% 9.94/7.59 tff(33999,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s173, s174)) | (~always19(s173)) | always19(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s173, s174)) | (~always19(s173)) | always19(s174))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34000,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s173, s174)) | (~always19(s173)) | always19(s174))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34001,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s173, s174)) | (~always19(s173)) | always19(s174)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34000, 33999])).
% 9.94/7.59 tff(34002,plain,
% 9.94/7.59 ((~always19(s173)) | always19(s174)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34001, 28576, 14096])).
% 9.94/7.59 tff(34003,plain,
% 9.94/7.59 (~always19(s173)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34002, 33998])).
% 9.94/7.59 tff(34004,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s173) | (~node20(s173)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s173) | (~node20(s173)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34005,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s173) | (~node20(s173)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34006,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s173) | (~node20(s173))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34005, 34004])).
% 9.94/7.59 tff(34007,plain,
% 9.94/7.59 (~node20(s173)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34006, 32139, 34003])).
% 9.94/7.59 tff(34008,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s172, s173)) | (~always19(s172)) | always19(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s172, s173)) | (~always19(s172)) | always19(s173))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34009,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s172, s173)) | (~always19(s172)) | always19(s173))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34010,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s172, s173)) | (~always19(s172)) | always19(s173)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34009, 34008])).
% 9.94/7.59 tff(34011,plain,
% 9.94/7.59 ((~always19(s172)) | always19(s173)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34010, 28576, 14001])).
% 9.94/7.59 tff(34012,plain,
% 9.94/7.59 (~always19(s172)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34011, 34003])).
% 9.94/7.59 tff(34013,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s172) | (~node20(s172)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s172) | (~node20(s172)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34014,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s172) | (~node20(s172)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34015,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s172) | (~node20(s172))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 9.94/7.59 tff(34016,plain,
% 9.94/7.59 (~node20(s172)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34015, 32139, 34012])).
% 9.94/7.59 tff(34017,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state1(s171, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state1(s171, c_t1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34018,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state1(s171, c_t1)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34019,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state1(s171, c_t1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34018, 34017])).
% 9.94/7.59 tff(34020,plain,
% 9.94/7.59 (~m_main_v_state1(s171, c_t1)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34019, 10, 13929])).
% 9.94/7.59 tff(34021,plain,
% 9.94/7.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s171, c_t1) | (~node20(s171)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s171, c_t1) | (~node20(s171)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34022,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s171, c_t1) | (~node20(s171)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34023,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s171, c_t1) | (~node20(s171))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34022, 34021])).
% 9.94/7.59 tff(34024,plain,
% 9.94/7.59 (~node20(s171)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34023, 32116, 34020])).
% 9.94/7.59 tff(34025,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s170)) | (~m_main_v_state1(s170, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s170)) | (~m_main_v_state1(s170, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34026,plain,
% 9.94/7.59 (((~m_main_v_state1(s170, c_c1)) | (~always19(s170))) <=> ((~always19(s170)) | (~m_main_v_state1(s170, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34027,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s170, c_c1)) | (~always19(s170)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s170)) | (~m_main_v_state1(s170, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[34026])).
% 9.94/7.59 tff(34028,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s170, c_c1)) | (~always19(s170)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s170)) | (~m_main_v_state1(s170, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[34027, 34025])).
% 9.94/7.59 tff(34029,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s170, c_c1)) | (~always19(s170)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34030,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s170)) | (~m_main_v_state1(s170, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 9.94/7.59 tff(34031,plain,
% 9.94/7.59 (~always19(s170)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34030, 28559, 13847])).
% 9.94/7.59 tff(34032,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s169, s170)) | (~always19(s169)) | always19(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s169, s170)) | (~always19(s169)) | always19(s170))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34033,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s169, s170)) | (~always19(s169)) | always19(s170))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34034,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s169, s170)) | (~always19(s169)) | always19(s170)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 9.94/7.59 tff(34035,plain,
% 9.94/7.59 ((~always19(s169)) | always19(s170)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34034, 28576, 13763])).
% 9.94/7.59 tff(34036,plain,
% 9.94/7.59 (~always19(s169)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34035, 34031])).
% 9.94/7.59 tff(34037,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s169) | (~node20(s169)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s169) | (~node20(s169)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34038,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s169) | (~node20(s169)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34039,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s169) | (~node20(s169))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34038, 34037])).
% 9.94/7.59 tff(34040,plain,
% 9.94/7.59 (~node20(s169)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34039, 32139, 34036])).
% 9.94/7.59 tff(34041,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s168, s169)) | (~always19(s168)) | always19(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s168, s169)) | (~always19(s168)) | always19(s169))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34042,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s168, s169)) | (~always19(s168)) | always19(s169))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34043,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s168, s169)) | (~always19(s168)) | always19(s169)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 9.94/7.59 tff(34044,plain,
% 9.94/7.59 ((~always19(s168)) | always19(s169)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34043, 28576, 13696])).
% 9.94/7.59 tff(34045,plain,
% 9.94/7.59 (~always19(s168)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34044, 34036])).
% 9.94/7.59 tff(34046,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s168) | (~node20(s168)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s168) | (~node20(s168)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34047,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s168) | (~node20(s168)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34048,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s168) | (~node20(s168))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34047, 34046])).
% 9.94/7.59 tff(34049,plain,
% 9.94/7.59 (~node20(s168)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34048, 32139, 34045])).
% 9.94/7.59 tff(34050,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state1(s167, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state1(s167, c_t1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34051,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state1(s167, c_t1)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34052,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state1(s167, c_t1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34051, 34050])).
% 9.94/7.59 tff(34053,plain,
% 9.94/7.59 (~m_main_v_state1(s167, c_t1)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34052, 10, 13544])).
% 9.94/7.59 tff(34054,plain,
% 9.94/7.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s167, c_t1) | (~node20(s167)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s167, c_t1) | (~node20(s167)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34055,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s167, c_t1) | (~node20(s167)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34056,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s167, c_t1) | (~node20(s167))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34055, 34054])).
% 9.94/7.59 tff(34057,plain,
% 9.94/7.59 (~node20(s167)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34056, 32116, 34053])).
% 9.94/7.59 tff(34058,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s166)) | (~m_main_v_state1(s166, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s166)) | (~m_main_v_state1(s166, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34059,plain,
% 9.94/7.59 (((~m_main_v_state1(s166, c_c1)) | (~always19(s166))) <=> ((~always19(s166)) | (~m_main_v_state1(s166, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34060,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s166, c_c1)) | (~always19(s166)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s166)) | (~m_main_v_state1(s166, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[34059])).
% 9.94/7.59 tff(34061,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s166, c_c1)) | (~always19(s166)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s166)) | (~m_main_v_state1(s166, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[34060, 34058])).
% 9.94/7.59 tff(34062,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s166, c_c1)) | (~always19(s166)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34063,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s166)) | (~m_main_v_state1(s166, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34062, 34061])).
% 9.94/7.59 tff(34064,plain,
% 9.94/7.59 (~always19(s166)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34063, 28559, 13480])).
% 9.94/7.59 tff(34065,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s165, s166)) | (~always19(s165)) | always19(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s165, s166)) | (~always19(s165)) | always19(s166))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34066,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s165, s166)) | (~always19(s165)) | always19(s166))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34067,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s165, s166)) | (~always19(s165)) | always19(s166)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 9.94/7.59 tff(34068,plain,
% 9.94/7.59 ((~always19(s165)) | always19(s166)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34067, 28576, 13468])).
% 9.94/7.59 tff(34069,plain,
% 9.94/7.59 (~always19(s165)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34068, 34064])).
% 9.94/7.59 tff(34070,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s165) | (~node20(s165)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s165) | (~node20(s165)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34071,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s165) | (~node20(s165)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34072,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s165) | (~node20(s165))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34071, 34070])).
% 9.94/7.59 tff(34073,plain,
% 9.94/7.59 (~node20(s165)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34072, 32139, 34069])).
% 9.94/7.59 tff(34074,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s164, s165)) | (~always19(s164)) | always19(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s164, s165)) | (~always19(s164)) | always19(s165))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34075,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s164, s165)) | (~always19(s164)) | always19(s165))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34076,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s164, s165)) | (~always19(s164)) | always19(s165)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 9.94/7.59 tff(34077,plain,
% 9.94/7.59 ((~always19(s164)) | always19(s165)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34076, 28576, 13373])).
% 9.94/7.59 tff(34078,plain,
% 9.94/7.59 (~always19(s164)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34077, 34069])).
% 9.94/7.59 tff(34079,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s164) | (~node20(s164)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s164) | (~node20(s164)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34080,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s164) | (~node20(s164)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34081,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s164) | (~node20(s164))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 9.94/7.59 tff(34082,plain,
% 9.94/7.59 (~node20(s164)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34081, 32139, 34078])).
% 9.94/7.59 tff(34083,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state1(s163, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state1(s163, c_t1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34084,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state1(s163, c_t1)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34085,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state1(s163, c_t1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 9.94/7.59 tff(34086,plain,
% 9.94/7.59 (~m_main_v_state1(s163, c_t1)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34085, 10, 13301])).
% 9.94/7.59 tff(34087,plain,
% 9.94/7.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s163, c_t1) | (~node20(s163)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s163, c_t1) | (~node20(s163)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34088,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s163, c_t1) | (~node20(s163)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34089,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s163, c_t1) | (~node20(s163))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34088, 34087])).
% 9.94/7.59 tff(34090,plain,
% 9.94/7.59 (~node20(s163)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34089, 32116, 34086])).
% 9.94/7.59 tff(34091,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s162)) | (~m_main_v_state1(s162, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s162)) | (~m_main_v_state1(s162, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34092,plain,
% 9.94/7.59 (((~m_main_v_state1(s162, c_c1)) | (~always19(s162))) <=> ((~always19(s162)) | (~m_main_v_state1(s162, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34093,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s162, c_c1)) | (~always19(s162)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s162)) | (~m_main_v_state1(s162, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[34092])).
% 9.94/7.59 tff(34094,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s162, c_c1)) | (~always19(s162)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s162)) | (~m_main_v_state1(s162, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[34093, 34091])).
% 9.94/7.59 tff(34095,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s162, c_c1)) | (~always19(s162)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34096,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s162)) | (~m_main_v_state1(s162, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34095, 34094])).
% 9.94/7.59 tff(34097,plain,
% 9.94/7.59 (~always19(s162)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34096, 28559, 13219])).
% 9.94/7.59 tff(34098,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s161, s162)) | (~always19(s161)) | always19(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s161, s162)) | (~always19(s161)) | always19(s162))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34099,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s161, s162)) | (~always19(s161)) | always19(s162))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34100,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s161, s162)) | (~always19(s161)) | always19(s162)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 9.94/7.59 tff(34101,plain,
% 9.94/7.59 ((~always19(s161)) | always19(s162)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34100, 28576, 13135])).
% 9.94/7.59 tff(34102,plain,
% 9.94/7.59 (~always19(s161)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34101, 34097])).
% 9.94/7.59 tff(34103,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s161) | (~node20(s161)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s161) | (~node20(s161)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34104,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s161) | (~node20(s161)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34105,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s161) | (~node20(s161))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34104, 34103])).
% 9.94/7.59 tff(34106,plain,
% 9.94/7.59 (~node20(s161)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34105, 32139, 34102])).
% 9.94/7.59 tff(34107,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s160, s161)) | (~always19(s160)) | always19(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s160, s161)) | (~always19(s160)) | always19(s161))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34108,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s160, s161)) | (~always19(s160)) | always19(s161))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34109,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s160, s161)) | (~always19(s160)) | always19(s161)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34108, 34107])).
% 9.94/7.59 tff(34110,plain,
% 9.94/7.59 ((~always19(s160)) | always19(s161)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34109, 28576, 13068])).
% 9.94/7.59 tff(34111,plain,
% 9.94/7.59 (~always19(s160)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34110, 34102])).
% 9.94/7.59 tff(34112,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s160) | (~node20(s160)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s160) | (~node20(s160)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34113,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s160) | (~node20(s160)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34114,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s160) | (~node20(s160))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34113, 34112])).
% 9.94/7.59 tff(34115,plain,
% 9.94/7.59 (~node20(s160)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34114, 32139, 34111])).
% 9.94/7.59 tff(34116,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state1(s159, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state1(s159, c_t1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34117,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state1(s159, c_t1)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34118,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state1(s159, c_t1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34117, 34116])).
% 9.94/7.59 tff(34119,plain,
% 9.94/7.59 (~m_main_v_state1(s159, c_t1)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34118, 10, 12916])).
% 9.94/7.59 tff(34120,plain,
% 9.94/7.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s159, c_t1) | (~node20(s159)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s159, c_t1) | (~node20(s159)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34121,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s159, c_t1) | (~node20(s159)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34122,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s159, c_t1) | (~node20(s159))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 9.94/7.59 tff(34123,plain,
% 9.94/7.59 (~node20(s159)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34122, 32116, 34119])).
% 9.94/7.59 tff(34124,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s158)) | (~m_main_v_state1(s158, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s158)) | (~m_main_v_state1(s158, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34125,plain,
% 9.94/7.59 (((~m_main_v_state1(s158, c_c1)) | (~always19(s158))) <=> ((~always19(s158)) | (~m_main_v_state1(s158, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34126,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s158, c_c1)) | (~always19(s158)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s158)) | (~m_main_v_state1(s158, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[34125])).
% 9.94/7.59 tff(34127,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s158, c_c1)) | (~always19(s158)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s158)) | (~m_main_v_state1(s158, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[34126, 34124])).
% 9.94/7.59 tff(34128,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s158, c_c1)) | (~always19(s158)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34129,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s158)) | (~m_main_v_state1(s158, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34128, 34127])).
% 9.94/7.59 tff(34130,plain,
% 9.94/7.59 (~always19(s158)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34129, 28559, 12852])).
% 9.94/7.59 tff(34131,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s157, s158)) | (~always19(s157)) | always19(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s157, s158)) | (~always19(s157)) | always19(s158))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34132,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s157, s158)) | (~always19(s157)) | always19(s158))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34133,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s157, s158)) | (~always19(s157)) | always19(s158)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34132, 34131])).
% 9.94/7.59 tff(34134,plain,
% 9.94/7.59 ((~always19(s157)) | always19(s158)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34133, 28576, 12840])).
% 9.94/7.59 tff(34135,plain,
% 9.94/7.59 (~always19(s157)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34134, 34130])).
% 9.94/7.59 tff(34136,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s157) | (~node20(s157)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s157) | (~node20(s157)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34137,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s157) | (~node20(s157)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34138,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s157) | (~node20(s157))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 9.94/7.59 tff(34139,plain,
% 9.94/7.59 (~node20(s157)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34138, 32139, 34135])).
% 9.94/7.59 tff(34140,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s156, s157)) | (~always19(s156)) | always19(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s156, s157)) | (~always19(s156)) | always19(s157))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34141,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s156, s157)) | (~always19(s156)) | always19(s157))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34142,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s156, s157)) | (~always19(s156)) | always19(s157)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 9.94/7.59 tff(34143,plain,
% 9.94/7.59 ((~always19(s156)) | always19(s157)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34142, 28576, 12745])).
% 9.94/7.59 tff(34144,plain,
% 9.94/7.59 (~always19(s156)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34143, 34135])).
% 9.94/7.59 tff(34145,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s156) | (~node20(s156)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s156) | (~node20(s156)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34146,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s156) | (~node20(s156)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34147,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s156) | (~node20(s156))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 9.94/7.59 tff(34148,plain,
% 9.94/7.59 (~node20(s156)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34147, 32139, 34144])).
% 9.94/7.59 tff(34149,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state1(s155, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state1(s155, c_t1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34150,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state1(s155, c_t1)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34151,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state1(s155, c_t1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34150, 34149])).
% 9.94/7.59 tff(34152,plain,
% 9.94/7.59 (~m_main_v_state1(s155, c_t1)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34151, 10, 12673])).
% 9.94/7.59 tff(34153,plain,
% 9.94/7.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s155, c_t1) | (~node20(s155)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s155, c_t1) | (~node20(s155)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34154,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s155, c_t1) | (~node20(s155)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34155,plain,
% 9.94/7.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s155, c_t1) | (~node20(s155))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34154, 34153])).
% 9.94/7.59 tff(34156,plain,
% 9.94/7.59 (~node20(s155)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34155, 32116, 34152])).
% 9.94/7.59 tff(34157,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s154)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s154)) | (~m_main_v_state1(s154, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34158,plain,
% 9.94/7.59 (((~m_main_v_state1(s154, c_c1)) | (~always19(s154))) <=> ((~always19(s154)) | (~m_main_v_state1(s154, c_c1)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34159,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s154, c_c1)) | (~always19(s154)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s154)) | (~m_main_v_state1(s154, c_c1))))),
% 9.94/7.59 inference(monotonicity,[status(thm)],[34158])).
% 9.94/7.59 tff(34160,plain,
% 9.94/7.59 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s154, c_c1)) | (~always19(s154)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s154)) | (~m_main_v_state1(s154, c_c1)))),
% 9.94/7.59 inference(transitivity,[status(thm)],[34159, 34157])).
% 9.94/7.59 tff(34161,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s154, c_c1)) | (~always19(s154)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34162,plain,
% 9.94/7.59 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s154)) | (~m_main_v_state1(s154, c_c1))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 9.94/7.59 tff(34163,plain,
% 9.94/7.59 (~always19(s154)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34162, 28559, 12591])).
% 9.94/7.59 tff(34164,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s153, s154)) | (~always19(s153)) | always19(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s153, s154)) | (~always19(s153)) | always19(s154))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34165,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s153, s154)) | (~always19(s153)) | always19(s154))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34166,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s153, s154)) | (~always19(s153)) | always19(s154)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 9.94/7.59 tff(34167,plain,
% 9.94/7.59 ((~always19(s153)) | always19(s154)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34166, 28576, 12507])).
% 9.94/7.59 tff(34168,plain,
% 9.94/7.59 (~always19(s153)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34167, 34163])).
% 9.94/7.59 tff(34169,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s153) | (~node20(s153)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s153) | (~node20(s153)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34170,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s153) | (~node20(s153)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34171,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s153) | (~node20(s153))),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34170, 34169])).
% 9.94/7.59 tff(34172,plain,
% 9.94/7.59 (~node20(s153)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34171, 32139, 34168])).
% 9.94/7.59 tff(34173,plain,
% 9.94/7.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s152, s153)) | (~always19(s152)) | always19(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s152, s153)) | (~always19(s152)) | always19(s153))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34174,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s152, s153)) | (~always19(s152)) | always19(s153))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34175,plain,
% 9.94/7.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s152, s153)) | (~always19(s152)) | always19(s153)),
% 9.94/7.59 inference(modus_ponens,[status(thm)],[34174, 34173])).
% 9.94/7.59 tff(34176,plain,
% 9.94/7.59 ((~always19(s152)) | always19(s153)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34175, 28576, 12440])).
% 9.94/7.59 tff(34177,plain,
% 9.94/7.59 (~always19(s152)),
% 9.94/7.59 inference(unit_resolution,[status(thm)],[34176, 34168])).
% 9.94/7.59 tff(34178,plain,
% 9.94/7.59 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s152) | (~node20(s152)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s152) | (~node20(s152)))),
% 9.94/7.59 inference(rewrite,[status(thm)],[])).
% 9.94/7.59 tff(34179,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s152) | (~node20(s152)))),
% 9.94/7.59 inference(quant_inst,[status(thm)],[])).
% 9.94/7.59 tff(34180,plain,
% 9.94/7.59 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s152) | (~node20(s152))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 9.94/7.60 tff(34181,plain,
% 9.94/7.60 (~node20(s152)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34180, 32139, 34177])).
% 9.94/7.60 tff(34182,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state1(s151, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state1(s151, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34183,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state1(s151, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34184,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state1(s151, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34183, 34182])).
% 9.94/7.60 tff(34185,plain,
% 9.94/7.60 (~m_main_v_state1(s151, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34184, 10, 12288])).
% 9.94/7.60 tff(34186,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s151, c_t1) | (~node20(s151)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s151, c_t1) | (~node20(s151)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34187,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s151, c_t1) | (~node20(s151)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34188,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s151, c_t1) | (~node20(s151))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34187, 34186])).
% 9.94/7.60 tff(34189,plain,
% 9.94/7.60 (~node20(s151)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34188, 32116, 34185])).
% 9.94/7.60 tff(34190,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s150)) | (~m_main_v_state1(s150, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s150)) | (~m_main_v_state1(s150, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34191,plain,
% 9.94/7.60 (((~m_main_v_state1(s150, c_c1)) | (~always19(s150))) <=> ((~always19(s150)) | (~m_main_v_state1(s150, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34192,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s150, c_c1)) | (~always19(s150)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s150)) | (~m_main_v_state1(s150, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34191])).
% 9.94/7.60 tff(34193,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s150, c_c1)) | (~always19(s150)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s150)) | (~m_main_v_state1(s150, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34192, 34190])).
% 9.94/7.60 tff(34194,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s150, c_c1)) | (~always19(s150)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34195,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s150)) | (~m_main_v_state1(s150, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34194, 34193])).
% 9.94/7.60 tff(34196,plain,
% 9.94/7.60 (~always19(s150)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34195, 28559, 12224])).
% 9.94/7.60 tff(34197,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s149, s150)) | (~always19(s149)) | always19(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s149, s150)) | (~always19(s149)) | always19(s150))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34198,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s149, s150)) | (~always19(s149)) | always19(s150))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34199,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s149, s150)) | (~always19(s149)) | always19(s150)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34198, 34197])).
% 9.94/7.60 tff(34200,plain,
% 9.94/7.60 ((~always19(s149)) | always19(s150)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34199, 28576, 12212])).
% 9.94/7.60 tff(34201,plain,
% 9.94/7.60 (~always19(s149)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34200, 34196])).
% 9.94/7.60 tff(34202,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s149) | (~node20(s149)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s149) | (~node20(s149)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34203,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s149) | (~node20(s149)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34204,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s149) | (~node20(s149))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34203, 34202])).
% 9.94/7.60 tff(34205,plain,
% 9.94/7.60 (~node20(s149)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34204, 32139, 34201])).
% 9.94/7.60 tff(34206,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s148, s149)) | (~always19(s148)) | always19(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s148, s149)) | (~always19(s148)) | always19(s149))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34207,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s148, s149)) | (~always19(s148)) | always19(s149))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34208,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s148, s149)) | (~always19(s148)) | always19(s149)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34207, 34206])).
% 9.94/7.60 tff(34209,plain,
% 9.94/7.60 ((~always19(s148)) | always19(s149)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34208, 28576, 12117])).
% 9.94/7.60 tff(34210,plain,
% 9.94/7.60 (~always19(s148)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34209, 34201])).
% 9.94/7.60 tff(34211,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s148) | (~node20(s148)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s148) | (~node20(s148)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34212,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s148) | (~node20(s148)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34213,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s148) | (~node20(s148))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 9.94/7.60 tff(34214,plain,
% 9.94/7.60 (~node20(s148)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34213, 32139, 34210])).
% 9.94/7.60 tff(34215,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state1(s147, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state1(s147, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34216,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state1(s147, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34217,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state1(s147, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 9.94/7.60 tff(34218,plain,
% 9.94/7.60 (~m_main_v_state1(s147, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34217, 10, 12045])).
% 9.94/7.60 tff(34219,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s147, c_t1) | (~node20(s147)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s147, c_t1) | (~node20(s147)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34220,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s147, c_t1) | (~node20(s147)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34221,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s147, c_t1) | (~node20(s147))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 9.94/7.60 tff(34222,plain,
% 9.94/7.60 (~node20(s147)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34221, 32116, 34218])).
% 9.94/7.60 tff(34223,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s146)) | (~m_main_v_state1(s146, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s146)) | (~m_main_v_state1(s146, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34224,plain,
% 9.94/7.60 (((~m_main_v_state1(s146, c_c1)) | (~always19(s146))) <=> ((~always19(s146)) | (~m_main_v_state1(s146, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34225,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s146, c_c1)) | (~always19(s146)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s146)) | (~m_main_v_state1(s146, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34224])).
% 9.94/7.60 tff(34226,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s146, c_c1)) | (~always19(s146)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s146)) | (~m_main_v_state1(s146, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34225, 34223])).
% 9.94/7.60 tff(34227,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s146, c_c1)) | (~always19(s146)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34228,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s146)) | (~m_main_v_state1(s146, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 9.94/7.60 tff(34229,plain,
% 9.94/7.60 (~always19(s146)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34228, 28559, 11963])).
% 9.94/7.60 tff(34230,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s145, s146)) | (~always19(s145)) | always19(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s145, s146)) | (~always19(s145)) | always19(s146))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34231,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s145, s146)) | (~always19(s145)) | always19(s146))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34232,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s145, s146)) | (~always19(s145)) | always19(s146)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34231, 34230])).
% 9.94/7.60 tff(34233,plain,
% 9.94/7.60 ((~always19(s145)) | always19(s146)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34232, 28576, 11879])).
% 9.94/7.60 tff(34234,plain,
% 9.94/7.60 (~always19(s145)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34233, 34229])).
% 9.94/7.60 tff(34235,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s145) | (~node20(s145)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s145) | (~node20(s145)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34236,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s145) | (~node20(s145)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34237,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s145) | (~node20(s145))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34236, 34235])).
% 9.94/7.60 tff(34238,plain,
% 9.94/7.60 (~node20(s145)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34237, 32139, 34234])).
% 9.94/7.60 tff(34239,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s144, s145)) | (~always19(s144)) | always19(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s144, s145)) | (~always19(s144)) | always19(s145))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34240,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s144, s145)) | (~always19(s144)) | always19(s145))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34241,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s144, s145)) | (~always19(s144)) | always19(s145)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34240, 34239])).
% 9.94/7.60 tff(34242,plain,
% 9.94/7.60 ((~always19(s144)) | always19(s145)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34241, 28576, 11812])).
% 9.94/7.60 tff(34243,plain,
% 9.94/7.60 (~always19(s144)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34242, 34234])).
% 9.94/7.60 tff(34244,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s144) | (~node20(s144)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s144) | (~node20(s144)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34245,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s144) | (~node20(s144)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34246,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s144) | (~node20(s144))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34245, 34244])).
% 9.94/7.60 tff(34247,plain,
% 9.94/7.60 (~node20(s144)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34246, 32139, 34243])).
% 9.94/7.60 tff(34248,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state1(s143, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state1(s143, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34249,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state1(s143, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34250,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state1(s143, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 9.94/7.60 tff(34251,plain,
% 9.94/7.60 (~m_main_v_state1(s143, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34250, 10, 11660])).
% 9.94/7.60 tff(34252,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s143, c_t1) | (~node20(s143)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s143, c_t1) | (~node20(s143)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34253,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s143, c_t1) | (~node20(s143)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34254,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s143, c_t1) | (~node20(s143))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34253, 34252])).
% 9.94/7.60 tff(34255,plain,
% 9.94/7.60 (~node20(s143)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34254, 32116, 34251])).
% 9.94/7.60 tff(34256,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s142)) | (~m_main_v_state1(s142, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s142)) | (~m_main_v_state1(s142, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34257,plain,
% 9.94/7.60 (((~m_main_v_state1(s142, c_c1)) | (~always19(s142))) <=> ((~always19(s142)) | (~m_main_v_state1(s142, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34258,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s142, c_c1)) | (~always19(s142)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s142)) | (~m_main_v_state1(s142, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34257])).
% 9.94/7.60 tff(34259,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s142, c_c1)) | (~always19(s142)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s142)) | (~m_main_v_state1(s142, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34258, 34256])).
% 9.94/7.60 tff(34260,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s142, c_c1)) | (~always19(s142)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34261,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s142)) | (~m_main_v_state1(s142, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 9.94/7.60 tff(34262,plain,
% 9.94/7.60 (~always19(s142)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34261, 28559, 11596])).
% 9.94/7.60 tff(34263,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s141, s142)) | (~always19(s141)) | always19(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s141, s142)) | (~always19(s141)) | always19(s142))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34264,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s141, s142)) | (~always19(s141)) | always19(s142))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34265,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s141, s142)) | (~always19(s141)) | always19(s142)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 9.94/7.60 tff(34266,plain,
% 9.94/7.60 ((~always19(s141)) | always19(s142)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34265, 28576, 11584])).
% 9.94/7.60 tff(34267,plain,
% 9.94/7.60 (~always19(s141)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34266, 34262])).
% 9.94/7.60 tff(34268,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s141) | (~node20(s141)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s141) | (~node20(s141)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34269,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s141) | (~node20(s141)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34270,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s141) | (~node20(s141))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34269, 34268])).
% 9.94/7.60 tff(34271,plain,
% 9.94/7.60 (~node20(s141)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34270, 32139, 34267])).
% 9.94/7.60 tff(34272,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s140, s141)) | (~always19(s140)) | always19(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s140, s141)) | (~always19(s140)) | always19(s141))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34273,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s140, s141)) | (~always19(s140)) | always19(s141))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34274,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s140, s141)) | (~always19(s140)) | always19(s141)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34273, 34272])).
% 9.94/7.60 tff(34275,plain,
% 9.94/7.60 ((~always19(s140)) | always19(s141)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34274, 28576, 11489])).
% 9.94/7.60 tff(34276,plain,
% 9.94/7.60 (~always19(s140)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34275, 34267])).
% 9.94/7.60 tff(34277,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s140) | (~node20(s140)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s140) | (~node20(s140)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34278,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s140) | (~node20(s140)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34279,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s140) | (~node20(s140))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 9.94/7.60 tff(34280,plain,
% 9.94/7.60 (~node20(s140)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34279, 32139, 34276])).
% 9.94/7.60 tff(34281,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state1(s139, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state1(s139, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34282,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state1(s139, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34283,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state1(s139, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34282, 34281])).
% 9.94/7.60 tff(34284,plain,
% 9.94/7.60 (~m_main_v_state1(s139, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34283, 10, 11417])).
% 9.94/7.60 tff(34285,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s139, c_t1) | (~node20(s139)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s139, c_t1) | (~node20(s139)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34286,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s139, c_t1) | (~node20(s139)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34287,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s139, c_t1) | (~node20(s139))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34286, 34285])).
% 9.94/7.60 tff(34288,plain,
% 9.94/7.60 (~node20(s139)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34287, 32116, 34284])).
% 9.94/7.60 tff(34289,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s138)) | (~m_main_v_state1(s138, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s138)) | (~m_main_v_state1(s138, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34290,plain,
% 9.94/7.60 (((~m_main_v_state1(s138, c_c1)) | (~always19(s138))) <=> ((~always19(s138)) | (~m_main_v_state1(s138, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34291,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s138, c_c1)) | (~always19(s138)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s138)) | (~m_main_v_state1(s138, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34290])).
% 9.94/7.60 tff(34292,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s138, c_c1)) | (~always19(s138)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s138)) | (~m_main_v_state1(s138, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34291, 34289])).
% 9.94/7.60 tff(34293,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s138, c_c1)) | (~always19(s138)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34294,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s138)) | (~m_main_v_state1(s138, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 9.94/7.60 tff(34295,plain,
% 9.94/7.60 (~always19(s138)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34294, 28559, 11335])).
% 9.94/7.60 tff(34296,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s137, s138)) | (~always19(s137)) | always19(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s137, s138)) | (~always19(s137)) | always19(s138))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34297,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s137, s138)) | (~always19(s137)) | always19(s138))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34298,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s137, s138)) | (~always19(s137)) | always19(s138)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 9.94/7.60 tff(34299,plain,
% 9.94/7.60 ((~always19(s137)) | always19(s138)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34298, 28576, 11251])).
% 9.94/7.60 tff(34300,plain,
% 9.94/7.60 (~always19(s137)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34299, 34295])).
% 9.94/7.60 tff(34301,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s137) | (~node20(s137)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s137) | (~node20(s137)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34302,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s137) | (~node20(s137)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34303,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s137) | (~node20(s137))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 9.94/7.60 tff(34304,plain,
% 9.94/7.60 (~node20(s137)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34303, 32139, 34300])).
% 9.94/7.60 tff(34305,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s136, s137)) | (~always19(s136)) | always19(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s136, s137)) | (~always19(s136)) | always19(s137))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34306,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s136, s137)) | (~always19(s136)) | always19(s137))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34307,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s136, s137)) | (~always19(s136)) | always19(s137)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34306, 34305])).
% 9.94/7.60 tff(34308,plain,
% 9.94/7.60 ((~always19(s136)) | always19(s137)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34307, 28576, 11184])).
% 9.94/7.60 tff(34309,plain,
% 9.94/7.60 (~always19(s136)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34308, 34300])).
% 9.94/7.60 tff(34310,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s136) | (~node20(s136)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s136) | (~node20(s136)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34311,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s136) | (~node20(s136)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34312,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s136) | (~node20(s136))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 9.94/7.60 tff(34313,plain,
% 9.94/7.60 (~node20(s136)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34312, 32139, 34309])).
% 9.94/7.60 tff(34314,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state1(s135, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state1(s135, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34315,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state1(s135, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34316,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state1(s135, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 9.94/7.60 tff(34317,plain,
% 9.94/7.60 (~m_main_v_state1(s135, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34316, 10, 11032])).
% 9.94/7.60 tff(34318,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s135, c_t1) | (~node20(s135)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s135, c_t1) | (~node20(s135)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34319,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s135, c_t1) | (~node20(s135)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34320,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s135, c_t1) | (~node20(s135))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 9.94/7.60 tff(34321,plain,
% 9.94/7.60 (~node20(s135)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34320, 32116, 34317])).
% 9.94/7.60 tff(34322,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s134)) | (~m_main_v_state1(s134, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s134)) | (~m_main_v_state1(s134, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34323,plain,
% 9.94/7.60 (((~m_main_v_state1(s134, c_c1)) | (~always19(s134))) <=> ((~always19(s134)) | (~m_main_v_state1(s134, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34324,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s134, c_c1)) | (~always19(s134)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s134)) | (~m_main_v_state1(s134, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34323])).
% 9.94/7.60 tff(34325,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s134, c_c1)) | (~always19(s134)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s134)) | (~m_main_v_state1(s134, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34324, 34322])).
% 9.94/7.60 tff(34326,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s134, c_c1)) | (~always19(s134)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34327,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s134)) | (~m_main_v_state1(s134, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 9.94/7.60 tff(34328,plain,
% 9.94/7.60 (~always19(s134)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34327, 28559, 10968])).
% 9.94/7.60 tff(34329,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s133, s134)) | (~always19(s133)) | always19(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s133, s134)) | (~always19(s133)) | always19(s134))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34330,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s133, s134)) | (~always19(s133)) | always19(s134))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34331,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s133, s134)) | (~always19(s133)) | always19(s134)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34330, 34329])).
% 9.94/7.60 tff(34332,plain,
% 9.94/7.60 ((~always19(s133)) | always19(s134)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34331, 28576, 10956])).
% 9.94/7.60 tff(34333,plain,
% 9.94/7.60 (~always19(s133)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34332, 34328])).
% 9.94/7.60 tff(34334,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s133) | (~node20(s133)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s133) | (~node20(s133)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34335,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s133) | (~node20(s133)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34336,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s133) | (~node20(s133))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34335, 34334])).
% 9.94/7.60 tff(34337,plain,
% 9.94/7.60 (~node20(s133)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34336, 32139, 34333])).
% 9.94/7.60 tff(34338,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s132, s133)) | (~always19(s132)) | always19(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s132, s133)) | (~always19(s132)) | always19(s133))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34339,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s132, s133)) | (~always19(s132)) | always19(s133))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34340,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s132, s133)) | (~always19(s132)) | always19(s133)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34339, 34338])).
% 9.94/7.60 tff(34341,plain,
% 9.94/7.60 ((~always19(s132)) | always19(s133)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34340, 28576, 10861])).
% 9.94/7.60 tff(34342,plain,
% 9.94/7.60 (~always19(s132)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34341, 34333])).
% 9.94/7.60 tff(34343,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s132) | (~node20(s132)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s132) | (~node20(s132)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34344,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s132) | (~node20(s132)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34345,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s132) | (~node20(s132))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34344, 34343])).
% 9.94/7.60 tff(34346,plain,
% 9.94/7.60 (~node20(s132)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34345, 32139, 34342])).
% 9.94/7.60 tff(34347,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state1(s131, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state1(s131, c_t1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34348,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state1(s131, c_t1)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34349,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state1(s131, c_t1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34348, 34347])).
% 9.94/7.60 tff(34350,plain,
% 9.94/7.60 (~m_main_v_state1(s131, c_t1)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34349, 10, 10789])).
% 9.94/7.60 tff(34351,plain,
% 9.94/7.60 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s131, c_t1) | (~node20(s131)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s131, c_t1) | (~node20(s131)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34352,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s131, c_t1) | (~node20(s131)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34353,plain,
% 9.94/7.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s131, c_t1) | (~node20(s131))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34352, 34351])).
% 9.94/7.60 tff(34354,plain,
% 9.94/7.60 (~node20(s131)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34353, 32116, 34350])).
% 9.94/7.60 tff(34355,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s130)) | (~m_main_v_state1(s130, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s130)) | (~m_main_v_state1(s130, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34356,plain,
% 9.94/7.60 (((~m_main_v_state1(s130, c_c1)) | (~always19(s130))) <=> ((~always19(s130)) | (~m_main_v_state1(s130, c_c1)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34357,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s130, c_c1)) | (~always19(s130)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s130)) | (~m_main_v_state1(s130, c_c1))))),
% 9.94/7.60 inference(monotonicity,[status(thm)],[34356])).
% 9.94/7.60 tff(34358,plain,
% 9.94/7.60 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s130, c_c1)) | (~always19(s130)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s130)) | (~m_main_v_state1(s130, c_c1)))),
% 9.94/7.60 inference(transitivity,[status(thm)],[34357, 34355])).
% 9.94/7.60 tff(34359,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s130, c_c1)) | (~always19(s130)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34360,plain,
% 9.94/7.60 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s130)) | (~m_main_v_state1(s130, c_c1))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 9.94/7.60 tff(34361,plain,
% 9.94/7.60 (~always19(s130)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34360, 28559, 10707])).
% 9.94/7.60 tff(34362,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s129, s130)) | (~always19(s129)) | always19(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s129, s130)) | (~always19(s129)) | always19(s130))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34363,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s129, s130)) | (~always19(s129)) | always19(s130))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34364,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s129, s130)) | (~always19(s129)) | always19(s130)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34363, 34362])).
% 9.94/7.60 tff(34365,plain,
% 9.94/7.60 ((~always19(s129)) | always19(s130)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34364, 28576, 10623])).
% 9.94/7.60 tff(34366,plain,
% 9.94/7.60 (~always19(s129)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34365, 34361])).
% 9.94/7.60 tff(34367,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s129) | (~node20(s129)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s129) | (~node20(s129)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34368,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s129) | (~node20(s129)))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34369,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s129) | (~node20(s129))),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 9.94/7.60 tff(34370,plain,
% 9.94/7.60 (~node20(s129)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34369, 32139, 34366])).
% 9.94/7.60 tff(34371,plain,
% 9.94/7.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s128, s129)) | (~always19(s128)) | always19(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s128, s129)) | (~always19(s128)) | always19(s129))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34372,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s128, s129)) | (~always19(s128)) | always19(s129))),
% 9.94/7.60 inference(quant_inst,[status(thm)],[])).
% 9.94/7.60 tff(34373,plain,
% 9.94/7.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s128, s129)) | (~always19(s128)) | always19(s129)),
% 9.94/7.60 inference(modus_ponens,[status(thm)],[34372, 34371])).
% 9.94/7.60 tff(34374,plain,
% 9.94/7.60 ((~always19(s128)) | always19(s129)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34373, 28576, 10556])).
% 9.94/7.60 tff(34375,plain,
% 9.94/7.60 (~always19(s128)),
% 9.94/7.60 inference(unit_resolution,[status(thm)],[34374, 34366])).
% 9.94/7.60 tff(34376,plain,
% 9.94/7.60 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s128) | (~node20(s128)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s128) | (~node20(s128)))),
% 9.94/7.60 inference(rewrite,[status(thm)],[])).
% 9.94/7.60 tff(34377,plain,
% 9.94/7.60 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s128) | (~node20(s128)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34378,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s128) | (~node20(s128))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34377, 34376])).
% 9.94/7.61 tff(34379,plain,
% 9.94/7.61 (~node20(s128)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34378, 32139, 34375])).
% 9.94/7.61 tff(34380,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state1(s127, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state1(s127, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34381,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state1(s127, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34382,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state1(s127, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 9.94/7.61 tff(34383,plain,
% 9.94/7.61 (~m_main_v_state1(s127, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34382, 10, 10404])).
% 9.94/7.61 tff(34384,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s127, c_t1) | (~node20(s127)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s127, c_t1) | (~node20(s127)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34385,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s127, c_t1) | (~node20(s127)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34386,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s127, c_t1) | (~node20(s127))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 9.94/7.61 tff(34387,plain,
% 9.94/7.61 (~node20(s127)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34386, 32116, 34383])).
% 9.94/7.61 tff(34388,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s126)) | (~m_main_v_state1(s126, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s126)) | (~m_main_v_state1(s126, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34389,plain,
% 9.94/7.61 (((~m_main_v_state1(s126, c_c1)) | (~always19(s126))) <=> ((~always19(s126)) | (~m_main_v_state1(s126, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34390,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s126, c_c1)) | (~always19(s126)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s126)) | (~m_main_v_state1(s126, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34389])).
% 9.94/7.61 tff(34391,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s126, c_c1)) | (~always19(s126)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s126)) | (~m_main_v_state1(s126, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34390, 34388])).
% 9.94/7.61 tff(34392,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s126, c_c1)) | (~always19(s126)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34393,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s126)) | (~m_main_v_state1(s126, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34392, 34391])).
% 9.94/7.61 tff(34394,plain,
% 9.94/7.61 (~always19(s126)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34393, 28559, 10340])).
% 9.94/7.61 tff(34395,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s125, s126)) | (~always19(s125)) | always19(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s125, s126)) | (~always19(s125)) | always19(s126))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34396,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s125, s126)) | (~always19(s125)) | always19(s126))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34397,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s125, s126)) | (~always19(s125)) | always19(s126)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 9.94/7.61 tff(34398,plain,
% 9.94/7.61 ((~always19(s125)) | always19(s126)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34397, 28576, 10328])).
% 9.94/7.61 tff(34399,plain,
% 9.94/7.61 (~always19(s125)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34398, 34394])).
% 9.94/7.61 tff(34400,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s125) | (~node20(s125)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s125) | (~node20(s125)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34401,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s125) | (~node20(s125)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34402,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s125) | (~node20(s125))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34401, 34400])).
% 9.94/7.61 tff(34403,plain,
% 9.94/7.61 (~node20(s125)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34402, 32139, 34399])).
% 9.94/7.61 tff(34404,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s124, s125)) | (~always19(s124)) | always19(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s124, s125)) | (~always19(s124)) | always19(s125))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34405,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s124, s125)) | (~always19(s124)) | always19(s125))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34406,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s124, s125)) | (~always19(s124)) | always19(s125)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34405, 34404])).
% 9.94/7.61 tff(34407,plain,
% 9.94/7.61 ((~always19(s124)) | always19(s125)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34406, 28576, 10233])).
% 9.94/7.61 tff(34408,plain,
% 9.94/7.61 (~always19(s124)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34407, 34399])).
% 9.94/7.61 tff(34409,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s124) | (~node20(s124)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s124) | (~node20(s124)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34410,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s124) | (~node20(s124)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34411,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s124) | (~node20(s124))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 9.94/7.61 tff(34412,plain,
% 9.94/7.61 (~node20(s124)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34411, 32139, 34408])).
% 9.94/7.61 tff(34413,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state1(s123, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state1(s123, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34414,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state1(s123, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34415,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state1(s123, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 9.94/7.61 tff(34416,plain,
% 9.94/7.61 (~m_main_v_state1(s123, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34415, 10, 10161])).
% 9.94/7.61 tff(34417,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s123, c_t1) | (~node20(s123)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s123, c_t1) | (~node20(s123)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34418,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s123, c_t1) | (~node20(s123)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34419,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s123, c_t1) | (~node20(s123))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34418, 34417])).
% 9.94/7.61 tff(34420,plain,
% 9.94/7.61 (~node20(s123)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34419, 32116, 34416])).
% 9.94/7.61 tff(34421,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s122)) | (~m_main_v_state1(s122, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s122)) | (~m_main_v_state1(s122, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34422,plain,
% 9.94/7.61 (((~m_main_v_state1(s122, c_c1)) | (~always19(s122))) <=> ((~always19(s122)) | (~m_main_v_state1(s122, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34423,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s122, c_c1)) | (~always19(s122)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s122)) | (~m_main_v_state1(s122, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34422])).
% 9.94/7.61 tff(34424,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s122, c_c1)) | (~always19(s122)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s122)) | (~m_main_v_state1(s122, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34423, 34421])).
% 9.94/7.61 tff(34425,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s122, c_c1)) | (~always19(s122)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34426,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s122)) | (~m_main_v_state1(s122, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 9.94/7.61 tff(34427,plain,
% 9.94/7.61 (~always19(s122)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34426, 28559, 10079])).
% 9.94/7.61 tff(34428,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s121, s122)) | (~always19(s121)) | always19(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s121, s122)) | (~always19(s121)) | always19(s122))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34429,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s121, s122)) | (~always19(s121)) | always19(s122))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34430,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s121, s122)) | (~always19(s121)) | always19(s122)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 9.94/7.61 tff(34431,plain,
% 9.94/7.61 ((~always19(s121)) | always19(s122)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34430, 28576, 9995])).
% 9.94/7.61 tff(34432,plain,
% 9.94/7.61 (~always19(s121)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34431, 34427])).
% 9.94/7.61 tff(34433,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s121) | (~node20(s121)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s121) | (~node20(s121)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34434,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s121) | (~node20(s121)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34435,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s121) | (~node20(s121))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 9.94/7.61 tff(34436,plain,
% 9.94/7.61 (~node20(s121)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34435, 32139, 34432])).
% 9.94/7.61 tff(34437,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s120, s121)) | (~always19(s120)) | always19(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s120, s121)) | (~always19(s120)) | always19(s121))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34438,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s120, s121)) | (~always19(s120)) | always19(s121))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34439,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s120, s121)) | (~always19(s120)) | always19(s121)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34438, 34437])).
% 9.94/7.61 tff(34440,plain,
% 9.94/7.61 ((~always19(s120)) | always19(s121)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34439, 28576, 9928])).
% 9.94/7.61 tff(34441,plain,
% 9.94/7.61 (~always19(s120)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34440, 34432])).
% 9.94/7.61 tff(34442,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s120) | (~node20(s120)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s120) | (~node20(s120)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34443,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s120) | (~node20(s120)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34444,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s120) | (~node20(s120))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 9.94/7.61 tff(34445,plain,
% 9.94/7.61 (~node20(s120)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34444, 32139, 34441])).
% 9.94/7.61 tff(34446,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state1(s119, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state1(s119, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34447,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state1(s119, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34448,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state1(s119, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34447, 34446])).
% 9.94/7.61 tff(34449,plain,
% 9.94/7.61 (~m_main_v_state1(s119, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34448, 10, 9776])).
% 9.94/7.61 tff(34450,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s119, c_t1) | (~node20(s119)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s119, c_t1) | (~node20(s119)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34451,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s119, c_t1) | (~node20(s119)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34452,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s119, c_t1) | (~node20(s119))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34451, 34450])).
% 9.94/7.61 tff(34453,plain,
% 9.94/7.61 (~node20(s119)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34452, 32116, 34449])).
% 9.94/7.61 tff(34454,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s118)) | (~m_main_v_state1(s118, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s118)) | (~m_main_v_state1(s118, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34455,plain,
% 9.94/7.61 (((~m_main_v_state1(s118, c_c1)) | (~always19(s118))) <=> ((~always19(s118)) | (~m_main_v_state1(s118, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34456,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s118, c_c1)) | (~always19(s118)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s118)) | (~m_main_v_state1(s118, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34455])).
% 9.94/7.61 tff(34457,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s118, c_c1)) | (~always19(s118)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s118)) | (~m_main_v_state1(s118, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34456, 34454])).
% 9.94/7.61 tff(34458,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s118, c_c1)) | (~always19(s118)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34459,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s118)) | (~m_main_v_state1(s118, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 9.94/7.61 tff(34460,plain,
% 9.94/7.61 (~always19(s118)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34459, 28559, 9712])).
% 9.94/7.61 tff(34461,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s117, s118)) | (~always19(s117)) | always19(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s117, s118)) | (~always19(s117)) | always19(s118))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34462,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s117, s118)) | (~always19(s117)) | always19(s118))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34463,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s117, s118)) | (~always19(s117)) | always19(s118)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34462, 34461])).
% 9.94/7.61 tff(34464,plain,
% 9.94/7.61 ((~always19(s117)) | always19(s118)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34463, 28576, 9700])).
% 9.94/7.61 tff(34465,plain,
% 9.94/7.61 (~always19(s117)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34464, 34460])).
% 9.94/7.61 tff(34466,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s117) | (~node20(s117)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s117) | (~node20(s117)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34467,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s117) | (~node20(s117)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34468,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s117) | (~node20(s117))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 9.94/7.61 tff(34469,plain,
% 9.94/7.61 (~node20(s117)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34468, 32139, 34465])).
% 9.94/7.61 tff(34470,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s116, s117)) | (~always19(s116)) | always19(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s116, s117)) | (~always19(s116)) | always19(s117))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34471,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s116, s117)) | (~always19(s116)) | always19(s117))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34472,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s116, s117)) | (~always19(s116)) | always19(s117)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34471, 34470])).
% 9.94/7.61 tff(34473,plain,
% 9.94/7.61 ((~always19(s116)) | always19(s117)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34472, 28576, 9605])).
% 9.94/7.61 tff(34474,plain,
% 9.94/7.61 (~always19(s116)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34473, 34465])).
% 9.94/7.61 tff(34475,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s116) | (~node20(s116)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s116) | (~node20(s116)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34476,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s116) | (~node20(s116)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34477,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s116) | (~node20(s116))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34476, 34475])).
% 9.94/7.61 tff(34478,plain,
% 9.94/7.61 (~node20(s116)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34477, 32139, 34474])).
% 9.94/7.61 tff(34479,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state1(s115, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state1(s115, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34480,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state1(s115, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34481,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state1(s115, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34480, 34479])).
% 9.94/7.61 tff(34482,plain,
% 9.94/7.61 (~m_main_v_state1(s115, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34481, 10, 9533])).
% 9.94/7.61 tff(34483,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s115, c_t1) | (~node20(s115)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s115, c_t1) | (~node20(s115)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34484,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s115, c_t1) | (~node20(s115)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34485,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s115, c_t1) | (~node20(s115))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 9.94/7.61 tff(34486,plain,
% 9.94/7.61 (~node20(s115)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34485, 32116, 34482])).
% 9.94/7.61 tff(34487,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s114)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34488,plain,
% 9.94/7.61 (((~m_main_v_state1(s114, c_c1)) | (~always19(s114))) <=> ((~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34489,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s114)) | (~m_main_v_state1(s114, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34488])).
% 9.94/7.61 tff(34490,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34489, 34487])).
% 9.94/7.61 tff(34491,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s114, c_c1)) | (~always19(s114)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34492,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s114)) | (~m_main_v_state1(s114, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34491, 34490])).
% 9.94/7.61 tff(34493,plain,
% 9.94/7.61 (~always19(s114)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34492, 28559, 9451])).
% 9.94/7.61 tff(34494,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s113, s114)) | (~always19(s113)) | always19(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s113, s114)) | (~always19(s113)) | always19(s114))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34495,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s113, s114)) | (~always19(s113)) | always19(s114))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34496,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s113, s114)) | (~always19(s113)) | always19(s114)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 9.94/7.61 tff(34497,plain,
% 9.94/7.61 ((~always19(s113)) | always19(s114)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34496, 28576, 9367])).
% 9.94/7.61 tff(34498,plain,
% 9.94/7.61 (~always19(s113)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34497, 34493])).
% 9.94/7.61 tff(34499,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s113) | (~node20(s113)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s113) | (~node20(s113)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34500,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s113) | (~node20(s113)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34501,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s113) | (~node20(s113))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34500, 34499])).
% 9.94/7.61 tff(34502,plain,
% 9.94/7.61 (~node20(s113)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34501, 32139, 34498])).
% 9.94/7.61 tff(34503,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s112, s113)) | (~always19(s112)) | always19(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s112, s113)) | (~always19(s112)) | always19(s113))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34504,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s112, s113)) | (~always19(s112)) | always19(s113))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34505,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s112, s113)) | (~always19(s112)) | always19(s113)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 9.94/7.61 tff(34506,plain,
% 9.94/7.61 ((~always19(s112)) | always19(s113)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34505, 28576, 9300])).
% 9.94/7.61 tff(34507,plain,
% 9.94/7.61 (~always19(s112)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34506, 34498])).
% 9.94/7.61 tff(34508,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s112) | (~node20(s112)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s112) | (~node20(s112)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34509,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s112) | (~node20(s112)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34510,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s112) | (~node20(s112))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34509, 34508])).
% 9.94/7.61 tff(34511,plain,
% 9.94/7.61 (~node20(s112)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34510, 32139, 34507])).
% 9.94/7.61 tff(34512,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state1(s111, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state1(s111, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34513,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state1(s111, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34514,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state1(s111, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 9.94/7.61 tff(34515,plain,
% 9.94/7.61 (~m_main_v_state1(s111, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34514, 10, 9148])).
% 9.94/7.61 tff(34516,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s111, c_t1) | (~node20(s111)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s111, c_t1) | (~node20(s111)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34517,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s111, c_t1) | (~node20(s111)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34518,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s111, c_t1) | (~node20(s111))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34517, 34516])).
% 9.94/7.61 tff(34519,plain,
% 9.94/7.61 (~node20(s111)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34518, 32116, 34515])).
% 9.94/7.61 tff(34520,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s110)) | (~m_main_v_state1(s110, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s110)) | (~m_main_v_state1(s110, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34521,plain,
% 9.94/7.61 (((~m_main_v_state1(s110, c_c1)) | (~always19(s110))) <=> ((~always19(s110)) | (~m_main_v_state1(s110, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34522,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s110, c_c1)) | (~always19(s110)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s110)) | (~m_main_v_state1(s110, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34521])).
% 9.94/7.61 tff(34523,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s110, c_c1)) | (~always19(s110)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s110)) | (~m_main_v_state1(s110, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34522, 34520])).
% 9.94/7.61 tff(34524,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s110, c_c1)) | (~always19(s110)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34525,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s110)) | (~m_main_v_state1(s110, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 9.94/7.61 tff(34526,plain,
% 9.94/7.61 (~always19(s110)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34525, 28559, 9084])).
% 9.94/7.61 tff(34527,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s109, s110)) | (~always19(s109)) | always19(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s109, s110)) | (~always19(s109)) | always19(s110))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34528,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s109, s110)) | (~always19(s109)) | always19(s110))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34529,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s109, s110)) | (~always19(s109)) | always19(s110)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 9.94/7.61 tff(34530,plain,
% 9.94/7.61 ((~always19(s109)) | always19(s110)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34529, 28576, 9072])).
% 9.94/7.61 tff(34531,plain,
% 9.94/7.61 (~always19(s109)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34530, 34526])).
% 9.94/7.61 tff(34532,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s109) | (~node20(s109)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s109) | (~node20(s109)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34533,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s109) | (~node20(s109)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34534,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s109) | (~node20(s109))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34533, 34532])).
% 9.94/7.61 tff(34535,plain,
% 9.94/7.61 (~node20(s109)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34534, 32139, 34531])).
% 9.94/7.61 tff(34536,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s108, s109)) | (~always19(s108)) | always19(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s108, s109)) | (~always19(s108)) | always19(s109))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34537,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s108, s109)) | (~always19(s108)) | always19(s109))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34538,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s108, s109)) | (~always19(s108)) | always19(s109)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 9.94/7.61 tff(34539,plain,
% 9.94/7.61 ((~always19(s108)) | always19(s109)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34538, 28576, 8977])).
% 9.94/7.61 tff(34540,plain,
% 9.94/7.61 (~always19(s108)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34539, 34531])).
% 9.94/7.61 tff(34541,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s108) | (~node20(s108)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s108) | (~node20(s108)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34542,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s108) | (~node20(s108)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34543,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s108) | (~node20(s108))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34542, 34541])).
% 9.94/7.61 tff(34544,plain,
% 9.94/7.61 (~node20(s108)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34543, 32139, 34540])).
% 9.94/7.61 tff(34545,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state1(s107, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state1(s107, c_t1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34546,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state1(s107, c_t1)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34547,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state1(s107, c_t1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 9.94/7.61 tff(34548,plain,
% 9.94/7.61 (~m_main_v_state1(s107, c_t1)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34547, 10, 8905])).
% 9.94/7.61 tff(34549,plain,
% 9.94/7.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s107, c_t1) | (~node20(s107)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s107, c_t1) | (~node20(s107)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34550,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s107, c_t1) | (~node20(s107)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34551,plain,
% 9.94/7.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s107, c_t1) | (~node20(s107))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 9.94/7.61 tff(34552,plain,
% 9.94/7.61 (~node20(s107)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34551, 32116, 34548])).
% 9.94/7.61 tff(34553,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s106)) | (~m_main_v_state1(s106, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s106)) | (~m_main_v_state1(s106, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34554,plain,
% 9.94/7.61 (((~m_main_v_state1(s106, c_c1)) | (~always19(s106))) <=> ((~always19(s106)) | (~m_main_v_state1(s106, c_c1)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34555,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s106, c_c1)) | (~always19(s106)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s106)) | (~m_main_v_state1(s106, c_c1))))),
% 9.94/7.61 inference(monotonicity,[status(thm)],[34554])).
% 9.94/7.61 tff(34556,plain,
% 9.94/7.61 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s106, c_c1)) | (~always19(s106)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s106)) | (~m_main_v_state1(s106, c_c1)))),
% 9.94/7.61 inference(transitivity,[status(thm)],[34555, 34553])).
% 9.94/7.61 tff(34557,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s106, c_c1)) | (~always19(s106)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34558,plain,
% 9.94/7.61 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s106)) | (~m_main_v_state1(s106, c_c1))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34557, 34556])).
% 9.94/7.61 tff(34559,plain,
% 9.94/7.61 (~always19(s106)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34558, 28559, 8823])).
% 9.94/7.61 tff(34560,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s105, s106)) | (~always19(s105)) | always19(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s105, s106)) | (~always19(s105)) | always19(s106))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34561,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s105, s106)) | (~always19(s105)) | always19(s106))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34562,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s105, s106)) | (~always19(s105)) | always19(s106)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34561, 34560])).
% 9.94/7.61 tff(34563,plain,
% 9.94/7.61 ((~always19(s105)) | always19(s106)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34562, 28576, 8739])).
% 9.94/7.61 tff(34564,plain,
% 9.94/7.61 (~always19(s105)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34563, 34559])).
% 9.94/7.61 tff(34565,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s105) | (~node20(s105)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s105) | (~node20(s105)))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34566,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s105) | (~node20(s105)))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34567,plain,
% 9.94/7.61 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s105) | (~node20(s105))),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34566, 34565])).
% 9.94/7.61 tff(34568,plain,
% 9.94/7.61 (~node20(s105)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34567, 32139, 34564])).
% 9.94/7.61 tff(34569,plain,
% 9.94/7.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s104, s105)) | (~always19(s104)) | always19(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s104, s105)) | (~always19(s104)) | always19(s105))),
% 9.94/7.61 inference(rewrite,[status(thm)],[])).
% 9.94/7.61 tff(34570,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s104, s105)) | (~always19(s104)) | always19(s105))),
% 9.94/7.61 inference(quant_inst,[status(thm)],[])).
% 9.94/7.61 tff(34571,plain,
% 9.94/7.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s104, s105)) | (~always19(s104)) | always19(s105)),
% 9.94/7.61 inference(modus_ponens,[status(thm)],[34570, 34569])).
% 9.94/7.61 tff(34572,plain,
% 9.94/7.61 ((~always19(s104)) | always19(s105)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34571, 28576, 8672])).
% 9.94/7.61 tff(34573,plain,
% 9.94/7.61 (~always19(s104)),
% 9.94/7.61 inference(unit_resolution,[status(thm)],[34572, 34564])).
% 9.94/7.61 tff(34574,plain,
% 9.94/7.61 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s104) | (~node20(s104)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s104) | (~node20(s104)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34575,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s104) | (~node20(s104)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34576,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s104) | (~node20(s104))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34575, 34574])).
% 9.94/7.62 tff(34577,plain,
% 9.94/7.62 (~node20(s104)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34576, 32139, 34573])).
% 9.94/7.62 tff(34578,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state1(s103, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state1(s103, c_t1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34579,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state1(s103, c_t1)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34580,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state1(s103, c_t1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 9.94/7.62 tff(34581,plain,
% 9.94/7.62 (~m_main_v_state1(s103, c_t1)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34580, 10, 8520])).
% 9.94/7.62 tff(34582,plain,
% 9.94/7.62 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s103, c_t1) | (~node20(s103)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s103, c_t1) | (~node20(s103)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34583,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s103, c_t1) | (~node20(s103)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34584,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s103, c_t1) | (~node20(s103))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 9.94/7.62 tff(34585,plain,
% 9.94/7.62 (~node20(s103)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34584, 32116, 34581])).
% 9.94/7.62 tff(34586,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s102)) | (~m_main_v_state1(s102, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s102)) | (~m_main_v_state1(s102, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34587,plain,
% 9.94/7.62 (((~m_main_v_state1(s102, c_c1)) | (~always19(s102))) <=> ((~always19(s102)) | (~m_main_v_state1(s102, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34588,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s102, c_c1)) | (~always19(s102)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s102)) | (~m_main_v_state1(s102, c_c1))))),
% 9.94/7.62 inference(monotonicity,[status(thm)],[34587])).
% 9.94/7.62 tff(34589,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s102, c_c1)) | (~always19(s102)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s102)) | (~m_main_v_state1(s102, c_c1)))),
% 9.94/7.62 inference(transitivity,[status(thm)],[34588, 34586])).
% 9.94/7.62 tff(34590,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s102, c_c1)) | (~always19(s102)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34591,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s102)) | (~m_main_v_state1(s102, c_c1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 9.94/7.62 tff(34592,plain,
% 9.94/7.62 (~always19(s102)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34591, 28559, 8456])).
% 9.94/7.62 tff(34593,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s101, s102)) | (~always19(s101)) | always19(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s101, s102)) | (~always19(s101)) | always19(s102))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34594,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s101, s102)) | (~always19(s101)) | always19(s102))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34595,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s101, s102)) | (~always19(s101)) | always19(s102)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 9.94/7.62 tff(34596,plain,
% 9.94/7.62 ((~always19(s101)) | always19(s102)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34595, 28576, 8444])).
% 9.94/7.62 tff(34597,plain,
% 9.94/7.62 (~always19(s101)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34596, 34592])).
% 9.94/7.62 tff(34598,plain,
% 9.94/7.62 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s101) | (~node20(s101)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s101) | (~node20(s101)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34599,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s101) | (~node20(s101)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34600,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s101) | (~node20(s101))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 9.94/7.62 tff(34601,plain,
% 9.94/7.62 (~node20(s101)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34600, 32139, 34597])).
% 9.94/7.62 tff(34602,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s100, s101)) | (~always19(s100)) | always19(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s100, s101)) | (~always19(s100)) | always19(s101))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34603,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s100, s101)) | (~always19(s100)) | always19(s101))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34604,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s100, s101)) | (~always19(s100)) | always19(s101)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34603, 34602])).
% 9.94/7.62 tff(34605,plain,
% 9.94/7.62 ((~always19(s100)) | always19(s101)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34604, 28576, 8349])).
% 9.94/7.62 tff(34606,plain,
% 9.94/7.62 (~always19(s100)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34605, 34597])).
% 9.94/7.62 tff(34607,plain,
% 9.94/7.62 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s100) | (~node20(s100)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s100) | (~node20(s100)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34608,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s100) | (~node20(s100)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34609,plain,
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34608, 34607])).
% 9.94/7.62 tff(34610,plain,
% 9.94/7.62 (~node20(s100)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34609, 32139, 34606])).
% 9.94/7.62 tff(34611,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34612,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34613,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 9.94/7.62 tff(34614,plain,
% 9.94/7.62 (~m_main_v_state1(s99, c_t1)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34613, 10, 8277])).
% 9.94/7.62 tff(34615,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34616,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s99, c_t1) | (~node20(s99)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34617,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s99, c_t1) | (~node20(s99))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 9.94/7.62 tff(34618,plain,
% 9.94/7.62 (~node20(s99)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34617, 32116, 34614])).
% 9.94/7.62 tff(34619,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34620,plain,
% 9.94/7.62 (((~m_main_v_state1(s98, c_c1)) | (~always19(s98))) <=> ((~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34621,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s98)) | (~m_main_v_state1(s98, c_c1))))),
% 9.94/7.62 inference(monotonicity,[status(thm)],[34620])).
% 9.94/7.62 tff(34622,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 9.94/7.62 inference(transitivity,[status(thm)],[34621, 34619])).
% 9.94/7.62 tff(34623,plain,
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34624,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 9.94/7.62 tff(34625,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34624, 28559, 8195])).
% 9.94/7.62 tff(34626,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34627,plain,
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34628,plain,
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 9.94/7.62 tff(34629,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34628, 28576, 8111])).
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34629, 34625])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34633,plain,
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34632, 34631])).
% 9.94/7.62 tff(34634,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34633, 32139, 34630])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34636,plain,
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34637,plain,
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34636, 34635])).
% 9.94/7.62 tff(34638,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34637, 28576, 8044])).
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34638, 34630])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34641, 34640])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34645,plain,
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34646,plain,
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34645, 34644])).
% 9.94/7.62 tff(34647,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34646, 10, 7892])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34649, 34648])).
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34650, 32116, 34647])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34653,plain,
% 9.94/7.62 (((~m_main_v_state1(s94, c_c1)) | (~always19(s94))) <=> ((~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(monotonicity,[status(thm)],[34653])).
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% 9.94/7.62 inference(transitivity,[status(thm)],[34654, 34652])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34656, 34655])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
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% 9.94/7.62 inference(modus_ponens,[status(thm)],[34660, 34659])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34675, 32139, 34672])).
% 9.94/7.62 tff(34677,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34678,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34679,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34678, 34677])).
% 9.94/7.62 tff(34680,plain,
% 9.94/7.62 (~m_main_v_state1(s91, c_t1)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34679, 10, 7649])).
% 9.94/7.62 tff(34681,plain,
% 9.94/7.62 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s91, c_t1) | (~node20(s91)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s91, c_t1) | (~node20(s91)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34682,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s91, c_t1) | (~node20(s91)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34683,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s91, c_t1) | (~node20(s91))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34682, 34681])).
% 9.94/7.62 tff(34684,plain,
% 9.94/7.62 (~node20(s91)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34683, 32116, 34680])).
% 9.94/7.62 tff(34685,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s90)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34686,plain,
% 9.94/7.62 (((~m_main_v_state1(s90, c_c1)) | (~always19(s90))) <=> ((~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34687,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s90)) | (~m_main_v_state1(s90, c_c1))))),
% 9.94/7.62 inference(monotonicity,[status(thm)],[34686])).
% 9.94/7.62 tff(34688,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 9.94/7.62 inference(transitivity,[status(thm)],[34687, 34685])).
% 9.94/7.62 tff(34689,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34690,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34689, 34688])).
% 9.94/7.62 tff(34691,plain,
% 9.94/7.62 (~always19(s90)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34690, 28559, 7567])).
% 9.94/7.62 tff(34692,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s89, s90)) | (~always19(s89)) | always19(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s89, s90)) | (~always19(s89)) | always19(s90))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34693,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s89, s90)) | (~always19(s89)) | always19(s90))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34694,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s89, s90)) | (~always19(s89)) | always19(s90)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34693, 34692])).
% 9.94/7.62 tff(34695,plain,
% 9.94/7.62 ((~always19(s89)) | always19(s90)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34694, 28576, 7483])).
% 9.94/7.62 tff(34696,plain,
% 9.94/7.62 (~always19(s89)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34695, 34691])).
% 9.94/7.62 tff(34697,plain,
% 9.94/7.62 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s89) | (~node20(s89)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s89) | (~node20(s89)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34698,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s89) | (~node20(s89)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34699,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s89) | (~node20(s89))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34698, 34697])).
% 9.94/7.62 tff(34700,plain,
% 9.94/7.62 (~node20(s89)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34699, 32139, 34696])).
% 9.94/7.62 tff(34701,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s88, s89)) | (~always19(s88)) | always19(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s88, s89)) | (~always19(s88)) | always19(s89))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34702,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s88, s89)) | (~always19(s88)) | always19(s89))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34703,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s88, s89)) | (~always19(s88)) | always19(s89)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34702, 34701])).
% 9.94/7.62 tff(34704,plain,
% 9.94/7.62 ((~always19(s88)) | always19(s89)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34703, 28576, 7416])).
% 9.94/7.62 tff(34705,plain,
% 9.94/7.62 (~always19(s88)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34704, 34696])).
% 9.94/7.62 tff(34706,plain,
% 9.94/7.62 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s88) | (~node20(s88)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s88) | (~node20(s88)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34707,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s88) | (~node20(s88)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34708,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s88) | (~node20(s88))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34707, 34706])).
% 9.94/7.62 tff(34709,plain,
% 9.94/7.62 (~node20(s88)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34708, 32139, 34705])).
% 9.94/7.62 tff(34710,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34711,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34712,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34711, 34710])).
% 9.94/7.62 tff(34713,plain,
% 9.94/7.62 (~m_main_v_state1(s87, c_t1)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34712, 10, 7264])).
% 9.94/7.62 tff(34714,plain,
% 9.94/7.62 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s87, c_t1) | (~node20(s87)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s87, c_t1) | (~node20(s87)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34715,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s87, c_t1) | (~node20(s87)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34716,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s87, c_t1) | (~node20(s87))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34715, 34714])).
% 9.94/7.62 tff(34717,plain,
% 9.94/7.62 (~node20(s87)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34716, 32116, 34713])).
% 9.94/7.62 tff(34718,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s86)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34719,plain,
% 9.94/7.62 (((~m_main_v_state1(s86, c_c1)) | (~always19(s86))) <=> ((~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34720,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s86)) | (~m_main_v_state1(s86, c_c1))))),
% 9.94/7.62 inference(monotonicity,[status(thm)],[34719])).
% 9.94/7.62 tff(34721,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 9.94/7.62 inference(transitivity,[status(thm)],[34720, 34718])).
% 9.94/7.62 tff(34722,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34723,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34722, 34721])).
% 9.94/7.62 tff(34724,plain,
% 9.94/7.62 (~always19(s86)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34723, 28559, 7200])).
% 9.94/7.62 tff(34725,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s85, s86)) | (~always19(s85)) | always19(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s85, s86)) | (~always19(s85)) | always19(s86))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34726,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s85, s86)) | (~always19(s85)) | always19(s86))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34727,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s85, s86)) | (~always19(s85)) | always19(s86)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34726, 34725])).
% 9.94/7.62 tff(34728,plain,
% 9.94/7.62 ((~always19(s85)) | always19(s86)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34727, 28576, 7188])).
% 9.94/7.62 tff(34729,plain,
% 9.94/7.62 (~always19(s85)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34728, 34724])).
% 9.94/7.62 tff(34730,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34731,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s85) | (~node20(s85)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34732,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s85) | (~node20(s85))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 9.94/7.62 tff(34733,plain,
% 9.94/7.62 (~node20(s85)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34732, 32139, 34729])).
% 9.94/7.62 tff(34734,plain,
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% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34735,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s84, s85)) | (~always19(s84)) | always19(s85))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34736,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s84, s85)) | (~always19(s84)) | always19(s85)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 9.94/7.62 tff(34737,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34736, 28576, 7093])).
% 9.94/7.62 tff(34738,plain,
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% 9.94/7.62 inference(unit_resolution,[status(thm)],[34737, 34729])).
% 9.94/7.62 tff(34739,plain,
% 9.94/7.62 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s84) | (~node20(s84)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s84) | (~node20(s84)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34740,plain,
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% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34741,plain,
% 9.94/7.62 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s84) | (~node20(s84))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34740, 34739])).
% 9.94/7.62 tff(34742,plain,
% 9.94/7.62 (~node20(s84)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34741, 32139, 34738])).
% 9.94/7.62 tff(34743,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34744,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34745,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34744, 34743])).
% 9.94/7.62 tff(34746,plain,
% 9.94/7.62 (~m_main_v_state1(s83, c_t1)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34745, 10, 7021])).
% 9.94/7.62 tff(34747,plain,
% 9.94/7.62 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s83, c_t1) | (~node20(s83)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s83, c_t1) | (~node20(s83)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34748,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s83, c_t1) | (~node20(s83)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34749,plain,
% 9.94/7.62 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s83, c_t1) | (~node20(s83))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 9.94/7.62 tff(34750,plain,
% 9.94/7.62 (~node20(s83)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34749, 32116, 34746])).
% 9.94/7.62 tff(34751,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s82)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34752,plain,
% 9.94/7.62 (((~m_main_v_state1(s82, c_c1)) | (~always19(s82))) <=> ((~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34753,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s82)) | (~m_main_v_state1(s82, c_c1))))),
% 9.94/7.62 inference(monotonicity,[status(thm)],[34752])).
% 9.94/7.62 tff(34754,plain,
% 9.94/7.62 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 9.94/7.62 inference(transitivity,[status(thm)],[34753, 34751])).
% 9.94/7.62 tff(34755,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34756,plain,
% 9.94/7.62 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1))),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34755, 34754])).
% 9.94/7.62 tff(34757,plain,
% 9.94/7.62 (~always19(s82)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34756, 28559, 6939])).
% 9.94/7.62 tff(34758,plain,
% 9.94/7.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s81, s82)) | (~always19(s81)) | always19(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s81, s82)) | (~always19(s81)) | always19(s82))),
% 9.94/7.62 inference(rewrite,[status(thm)],[])).
% 9.94/7.62 tff(34759,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s81, s82)) | (~always19(s81)) | always19(s82))),
% 9.94/7.62 inference(quant_inst,[status(thm)],[])).
% 9.94/7.62 tff(34760,plain,
% 9.94/7.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s81, s82)) | (~always19(s81)) | always19(s82)),
% 9.94/7.62 inference(modus_ponens,[status(thm)],[34759, 34758])).
% 9.94/7.62 tff(34761,plain,
% 9.94/7.62 ((~always19(s81)) | always19(s82)),
% 9.94/7.62 inference(unit_resolution,[status(thm)],[34760, 28576, 6855])).
% 9.94/7.62 tff(34762,plain,
% 9.94/7.63 (~always19(s81)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34761, 34757])).
% 9.94/7.63 tff(34763,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s81) | (~node20(s81)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s81) | (~node20(s81)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34764,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s81) | (~node20(s81)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34765,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s81) | (~node20(s81))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 9.94/7.63 tff(34766,plain,
% 9.94/7.63 (~node20(s81)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34765, 32139, 34762])).
% 9.94/7.63 tff(34767,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s80, s81)) | (~always19(s80)) | always19(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s80, s81)) | (~always19(s80)) | always19(s81))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34768,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s80, s81)) | (~always19(s80)) | always19(s81))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34769,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s80, s81)) | (~always19(s80)) | always19(s81)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 9.94/7.63 tff(34770,plain,
% 9.94/7.63 ((~always19(s80)) | always19(s81)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34769, 28576, 6788])).
% 9.94/7.63 tff(34771,plain,
% 9.94/7.63 (~always19(s80)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34770, 34762])).
% 9.94/7.63 tff(34772,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s80) | (~node20(s80)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s80) | (~node20(s80)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34773,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s80) | (~node20(s80)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34774,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s80) | (~node20(s80))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34773, 34772])).
% 9.94/7.63 tff(34775,plain,
% 9.94/7.63 (~node20(s80)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34774, 32139, 34771])).
% 9.94/7.63 tff(34776,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34777,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34778,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34777, 34776])).
% 9.94/7.63 tff(34779,plain,
% 9.94/7.63 (~m_main_v_state1(s79, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34778, 10, 6636])).
% 9.94/7.63 tff(34780,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s79, c_t1) | (~node20(s79)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s79, c_t1) | (~node20(s79)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34781,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s79, c_t1) | (~node20(s79)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34782,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s79, c_t1) | (~node20(s79))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34781, 34780])).
% 9.94/7.63 tff(34783,plain,
% 9.94/7.63 (~node20(s79)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34782, 32116, 34779])).
% 9.94/7.63 tff(34784,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s78)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34785,plain,
% 9.94/7.63 (((~m_main_v_state1(s78, c_c1)) | (~always19(s78))) <=> ((~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34786,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s78)) | (~m_main_v_state1(s78, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34785])).
% 9.94/7.63 tff(34787,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 9.94/7.63 inference(transitivity,[status(thm)],[34786, 34784])).
% 9.94/7.63 tff(34788,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34789,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34788, 34787])).
% 9.94/7.63 tff(34790,plain,
% 9.94/7.63 (~always19(s78)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34789, 28559, 6572])).
% 9.94/7.63 tff(34791,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s77, s78)) | (~always19(s77)) | always19(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s77, s78)) | (~always19(s77)) | always19(s78))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34792,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s77, s78)) | (~always19(s77)) | always19(s78))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34793,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s77, s78)) | (~always19(s77)) | always19(s78)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 9.94/7.63 tff(34794,plain,
% 9.94/7.63 ((~always19(s77)) | always19(s78)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34793, 28576, 6560])).
% 9.94/7.63 tff(34795,plain,
% 9.94/7.63 (~always19(s77)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34794, 34790])).
% 9.94/7.63 tff(34796,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s77) | (~node20(s77)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s77) | (~node20(s77)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34797,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s77) | (~node20(s77)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34798,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s77) | (~node20(s77))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 9.94/7.63 tff(34799,plain,
% 9.94/7.63 (~node20(s77)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34798, 32139, 34795])).
% 9.94/7.63 tff(34800,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s76, s77)) | (~always19(s76)) | always19(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s76, s77)) | (~always19(s76)) | always19(s77))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34801,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s76, s77)) | (~always19(s76)) | always19(s77))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34802,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s76, s77)) | (~always19(s76)) | always19(s77)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 9.94/7.63 tff(34803,plain,
% 9.94/7.63 ((~always19(s76)) | always19(s77)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34802, 28576, 6465])).
% 9.94/7.63 tff(34804,plain,
% 9.94/7.63 (~always19(s76)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34803, 34795])).
% 9.94/7.63 tff(34805,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s76) | (~node20(s76)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s76) | (~node20(s76)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34806,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s76) | (~node20(s76)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34807,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s76) | (~node20(s76))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34806, 34805])).
% 9.94/7.63 tff(34808,plain,
% 9.94/7.63 (~node20(s76)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34807, 32139, 34804])).
% 9.94/7.63 tff(34809,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34810,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34811,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34810, 34809])).
% 9.94/7.63 tff(34812,plain,
% 9.94/7.63 (~m_main_v_state1(s75, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34811, 10, 6393])).
% 9.94/7.63 tff(34813,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s75, c_t1) | (~node20(s75)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s75, c_t1) | (~node20(s75)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34814,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s75, c_t1) | (~node20(s75)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34815,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s75, c_t1) | (~node20(s75))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34814, 34813])).
% 9.94/7.63 tff(34816,plain,
% 9.94/7.63 (~node20(s75)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34815, 32116, 34812])).
% 9.94/7.63 tff(34817,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s74)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34818,plain,
% 9.94/7.63 (((~m_main_v_state1(s74, c_c1)) | (~always19(s74))) <=> ((~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34819,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s74)) | (~m_main_v_state1(s74, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34818])).
% 9.94/7.63 tff(34820,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 9.94/7.63 inference(transitivity,[status(thm)],[34819, 34817])).
% 9.94/7.63 tff(34821,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34822,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34821, 34820])).
% 9.94/7.63 tff(34823,plain,
% 9.94/7.63 (~always19(s74)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34822, 28559, 6311])).
% 9.94/7.63 tff(34824,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s73, s74)) | (~always19(s73)) | always19(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s73, s74)) | (~always19(s73)) | always19(s74))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34825,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s73, s74)) | (~always19(s73)) | always19(s74))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34826,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s73, s74)) | (~always19(s73)) | always19(s74)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34825, 34824])).
% 9.94/7.63 tff(34827,plain,
% 9.94/7.63 ((~always19(s73)) | always19(s74)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34826, 28576, 6227])).
% 9.94/7.63 tff(34828,plain,
% 9.94/7.63 (~always19(s73)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34827, 34823])).
% 9.94/7.63 tff(34829,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s73) | (~node20(s73)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s73) | (~node20(s73)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34830,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s73) | (~node20(s73)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34831,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s73) | (~node20(s73))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 9.94/7.63 tff(34832,plain,
% 9.94/7.63 (~node20(s73)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34831, 32139, 34828])).
% 9.94/7.63 tff(34833,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s72, s73)) | (~always19(s72)) | always19(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s72, s73)) | (~always19(s72)) | always19(s73))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34834,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s72, s73)) | (~always19(s72)) | always19(s73))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34835,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s72, s73)) | (~always19(s72)) | always19(s73)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34834, 34833])).
% 9.94/7.63 tff(34836,plain,
% 9.94/7.63 ((~always19(s72)) | always19(s73)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34835, 28576, 6160])).
% 9.94/7.63 tff(34837,plain,
% 9.94/7.63 (~always19(s72)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34836, 34828])).
% 9.94/7.63 tff(34838,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s72) | (~node20(s72)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s72) | (~node20(s72)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34839,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s72) | (~node20(s72)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34840,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s72) | (~node20(s72))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 9.94/7.63 tff(34841,plain,
% 9.94/7.63 (~node20(s72)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34840, 32139, 34837])).
% 9.94/7.63 tff(34842,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34843,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34844,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34843, 34842])).
% 9.94/7.63 tff(34845,plain,
% 9.94/7.63 (~m_main_v_state1(s71, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34844, 10, 6008])).
% 9.94/7.63 tff(34846,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s71, c_t1) | (~node20(s71)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s71, c_t1) | (~node20(s71)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34847,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s71, c_t1) | (~node20(s71)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34848,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s71, c_t1) | (~node20(s71))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 9.94/7.63 tff(34849,plain,
% 9.94/7.63 (~node20(s71)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34848, 32116, 34845])).
% 9.94/7.63 tff(34850,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s70)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34851,plain,
% 9.94/7.63 (((~m_main_v_state1(s70, c_c1)) | (~always19(s70))) <=> ((~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34852,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s70)) | (~m_main_v_state1(s70, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34851])).
% 9.94/7.63 tff(34853,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 9.94/7.63 inference(transitivity,[status(thm)],[34852, 34850])).
% 9.94/7.63 tff(34854,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34855,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 9.94/7.63 tff(34856,plain,
% 9.94/7.63 (~always19(s70)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34855, 28559, 5944])).
% 9.94/7.63 tff(34857,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s69, s70)) | (~always19(s69)) | always19(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s69, s70)) | (~always19(s69)) | always19(s70))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34858,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s69, s70)) | (~always19(s69)) | always19(s70))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34859,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s69, s70)) | (~always19(s69)) | always19(s70)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34858, 34857])).
% 9.94/7.63 tff(34860,plain,
% 9.94/7.63 ((~always19(s69)) | always19(s70)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34859, 28576, 5932])).
% 9.94/7.63 tff(34861,plain,
% 9.94/7.63 (~always19(s69)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34860, 34856])).
% 9.94/7.63 tff(34862,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s69) | (~node20(s69)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s69) | (~node20(s69)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34863,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s69) | (~node20(s69)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34864,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s69) | (~node20(s69))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34863, 34862])).
% 9.94/7.63 tff(34865,plain,
% 9.94/7.63 (~node20(s69)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34864, 32139, 34861])).
% 9.94/7.63 tff(34866,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s68, s69)) | (~always19(s68)) | always19(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s68, s69)) | (~always19(s68)) | always19(s69))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34867,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s68, s69)) | (~always19(s68)) | always19(s69))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34868,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s68, s69)) | (~always19(s68)) | always19(s69)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34867, 34866])).
% 9.94/7.63 tff(34869,plain,
% 9.94/7.63 ((~always19(s68)) | always19(s69)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34868, 28576, 5837])).
% 9.94/7.63 tff(34870,plain,
% 9.94/7.63 (~always19(s68)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34869, 34861])).
% 9.94/7.63 tff(34871,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s68) | (~node20(s68)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s68) | (~node20(s68)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34872,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s68) | (~node20(s68)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34873,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s68) | (~node20(s68))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 9.94/7.63 tff(34874,plain,
% 9.94/7.63 (~node20(s68)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34873, 32139, 34870])).
% 9.94/7.63 tff(34875,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34876,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34877,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34876, 34875])).
% 9.94/7.63 tff(34878,plain,
% 9.94/7.63 (~m_main_v_state1(s67, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34877, 10, 5765])).
% 9.94/7.63 tff(34879,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s67, c_t1) | (~node20(s67)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s67, c_t1) | (~node20(s67)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34880,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s67, c_t1) | (~node20(s67)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34881,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s67, c_t1) | (~node20(s67))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34880, 34879])).
% 9.94/7.63 tff(34882,plain,
% 9.94/7.63 (~node20(s67)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34881, 32116, 34878])).
% 9.94/7.63 tff(34883,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s66)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34884,plain,
% 9.94/7.63 (((~m_main_v_state1(s66, c_c1)) | (~always19(s66))) <=> ((~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34885,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s66)) | (~m_main_v_state1(s66, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34884])).
% 9.94/7.63 tff(34886,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 9.94/7.63 inference(transitivity,[status(thm)],[34885, 34883])).
% 9.94/7.63 tff(34887,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34888,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 9.94/7.63 tff(34889,plain,
% 9.94/7.63 (~always19(s66)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34888, 28559, 5683])).
% 9.94/7.63 tff(34890,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s65, s66)) | (~always19(s65)) | always19(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s65, s66)) | (~always19(s65)) | always19(s66))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34891,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s65, s66)) | (~always19(s65)) | always19(s66))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34892,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s65, s66)) | (~always19(s65)) | always19(s66)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 9.94/7.63 tff(34893,plain,
% 9.94/7.63 ((~always19(s65)) | always19(s66)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34892, 28576, 5599])).
% 9.94/7.63 tff(34894,plain,
% 9.94/7.63 (~always19(s65)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34893, 34889])).
% 9.94/7.63 tff(34895,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s65) | (~node20(s65)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s65) | (~node20(s65)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34896,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s65) | (~node20(s65)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34897,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s65) | (~node20(s65))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34896, 34895])).
% 9.94/7.63 tff(34898,plain,
% 9.94/7.63 (~node20(s65)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34897, 32139, 34894])).
% 9.94/7.63 tff(34899,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s65)) | (~always19(s64)) | always19(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s64, s65)) | (~always19(s64)) | always19(s65))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34900,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s65)) | (~always19(s64)) | always19(s65))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34901,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s64, s65)) | (~always19(s64)) | always19(s65)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34900, 34899])).
% 9.94/7.63 tff(34902,plain,
% 9.94/7.63 ((~always19(s64)) | always19(s65)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34901, 28576, 5532])).
% 9.94/7.63 tff(34903,plain,
% 9.94/7.63 (~always19(s64)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34902, 34894])).
% 9.94/7.63 tff(34904,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34905,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34906,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 9.94/7.63 tff(34907,plain,
% 9.94/7.63 (~node20(s64)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34906, 32139, 34903])).
% 9.94/7.63 tff(34908,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34909,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34910,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34909, 34908])).
% 9.94/7.63 tff(34911,plain,
% 9.94/7.63 (~m_main_v_state1(s63, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34910, 10, 5380])).
% 9.94/7.63 tff(34912,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s63, c_t1) | (~node20(s63)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s63, c_t1) | (~node20(s63)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34913,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s63, c_t1) | (~node20(s63)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34914,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s63, c_t1) | (~node20(s63))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34913, 34912])).
% 9.94/7.63 tff(34915,plain,
% 9.94/7.63 (~node20(s63)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34914, 32116, 34911])).
% 9.94/7.63 tff(34916,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s62)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34917,plain,
% 9.94/7.63 (((~m_main_v_state1(s62, c_c1)) | (~always19(s62))) <=> ((~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34918,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s62)) | (~m_main_v_state1(s62, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34917])).
% 9.94/7.63 tff(34919,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 9.94/7.63 inference(transitivity,[status(thm)],[34918, 34916])).
% 9.94/7.63 tff(34920,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34921,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 9.94/7.63 tff(34922,plain,
% 9.94/7.63 (~always19(s62)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34921, 28559, 5316])).
% 9.94/7.63 tff(34923,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s61, s62)) | (~always19(s61)) | always19(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s61, s62)) | (~always19(s61)) | always19(s62))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34924,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s61, s62)) | (~always19(s61)) | always19(s62))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34925,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s61, s62)) | (~always19(s61)) | always19(s62)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34924, 34923])).
% 9.94/7.63 tff(34926,plain,
% 9.94/7.63 ((~always19(s61)) | always19(s62)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34925, 28576, 5304])).
% 9.94/7.63 tff(34927,plain,
% 9.94/7.63 (~always19(s61)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34926, 34922])).
% 9.94/7.63 tff(34928,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34929,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34930,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34929, 34928])).
% 9.94/7.63 tff(34931,plain,
% 9.94/7.63 (~node20(s61)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34930, 32139, 34927])).
% 9.94/7.63 tff(34932,plain,
% 9.94/7.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s60, s61)) | (~always19(s60)) | always19(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s60, s61)) | (~always19(s60)) | always19(s61))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34933,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s60, s61)) | (~always19(s60)) | always19(s61))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34934,plain,
% 9.94/7.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s60, s61)) | (~always19(s60)) | always19(s61)),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 9.94/7.63 tff(34935,plain,
% 9.94/7.63 ((~always19(s60)) | always19(s61)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34934, 28576, 5209])).
% 9.94/7.63 tff(34936,plain,
% 9.94/7.63 (~always19(s60)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34935, 34927])).
% 9.94/7.63 tff(34937,plain,
% 9.94/7.63 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34938,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34939,plain,
% 9.94/7.63 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34938, 34937])).
% 9.94/7.63 tff(34940,plain,
% 9.94/7.63 (~node20(s60)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34939, 32139, 34936])).
% 9.94/7.63 tff(34941,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34942,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34943,plain,
% 9.94/7.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34942, 34941])).
% 9.94/7.63 tff(34944,plain,
% 9.94/7.63 (~m_main_v_state1(s59, c_t1)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34943, 10, 5137])).
% 9.94/7.63 tff(34945,plain,
% 9.94/7.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s59, c_t1) | (~node20(s59)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s59, c_t1) | (~node20(s59)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34946,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s59, c_t1) | (~node20(s59)))),
% 9.94/7.63 inference(quant_inst,[status(thm)],[])).
% 9.94/7.63 tff(34947,plain,
% 9.94/7.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s59, c_t1) | (~node20(s59))),
% 9.94/7.63 inference(modus_ponens,[status(thm)],[34946, 34945])).
% 9.94/7.63 tff(34948,plain,
% 9.94/7.63 (~node20(s59)),
% 9.94/7.63 inference(unit_resolution,[status(thm)],[34947, 32116, 34944])).
% 9.94/7.63 tff(34949,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s58)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34950,plain,
% 9.94/7.63 (((~m_main_v_state1(s58, c_c1)) | (~always19(s58))) <=> ((~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 9.94/7.63 inference(rewrite,[status(thm)],[])).
% 9.94/7.63 tff(34951,plain,
% 9.94/7.63 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s58)) | (~m_main_v_state1(s58, c_c1))))),
% 9.94/7.63 inference(monotonicity,[status(thm)],[34950])).
% 9.94/7.64 tff(34952,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 9.94/7.64 inference(transitivity,[status(thm)],[34951, 34949])).
% 9.94/7.64 tff(34953,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34954,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34953, 34952])).
% 9.94/7.64 tff(34955,plain,
% 9.94/7.64 (~always19(s58)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34954, 28559, 5055])).
% 9.94/7.64 tff(34956,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s57, s58)) | (~always19(s57)) | always19(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s57, s58)) | (~always19(s57)) | always19(s58))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34957,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s57, s58)) | (~always19(s57)) | always19(s58))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34958,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s57, s58)) | (~always19(s57)) | always19(s58)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34957, 34956])).
% 9.94/7.64 tff(34959,plain,
% 9.94/7.64 ((~always19(s57)) | always19(s58)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34958, 28576, 4971])).
% 9.94/7.64 tff(34960,plain,
% 9.94/7.64 (~always19(s57)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34959, 34955])).
% 9.94/7.64 tff(34961,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34962,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34963,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34962, 34961])).
% 9.94/7.64 tff(34964,plain,
% 9.94/7.64 (~node20(s57)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34963, 32139, 34960])).
% 9.94/7.64 tff(34965,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s56, s57)) | (~always19(s56)) | always19(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s56, s57)) | (~always19(s56)) | always19(s57))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34966,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s56, s57)) | (~always19(s56)) | always19(s57))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34967,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s56, s57)) | (~always19(s56)) | always19(s57)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34966, 34965])).
% 9.94/7.64 tff(34968,plain,
% 9.94/7.64 ((~always19(s56)) | always19(s57)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34967, 28576, 4904])).
% 9.94/7.64 tff(34969,plain,
% 9.94/7.64 (~always19(s56)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34968, 34960])).
% 9.94/7.64 tff(34970,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34971,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34972,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 9.94/7.64 tff(34973,plain,
% 9.94/7.64 (~node20(s56)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34972, 32139, 34969])).
% 9.94/7.64 tff(34974,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34975,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34976,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 9.94/7.64 tff(34977,plain,
% 9.94/7.64 (~m_main_v_state1(s55, c_t1)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34976, 10, 4752])).
% 9.94/7.64 tff(34978,plain,
% 9.94/7.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s55, c_t1) | (~node20(s55)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s55, c_t1) | (~node20(s55)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34979,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s55, c_t1) | (~node20(s55)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34980,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s55, c_t1) | (~node20(s55))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 9.94/7.64 tff(34981,plain,
% 9.94/7.64 (~node20(s55)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34980, 32116, 34977])).
% 9.94/7.64 tff(34982,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s54)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34983,plain,
% 9.94/7.64 (((~m_main_v_state1(s54, c_c1)) | (~always19(s54))) <=> ((~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34984,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s54)) | (~m_main_v_state1(s54, c_c1))))),
% 9.94/7.64 inference(monotonicity,[status(thm)],[34983])).
% 9.94/7.64 tff(34985,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 9.94/7.64 inference(transitivity,[status(thm)],[34984, 34982])).
% 9.94/7.64 tff(34986,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34987,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34986, 34985])).
% 9.94/7.64 tff(34988,plain,
% 9.94/7.64 (~always19(s54)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34987, 28559, 4688])).
% 9.94/7.64 tff(34989,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s53, s54)) | (~always19(s53)) | always19(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s53, s54)) | (~always19(s53)) | always19(s54))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34990,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s53, s54)) | (~always19(s53)) | always19(s54))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34991,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s53, s54)) | (~always19(s53)) | always19(s54)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 9.94/7.64 tff(34992,plain,
% 9.94/7.64 ((~always19(s53)) | always19(s54)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34991, 28576, 4676])).
% 9.94/7.64 tff(34993,plain,
% 9.94/7.64 (~always19(s53)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34992, 34988])).
% 9.94/7.64 tff(34994,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34995,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(34996,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 9.94/7.64 tff(34997,plain,
% 9.94/7.64 (~node20(s53)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[34996, 32139, 34993])).
% 9.94/7.64 tff(34998,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s52, s53)) | (~always19(s52)) | always19(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s52, s53)) | (~always19(s52)) | always19(s53))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(34999,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s52, s53)) | (~always19(s52)) | always19(s53))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35000,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s52, s53)) | (~always19(s52)) | always19(s53)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[34999, 34998])).
% 9.94/7.64 tff(35001,plain,
% 9.94/7.64 ((~always19(s52)) | always19(s53)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35000, 28576, 4581])).
% 9.94/7.64 tff(35002,plain,
% 9.94/7.64 (~always19(s52)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35001, 34993])).
% 9.94/7.64 tff(35003,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35004,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35005,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35004, 35003])).
% 9.94/7.64 tff(35006,plain,
% 9.94/7.64 (~node20(s52)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35005, 32139, 35002])).
% 9.94/7.64 tff(35007,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35008,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35009,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35008, 35007])).
% 9.94/7.64 tff(35010,plain,
% 9.94/7.64 (~m_main_v_state1(s51, c_t1)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35009, 10, 4509])).
% 9.94/7.64 tff(35011,plain,
% 9.94/7.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s51, c_t1) | (~node20(s51)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s51, c_t1) | (~node20(s51)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35012,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s51, c_t1) | (~node20(s51)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35013,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s51, c_t1) | (~node20(s51))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35012, 35011])).
% 9.94/7.64 tff(35014,plain,
% 9.94/7.64 (~node20(s51)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35013, 32116, 35010])).
% 9.94/7.64 tff(35015,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s50)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35016,plain,
% 9.94/7.64 (((~m_main_v_state1(s50, c_c1)) | (~always19(s50))) <=> ((~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35017,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s50)) | (~m_main_v_state1(s50, c_c1))))),
% 9.94/7.64 inference(monotonicity,[status(thm)],[35016])).
% 9.94/7.64 tff(35018,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 9.94/7.64 inference(transitivity,[status(thm)],[35017, 35015])).
% 9.94/7.64 tff(35019,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35020,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35019, 35018])).
% 9.94/7.64 tff(35021,plain,
% 9.94/7.64 (~always19(s50)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35020, 28559, 4427])).
% 9.94/7.64 tff(35022,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s49, s50)) | (~always19(s49)) | always19(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s49, s50)) | (~always19(s49)) | always19(s50))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35023,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s49, s50)) | (~always19(s49)) | always19(s50))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35024,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s49, s50)) | (~always19(s49)) | always19(s50)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35023, 35022])).
% 9.94/7.64 tff(35025,plain,
% 9.94/7.64 ((~always19(s49)) | always19(s50)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35024, 28576, 4343])).
% 9.94/7.64 tff(35026,plain,
% 9.94/7.64 (~always19(s49)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35025, 35021])).
% 9.94/7.64 tff(35027,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35028,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35029,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35028, 35027])).
% 9.94/7.64 tff(35030,plain,
% 9.94/7.64 (~node20(s49)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35029, 32139, 35026])).
% 9.94/7.64 tff(35031,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s48, s49)) | (~always19(s48)) | always19(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s48, s49)) | (~always19(s48)) | always19(s49))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35032,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s48, s49)) | (~always19(s48)) | always19(s49))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35033,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s48, s49)) | (~always19(s48)) | always19(s49)),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 9.94/7.64 tff(35034,plain,
% 9.94/7.64 ((~always19(s48)) | always19(s49)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35033, 28576, 4276])).
% 9.94/7.64 tff(35035,plain,
% 9.94/7.64 (~always19(s48)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35034, 35026])).
% 9.94/7.64 tff(35036,plain,
% 9.94/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35037,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35038,plain,
% 9.94/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 9.94/7.64 tff(35039,plain,
% 9.94/7.64 (~node20(s48)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35038, 32139, 35035])).
% 9.94/7.64 tff(35040,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35041,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35042,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35041, 35040])).
% 9.94/7.64 tff(35043,plain,
% 9.94/7.64 (~m_main_v_state1(s47, c_t1)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35042, 10, 4124])).
% 9.94/7.64 tff(35044,plain,
% 9.94/7.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s47, c_t1) | (~node20(s47)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s47, c_t1) | (~node20(s47)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35045,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s47, c_t1) | (~node20(s47)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35046,plain,
% 9.94/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s47, c_t1) | (~node20(s47))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 9.94/7.64 tff(35047,plain,
% 9.94/7.64 (~node20(s47)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35046, 32116, 35043])).
% 9.94/7.64 tff(35048,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s46)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35049,plain,
% 9.94/7.64 (((~m_main_v_state1(s46, c_c1)) | (~always19(s46))) <=> ((~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35050,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s46)) | (~m_main_v_state1(s46, c_c1))))),
% 9.94/7.64 inference(monotonicity,[status(thm)],[35049])).
% 9.94/7.64 tff(35051,plain,
% 9.94/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 9.94/7.64 inference(transitivity,[status(thm)],[35050, 35048])).
% 9.94/7.64 tff(35052,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))),
% 9.94/7.64 inference(quant_inst,[status(thm)],[])).
% 9.94/7.64 tff(35053,plain,
% 9.94/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1))),
% 9.94/7.64 inference(modus_ponens,[status(thm)],[35052, 35051])).
% 9.94/7.64 tff(35054,plain,
% 9.94/7.64 (~always19(s46)),
% 9.94/7.64 inference(unit_resolution,[status(thm)],[35053, 28559, 4060])).
% 9.94/7.64 tff(35055,plain,
% 9.94/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s45, s46)) | (~always19(s45)) | always19(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s45, s46)) | (~always19(s45)) | always19(s46))),
% 9.94/7.64 inference(rewrite,[status(thm)],[])).
% 9.94/7.64 tff(35056,plain,
% 9.94/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s45, s46)) | (~always19(s45)) | always19(s46))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35057,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s45, s46)) | (~always19(s45)) | always19(s46)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35056, 35055])).
% 10.01/7.64 tff(35058,plain,
% 10.01/7.64 ((~always19(s45)) | always19(s46)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35057, 28576, 4048])).
% 10.01/7.64 tff(35059,plain,
% 10.01/7.64 (~always19(s45)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35058, 35054])).
% 10.01/7.64 tff(35060,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35061,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35062,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35061, 35060])).
% 10.01/7.64 tff(35063,plain,
% 10.01/7.64 (~node20(s45)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35062, 32139, 35059])).
% 10.01/7.64 tff(35064,plain,
% 10.01/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s44, s45)) | (~always19(s44)) | always19(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s44, s45)) | (~always19(s44)) | always19(s45))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35065,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s44, s45)) | (~always19(s44)) | always19(s45))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35066,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s44, s45)) | (~always19(s44)) | always19(s45)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35065, 35064])).
% 10.01/7.64 tff(35067,plain,
% 10.01/7.64 ((~always19(s44)) | always19(s45)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35066, 28576, 3953])).
% 10.01/7.64 tff(35068,plain,
% 10.01/7.64 (~always19(s44)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35067, 35059])).
% 10.01/7.64 tff(35069,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35070,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35071,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35070, 35069])).
% 10.01/7.64 tff(35072,plain,
% 10.01/7.64 (~node20(s44)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35071, 32139, 35068])).
% 10.01/7.64 tff(35073,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35074,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35075,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35074, 35073])).
% 10.01/7.64 tff(35076,plain,
% 10.01/7.64 (~m_main_v_state1(s43, c_t1)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35075, 10, 3881])).
% 10.01/7.64 tff(35077,plain,
% 10.01/7.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s43, c_t1) | (~node20(s43)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s43, c_t1) | (~node20(s43)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35078,plain,
% 10.01/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s43, c_t1) | (~node20(s43)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35079,plain,
% 10.01/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s43, c_t1) | (~node20(s43))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35078, 35077])).
% 10.01/7.64 tff(35080,plain,
% 10.01/7.64 (~node20(s43)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35079, 32116, 35076])).
% 10.01/7.64 tff(35081,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s42)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35082,plain,
% 10.01/7.64 (((~m_main_v_state1(s42, c_c1)) | (~always19(s42))) <=> ((~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35083,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s42)) | (~m_main_v_state1(s42, c_c1))))),
% 10.01/7.64 inference(monotonicity,[status(thm)],[35082])).
% 10.01/7.64 tff(35084,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 10.01/7.64 inference(transitivity,[status(thm)],[35083, 35081])).
% 10.01/7.64 tff(35085,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35086,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35085, 35084])).
% 10.01/7.64 tff(35087,plain,
% 10.01/7.64 (~always19(s42)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35086, 28559, 3799])).
% 10.01/7.64 tff(35088,plain,
% 10.01/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s41, s42)) | (~always19(s41)) | always19(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s41, s42)) | (~always19(s41)) | always19(s42))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35089,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s41, s42)) | (~always19(s41)) | always19(s42))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35090,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s41, s42)) | (~always19(s41)) | always19(s42)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35089, 35088])).
% 10.01/7.64 tff(35091,plain,
% 10.01/7.64 ((~always19(s41)) | always19(s42)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35090, 28576, 3715])).
% 10.01/7.64 tff(35092,plain,
% 10.01/7.64 (~always19(s41)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35091, 35087])).
% 10.01/7.64 tff(35093,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35094,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35095,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 10.01/7.64 tff(35096,plain,
% 10.01/7.64 (~node20(s41)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35095, 32139, 35092])).
% 10.01/7.64 tff(35097,plain,
% 10.01/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s40, s41)) | (~always19(s40)) | always19(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s40, s41)) | (~always19(s40)) | always19(s41))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35098,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s40, s41)) | (~always19(s40)) | always19(s41))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35099,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s40, s41)) | (~always19(s40)) | always19(s41)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35098, 35097])).
% 10.01/7.64 tff(35100,plain,
% 10.01/7.64 ((~always19(s40)) | always19(s41)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35099, 28576, 3648])).
% 10.01/7.64 tff(35101,plain,
% 10.01/7.64 (~always19(s40)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35100, 35092])).
% 10.01/7.64 tff(35102,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35103,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35104,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35103, 35102])).
% 10.01/7.64 tff(35105,plain,
% 10.01/7.64 (~node20(s40)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35104, 32139, 35101])).
% 10.01/7.64 tff(35106,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35107,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35108,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35107, 35106])).
% 10.01/7.64 tff(35109,plain,
% 10.01/7.64 (~m_main_v_state1(s39, c_t1)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35108, 10, 3496])).
% 10.01/7.64 tff(35110,plain,
% 10.01/7.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s39, c_t1) | (~node20(s39)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s39, c_t1) | (~node20(s39)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35111,plain,
% 10.01/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s39, c_t1) | (~node20(s39)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35112,plain,
% 10.01/7.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s39, c_t1) | (~node20(s39))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35111, 35110])).
% 10.01/7.64 tff(35113,plain,
% 10.01/7.64 (~node20(s39)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35112, 32116, 35109])).
% 10.01/7.64 tff(35114,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s38)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35115,plain,
% 10.01/7.64 (((~m_main_v_state1(s38, c_c1)) | (~always19(s38))) <=> ((~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35116,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s38)) | (~m_main_v_state1(s38, c_c1))))),
% 10.01/7.64 inference(monotonicity,[status(thm)],[35115])).
% 10.01/7.64 tff(35117,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 10.01/7.64 inference(transitivity,[status(thm)],[35116, 35114])).
% 10.01/7.64 tff(35118,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35119,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35118, 35117])).
% 10.01/7.64 tff(35120,plain,
% 10.01/7.64 (~always19(s38)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35119, 28559, 3432])).
% 10.01/7.64 tff(35121,plain,
% 10.01/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s37, s38)) | (~always19(s37)) | always19(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s37, s38)) | (~always19(s37)) | always19(s38))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35122,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s37, s38)) | (~always19(s37)) | always19(s38))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35123,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s37, s38)) | (~always19(s37)) | always19(s38)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35122, 35121])).
% 10.01/7.64 tff(35124,plain,
% 10.01/7.64 ((~always19(s37)) | always19(s38)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35123, 28576, 3420])).
% 10.01/7.64 tff(35125,plain,
% 10.01/7.64 (~always19(s37)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35124, 35120])).
% 10.01/7.64 tff(35126,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35127,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35128,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 10.01/7.64 tff(35129,plain,
% 10.01/7.64 (~node20(s37)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35128, 32139, 35125])).
% 10.01/7.64 tff(35130,plain,
% 10.01/7.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s36, s37)) | (~always19(s36)) | always19(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s36, s37)) | (~always19(s36)) | always19(s37))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35131,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s36, s37)) | (~always19(s36)) | always19(s37))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35132,plain,
% 10.01/7.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s36, s37)) | (~always19(s36)) | always19(s37)),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 10.01/7.64 tff(35133,plain,
% 10.01/7.64 ((~always19(s36)) | always19(s37)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35132, 28576, 3325])).
% 10.01/7.64 tff(35134,plain,
% 10.01/7.64 (~always19(s36)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35133, 35125])).
% 10.01/7.64 tff(35135,plain,
% 10.01/7.64 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35136,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35137,plain,
% 10.01/7.64 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35136, 35135])).
% 10.01/7.64 tff(35138,plain,
% 10.01/7.64 (~node20(s36)),
% 10.01/7.64 inference(unit_resolution,[status(thm)],[35137, 32139, 35134])).
% 10.01/7.64 tff(35139,plain,
% 10.01/7.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))),
% 10.01/7.64 inference(rewrite,[status(thm)],[])).
% 10.01/7.64 tff(35140,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))),
% 10.01/7.64 inference(quant_inst,[status(thm)],[])).
% 10.01/7.64 tff(35141,plain,
% 10.01/7.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1))),
% 10.01/7.64 inference(modus_ponens,[status(thm)],[35140, 35139])).
% 10.01/7.65 tff(35142,plain,
% 10.01/7.65 (~m_main_v_state1(s35, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35141, 10, 3253])).
% 10.01/7.65 tff(35143,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s35, c_t1) | (~node20(s35)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s35, c_t1) | (~node20(s35)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35144,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s35, c_t1) | (~node20(s35)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35145,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s35, c_t1) | (~node20(s35))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35144, 35143])).
% 10.01/7.65 tff(35146,plain,
% 10.01/7.65 (~node20(s35)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35145, 32116, 35142])).
% 10.01/7.65 tff(35147,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s34)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35148,plain,
% 10.01/7.65 (((~m_main_v_state1(s34, c_c1)) | (~always19(s34))) <=> ((~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35149,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s34)) | (~m_main_v_state1(s34, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35148])).
% 10.01/7.65 tff(35150,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35149, 35147])).
% 10.01/7.65 tff(35151,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35152,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35151, 35150])).
% 10.01/7.65 tff(35153,plain,
% 10.01/7.65 (~always19(s34)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35152, 28559, 3171])).
% 10.01/7.65 tff(35154,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s33, s34)) | (~always19(s33)) | always19(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s33, s34)) | (~always19(s33)) | always19(s34))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35155,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s33, s34)) | (~always19(s33)) | always19(s34))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35156,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s33, s34)) | (~always19(s33)) | always19(s34)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35155, 35154])).
% 10.01/7.65 tff(35157,plain,
% 10.01/7.65 ((~always19(s33)) | always19(s34)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35156, 28576, 3087])).
% 10.01/7.65 tff(35158,plain,
% 10.01/7.65 (~always19(s33)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35157, 35153])).
% 10.01/7.65 tff(35159,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35160,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35161,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35160, 35159])).
% 10.01/7.65 tff(35162,plain,
% 10.01/7.65 (~node20(s33)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35161, 32139, 35158])).
% 10.01/7.65 tff(35163,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s32, s33)) | (~always19(s32)) | always19(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s32, s33)) | (~always19(s32)) | always19(s33))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35164,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s32, s33)) | (~always19(s32)) | always19(s33))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35165,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s32, s33)) | (~always19(s32)) | always19(s33)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35164, 35163])).
% 10.01/7.65 tff(35166,plain,
% 10.01/7.65 ((~always19(s32)) | always19(s33)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35165, 28576, 3020])).
% 10.01/7.65 tff(35167,plain,
% 10.01/7.65 (~always19(s32)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35166, 35158])).
% 10.01/7.65 tff(35168,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35169,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35170,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 10.01/7.65 tff(35171,plain,
% 10.01/7.65 (~node20(s32)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35170, 32139, 35167])).
% 10.01/7.65 tff(35172,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35173,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35174,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35173, 35172])).
% 10.01/7.65 tff(35175,plain,
% 10.01/7.65 (~m_main_v_state1(s31, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35174, 10, 2868])).
% 10.01/7.65 tff(35176,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s31, c_t1) | (~node20(s31)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s31, c_t1) | (~node20(s31)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35177,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s31, c_t1) | (~node20(s31)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35178,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s31, c_t1) | (~node20(s31))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 10.01/7.65 tff(35179,plain,
% 10.01/7.65 (~node20(s31)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35178, 32116, 35175])).
% 10.01/7.65 tff(35180,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s30)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35181,plain,
% 10.01/7.65 (((~m_main_v_state1(s30, c_c1)) | (~always19(s30))) <=> ((~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35182,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s30)) | (~m_main_v_state1(s30, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35181])).
% 10.01/7.65 tff(35183,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35182, 35180])).
% 10.01/7.65 tff(35184,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35185,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 10.01/7.65 tff(35186,plain,
% 10.01/7.65 (~always19(s30)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35185, 28559, 2804])).
% 10.01/7.65 tff(35187,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s29, s30)) | (~always19(s29)) | always19(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s29, s30)) | (~always19(s29)) | always19(s30))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35188,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s29, s30)) | (~always19(s29)) | always19(s30))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35189,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s29, s30)) | (~always19(s29)) | always19(s30)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 10.01/7.65 tff(35190,plain,
% 10.01/7.65 ((~always19(s29)) | always19(s30)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35189, 28576, 2792])).
% 10.01/7.65 tff(35191,plain,
% 10.01/7.65 (~always19(s29)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35190, 35186])).
% 10.01/7.65 tff(35192,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35193,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35194,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35193, 35192])).
% 10.01/7.65 tff(35195,plain,
% 10.01/7.65 (~node20(s29)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35194, 32139, 35191])).
% 10.01/7.65 tff(35196,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s28, s29)) | (~always19(s28)) | always19(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s28, s29)) | (~always19(s28)) | always19(s29))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35197,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s28, s29)) | (~always19(s28)) | always19(s29))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35198,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s28, s29)) | (~always19(s28)) | always19(s29)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35197, 35196])).
% 10.01/7.65 tff(35199,plain,
% 10.01/7.65 ((~always19(s28)) | always19(s29)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35198, 28576, 2697])).
% 10.01/7.65 tff(35200,plain,
% 10.01/7.65 (~always19(s28)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35199, 35191])).
% 10.01/7.65 tff(35201,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35202,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35203,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35202, 35201])).
% 10.01/7.65 tff(35204,plain,
% 10.01/7.65 (~node20(s28)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35203, 32139, 35200])).
% 10.01/7.65 tff(35205,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35206,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35207,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35206, 35205])).
% 10.01/7.65 tff(35208,plain,
% 10.01/7.65 (~m_main_v_state1(s27, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35207, 10, 2625])).
% 10.01/7.65 tff(35209,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s27, c_t1) | (~node20(s27)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s27, c_t1) | (~node20(s27)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35210,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s27, c_t1) | (~node20(s27)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35211,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s27, c_t1) | (~node20(s27))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35210, 35209])).
% 10.01/7.65 tff(35212,plain,
% 10.01/7.65 (~node20(s27)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35211, 32116, 35208])).
% 10.01/7.65 tff(35213,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s26)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35214,plain,
% 10.01/7.65 (((~m_main_v_state1(s26, c_c1)) | (~always19(s26))) <=> ((~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35215,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s26)) | (~m_main_v_state1(s26, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35214])).
% 10.01/7.65 tff(35216,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35215, 35213])).
% 10.01/7.65 tff(35217,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35218,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35217, 35216])).
% 10.01/7.65 tff(35219,plain,
% 10.01/7.65 (~always19(s26)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35218, 28559, 2543])).
% 10.01/7.65 tff(35220,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s25, s26)) | (~always19(s25)) | always19(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s25, s26)) | (~always19(s25)) | always19(s26))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35221,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s25, s26)) | (~always19(s25)) | always19(s26))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35222,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s25, s26)) | (~always19(s25)) | always19(s26)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 10.01/7.65 tff(35223,plain,
% 10.01/7.65 ((~always19(s25)) | always19(s26)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35222, 28576, 2459])).
% 10.01/7.65 tff(35224,plain,
% 10.01/7.65 (~always19(s25)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35223, 35219])).
% 10.01/7.65 tff(35225,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35226,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35227,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35226, 35225])).
% 10.01/7.65 tff(35228,plain,
% 10.01/7.65 (~node20(s25)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35227, 32139, 35224])).
% 10.01/7.65 tff(35229,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s24, s25)) | (~always19(s24)) | always19(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s24, s25)) | (~always19(s24)) | always19(s25))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35230,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s24, s25)) | (~always19(s24)) | always19(s25))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35231,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s24, s25)) | (~always19(s24)) | always19(s25)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35230, 35229])).
% 10.01/7.65 tff(35232,plain,
% 10.01/7.65 ((~always19(s24)) | always19(s25)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35231, 28576, 2392])).
% 10.01/7.65 tff(35233,plain,
% 10.01/7.65 (~always19(s24)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35232, 35224])).
% 10.01/7.65 tff(35234,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35235,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35236,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35235, 35234])).
% 10.01/7.65 tff(35237,plain,
% 10.01/7.65 (~node20(s24)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35236, 32139, 35233])).
% 10.01/7.65 tff(35238,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35239,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35240,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35239, 35238])).
% 10.01/7.65 tff(35241,plain,
% 10.01/7.65 (~m_main_v_state1(s23, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35240, 10, 2240])).
% 10.01/7.65 tff(35242,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s23, c_t1) | (~node20(s23)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s23, c_t1) | (~node20(s23)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35243,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s23, c_t1) | (~node20(s23)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35244,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s23, c_t1) | (~node20(s23))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35243, 35242])).
% 10.01/7.65 tff(35245,plain,
% 10.01/7.65 (~node20(s23)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35244, 32116, 35241])).
% 10.01/7.65 tff(35246,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s22)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35247,plain,
% 10.01/7.65 (((~m_main_v_state1(s22, c_c1)) | (~always19(s22))) <=> ((~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35248,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s22)) | (~m_main_v_state1(s22, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35247])).
% 10.01/7.65 tff(35249,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35248, 35246])).
% 10.01/7.65 tff(35250,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35251,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35250, 35249])).
% 10.01/7.65 tff(35252,plain,
% 10.01/7.65 (~always19(s22)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35251, 28559, 2176])).
% 10.01/7.65 tff(35253,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s21, s22)) | (~always19(s21)) | always19(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s21, s22)) | (~always19(s21)) | always19(s22))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35254,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s21, s22)) | (~always19(s21)) | always19(s22))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35255,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s21, s22)) | (~always19(s21)) | always19(s22)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35254, 35253])).
% 10.01/7.65 tff(35256,plain,
% 10.01/7.65 ((~always19(s21)) | always19(s22)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35255, 28576, 2164])).
% 10.01/7.65 tff(35257,plain,
% 10.01/7.65 (~always19(s21)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35256, 35252])).
% 10.01/7.65 tff(35258,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35259,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35260,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35259, 35258])).
% 10.01/7.65 tff(35261,plain,
% 10.01/7.65 (~node20(s21)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35260, 32139, 35257])).
% 10.01/7.65 tff(35262,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s20, s21)) | (~always19(s20)) | always19(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s20, s21)) | (~always19(s20)) | always19(s21))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35263,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s20, s21)) | (~always19(s20)) | always19(s21))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35264,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s20, s21)) | (~always19(s20)) | always19(s21)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35263, 35262])).
% 10.01/7.65 tff(35265,plain,
% 10.01/7.65 ((~always19(s20)) | always19(s21)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35264, 28576, 2069])).
% 10.01/7.65 tff(35266,plain,
% 10.01/7.65 (~always19(s20)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35265, 35257])).
% 10.01/7.65 tff(35267,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35268,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35269,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35268, 35267])).
% 10.01/7.65 tff(35270,plain,
% 10.01/7.65 (~node20(s20)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35269, 32139, 35266])).
% 10.01/7.65 tff(35271,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35272,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35273,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 10.01/7.65 tff(35274,plain,
% 10.01/7.65 (~m_main_v_state1(s19, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35273, 10, 1997])).
% 10.01/7.65 tff(35275,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s19, c_t1) | (~node20(s19)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s19, c_t1) | (~node20(s19)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35276,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s19, c_t1) | (~node20(s19)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35277,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s19, c_t1) | (~node20(s19))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35276, 35275])).
% 10.01/7.65 tff(35278,plain,
% 10.01/7.65 (~node20(s19)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35277, 32116, 35274])).
% 10.01/7.65 tff(35279,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s18)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35280,plain,
% 10.01/7.65 (((~m_main_v_state1(s18, c_c1)) | (~always19(s18))) <=> ((~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35281,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s18)) | (~m_main_v_state1(s18, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35280])).
% 10.01/7.65 tff(35282,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35281, 35279])).
% 10.01/7.65 tff(35283,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35284,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35283, 35282])).
% 10.01/7.65 tff(35285,plain,
% 10.01/7.65 (~always19(s18)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35284, 28559, 1915])).
% 10.01/7.65 tff(35286,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s17, s18)) | (~always19(s17)) | always19(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s17, s18)) | (~always19(s17)) | always19(s18))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35287,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s17, s18)) | (~always19(s17)) | always19(s18))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35288,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s17, s18)) | (~always19(s17)) | always19(s18)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35287, 35286])).
% 10.01/7.65 tff(35289,plain,
% 10.01/7.65 ((~always19(s17)) | always19(s18)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35288, 28576, 1831])).
% 10.01/7.65 tff(35290,plain,
% 10.01/7.65 (~always19(s17)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35289, 35285])).
% 10.01/7.65 tff(35291,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35292,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35293,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 10.01/7.65 tff(35294,plain,
% 10.01/7.65 (~node20(s17)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35293, 32139, 35290])).
% 10.01/7.65 tff(35295,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s16, s17)) | (~always19(s16)) | always19(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s16, s17)) | (~always19(s16)) | always19(s17))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35296,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s16, s17)) | (~always19(s16)) | always19(s17))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35297,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s16, s17)) | (~always19(s16)) | always19(s17)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 10.01/7.65 tff(35298,plain,
% 10.01/7.65 ((~always19(s16)) | always19(s17)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35297, 28576, 1764])).
% 10.01/7.65 tff(35299,plain,
% 10.01/7.65 (~always19(s16)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35298, 35290])).
% 10.01/7.65 tff(35300,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35301,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35302,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 10.01/7.65 tff(35303,plain,
% 10.01/7.65 (~node20(s16)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35302, 32139, 35299])).
% 10.01/7.65 tff(35304,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35305,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35306,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35305, 35304])).
% 10.01/7.65 tff(35307,plain,
% 10.01/7.65 (~m_main_v_state1(s15, c_t1)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35306, 10, 1612])).
% 10.01/7.65 tff(35308,plain,
% 10.01/7.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s15, c_t1) | (~node20(s15)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s15, c_t1) | (~node20(s15)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35309,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s15, c_t1) | (~node20(s15)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35310,plain,
% 10.01/7.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s15, c_t1) | (~node20(s15))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35309, 35308])).
% 10.01/7.65 tff(35311,plain,
% 10.01/7.65 (~node20(s15)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35310, 32116, 35307])).
% 10.01/7.65 tff(35312,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s14)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35313,plain,
% 10.01/7.65 (((~m_main_v_state1(s14, c_c1)) | (~always19(s14))) <=> ((~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35314,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s14)) | (~m_main_v_state1(s14, c_c1))))),
% 10.01/7.65 inference(monotonicity,[status(thm)],[35313])).
% 10.01/7.65 tff(35315,plain,
% 10.01/7.65 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 10.01/7.65 inference(transitivity,[status(thm)],[35314, 35312])).
% 10.01/7.65 tff(35316,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35317,plain,
% 10.01/7.65 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 10.01/7.65 tff(35318,plain,
% 10.01/7.65 (~always19(s14)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35317, 28559, 1548])).
% 10.01/7.65 tff(35319,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s13, s14)) | (~always19(s13)) | always19(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s13, s14)) | (~always19(s13)) | always19(s14))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35320,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s13, s14)) | (~always19(s13)) | always19(s14))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35321,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s13, s14)) | (~always19(s13)) | always19(s14)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35320, 35319])).
% 10.01/7.65 tff(35322,plain,
% 10.01/7.65 ((~always19(s13)) | always19(s14)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35321, 28576, 1536])).
% 10.01/7.65 tff(35323,plain,
% 10.01/7.65 (~always19(s13)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35322, 35318])).
% 10.01/7.65 tff(35324,plain,
% 10.01/7.65 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13)))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35325,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35326,plain,
% 10.01/7.65 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13))),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35325, 35324])).
% 10.01/7.65 tff(35327,plain,
% 10.01/7.65 (~node20(s13)),
% 10.01/7.65 inference(unit_resolution,[status(thm)],[35326, 32139, 35323])).
% 10.01/7.65 tff(35328,plain,
% 10.01/7.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s12, s13)) | (~always19(s12)) | always19(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s12, s13)) | (~always19(s12)) | always19(s13))),
% 10.01/7.65 inference(rewrite,[status(thm)],[])).
% 10.01/7.65 tff(35329,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s12, s13)) | (~always19(s12)) | always19(s13))),
% 10.01/7.65 inference(quant_inst,[status(thm)],[])).
% 10.01/7.65 tff(35330,plain,
% 10.01/7.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s12, s13)) | (~always19(s12)) | always19(s13)),
% 10.01/7.65 inference(modus_ponens,[status(thm)],[35329, 35328])).
% 10.01/7.66 tff(35331,plain,
% 10.01/7.66 ((~always19(s12)) | always19(s13)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35330, 28576, 1441])).
% 10.01/7.66 tff(35332,plain,
% 10.01/7.66 (~always19(s12)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35331, 35323])).
% 10.01/7.66 tff(35333,plain,
% 10.01/7.66 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35334,plain,
% 10.01/7.66 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35335,plain,
% 10.01/7.66 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35334, 35333])).
% 10.01/7.66 tff(35336,plain,
% 10.01/7.66 (~node20(s12)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35335, 32139, 35332])).
% 10.01/7.66 tff(35337,plain,
% 10.01/7.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35338,plain,
% 10.01/7.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35339,plain,
% 10.01/7.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35338, 35337])).
% 10.01/7.66 tff(35340,plain,
% 10.01/7.66 (~m_main_v_state1(s11, c_t1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35339, 10, 1369])).
% 10.01/7.66 tff(35341,plain,
% 10.01/7.66 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s11, c_t1) | (~node20(s11)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s11, c_t1) | (~node20(s11)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35342,plain,
% 10.01/7.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s11, c_t1) | (~node20(s11)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35343,plain,
% 10.01/7.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s11, c_t1) | (~node20(s11))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35342, 35341])).
% 10.01/7.66 tff(35344,plain,
% 10.01/7.66 (~node20(s11)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35343, 32116, 35340])).
% 10.01/7.66 tff(35345,plain,
% 10.01/7.66 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s10)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35346,plain,
% 10.01/7.66 (((~m_main_v_state1(s10, c_c1)) | (~always19(s10))) <=> ((~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35347,plain,
% 10.01/7.66 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s10)) | (~m_main_v_state1(s10, c_c1))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35346])).
% 10.01/7.66 tff(35348,plain,
% 10.01/7.66 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35347, 35345])).
% 10.01/7.66 tff(35349,plain,
% 10.01/7.66 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35350,plain,
% 10.01/7.66 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35349, 35348])).
% 10.01/7.66 tff(35351,plain,
% 10.01/7.66 (~always19(s10)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35350, 28559, 1287])).
% 10.01/7.66 tff(35352,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s9, s10)) | (~always19(s9)) | always19(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s9, s10)) | (~always19(s9)) | always19(s10))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35353,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s9, s10)) | (~always19(s9)) | always19(s10))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35354,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s9, s10)) | (~always19(s9)) | always19(s10)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35353, 35352])).
% 10.01/7.66 tff(35355,plain,
% 10.01/7.66 ((~always19(s9)) | always19(s10)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35354, 28576, 1203])).
% 10.01/7.66 tff(35356,plain,
% 10.01/7.66 (~always19(s9)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35355, 35351])).
% 10.01/7.66 tff(35357,plain,
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35359,plain,
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 10.01/7.66 tff(35360,plain,
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35359, 32139, 35356])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35362, 35361])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35363, 28576, 1136])).
% 10.01/7.66 tff(35365,plain,
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35364, 35356])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 10.01/7.66 tff(35369,plain,
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35368, 32139, 35365])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35372,plain,
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35371, 35370])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35372, 10, 974])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35375, 35374])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35376, 32116, 35373])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(monotonicity,[status(thm)],[35379])).
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% 10.01/7.66 inference(transitivity,[status(thm)],[35380, 35378])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35382, 35381])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35386, 35385])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35387, 28576, 878])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35388, 35384])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35396, 28576, 712])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35397, 35389])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35400, 35399])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35404, 35403])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35405, 10, 592])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35408, 35407])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(monotonicity,[status(thm)],[35412])).
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% 10.01/7.66 inference(transitivity,[status(thm)],[35413, 35411])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(modus_ponens,[status(thm)],[35415, 35414])).
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% 10.01/7.66 inference(unit_resolution,[status(thm)],[35416, 28559, 447])).
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% 10.01/7.66 inference(rewrite,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
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% 10.01/7.66 tff(35425,plain,
% 10.01/7.66 ((~always19(s1)) | always19(s2)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35424, 28576, 282])).
% 10.01/7.66 tff(35426,plain,
% 10.01/7.66 (~always19(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35425, 35417])).
% 10.01/7.66 tff(35427,plain,
% 10.01/7.66 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35428,plain,
% 10.01/7.66 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35429,plain,
% 10.01/7.66 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35428, 35427])).
% 10.01/7.66 tff(35430,plain,
% 10.01/7.66 (~node20(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35429, 32139, 35426])).
% 10.01/7.66 tff(35431,plain,
% 10.01/7.66 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s0, c_t1) | (~node20(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s0, c_t1) | (~node20(s0)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35432,plain,
% 10.01/7.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s0, c_t1) | (~node20(s0)))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35433,plain,
% 10.01/7.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s0, c_t1) | (~node20(s0))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35432, 35431])).
% 10.01/7.66 tff(35434,plain,
% 10.01/7.66 (~node20(s0)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35433, 32116, 14])).
% 10.01/7.66 tff(35435,plain,
% 10.01/7.66 (until21(s0) <=> until21(s0)),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35436,axiom,(until21(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty13')).
% 10.01/7.66 tff(35437,plain,
% 10.01/7.66 (until21(s0)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35436, 35435])).
% 10.01/7.66 tff(35438,plain,
% 10.01/7.66 (^[X: $i] : refl((node20(X) | (~until21(X)) | xuntil22(X)) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 10.01/7.66 inference(bind,[status(th)],[])).
% 10.01/7.66 tff(35439,plain,
% 10.01/7.66 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(quant_intro,[status(thm)],[35438])).
% 10.01/7.66 tff(35440,plain,
% 10.01/7.66 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35441,plain,
% 10.01/7.66 (^[X: $i] : rewrite(((node20(X) | xuntil22(X)) | (~until21(X))) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 10.01/7.66 inference(bind,[status(th)],[])).
% 10.01/7.66 tff(35442,plain,
% 10.01/7.66 (![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X))) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(quant_intro,[status(thm)],[35441])).
% 10.01/7.66 tff(35443,axiom,(![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 10.01/7.66 tff(35444,plain,
% 10.01/7.66 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35443, 35442])).
% 10.01/7.66 tff(35445,plain,
% 10.01/7.66 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35444, 35440])).
% 10.01/7.66 tff(35446,plain,(
% 10.01/7.66 ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(skolemize,[status(sab)],[35445])).
% 10.01/7.66 tff(35447,plain,
% 10.01/7.66 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35446, 35439])).
% 10.01/7.66 tff(35448,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s0) | node20(s0) | (~until21(s0)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35449,plain,
% 10.01/7.66 ((node20(s0) | (~until21(s0)) | xuntil22(s0)) <=> (xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35450,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s0) | node20(s0) | (~until21(s0))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35449])).
% 10.01/7.66 tff(35451,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35450, 35448])).
% 10.01/7.66 tff(35452,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35453,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35452, 35451])).
% 10.01/7.66 tff(35454,plain,
% 10.01/7.66 (xuntil22(s0) | node20(s0)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35453, 35447, 35437])).
% 10.01/7.66 tff(35455,plain,
% 10.01/7.66 (xuntil22(s0)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35454, 35434])).
% 10.01/7.66 tff(35456,plain,
% 10.01/7.66 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 10.01/7.66 inference(bind,[status(th)],[])).
% 10.01/7.66 tff(35457,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(quant_intro,[status(thm)],[35456])).
% 10.01/7.66 tff(35458,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35459,plain,
% 10.01/7.66 (^[Y: $i, X: $i] : rewrite(((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 10.01/7.66 inference(bind,[status(th)],[])).
% 10.01/7.66 tff(35460,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(quant_intro,[status(thm)],[35459])).
% 10.01/7.66 tff(35461,axiom,(![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 10.01/7.66 tff(35462,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 10.01/7.66 tff(35463,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35462, 35458])).
% 10.01/7.66 tff(35464,plain,(
% 10.01/7.66 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(skolemize,[status(sab)],[35463])).
% 10.01/7.66 tff(35465,plain,
% 10.01/7.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35464, 35457])).
% 10.01/7.66 tff(35466,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35467,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35468,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35467, 35466])).
% 10.01/7.66 tff(35469,plain,
% 10.01/7.66 ((~xuntil22(s0)) | until21(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35468, 35, 35465])).
% 10.01/7.66 tff(35470,plain,
% 10.01/7.66 (until21(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35469, 35455])).
% 10.01/7.66 tff(35471,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s1) | node20(s1) | (~until21(s1)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35472,plain,
% 10.01/7.66 ((node20(s1) | (~until21(s1)) | xuntil22(s1)) <=> (xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35473,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s1) | node20(s1) | (~until21(s1))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35472])).
% 10.01/7.66 tff(35474,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35473, 35471])).
% 10.01/7.66 tff(35475,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35476,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35475, 35474])).
% 10.01/7.66 tff(35477,plain,
% 10.01/7.66 (xuntil22(s1) | node20(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35476, 35447, 35470])).
% 10.01/7.66 tff(35478,plain,
% 10.01/7.66 (xuntil22(s1)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35477, 35430])).
% 10.01/7.66 tff(35479,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35480,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35481,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35480, 35479])).
% 10.01/7.66 tff(35482,plain,
% 10.01/7.66 ((~xuntil22(s1)) | until21(s2)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35481, 278, 35465])).
% 10.01/7.66 tff(35483,plain,
% 10.01/7.66 (until21(s2)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35482, 35478])).
% 10.01/7.66 tff(35484,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s2) | node20(s2) | (~until21(s2)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35485,plain,
% 10.01/7.66 ((node20(s2) | (~until21(s2)) | xuntil22(s2)) <=> (xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35486,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s2) | node20(s2) | (~until21(s2))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35485])).
% 10.01/7.66 tff(35487,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35486, 35484])).
% 10.01/7.66 tff(35488,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35489,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35488, 35487])).
% 10.01/7.66 tff(35490,plain,
% 10.01/7.66 (xuntil22(s2)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35489, 35447, 35483, 35421])).
% 10.01/7.66 tff(35491,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35492,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35493,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35492, 35491])).
% 10.01/7.66 tff(35494,plain,
% 10.01/7.66 ((~xuntil22(s2)) | until21(s3)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35493, 480, 35465])).
% 10.01/7.66 tff(35495,plain,
% 10.01/7.66 (until21(s3)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35494, 35490])).
% 10.01/7.66 tff(35496,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s3) | node20(s3) | (~until21(s3)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35497,plain,
% 10.01/7.66 ((node20(s3) | (~until21(s3)) | xuntil22(s3)) <=> (xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35498,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s3) | node20(s3) | (~until21(s3))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35497])).
% 10.01/7.66 tff(35499,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35498, 35496])).
% 10.01/7.66 tff(35500,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35501,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35500, 35499])).
% 10.01/7.66 tff(35502,plain,
% 10.01/7.66 (xuntil22(s3)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35501, 35447, 35495, 35410])).
% 10.01/7.66 tff(35503,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35504,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35505,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35504, 35503])).
% 10.01/7.66 tff(35506,plain,
% 10.01/7.66 ((~xuntil22(s3)) | until21(s4)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35505, 599, 35465])).
% 10.01/7.66 tff(35507,plain,
% 10.01/7.66 (until21(s4)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35506, 35502])).
% 10.01/7.66 tff(35508,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s4) | node20(s4) | (~until21(s4)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35509,plain,
% 10.01/7.66 ((node20(s4) | (~until21(s4)) | xuntil22(s4)) <=> (xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35510,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s4) | node20(s4) | (~until21(s4))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35509])).
% 10.01/7.66 tff(35511,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35510, 35508])).
% 10.01/7.66 tff(35512,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35513,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4))),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35512, 35511])).
% 10.01/7.66 tff(35514,plain,
% 10.01/7.66 (xuntil22(s4) | node20(s4)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35513, 35447, 35507])).
% 10.01/7.66 tff(35515,plain,
% 10.01/7.66 (xuntil22(s4)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35514, 35402])).
% 10.01/7.66 tff(35516,plain,
% 10.01/7.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35517,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35518,plain,
% 10.01/7.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5)),
% 10.01/7.66 inference(modus_ponens,[status(thm)],[35517, 35516])).
% 10.01/7.66 tff(35519,plain,
% 10.01/7.66 ((~xuntil22(s4)) | until21(s5)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35518, 708, 35465])).
% 10.01/7.66 tff(35520,plain,
% 10.01/7.66 (until21(s5)),
% 10.01/7.66 inference(unit_resolution,[status(thm)],[35519, 35515])).
% 10.01/7.66 tff(35521,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s5) | node20(s5) | (~until21(s5)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35522,plain,
% 10.01/7.66 ((node20(s5) | (~until21(s5)) | xuntil22(s5)) <=> (xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 10.01/7.66 inference(rewrite,[status(thm)],[])).
% 10.01/7.66 tff(35523,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s5) | node20(s5) | (~until21(s5))))),
% 10.01/7.66 inference(monotonicity,[status(thm)],[35522])).
% 10.01/7.66 tff(35524,plain,
% 10.01/7.66 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 10.01/7.66 inference(transitivity,[status(thm)],[35523, 35521])).
% 10.01/7.66 tff(35525,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))),
% 10.01/7.66 inference(quant_inst,[status(thm)],[])).
% 10.01/7.66 tff(35526,plain,
% 10.01/7.66 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35525, 35524])).
% 10.01/7.67 tff(35527,plain,
% 10.01/7.67 (xuntil22(s5)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35526, 35447, 35520, 35393])).
% 10.01/7.67 tff(35528,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35529,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35530,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35529, 35528])).
% 10.01/7.67 tff(35531,plain,
% 10.01/7.67 ((~xuntil22(s5)) | until21(s6)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35530, 874, 35465])).
% 10.01/7.67 tff(35532,plain,
% 10.01/7.67 (until21(s6)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35531, 35527])).
% 10.01/7.67 tff(35533,plain,
% 10.01/7.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35534,plain,
% 10.01/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35535,plain,
% 10.01/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 10.01/7.67 tff(35536,plain,
% 10.01/7.67 (~node20(s6)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35535, 32139, 35384])).
% 10.01/7.67 tff(35537,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s6) | node20(s6) | (~until21(s6)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35538,plain,
% 10.01/7.67 ((node20(s6) | (~until21(s6)) | xuntil22(s6)) <=> (xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35539,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s6) | node20(s6) | (~until21(s6))))),
% 10.01/7.67 inference(monotonicity,[status(thm)],[35538])).
% 10.01/7.67 tff(35540,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 10.01/7.67 inference(transitivity,[status(thm)],[35539, 35537])).
% 10.01/7.67 tff(35541,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35542,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35541, 35540])).
% 10.01/7.67 tff(35543,plain,
% 10.01/7.67 (xuntil22(s6) | (~until21(s6))),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35542, 35447, 35536])).
% 10.01/7.67 tff(35544,plain,
% 10.01/7.67 (xuntil22(s6)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35543, 35532])).
% 10.01/7.67 tff(35545,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35546,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35547,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35546, 35545])).
% 10.01/7.67 tff(35548,plain,
% 10.01/7.67 ((~xuntil22(s6)) | until21(s7)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35547, 958, 35465])).
% 10.01/7.67 tff(35549,plain,
% 10.01/7.67 (until21(s7)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35548, 35544])).
% 10.01/7.67 tff(35550,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s7) | node20(s7) | (~until21(s7)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35551,plain,
% 10.01/7.67 ((node20(s7) | (~until21(s7)) | xuntil22(s7)) <=> (xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35552,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s7) | node20(s7) | (~until21(s7))))),
% 10.01/7.67 inference(monotonicity,[status(thm)],[35551])).
% 10.01/7.67 tff(35553,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 10.01/7.67 inference(transitivity,[status(thm)],[35552, 35550])).
% 10.01/7.67 tff(35554,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35555,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35554, 35553])).
% 10.01/7.67 tff(35556,plain,
% 10.01/7.67 (xuntil22(s7)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35555, 35447, 35549, 35377])).
% 10.01/7.67 tff(35557,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35558,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35559,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35558, 35557])).
% 10.01/7.67 tff(35560,plain,
% 10.01/7.67 ((~xuntil22(s7)) | until21(s8)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35559, 1043, 35465])).
% 10.01/7.67 tff(35561,plain,
% 10.01/7.67 (until21(s8)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35560, 35556])).
% 10.01/7.67 tff(35562,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s8) | node20(s8) | (~until21(s8)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35563,plain,
% 10.01/7.67 ((node20(s8) | (~until21(s8)) | xuntil22(s8)) <=> (xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35564,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s8) | node20(s8) | (~until21(s8))))),
% 10.01/7.67 inference(monotonicity,[status(thm)],[35563])).
% 10.01/7.67 tff(35565,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 10.01/7.67 inference(transitivity,[status(thm)],[35564, 35562])).
% 10.01/7.67 tff(35566,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35567,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35566, 35565])).
% 10.01/7.67 tff(35568,plain,
% 10.01/7.67 (xuntil22(s8) | node20(s8)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35567, 35447, 35561])).
% 10.01/7.67 tff(35569,plain,
% 10.01/7.67 (xuntil22(s8)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35568, 35369])).
% 10.01/7.67 tff(35570,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35571,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35572,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35571, 35570])).
% 10.01/7.67 tff(35573,plain,
% 10.01/7.67 ((~xuntil22(s8)) | until21(s9)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35572, 1132, 35465])).
% 10.01/7.67 tff(35574,plain,
% 10.01/7.67 (until21(s9)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35573, 35569])).
% 10.01/7.67 tff(35575,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s9) | node20(s9) | (~until21(s9)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35576,plain,
% 10.01/7.67 ((node20(s9) | (~until21(s9)) | xuntil22(s9)) <=> (xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35577,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s9) | node20(s9) | (~until21(s9))))),
% 10.01/7.67 inference(monotonicity,[status(thm)],[35576])).
% 10.01/7.67 tff(35578,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 10.01/7.67 inference(transitivity,[status(thm)],[35577, 35575])).
% 10.01/7.67 tff(35579,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35580,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35579, 35578])).
% 10.01/7.67 tff(35581,plain,
% 10.01/7.67 (xuntil22(s9)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35580, 35447, 35574, 35360])).
% 10.01/7.67 tff(35582,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35583,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35584,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35583, 35582])).
% 10.01/7.67 tff(35585,plain,
% 10.01/7.67 ((~xuntil22(s9)) | until21(s10)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35584, 1199, 35465])).
% 10.01/7.67 tff(35586,plain,
% 10.01/7.67 (until21(s10)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35585, 35581])).
% 10.01/7.67 tff(35587,plain,
% 10.01/7.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35588,plain,
% 10.01/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35589,plain,
% 10.01/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35588, 35587])).
% 10.01/7.67 tff(35590,plain,
% 10.01/7.67 (~node20(s10)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35589, 32139, 35351])).
% 10.01/7.67 tff(35591,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s10) | node20(s10) | (~until21(s10)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35592,plain,
% 10.01/7.67 ((node20(s10) | (~until21(s10)) | xuntil22(s10)) <=> (xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35593,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s10) | node20(s10) | (~until21(s10))))),
% 10.01/7.67 inference(monotonicity,[status(thm)],[35592])).
% 10.01/7.67 tff(35594,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 10.01/7.67 inference(transitivity,[status(thm)],[35593, 35591])).
% 10.01/7.67 tff(35595,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35596,plain,
% 10.01/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10))),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35595, 35594])).
% 10.01/7.67 tff(35597,plain,
% 10.01/7.67 (xuntil22(s10) | (~until21(s10))),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35596, 35447, 35590])).
% 10.01/7.67 tff(35598,plain,
% 10.01/7.67 (xuntil22(s10)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35597, 35586])).
% 10.01/7.67 tff(35599,plain,
% 10.01/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35600,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))),
% 10.01/7.67 inference(quant_inst,[status(thm)],[])).
% 10.01/7.67 tff(35601,plain,
% 10.01/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11)),
% 10.01/7.67 inference(modus_ponens,[status(thm)],[35600, 35599])).
% 10.01/7.67 tff(35602,plain,
% 10.01/7.67 ((~xuntil22(s10)) | until21(s11)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35601, 1298, 35465])).
% 10.01/7.67 tff(35603,plain,
% 10.01/7.67 (until21(s11)),
% 10.01/7.67 inference(unit_resolution,[status(thm)],[35602, 35598])).
% 10.01/7.67 tff(35604,plain,
% 10.01/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s11) | node20(s11) | (~until21(s11)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35605,plain,
% 10.01/7.67 ((node20(s11) | (~until21(s11)) | xuntil22(s11)) <=> (xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 10.01/7.67 inference(rewrite,[status(thm)],[])).
% 10.01/7.67 tff(35606,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s11) | node20(s11) | (~until21(s11))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35605])).
% 10.04/7.67 tff(35607,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35606, 35604])).
% 10.04/7.67 tff(35608,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35609,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35608, 35607])).
% 10.04/7.67 tff(35610,plain,
% 10.04/7.67 (xuntil22(s11)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35609, 35447, 35603, 35344])).
% 10.04/7.67 tff(35611,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35612,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35613,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35612, 35611])).
% 10.04/7.67 tff(35614,plain,
% 10.04/7.67 ((~xuntil22(s11)) | until21(s12)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35613, 1376, 35465])).
% 10.04/7.67 tff(35615,plain,
% 10.04/7.67 (until21(s12)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35614, 35610])).
% 10.04/7.67 tff(35616,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s12) | node20(s12) | (~until21(s12)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35617,plain,
% 10.04/7.67 ((node20(s12) | (~until21(s12)) | xuntil22(s12)) <=> (xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35618,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s12) | node20(s12) | (~until21(s12))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35617])).
% 10.04/7.67 tff(35619,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35618, 35616])).
% 10.04/7.67 tff(35620,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35621,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35620, 35619])).
% 10.04/7.67 tff(35622,plain,
% 10.04/7.67 (xuntil22(s12) | node20(s12)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35621, 35447, 35615])).
% 10.04/7.67 tff(35623,plain,
% 10.04/7.67 (xuntil22(s12)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35622, 35336])).
% 10.04/7.67 tff(35624,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35625,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35626,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35625, 35624])).
% 10.04/7.67 tff(35627,plain,
% 10.04/7.67 ((~xuntil22(s12)) | until21(s13)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35626, 1437, 35465])).
% 10.04/7.67 tff(35628,plain,
% 10.04/7.67 (until21(s13)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35627, 35623])).
% 10.04/7.67 tff(35629,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s13) | node20(s13) | (~until21(s13)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35630,plain,
% 10.04/7.67 ((node20(s13) | (~until21(s13)) | xuntil22(s13)) <=> (xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35631,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s13) | node20(s13) | (~until21(s13))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35630])).
% 10.04/7.67 tff(35632,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35631, 35629])).
% 10.04/7.67 tff(35633,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35634,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35633, 35632])).
% 10.04/7.67 tff(35635,plain,
% 10.04/7.67 (xuntil22(s13)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35634, 35447, 35628, 35327])).
% 10.04/7.67 tff(35636,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35637,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35638,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35637, 35636])).
% 10.04/7.67 tff(35639,plain,
% 10.04/7.67 ((~xuntil22(s13)) | until21(s14)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35638, 1532, 35465])).
% 10.04/7.67 tff(35640,plain,
% 10.04/7.67 (until21(s14)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35639, 35635])).
% 10.04/7.67 tff(35641,plain,
% 10.04/7.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35642,plain,
% 10.04/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35643,plain,
% 10.04/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35642, 35641])).
% 10.04/7.67 tff(35644,plain,
% 10.04/7.67 (~node20(s14)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35643, 32139, 35318])).
% 10.04/7.67 tff(35645,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s14) | node20(s14) | (~until21(s14)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35646,plain,
% 10.04/7.67 ((node20(s14) | (~until21(s14)) | xuntil22(s14)) <=> (xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35647,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s14) | node20(s14) | (~until21(s14))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35646])).
% 10.04/7.67 tff(35648,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35647, 35645])).
% 10.04/7.67 tff(35649,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35650,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35649, 35648])).
% 10.04/7.67 tff(35651,plain,
% 10.04/7.67 (xuntil22(s14) | (~until21(s14))),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35650, 35447, 35644])).
% 10.04/7.67 tff(35652,plain,
% 10.04/7.67 (xuntil22(s14)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35651, 35640])).
% 10.04/7.67 tff(35653,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35654,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35655,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35654, 35653])).
% 10.04/7.67 tff(35656,plain,
% 10.04/7.67 ((~xuntil22(s14)) | until21(s15)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35655, 1596, 35465])).
% 10.04/7.67 tff(35657,plain,
% 10.04/7.67 (until21(s15)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35656, 35652])).
% 10.04/7.67 tff(35658,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s15) | node20(s15) | (~until21(s15)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35659,plain,
% 10.04/7.67 ((node20(s15) | (~until21(s15)) | xuntil22(s15)) <=> (xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35660,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s15) | node20(s15) | (~until21(s15))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35659])).
% 10.04/7.67 tff(35661,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35660, 35658])).
% 10.04/7.67 tff(35662,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35663,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35662, 35661])).
% 10.04/7.67 tff(35664,plain,
% 10.04/7.67 (xuntil22(s15)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35663, 35447, 35657, 35311])).
% 10.04/7.67 tff(35665,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35666,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35667,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35666, 35665])).
% 10.04/7.67 tff(35668,plain,
% 10.04/7.67 ((~xuntil22(s15)) | until21(s16)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35667, 1671, 35465])).
% 10.04/7.67 tff(35669,plain,
% 10.04/7.67 (until21(s16)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35668, 35664])).
% 10.04/7.67 tff(35670,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s16) | node20(s16) | (~until21(s16)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35671,plain,
% 10.04/7.67 ((node20(s16) | (~until21(s16)) | xuntil22(s16)) <=> (xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35672,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s16) | node20(s16) | (~until21(s16))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35671])).
% 10.04/7.67 tff(35673,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35672, 35670])).
% 10.04/7.67 tff(35674,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35675,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35674, 35673])).
% 10.04/7.67 tff(35676,plain,
% 10.04/7.67 (xuntil22(s16) | node20(s16)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35675, 35447, 35669])).
% 10.04/7.67 tff(35677,plain,
% 10.04/7.67 (xuntil22(s16)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35676, 35303])).
% 10.04/7.67 tff(35678,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35679,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35680,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35679, 35678])).
% 10.04/7.67 tff(35681,plain,
% 10.04/7.67 ((~xuntil22(s16)) | until21(s17)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35680, 1760, 35465])).
% 10.04/7.67 tff(35682,plain,
% 10.04/7.67 (until21(s17)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35681, 35677])).
% 10.04/7.67 tff(35683,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s17) | node20(s17) | (~until21(s17)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35684,plain,
% 10.04/7.67 ((node20(s17) | (~until21(s17)) | xuntil22(s17)) <=> (xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35685,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s17) | node20(s17) | (~until21(s17))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35684])).
% 10.04/7.67 tff(35686,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35685, 35683])).
% 10.04/7.67 tff(35687,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35688,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35687, 35686])).
% 10.04/7.67 tff(35689,plain,
% 10.04/7.67 (xuntil22(s17)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35688, 35447, 35682, 35294])).
% 10.04/7.67 tff(35690,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35691,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35692,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35691, 35690])).
% 10.04/7.67 tff(35693,plain,
% 10.04/7.67 ((~xuntil22(s17)) | until21(s18)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35692, 1827, 35465])).
% 10.04/7.67 tff(35694,plain,
% 10.04/7.67 (until21(s18)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35693, 35689])).
% 10.04/7.67 tff(35695,plain,
% 10.04/7.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s18) | (~node20(s18)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s18) | (~node20(s18)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35696,plain,
% 10.04/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s18) | (~node20(s18)))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35697,plain,
% 10.04/7.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s18) | (~node20(s18))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35696, 35695])).
% 10.04/7.67 tff(35698,plain,
% 10.04/7.67 (~node20(s18)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35697, 32139, 35285])).
% 10.04/7.67 tff(35699,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s18) | node20(s18) | (~until21(s18)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35700,plain,
% 10.04/7.67 ((node20(s18) | (~until21(s18)) | xuntil22(s18)) <=> (xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35701,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s18) | node20(s18) | (~until21(s18))))),
% 10.04/7.67 inference(monotonicity,[status(thm)],[35700])).
% 10.04/7.67 tff(35702,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 10.04/7.67 inference(transitivity,[status(thm)],[35701, 35699])).
% 10.04/7.67 tff(35703,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35704,plain,
% 10.04/7.67 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18))),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35703, 35702])).
% 10.04/7.67 tff(35705,plain,
% 10.04/7.67 (xuntil22(s18) | (~until21(s18))),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35704, 35447, 35698])).
% 10.04/7.67 tff(35706,plain,
% 10.04/7.67 (xuntil22(s18)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35705, 35694])).
% 10.04/7.67 tff(35707,plain,
% 10.04/7.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35708,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))),
% 10.04/7.67 inference(quant_inst,[status(thm)],[])).
% 10.04/7.67 tff(35709,plain,
% 10.04/7.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19)),
% 10.04/7.67 inference(modus_ponens,[status(thm)],[35708, 35707])).
% 10.04/7.67 tff(35710,plain,
% 10.04/7.67 ((~xuntil22(s18)) | until21(s19)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35709, 1926, 35465])).
% 10.04/7.67 tff(35711,plain,
% 10.04/7.67 (until21(s19)),
% 10.04/7.67 inference(unit_resolution,[status(thm)],[35710, 35706])).
% 10.04/7.67 tff(35712,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s19) | node20(s19) | (~until21(s19)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35713,plain,
% 10.04/7.67 ((node20(s19) | (~until21(s19)) | xuntil22(s19)) <=> (xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 10.04/7.67 inference(rewrite,[status(thm)],[])).
% 10.04/7.67 tff(35714,plain,
% 10.04/7.67 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s19) | node20(s19) | (~until21(s19))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35713])).
% 10.04/7.68 tff(35715,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35714, 35712])).
% 10.04/7.68 tff(35716,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35717,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35716, 35715])).
% 10.04/7.68 tff(35718,plain,
% 10.04/7.68 (xuntil22(s19)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35717, 35447, 35711, 35278])).
% 10.04/7.68 tff(35719,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35720,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35721,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35720, 35719])).
% 10.04/7.68 tff(35722,plain,
% 10.04/7.68 ((~xuntil22(s19)) | until21(s20)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35721, 2004, 35465])).
% 10.04/7.68 tff(35723,plain,
% 10.04/7.68 (until21(s20)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35722, 35718])).
% 10.04/7.68 tff(35724,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s20) | node20(s20) | (~until21(s20)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35725,plain,
% 10.04/7.68 ((node20(s20) | (~until21(s20)) | xuntil22(s20)) <=> (xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35726,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s20) | node20(s20) | (~until21(s20))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35725])).
% 10.04/7.68 tff(35727,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35726, 35724])).
% 10.04/7.68 tff(35728,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35729,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 10.04/7.68 tff(35730,plain,
% 10.04/7.68 (xuntil22(s20) | node20(s20)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35729, 35447, 35723])).
% 10.04/7.68 tff(35731,plain,
% 10.04/7.68 (xuntil22(s20)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35730, 35270])).
% 10.04/7.68 tff(35732,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35733,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35734,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 10.04/7.68 tff(35735,plain,
% 10.04/7.68 ((~xuntil22(s20)) | until21(s21)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35734, 2065, 35465])).
% 10.04/7.68 tff(35736,plain,
% 10.04/7.68 (until21(s21)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35735, 35731])).
% 10.04/7.68 tff(35737,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s21) | node20(s21) | (~until21(s21)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35738,plain,
% 10.04/7.68 ((node20(s21) | (~until21(s21)) | xuntil22(s21)) <=> (xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35739,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s21) | node20(s21) | (~until21(s21))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35738])).
% 10.04/7.68 tff(35740,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35739, 35737])).
% 10.04/7.68 tff(35741,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35742,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35741, 35740])).
% 10.04/7.68 tff(35743,plain,
% 10.04/7.68 (xuntil22(s21)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35742, 35447, 35736, 35261])).
% 10.04/7.68 tff(35744,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35745,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35746,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35745, 35744])).
% 10.04/7.68 tff(35747,plain,
% 10.04/7.68 ((~xuntil22(s21)) | until21(s22)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35746, 2160, 35465])).
% 10.04/7.68 tff(35748,plain,
% 10.04/7.68 (until21(s22)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35747, 35743])).
% 10.04/7.68 tff(35749,plain,
% 10.04/7.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35750,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35751,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35750, 35749])).
% 10.04/7.68 tff(35752,plain,
% 10.04/7.68 (~node20(s22)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35751, 32139, 35252])).
% 10.04/7.68 tff(35753,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s22) | node20(s22) | (~until21(s22)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35754,plain,
% 10.04/7.68 ((node20(s22) | (~until21(s22)) | xuntil22(s22)) <=> (xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35755,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s22) | node20(s22) | (~until21(s22))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35754])).
% 10.04/7.68 tff(35756,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35755, 35753])).
% 10.04/7.68 tff(35757,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35758,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35757, 35756])).
% 10.04/7.68 tff(35759,plain,
% 10.04/7.68 (xuntil22(s22) | (~until21(s22))),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35758, 35447, 35752])).
% 10.04/7.68 tff(35760,plain,
% 10.04/7.68 (xuntil22(s22)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35759, 35748])).
% 10.04/7.68 tff(35761,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35762,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35763,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35762, 35761])).
% 10.04/7.68 tff(35764,plain,
% 10.04/7.68 ((~xuntil22(s22)) | until21(s23)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35763, 2224, 35465])).
% 10.04/7.68 tff(35765,plain,
% 10.04/7.68 (until21(s23)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35764, 35760])).
% 10.04/7.68 tff(35766,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s23) | node20(s23) | (~until21(s23)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35767,plain,
% 10.04/7.68 ((node20(s23) | (~until21(s23)) | xuntil22(s23)) <=> (xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35768,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s23) | node20(s23) | (~until21(s23))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35767])).
% 10.04/7.68 tff(35769,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35768, 35766])).
% 10.04/7.68 tff(35770,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35771,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35770, 35769])).
% 10.04/7.68 tff(35772,plain,
% 10.04/7.68 (xuntil22(s23)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35771, 35447, 35765, 35245])).
% 10.04/7.68 tff(35773,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35774,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35775,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35774, 35773])).
% 10.04/7.68 tff(35776,plain,
% 10.04/7.68 ((~xuntil22(s23)) | until21(s24)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35775, 2299, 35465])).
% 10.04/7.68 tff(35777,plain,
% 10.04/7.68 (until21(s24)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35776, 35772])).
% 10.04/7.68 tff(35778,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s24) | node20(s24) | (~until21(s24)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35779,plain,
% 10.04/7.68 ((node20(s24) | (~until21(s24)) | xuntil22(s24)) <=> (xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35780,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s24) | node20(s24) | (~until21(s24))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35779])).
% 10.04/7.68 tff(35781,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35780, 35778])).
% 10.04/7.68 tff(35782,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35783,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35782, 35781])).
% 10.04/7.68 tff(35784,plain,
% 10.04/7.68 (xuntil22(s24) | node20(s24)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35783, 35447, 35777])).
% 10.04/7.68 tff(35785,plain,
% 10.04/7.68 (xuntil22(s24)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35784, 35237])).
% 10.04/7.68 tff(35786,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35787,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35788,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35787, 35786])).
% 10.04/7.68 tff(35789,plain,
% 10.04/7.68 ((~xuntil22(s24)) | until21(s25)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35788, 2388, 35465])).
% 10.04/7.68 tff(35790,plain,
% 10.04/7.68 (until21(s25)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35789, 35785])).
% 10.04/7.68 tff(35791,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s25) | node20(s25) | (~until21(s25)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35792,plain,
% 10.04/7.68 ((node20(s25) | (~until21(s25)) | xuntil22(s25)) <=> (xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35793,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s25) | node20(s25) | (~until21(s25))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35792])).
% 10.04/7.68 tff(35794,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35793, 35791])).
% 10.04/7.68 tff(35795,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35796,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35795, 35794])).
% 10.04/7.68 tff(35797,plain,
% 10.04/7.68 (xuntil22(s25)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35796, 35447, 35790, 35228])).
% 10.04/7.68 tff(35798,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35799,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35800,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35799, 35798])).
% 10.04/7.68 tff(35801,plain,
% 10.04/7.68 ((~xuntil22(s25)) | until21(s26)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35800, 2455, 35465])).
% 10.04/7.68 tff(35802,plain,
% 10.04/7.68 (until21(s26)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35801, 35797])).
% 10.04/7.68 tff(35803,plain,
% 10.04/7.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35804,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35805,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 10.04/7.68 tff(35806,plain,
% 10.04/7.68 (~node20(s26)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35805, 32139, 35219])).
% 10.04/7.68 tff(35807,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s26) | node20(s26) | (~until21(s26)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35808,plain,
% 10.04/7.68 ((node20(s26) | (~until21(s26)) | xuntil22(s26)) <=> (xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35809,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s26) | node20(s26) | (~until21(s26))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35808])).
% 10.04/7.68 tff(35810,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35809, 35807])).
% 10.04/7.68 tff(35811,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35812,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35811, 35810])).
% 10.04/7.68 tff(35813,plain,
% 10.04/7.68 (xuntil22(s26) | (~until21(s26))),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35812, 35447, 35806])).
% 10.04/7.68 tff(35814,plain,
% 10.04/7.68 (xuntil22(s26)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35813, 35802])).
% 10.04/7.68 tff(35815,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35816,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35817,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35816, 35815])).
% 10.04/7.68 tff(35818,plain,
% 10.04/7.68 ((~xuntil22(s26)) | until21(s27)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35817, 2554, 35465])).
% 10.04/7.68 tff(35819,plain,
% 10.04/7.68 (until21(s27)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35818, 35814])).
% 10.04/7.68 tff(35820,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s27) | node20(s27) | (~until21(s27)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35821,plain,
% 10.04/7.68 ((node20(s27) | (~until21(s27)) | xuntil22(s27)) <=> (xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35822,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s27) | node20(s27) | (~until21(s27))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35821])).
% 10.04/7.68 tff(35823,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35822, 35820])).
% 10.04/7.68 tff(35824,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35825,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35824, 35823])).
% 10.04/7.68 tff(35826,plain,
% 10.04/7.68 (xuntil22(s27)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35825, 35447, 35819, 35212])).
% 10.04/7.68 tff(35827,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35828,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35829,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35828, 35827])).
% 10.04/7.68 tff(35830,plain,
% 10.04/7.68 ((~xuntil22(s27)) | until21(s28)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35829, 2632, 35465])).
% 10.04/7.68 tff(35831,plain,
% 10.04/7.68 (until21(s28)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35830, 35826])).
% 10.04/7.68 tff(35832,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s28) | node20(s28) | (~until21(s28)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35833,plain,
% 10.04/7.68 ((node20(s28) | (~until21(s28)) | xuntil22(s28)) <=> (xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35834,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s28) | node20(s28) | (~until21(s28))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35833])).
% 10.04/7.68 tff(35835,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35834, 35832])).
% 10.04/7.68 tff(35836,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35837,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35836, 35835])).
% 10.04/7.68 tff(35838,plain,
% 10.04/7.68 (xuntil22(s28) | node20(s28)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35837, 35447, 35831])).
% 10.04/7.68 tff(35839,plain,
% 10.04/7.68 (xuntil22(s28)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35838, 35204])).
% 10.04/7.68 tff(35840,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35841,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35842,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35841, 35840])).
% 10.04/7.68 tff(35843,plain,
% 10.04/7.68 ((~xuntil22(s28)) | until21(s29)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35842, 2693, 35465])).
% 10.04/7.68 tff(35844,plain,
% 10.04/7.68 (until21(s29)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35843, 35839])).
% 10.04/7.68 tff(35845,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s29) | node20(s29) | (~until21(s29)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35846,plain,
% 10.04/7.68 ((node20(s29) | (~until21(s29)) | xuntil22(s29)) <=> (xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35847,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s29) | node20(s29) | (~until21(s29))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35846])).
% 10.04/7.68 tff(35848,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35847, 35845])).
% 10.04/7.68 tff(35849,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35850,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35849, 35848])).
% 10.04/7.68 tff(35851,plain,
% 10.04/7.68 (xuntil22(s29)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35850, 35447, 35844, 35195])).
% 10.04/7.68 tff(35852,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35853,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35854,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35853, 35852])).
% 10.04/7.68 tff(35855,plain,
% 10.04/7.68 ((~xuntil22(s29)) | until21(s30)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35854, 2788, 35465])).
% 10.04/7.68 tff(35856,plain,
% 10.04/7.68 (until21(s30)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35855, 35851])).
% 10.04/7.68 tff(35857,plain,
% 10.04/7.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35858,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35859,plain,
% 10.04/7.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35858, 35857])).
% 10.04/7.68 tff(35860,plain,
% 10.04/7.68 (~node20(s30)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35859, 32139, 35186])).
% 10.04/7.68 tff(35861,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s30) | node20(s30) | (~until21(s30)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35862,plain,
% 10.04/7.68 ((node20(s30) | (~until21(s30)) | xuntil22(s30)) <=> (xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35863,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s30) | node20(s30) | (~until21(s30))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35862])).
% 10.04/7.68 tff(35864,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35863, 35861])).
% 10.04/7.68 tff(35865,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35866,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35865, 35864])).
% 10.04/7.68 tff(35867,plain,
% 10.04/7.68 (xuntil22(s30) | (~until21(s30))),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35866, 35447, 35860])).
% 10.04/7.68 tff(35868,plain,
% 10.04/7.68 (xuntil22(s30)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35867, 35856])).
% 10.04/7.68 tff(35869,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35870,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35871,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35870, 35869])).
% 10.04/7.68 tff(35872,plain,
% 10.04/7.68 ((~xuntil22(s30)) | until21(s31)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35871, 2852, 35465])).
% 10.04/7.68 tff(35873,plain,
% 10.04/7.68 (until21(s31)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35872, 35868])).
% 10.04/7.68 tff(35874,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s31) | node20(s31) | (~until21(s31)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35875,plain,
% 10.04/7.68 ((node20(s31) | (~until21(s31)) | xuntil22(s31)) <=> (xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35876,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s31) | node20(s31) | (~until21(s31))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35875])).
% 10.04/7.68 tff(35877,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35876, 35874])).
% 10.04/7.68 tff(35878,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35879,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35878, 35877])).
% 10.04/7.68 tff(35880,plain,
% 10.04/7.68 (xuntil22(s31)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35879, 35447, 35873, 35179])).
% 10.04/7.68 tff(35881,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35882,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35883,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35882, 35881])).
% 10.04/7.68 tff(35884,plain,
% 10.04/7.68 ((~xuntil22(s31)) | until21(s32)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35883, 2927, 35465])).
% 10.04/7.68 tff(35885,plain,
% 10.04/7.68 (until21(s32)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35884, 35880])).
% 10.04/7.68 tff(35886,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s32) | node20(s32) | (~until21(s32)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35887,plain,
% 10.04/7.68 ((node20(s32) | (~until21(s32)) | xuntil22(s32)) <=> (xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35888,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s32) | node20(s32) | (~until21(s32))))),
% 10.04/7.68 inference(monotonicity,[status(thm)],[35887])).
% 10.04/7.68 tff(35889,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 10.04/7.68 inference(transitivity,[status(thm)],[35888, 35886])).
% 10.04/7.68 tff(35890,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35891,plain,
% 10.04/7.68 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32))),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35890, 35889])).
% 10.04/7.68 tff(35892,plain,
% 10.04/7.68 (xuntil22(s32) | node20(s32)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35891, 35447, 35885])).
% 10.04/7.68 tff(35893,plain,
% 10.04/7.68 (xuntil22(s32)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35892, 35171])).
% 10.04/7.68 tff(35894,plain,
% 10.04/7.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35895,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))),
% 10.04/7.68 inference(quant_inst,[status(thm)],[])).
% 10.04/7.68 tff(35896,plain,
% 10.04/7.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33)),
% 10.04/7.68 inference(modus_ponens,[status(thm)],[35895, 35894])).
% 10.04/7.68 tff(35897,plain,
% 10.04/7.68 ((~xuntil22(s32)) | until21(s33)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35896, 3016, 35465])).
% 10.04/7.68 tff(35898,plain,
% 10.04/7.68 (until21(s33)),
% 10.04/7.68 inference(unit_resolution,[status(thm)],[35897, 35893])).
% 10.04/7.68 tff(35899,plain,
% 10.04/7.68 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s33) | node20(s33) | (~until21(s33)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 10.04/7.68 inference(rewrite,[status(thm)],[])).
% 10.04/7.68 tff(35900,plain,
% 10.04/7.68 ((node20(s33) | (~until21(s33)) | xuntil22(s33)) <=> (xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35901,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s33) | node20(s33) | (~until21(s33))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35900])).
% 10.04/7.69 tff(35902,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35901, 35899])).
% 10.04/7.69 tff(35903,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35904,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35903, 35902])).
% 10.04/7.69 tff(35905,plain,
% 10.04/7.69 (xuntil22(s33)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35904, 35447, 35898, 35162])).
% 10.04/7.69 tff(35906,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35907,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35908,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35907, 35906])).
% 10.04/7.69 tff(35909,plain,
% 10.04/7.69 ((~xuntil22(s33)) | until21(s34)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35908, 3083, 35465])).
% 10.04/7.69 tff(35910,plain,
% 10.04/7.69 (until21(s34)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35909, 35905])).
% 10.04/7.69 tff(35911,plain,
% 10.04/7.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35912,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35913,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35912, 35911])).
% 10.04/7.69 tff(35914,plain,
% 10.04/7.69 (~node20(s34)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35913, 32139, 35153])).
% 10.04/7.69 tff(35915,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s34) | node20(s34) | (~until21(s34)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35916,plain,
% 10.04/7.69 ((node20(s34) | (~until21(s34)) | xuntil22(s34)) <=> (xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35917,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s34) | node20(s34) | (~until21(s34))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35916])).
% 10.04/7.69 tff(35918,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35917, 35915])).
% 10.04/7.69 tff(35919,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35920,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 10.04/7.69 tff(35921,plain,
% 10.04/7.69 (xuntil22(s34) | (~until21(s34))),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35920, 35447, 35914])).
% 10.04/7.69 tff(35922,plain,
% 10.04/7.69 (xuntil22(s34)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35921, 35910])).
% 10.04/7.69 tff(35923,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35924,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35925,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35924, 35923])).
% 10.04/7.69 tff(35926,plain,
% 10.04/7.69 ((~xuntil22(s34)) | until21(s35)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35925, 3182, 35465])).
% 10.04/7.69 tff(35927,plain,
% 10.04/7.69 (until21(s35)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35926, 35922])).
% 10.04/7.69 tff(35928,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s35) | node20(s35) | (~until21(s35)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35929,plain,
% 10.04/7.69 ((node20(s35) | (~until21(s35)) | xuntil22(s35)) <=> (xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35930,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s35) | node20(s35) | (~until21(s35))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35929])).
% 10.04/7.69 tff(35931,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35930, 35928])).
% 10.04/7.69 tff(35932,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35933,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 10.04/7.69 tff(35934,plain,
% 10.04/7.69 (xuntil22(s35)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35933, 35447, 35927, 35146])).
% 10.04/7.69 tff(35935,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35936,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35937,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35936, 35935])).
% 10.04/7.69 tff(35938,plain,
% 10.04/7.69 ((~xuntil22(s35)) | until21(s36)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35937, 3260, 35465])).
% 10.04/7.69 tff(35939,plain,
% 10.04/7.69 (until21(s36)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35938, 35934])).
% 10.04/7.69 tff(35940,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s36) | node20(s36) | (~until21(s36)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35941,plain,
% 10.04/7.69 ((node20(s36) | (~until21(s36)) | xuntil22(s36)) <=> (xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35942,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s36) | node20(s36) | (~until21(s36))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35941])).
% 10.04/7.69 tff(35943,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35942, 35940])).
% 10.04/7.69 tff(35944,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35945,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 10.04/7.69 tff(35946,plain,
% 10.04/7.69 (xuntil22(s36) | node20(s36)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35945, 35447, 35939])).
% 10.04/7.69 tff(35947,plain,
% 10.04/7.69 (xuntil22(s36)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35946, 35138])).
% 10.04/7.69 tff(35948,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35949,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35950,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35949, 35948])).
% 10.04/7.69 tff(35951,plain,
% 10.04/7.69 ((~xuntil22(s36)) | until21(s37)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35950, 3321, 35465])).
% 10.04/7.69 tff(35952,plain,
% 10.04/7.69 (until21(s37)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35951, 35947])).
% 10.04/7.69 tff(35953,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s37) | node20(s37) | (~until21(s37)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35954,plain,
% 10.04/7.69 ((node20(s37) | (~until21(s37)) | xuntil22(s37)) <=> (xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35955,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s37) | node20(s37) | (~until21(s37))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35954])).
% 10.04/7.69 tff(35956,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35955, 35953])).
% 10.04/7.69 tff(35957,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35958,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35957, 35956])).
% 10.04/7.69 tff(35959,plain,
% 10.04/7.69 (xuntil22(s37)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35958, 35447, 35952, 35129])).
% 10.04/7.69 tff(35960,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35961,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35962,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35961, 35960])).
% 10.04/7.69 tff(35963,plain,
% 10.04/7.69 ((~xuntil22(s37)) | until21(s38)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35962, 3416, 35465])).
% 10.04/7.69 tff(35964,plain,
% 10.04/7.69 (until21(s38)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35963, 35959])).
% 10.04/7.69 tff(35965,plain,
% 10.04/7.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35966,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35967,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35966, 35965])).
% 10.04/7.69 tff(35968,plain,
% 10.04/7.69 (~node20(s38)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35967, 32139, 35120])).
% 10.04/7.69 tff(35969,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s38) | node20(s38) | (~until21(s38)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35970,plain,
% 10.04/7.69 ((node20(s38) | (~until21(s38)) | xuntil22(s38)) <=> (xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35971,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s38) | node20(s38) | (~until21(s38))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35970])).
% 10.04/7.69 tff(35972,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35971, 35969])).
% 10.04/7.69 tff(35973,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35974,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35973, 35972])).
% 10.04/7.69 tff(35975,plain,
% 10.04/7.69 (xuntil22(s38) | (~until21(s38))),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35974, 35447, 35968])).
% 10.04/7.69 tff(35976,plain,
% 10.04/7.69 (xuntil22(s38)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35975, 35964])).
% 10.04/7.69 tff(35977,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35978,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35979,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35978, 35977])).
% 10.04/7.69 tff(35980,plain,
% 10.04/7.69 ((~xuntil22(s38)) | until21(s39)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35979, 3480, 35465])).
% 10.04/7.69 tff(35981,plain,
% 10.04/7.69 (until21(s39)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35980, 35976])).
% 10.04/7.69 tff(35982,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s39) | node20(s39) | (~until21(s39)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35983,plain,
% 10.04/7.69 ((node20(s39) | (~until21(s39)) | xuntil22(s39)) <=> (xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35984,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s39) | node20(s39) | (~until21(s39))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35983])).
% 10.04/7.69 tff(35985,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35984, 35982])).
% 10.04/7.69 tff(35986,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35987,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35986, 35985])).
% 10.04/7.69 tff(35988,plain,
% 10.04/7.69 (xuntil22(s39)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35987, 35447, 35981, 35113])).
% 10.04/7.69 tff(35989,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35990,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35991,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35990, 35989])).
% 10.04/7.69 tff(35992,plain,
% 10.04/7.69 ((~xuntil22(s39)) | until21(s40)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35991, 3555, 35465])).
% 10.04/7.69 tff(35993,plain,
% 10.04/7.69 (until21(s40)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35992, 35988])).
% 10.04/7.69 tff(35994,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s40) | node20(s40) | (~until21(s40)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35995,plain,
% 10.04/7.69 ((node20(s40) | (~until21(s40)) | xuntil22(s40)) <=> (xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(35996,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s40) | node20(s40) | (~until21(s40))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[35995])).
% 10.04/7.69 tff(35997,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[35996, 35994])).
% 10.04/7.69 tff(35998,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(35999,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[35998, 35997])).
% 10.04/7.69 tff(36000,plain,
% 10.04/7.69 (xuntil22(s40) | node20(s40)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[35999, 35447, 35993])).
% 10.04/7.69 tff(36001,plain,
% 10.04/7.69 (xuntil22(s40)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36000, 35105])).
% 10.04/7.69 tff(36002,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36003,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36004,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36003, 36002])).
% 10.04/7.69 tff(36005,plain,
% 10.04/7.69 ((~xuntil22(s40)) | until21(s41)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36004, 3644, 35465])).
% 10.04/7.69 tff(36006,plain,
% 10.04/7.69 (until21(s41)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36005, 36001])).
% 10.04/7.69 tff(36007,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s41) | node20(s41) | (~until21(s41)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36008,plain,
% 10.04/7.69 ((node20(s41) | (~until21(s41)) | xuntil22(s41)) <=> (xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36009,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s41) | node20(s41) | (~until21(s41))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36008])).
% 10.04/7.69 tff(36010,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36009, 36007])).
% 10.04/7.69 tff(36011,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36012,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36011, 36010])).
% 10.04/7.69 tff(36013,plain,
% 10.04/7.69 (xuntil22(s41)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36012, 35447, 36006, 35096])).
% 10.04/7.69 tff(36014,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36015,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36016,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36015, 36014])).
% 10.04/7.69 tff(36017,plain,
% 10.04/7.69 ((~xuntil22(s41)) | until21(s42)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36016, 3711, 35465])).
% 10.04/7.69 tff(36018,plain,
% 10.04/7.69 (until21(s42)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36017, 36013])).
% 10.04/7.69 tff(36019,plain,
% 10.04/7.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36020,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36021,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36020, 36019])).
% 10.04/7.69 tff(36022,plain,
% 10.04/7.69 (~node20(s42)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36021, 32139, 35087])).
% 10.04/7.69 tff(36023,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s42) | node20(s42) | (~until21(s42)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36024,plain,
% 10.04/7.69 ((node20(s42) | (~until21(s42)) | xuntil22(s42)) <=> (xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36025,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s42) | node20(s42) | (~until21(s42))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36024])).
% 10.04/7.69 tff(36026,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36025, 36023])).
% 10.04/7.69 tff(36027,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36028,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36027, 36026])).
% 10.04/7.69 tff(36029,plain,
% 10.04/7.69 (xuntil22(s42) | (~until21(s42))),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36028, 35447, 36022])).
% 10.04/7.69 tff(36030,plain,
% 10.04/7.69 (xuntil22(s42)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36029, 36018])).
% 10.04/7.69 tff(36031,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36032,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36033,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36032, 36031])).
% 10.04/7.69 tff(36034,plain,
% 10.04/7.69 ((~xuntil22(s42)) | until21(s43)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36033, 3810, 35465])).
% 10.04/7.69 tff(36035,plain,
% 10.04/7.69 (until21(s43)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36034, 36030])).
% 10.04/7.69 tff(36036,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s43) | node20(s43) | (~until21(s43)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36037,plain,
% 10.04/7.69 ((node20(s43) | (~until21(s43)) | xuntil22(s43)) <=> (xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36038,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s43) | node20(s43) | (~until21(s43))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36037])).
% 10.04/7.69 tff(36039,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36038, 36036])).
% 10.04/7.69 tff(36040,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36041,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 10.04/7.69 tff(36042,plain,
% 10.04/7.69 (xuntil22(s43)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36041, 35447, 36035, 35080])).
% 10.04/7.69 tff(36043,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36044,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36045,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36044, 36043])).
% 10.04/7.69 tff(36046,plain,
% 10.04/7.69 ((~xuntil22(s43)) | until21(s44)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36045, 3888, 35465])).
% 10.04/7.69 tff(36047,plain,
% 10.04/7.69 (until21(s44)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36046, 36042])).
% 10.04/7.69 tff(36048,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s44) | node20(s44) | (~until21(s44)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36049,plain,
% 10.04/7.69 ((node20(s44) | (~until21(s44)) | xuntil22(s44)) <=> (xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36050,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s44) | node20(s44) | (~until21(s44))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36049])).
% 10.04/7.69 tff(36051,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36050, 36048])).
% 10.04/7.69 tff(36052,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36053,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36052, 36051])).
% 10.04/7.69 tff(36054,plain,
% 10.04/7.69 (xuntil22(s44) | node20(s44)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36053, 35447, 36047])).
% 10.04/7.69 tff(36055,plain,
% 10.04/7.69 (xuntil22(s44)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36054, 35072])).
% 10.04/7.69 tff(36056,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36057,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36058,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 10.04/7.69 tff(36059,plain,
% 10.04/7.69 ((~xuntil22(s44)) | until21(s45)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36058, 3949, 35465])).
% 10.04/7.69 tff(36060,plain,
% 10.04/7.69 (until21(s45)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36059, 36055])).
% 10.04/7.69 tff(36061,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s45) | node20(s45) | (~until21(s45)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36062,plain,
% 10.04/7.69 ((node20(s45) | (~until21(s45)) | xuntil22(s45)) <=> (xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36063,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s45) | node20(s45) | (~until21(s45))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36062])).
% 10.04/7.69 tff(36064,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36063, 36061])).
% 10.04/7.69 tff(36065,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36066,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36065, 36064])).
% 10.04/7.69 tff(36067,plain,
% 10.04/7.69 (xuntil22(s45)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36066, 35447, 36060, 35063])).
% 10.04/7.69 tff(36068,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36069,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36070,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36069, 36068])).
% 10.04/7.69 tff(36071,plain,
% 10.04/7.69 ((~xuntil22(s45)) | until21(s46)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36070, 4044, 35465])).
% 10.04/7.69 tff(36072,plain,
% 10.04/7.69 (until21(s46)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36071, 36067])).
% 10.04/7.69 tff(36073,plain,
% 10.04/7.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36074,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36075,plain,
% 10.04/7.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36074, 36073])).
% 10.04/7.69 tff(36076,plain,
% 10.04/7.69 (~node20(s46)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36075, 32139, 35054])).
% 10.04/7.69 tff(36077,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s46) | node20(s46) | (~until21(s46)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36078,plain,
% 10.04/7.69 ((node20(s46) | (~until21(s46)) | xuntil22(s46)) <=> (xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36079,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s46) | node20(s46) | (~until21(s46))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36078])).
% 10.04/7.69 tff(36080,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36079, 36077])).
% 10.04/7.69 tff(36081,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36082,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36081, 36080])).
% 10.04/7.69 tff(36083,plain,
% 10.04/7.69 (xuntil22(s46) | (~until21(s46))),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36082, 35447, 36076])).
% 10.04/7.69 tff(36084,plain,
% 10.04/7.69 (xuntil22(s46)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36083, 36072])).
% 10.04/7.69 tff(36085,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36086,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36087,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36086, 36085])).
% 10.04/7.69 tff(36088,plain,
% 10.04/7.69 ((~xuntil22(s46)) | until21(s47)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36087, 4108, 35465])).
% 10.04/7.69 tff(36089,plain,
% 10.04/7.69 (until21(s47)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36088, 36084])).
% 10.04/7.69 tff(36090,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s47) | node20(s47) | (~until21(s47)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36091,plain,
% 10.04/7.69 ((node20(s47) | (~until21(s47)) | xuntil22(s47)) <=> (xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36092,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s47) | node20(s47) | (~until21(s47))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36091])).
% 10.04/7.69 tff(36093,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36092, 36090])).
% 10.04/7.69 tff(36094,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36095,plain,
% 10.04/7.69 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47))),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36094, 36093])).
% 10.04/7.69 tff(36096,plain,
% 10.04/7.69 (xuntil22(s47)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36095, 35447, 36089, 35047])).
% 10.04/7.69 tff(36097,plain,
% 10.04/7.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36098,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))),
% 10.04/7.69 inference(quant_inst,[status(thm)],[])).
% 10.04/7.69 tff(36099,plain,
% 10.04/7.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48)),
% 10.04/7.69 inference(modus_ponens,[status(thm)],[36098, 36097])).
% 10.04/7.69 tff(36100,plain,
% 10.04/7.69 ((~xuntil22(s47)) | until21(s48)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36099, 4183, 35465])).
% 10.04/7.69 tff(36101,plain,
% 10.04/7.69 (until21(s48)),
% 10.04/7.69 inference(unit_resolution,[status(thm)],[36100, 36096])).
% 10.04/7.69 tff(36102,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s48) | node20(s48) | (~until21(s48)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36103,plain,
% 10.04/7.69 ((node20(s48) | (~until21(s48)) | xuntil22(s48)) <=> (xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 10.04/7.69 inference(rewrite,[status(thm)],[])).
% 10.04/7.69 tff(36104,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s48) | node20(s48) | (~until21(s48))))),
% 10.04/7.69 inference(monotonicity,[status(thm)],[36103])).
% 10.04/7.69 tff(36105,plain,
% 10.04/7.69 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 10.04/7.69 inference(transitivity,[status(thm)],[36104, 36102])).
% 10.04/7.69 tff(36106,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36107,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36106, 36105])).
% 10.04/7.70 tff(36108,plain,
% 10.04/7.70 (xuntil22(s48) | node20(s48)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36107, 35447, 36101])).
% 10.04/7.70 tff(36109,plain,
% 10.04/7.70 (xuntil22(s48)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36108, 35039])).
% 10.04/7.70 tff(36110,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36111,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36112,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36111, 36110])).
% 10.04/7.70 tff(36113,plain,
% 10.04/7.70 ((~xuntil22(s48)) | until21(s49)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36112, 4272, 35465])).
% 10.04/7.70 tff(36114,plain,
% 10.04/7.70 (until21(s49)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36113, 36109])).
% 10.04/7.70 tff(36115,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s49) | node20(s49) | (~until21(s49)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36116,plain,
% 10.04/7.70 ((node20(s49) | (~until21(s49)) | xuntil22(s49)) <=> (xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36117,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s49) | node20(s49) | (~until21(s49))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36116])).
% 10.04/7.70 tff(36118,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36117, 36115])).
% 10.04/7.70 tff(36119,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36120,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 10.04/7.70 tff(36121,plain,
% 10.04/7.70 (xuntil22(s49)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36120, 35447, 36114, 35030])).
% 10.04/7.70 tff(36122,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36123,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36124,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36123, 36122])).
% 10.04/7.70 tff(36125,plain,
% 10.04/7.70 ((~xuntil22(s49)) | until21(s50)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36124, 4339, 35465])).
% 10.04/7.70 tff(36126,plain,
% 10.04/7.70 (until21(s50)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36125, 36121])).
% 10.04/7.70 tff(36127,plain,
% 10.04/7.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36128,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36129,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36128, 36127])).
% 10.04/7.70 tff(36130,plain,
% 10.04/7.70 (~node20(s50)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36129, 32139, 35021])).
% 10.04/7.70 tff(36131,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s50) | node20(s50) | (~until21(s50)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36132,plain,
% 10.04/7.70 ((node20(s50) | (~until21(s50)) | xuntil22(s50)) <=> (xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36133,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s50) | node20(s50) | (~until21(s50))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36132])).
% 10.04/7.70 tff(36134,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36133, 36131])).
% 10.04/7.70 tff(36135,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36136,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36135, 36134])).
% 10.04/7.70 tff(36137,plain,
% 10.04/7.70 (xuntil22(s50) | (~until21(s50))),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36136, 35447, 36130])).
% 10.04/7.70 tff(36138,plain,
% 10.04/7.70 (xuntil22(s50)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36137, 36126])).
% 10.04/7.70 tff(36139,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36140,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36141,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36140, 36139])).
% 10.04/7.70 tff(36142,plain,
% 10.04/7.70 ((~xuntil22(s50)) | until21(s51)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36141, 4438, 35465])).
% 10.04/7.70 tff(36143,plain,
% 10.04/7.70 (until21(s51)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36142, 36138])).
% 10.04/7.70 tff(36144,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s51) | node20(s51) | (~until21(s51)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36145,plain,
% 10.04/7.70 ((node20(s51) | (~until21(s51)) | xuntil22(s51)) <=> (xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36146,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s51) | node20(s51) | (~until21(s51))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36145])).
% 10.04/7.70 tff(36147,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36146, 36144])).
% 10.04/7.70 tff(36148,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36149,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36148, 36147])).
% 10.04/7.70 tff(36150,plain,
% 10.04/7.70 (xuntil22(s51)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36149, 35447, 36143, 35014])).
% 10.04/7.70 tff(36151,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36152,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36153,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36152, 36151])).
% 10.04/7.70 tff(36154,plain,
% 10.04/7.70 ((~xuntil22(s51)) | until21(s52)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36153, 4516, 35465])).
% 10.04/7.70 tff(36155,plain,
% 10.04/7.70 (until21(s52)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36154, 36150])).
% 10.04/7.70 tff(36156,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s52) | node20(s52) | (~until21(s52)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36157,plain,
% 10.04/7.70 ((node20(s52) | (~until21(s52)) | xuntil22(s52)) <=> (xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36158,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s52) | node20(s52) | (~until21(s52))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36157])).
% 10.04/7.70 tff(36159,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36158, 36156])).
% 10.04/7.70 tff(36160,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36161,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36160, 36159])).
% 10.04/7.70 tff(36162,plain,
% 10.04/7.70 (xuntil22(s52) | node20(s52)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36161, 35447, 36155])).
% 10.04/7.70 tff(36163,plain,
% 10.04/7.70 (xuntil22(s52)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36162, 35006])).
% 10.04/7.70 tff(36164,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36165,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36166,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36165, 36164])).
% 10.04/7.70 tff(36167,plain,
% 10.04/7.70 ((~xuntil22(s52)) | until21(s53)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36166, 4577, 35465])).
% 10.04/7.70 tff(36168,plain,
% 10.04/7.70 (until21(s53)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36167, 36163])).
% 10.04/7.70 tff(36169,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s53) | node20(s53) | (~until21(s53)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36170,plain,
% 10.04/7.70 ((node20(s53) | (~until21(s53)) | xuntil22(s53)) <=> (xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36171,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s53) | node20(s53) | (~until21(s53))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36170])).
% 10.04/7.70 tff(36172,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36171, 36169])).
% 10.04/7.70 tff(36173,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36174,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36173, 36172])).
% 10.04/7.70 tff(36175,plain,
% 10.04/7.70 (xuntil22(s53)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36174, 35447, 36168, 34997])).
% 10.04/7.70 tff(36176,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36177,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36178,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36177, 36176])).
% 10.04/7.70 tff(36179,plain,
% 10.04/7.70 ((~xuntil22(s53)) | until21(s54)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36178, 4672, 35465])).
% 10.04/7.70 tff(36180,plain,
% 10.04/7.70 (until21(s54)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36179, 36175])).
% 10.04/7.70 tff(36181,plain,
% 10.04/7.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36182,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36183,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36182, 36181])).
% 10.04/7.70 tff(36184,plain,
% 10.04/7.70 (~node20(s54)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36183, 32139, 34988])).
% 10.04/7.70 tff(36185,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s54) | node20(s54) | (~until21(s54)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36186,plain,
% 10.04/7.70 ((node20(s54) | (~until21(s54)) | xuntil22(s54)) <=> (xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36187,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s54) | node20(s54) | (~until21(s54))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36186])).
% 10.04/7.70 tff(36188,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36187, 36185])).
% 10.04/7.70 tff(36189,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36190,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36189, 36188])).
% 10.04/7.70 tff(36191,plain,
% 10.04/7.70 (xuntil22(s54) | (~until21(s54))),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36190, 35447, 36184])).
% 10.04/7.70 tff(36192,plain,
% 10.04/7.70 (xuntil22(s54)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36191, 36180])).
% 10.04/7.70 tff(36193,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36194,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36195,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 10.04/7.70 tff(36196,plain,
% 10.04/7.70 ((~xuntil22(s54)) | until21(s55)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36195, 4736, 35465])).
% 10.04/7.70 tff(36197,plain,
% 10.04/7.70 (until21(s55)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36196, 36192])).
% 10.04/7.70 tff(36198,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s55) | node20(s55) | (~until21(s55)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36199,plain,
% 10.04/7.70 ((node20(s55) | (~until21(s55)) | xuntil22(s55)) <=> (xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36200,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s55) | node20(s55) | (~until21(s55))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36199])).
% 10.04/7.70 tff(36201,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36200, 36198])).
% 10.04/7.70 tff(36202,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36203,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36202, 36201])).
% 10.04/7.70 tff(36204,plain,
% 10.04/7.70 (xuntil22(s55)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36203, 35447, 36197, 34981])).
% 10.04/7.70 tff(36205,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36206,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36207,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36206, 36205])).
% 10.04/7.70 tff(36208,plain,
% 10.04/7.70 ((~xuntil22(s55)) | until21(s56)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36207, 4811, 35465])).
% 10.04/7.70 tff(36209,plain,
% 10.04/7.70 (until21(s56)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36208, 36204])).
% 10.04/7.70 tff(36210,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s56) | node20(s56) | (~until21(s56)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36211,plain,
% 10.04/7.70 ((node20(s56) | (~until21(s56)) | xuntil22(s56)) <=> (xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36212,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s56) | node20(s56) | (~until21(s56))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36211])).
% 10.04/7.70 tff(36213,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36212, 36210])).
% 10.04/7.70 tff(36214,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36215,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36214, 36213])).
% 10.04/7.70 tff(36216,plain,
% 10.04/7.70 (xuntil22(s56) | node20(s56)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36215, 35447, 36209])).
% 10.04/7.70 tff(36217,plain,
% 10.04/7.70 (xuntil22(s56)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36216, 34973])).
% 10.04/7.70 tff(36218,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36219,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36220,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36219, 36218])).
% 10.04/7.70 tff(36221,plain,
% 10.04/7.70 ((~xuntil22(s56)) | until21(s57)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36220, 4900, 35465])).
% 10.04/7.70 tff(36222,plain,
% 10.04/7.70 (until21(s57)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36221, 36217])).
% 10.04/7.70 tff(36223,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s57) | node20(s57) | (~until21(s57)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36224,plain,
% 10.04/7.70 ((node20(s57) | (~until21(s57)) | xuntil22(s57)) <=> (xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36225,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s57) | node20(s57) | (~until21(s57))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36224])).
% 10.04/7.70 tff(36226,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36225, 36223])).
% 10.04/7.70 tff(36227,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36228,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36227, 36226])).
% 10.04/7.70 tff(36229,plain,
% 10.04/7.70 (xuntil22(s57)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36228, 35447, 36222, 34964])).
% 10.04/7.70 tff(36230,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36231,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36232,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 10.04/7.70 tff(36233,plain,
% 10.04/7.70 ((~xuntil22(s57)) | until21(s58)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36232, 4967, 35465])).
% 10.04/7.70 tff(36234,plain,
% 10.04/7.70 (until21(s58)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36233, 36229])).
% 10.04/7.70 tff(36235,plain,
% 10.04/7.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36236,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36237,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36236, 36235])).
% 10.04/7.70 tff(36238,plain,
% 10.04/7.70 (~node20(s58)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36237, 32139, 34955])).
% 10.04/7.70 tff(36239,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s58) | node20(s58) | (~until21(s58)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36240,plain,
% 10.04/7.70 ((node20(s58) | (~until21(s58)) | xuntil22(s58)) <=> (xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36241,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s58) | node20(s58) | (~until21(s58))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36240])).
% 10.04/7.70 tff(36242,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36241, 36239])).
% 10.04/7.70 tff(36243,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36244,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36243, 36242])).
% 10.04/7.70 tff(36245,plain,
% 10.04/7.70 (xuntil22(s58) | (~until21(s58))),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36244, 35447, 36238])).
% 10.04/7.70 tff(36246,plain,
% 10.04/7.70 (xuntil22(s58)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36245, 36234])).
% 10.04/7.70 tff(36247,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36248,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36249,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36248, 36247])).
% 10.04/7.70 tff(36250,plain,
% 10.04/7.70 ((~xuntil22(s58)) | until21(s59)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36249, 5066, 35465])).
% 10.04/7.70 tff(36251,plain,
% 10.04/7.70 (until21(s59)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36250, 36246])).
% 10.04/7.70 tff(36252,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s59) | node20(s59) | (~until21(s59)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36253,plain,
% 10.04/7.70 ((node20(s59) | (~until21(s59)) | xuntil22(s59)) <=> (xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36254,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s59) | node20(s59) | (~until21(s59))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36253])).
% 10.04/7.70 tff(36255,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36254, 36252])).
% 10.04/7.70 tff(36256,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36257,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36256, 36255])).
% 10.04/7.70 tff(36258,plain,
% 10.04/7.70 (xuntil22(s59)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36257, 35447, 36251, 34948])).
% 10.04/7.70 tff(36259,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36260,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36261,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36260, 36259])).
% 10.04/7.70 tff(36262,plain,
% 10.04/7.70 ((~xuntil22(s59)) | until21(s60)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36261, 5144, 35465])).
% 10.04/7.70 tff(36263,plain,
% 10.04/7.70 (until21(s60)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36262, 36258])).
% 10.04/7.70 tff(36264,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s60) | node20(s60) | (~until21(s60)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36265,plain,
% 10.04/7.70 ((node20(s60) | (~until21(s60)) | xuntil22(s60)) <=> (xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36266,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s60) | node20(s60) | (~until21(s60))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36265])).
% 10.04/7.70 tff(36267,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36266, 36264])).
% 10.04/7.70 tff(36268,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36269,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36268, 36267])).
% 10.04/7.70 tff(36270,plain,
% 10.04/7.70 (xuntil22(s60) | node20(s60)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36269, 35447, 36263])).
% 10.04/7.70 tff(36271,plain,
% 10.04/7.70 (xuntil22(s60)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36270, 34940])).
% 10.04/7.70 tff(36272,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36273,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36274,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36273, 36272])).
% 10.04/7.70 tff(36275,plain,
% 10.04/7.70 ((~xuntil22(s60)) | until21(s61)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36274, 5205, 35465])).
% 10.04/7.70 tff(36276,plain,
% 10.04/7.70 (until21(s61)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36275, 36271])).
% 10.04/7.70 tff(36277,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s61) | node20(s61) | (~until21(s61)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36278,plain,
% 10.04/7.70 ((node20(s61) | (~until21(s61)) | xuntil22(s61)) <=> (xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36279,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s61) | node20(s61) | (~until21(s61))))),
% 10.04/7.70 inference(monotonicity,[status(thm)],[36278])).
% 10.04/7.70 tff(36280,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 10.04/7.70 inference(transitivity,[status(thm)],[36279, 36277])).
% 10.04/7.70 tff(36281,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36282,plain,
% 10.04/7.70 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36281, 36280])).
% 10.04/7.70 tff(36283,plain,
% 10.04/7.70 (xuntil22(s61)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36282, 35447, 36276, 34931])).
% 10.04/7.70 tff(36284,plain,
% 10.04/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36285,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36286,plain,
% 10.04/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62)),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 10.04/7.70 tff(36287,plain,
% 10.04/7.70 ((~xuntil22(s61)) | until21(s62)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36286, 5300, 35465])).
% 10.04/7.70 tff(36288,plain,
% 10.04/7.70 (until21(s62)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36287, 36283])).
% 10.04/7.70 tff(36289,plain,
% 10.04/7.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62)))),
% 10.04/7.70 inference(rewrite,[status(thm)],[])).
% 10.04/7.70 tff(36290,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))),
% 10.04/7.70 inference(quant_inst,[status(thm)],[])).
% 10.04/7.70 tff(36291,plain,
% 10.04/7.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62))),
% 10.04/7.70 inference(modus_ponens,[status(thm)],[36290, 36289])).
% 10.04/7.70 tff(36292,plain,
% 10.04/7.70 (~node20(s62)),
% 10.04/7.70 inference(unit_resolution,[status(thm)],[36291, 32139, 34922])).
% 10.04/7.70 tff(36293,plain,
% 10.04/7.70 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s62) | node20(s62) | (~until21(s62)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36294,plain,
% 10.04/7.71 ((node20(s62) | (~until21(s62)) | xuntil22(s62)) <=> (xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36295,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s62) | node20(s62) | (~until21(s62))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36294])).
% 10.04/7.71 tff(36296,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36295, 36293])).
% 10.04/7.71 tff(36297,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36298,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36297, 36296])).
% 10.04/7.71 tff(36299,plain,
% 10.04/7.71 (xuntil22(s62) | (~until21(s62))),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36298, 35447, 36292])).
% 10.04/7.71 tff(36300,plain,
% 10.04/7.71 (xuntil22(s62)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36299, 36288])).
% 10.04/7.71 tff(36301,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36302,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36303,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36302, 36301])).
% 10.04/7.71 tff(36304,plain,
% 10.04/7.71 ((~xuntil22(s62)) | until21(s63)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36303, 5364, 35465])).
% 10.04/7.71 tff(36305,plain,
% 10.04/7.71 (until21(s63)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36304, 36300])).
% 10.04/7.71 tff(36306,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s63) | node20(s63) | (~until21(s63)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36307,plain,
% 10.04/7.71 ((node20(s63) | (~until21(s63)) | xuntil22(s63)) <=> (xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36308,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s63) | node20(s63) | (~until21(s63))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36307])).
% 10.04/7.71 tff(36309,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36308, 36306])).
% 10.04/7.71 tff(36310,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36311,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36310, 36309])).
% 10.04/7.71 tff(36312,plain,
% 10.04/7.71 (xuntil22(s63)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36311, 35447, 36305, 34915])).
% 10.04/7.71 tff(36313,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36314,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36315,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36314, 36313])).
% 10.04/7.71 tff(36316,plain,
% 10.04/7.71 ((~xuntil22(s63)) | until21(s64)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36315, 5439, 35465])).
% 10.04/7.71 tff(36317,plain,
% 10.04/7.71 (until21(s64)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36316, 36312])).
% 10.04/7.71 tff(36318,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s64) | node20(s64) | (~until21(s64)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36319,plain,
% 10.04/7.71 ((node20(s64) | (~until21(s64)) | xuntil22(s64)) <=> (xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36320,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s64) | node20(s64) | (~until21(s64))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36319])).
% 10.04/7.71 tff(36321,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36320, 36318])).
% 10.04/7.71 tff(36322,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36323,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36322, 36321])).
% 10.04/7.71 tff(36324,plain,
% 10.04/7.71 (xuntil22(s64) | node20(s64)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36323, 35447, 36317])).
% 10.04/7.71 tff(36325,plain,
% 10.04/7.71 (xuntil22(s64)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36324, 34907])).
% 10.04/7.71 tff(36326,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36327,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36328,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36327, 36326])).
% 10.04/7.71 tff(36329,plain,
% 10.04/7.71 ((~xuntil22(s64)) | until21(s65)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36328, 5528, 35465])).
% 10.04/7.71 tff(36330,plain,
% 10.04/7.71 (until21(s65)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36329, 36325])).
% 10.04/7.71 tff(36331,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s65) | node20(s65) | (~until21(s65)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36332,plain,
% 10.04/7.71 ((node20(s65) | (~until21(s65)) | xuntil22(s65)) <=> (xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36333,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s65) | node20(s65) | (~until21(s65))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36332])).
% 10.04/7.71 tff(36334,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36333, 36331])).
% 10.04/7.71 tff(36335,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36336,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 10.04/7.71 tff(36337,plain,
% 10.04/7.71 (xuntil22(s65)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36336, 35447, 36330, 34898])).
% 10.04/7.71 tff(36338,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36339,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36340,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36339, 36338])).
% 10.04/7.71 tff(36341,plain,
% 10.04/7.71 ((~xuntil22(s65)) | until21(s66)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36340, 5595, 35465])).
% 10.04/7.71 tff(36342,plain,
% 10.04/7.71 (until21(s66)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36341, 36337])).
% 10.04/7.71 tff(36343,plain,
% 10.04/7.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s66) | (~node20(s66)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s66) | (~node20(s66)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36344,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s66) | (~node20(s66)))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36345,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s66) | (~node20(s66))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36344, 36343])).
% 10.04/7.71 tff(36346,plain,
% 10.04/7.71 (~node20(s66)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36345, 32139, 34889])).
% 10.04/7.71 tff(36347,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s66) | node20(s66) | (~until21(s66)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36348,plain,
% 10.04/7.71 ((node20(s66) | (~until21(s66)) | xuntil22(s66)) <=> (xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36349,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s66) | node20(s66) | (~until21(s66))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36348])).
% 10.04/7.71 tff(36350,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36349, 36347])).
% 10.04/7.71 tff(36351,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36352,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36351, 36350])).
% 10.04/7.71 tff(36353,plain,
% 10.04/7.71 (xuntil22(s66) | (~until21(s66))),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36352, 35447, 36346])).
% 10.04/7.71 tff(36354,plain,
% 10.04/7.71 (xuntil22(s66)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36353, 36342])).
% 10.04/7.71 tff(36355,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36356,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36357,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36356, 36355])).
% 10.04/7.71 tff(36358,plain,
% 10.04/7.71 ((~xuntil22(s66)) | until21(s67)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36357, 5694, 35465])).
% 10.04/7.71 tff(36359,plain,
% 10.04/7.71 (until21(s67)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36358, 36354])).
% 10.04/7.71 tff(36360,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s67) | node20(s67) | (~until21(s67)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36361,plain,
% 10.04/7.71 ((node20(s67) | (~until21(s67)) | xuntil22(s67)) <=> (xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36362,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s67) | node20(s67) | (~until21(s67))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36361])).
% 10.04/7.71 tff(36363,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36362, 36360])).
% 10.04/7.71 tff(36364,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36365,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36364, 36363])).
% 10.04/7.71 tff(36366,plain,
% 10.04/7.71 (xuntil22(s67)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36365, 35447, 36359, 34882])).
% 10.04/7.71 tff(36367,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36368,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36369,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36368, 36367])).
% 10.04/7.71 tff(36370,plain,
% 10.04/7.71 ((~xuntil22(s67)) | until21(s68)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36369, 5772, 35465])).
% 10.04/7.71 tff(36371,plain,
% 10.04/7.71 (until21(s68)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36370, 36366])).
% 10.04/7.71 tff(36372,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s68) | node20(s68) | (~until21(s68)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36373,plain,
% 10.04/7.71 ((node20(s68) | (~until21(s68)) | xuntil22(s68)) <=> (xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36374,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s68) | node20(s68) | (~until21(s68))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36373])).
% 10.04/7.71 tff(36375,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36374, 36372])).
% 10.04/7.71 tff(36376,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36377,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36376, 36375])).
% 10.04/7.71 tff(36378,plain,
% 10.04/7.71 (xuntil22(s68) | node20(s68)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36377, 35447, 36371])).
% 10.04/7.71 tff(36379,plain,
% 10.04/7.71 (xuntil22(s68)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36378, 34874])).
% 10.04/7.71 tff(36380,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36381,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36382,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36381, 36380])).
% 10.04/7.71 tff(36383,plain,
% 10.04/7.71 ((~xuntil22(s68)) | until21(s69)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36382, 5833, 35465])).
% 10.04/7.71 tff(36384,plain,
% 10.04/7.71 (until21(s69)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36383, 36379])).
% 10.04/7.71 tff(36385,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s69) | node20(s69) | (~until21(s69)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36386,plain,
% 10.04/7.71 ((node20(s69) | (~until21(s69)) | xuntil22(s69)) <=> (xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36387,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s69) | node20(s69) | (~until21(s69))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36386])).
% 10.04/7.71 tff(36388,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36387, 36385])).
% 10.04/7.71 tff(36389,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36390,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36389, 36388])).
% 10.04/7.71 tff(36391,plain,
% 10.04/7.71 (xuntil22(s69)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36390, 35447, 36384, 34865])).
% 10.04/7.71 tff(36392,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36393,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36394,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36393, 36392])).
% 10.04/7.71 tff(36395,plain,
% 10.04/7.71 ((~xuntil22(s69)) | until21(s70)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36394, 5928, 35465])).
% 10.04/7.71 tff(36396,plain,
% 10.04/7.71 (until21(s70)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36395, 36391])).
% 10.04/7.71 tff(36397,plain,
% 10.04/7.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s70) | (~node20(s70)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s70) | (~node20(s70)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36398,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s70) | (~node20(s70)))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36399,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s70) | (~node20(s70))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36398, 36397])).
% 10.04/7.71 tff(36400,plain,
% 10.04/7.71 (~node20(s70)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36399, 32139, 34856])).
% 10.04/7.71 tff(36401,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s70) | node20(s70) | (~until21(s70)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36402,plain,
% 10.04/7.71 ((node20(s70) | (~until21(s70)) | xuntil22(s70)) <=> (xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36403,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s70) | node20(s70) | (~until21(s70))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36402])).
% 10.04/7.71 tff(36404,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36403, 36401])).
% 10.04/7.71 tff(36405,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36406,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36405, 36404])).
% 10.04/7.71 tff(36407,plain,
% 10.04/7.71 (xuntil22(s70) | (~until21(s70))),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36406, 35447, 36400])).
% 10.04/7.71 tff(36408,plain,
% 10.04/7.71 (xuntil22(s70)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36407, 36396])).
% 10.04/7.71 tff(36409,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36410,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36411,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36410, 36409])).
% 10.04/7.71 tff(36412,plain,
% 10.04/7.71 ((~xuntil22(s70)) | until21(s71)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36411, 5992, 35465])).
% 10.04/7.71 tff(36413,plain,
% 10.04/7.71 (until21(s71)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36412, 36408])).
% 10.04/7.71 tff(36414,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s71) | node20(s71) | (~until21(s71)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36415,plain,
% 10.04/7.71 ((node20(s71) | (~until21(s71)) | xuntil22(s71)) <=> (xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36416,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s71) | node20(s71) | (~until21(s71))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36415])).
% 10.04/7.71 tff(36417,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36416, 36414])).
% 10.04/7.71 tff(36418,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36419,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36418, 36417])).
% 10.04/7.71 tff(36420,plain,
% 10.04/7.71 (xuntil22(s71)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36419, 35447, 36413, 34849])).
% 10.04/7.71 tff(36421,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36422,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36423,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36422, 36421])).
% 10.04/7.71 tff(36424,plain,
% 10.04/7.71 ((~xuntil22(s71)) | until21(s72)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36423, 6067, 35465])).
% 10.04/7.71 tff(36425,plain,
% 10.04/7.71 (until21(s72)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36424, 36420])).
% 10.04/7.71 tff(36426,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s72) | node20(s72) | (~until21(s72)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36427,plain,
% 10.04/7.71 ((node20(s72) | (~until21(s72)) | xuntil22(s72)) <=> (xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36428,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s72) | node20(s72) | (~until21(s72))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36427])).
% 10.04/7.71 tff(36429,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36428, 36426])).
% 10.04/7.71 tff(36430,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36431,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36430, 36429])).
% 10.04/7.71 tff(36432,plain,
% 10.04/7.71 (xuntil22(s72) | node20(s72)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36431, 35447, 36425])).
% 10.04/7.71 tff(36433,plain,
% 10.04/7.71 (xuntil22(s72)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36432, 34841])).
% 10.04/7.71 tff(36434,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36435,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36436,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36435, 36434])).
% 10.04/7.71 tff(36437,plain,
% 10.04/7.71 ((~xuntil22(s72)) | until21(s73)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36436, 6156, 35465])).
% 10.04/7.71 tff(36438,plain,
% 10.04/7.71 (until21(s73)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36437, 36433])).
% 10.04/7.71 tff(36439,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s73) | node20(s73) | (~until21(s73)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36440,plain,
% 10.04/7.71 ((node20(s73) | (~until21(s73)) | xuntil22(s73)) <=> (xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36441,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s73) | node20(s73) | (~until21(s73))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36440])).
% 10.04/7.71 tff(36442,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36441, 36439])).
% 10.04/7.71 tff(36443,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36444,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36443, 36442])).
% 10.04/7.71 tff(36445,plain,
% 10.04/7.71 (xuntil22(s73)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36444, 35447, 36438, 34832])).
% 10.04/7.71 tff(36446,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36447,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36448,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36447, 36446])).
% 10.04/7.71 tff(36449,plain,
% 10.04/7.71 ((~xuntil22(s73)) | until21(s74)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36448, 6223, 35465])).
% 10.04/7.71 tff(36450,plain,
% 10.04/7.71 (until21(s74)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36449, 36445])).
% 10.04/7.71 tff(36451,plain,
% 10.04/7.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s74) | (~node20(s74)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s74) | (~node20(s74)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36452,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s74) | (~node20(s74)))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36453,plain,
% 10.04/7.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s74) | (~node20(s74))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36452, 36451])).
% 10.04/7.71 tff(36454,plain,
% 10.04/7.71 (~node20(s74)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36453, 32139, 34823])).
% 10.04/7.71 tff(36455,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s74) | node20(s74) | (~until21(s74)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36456,plain,
% 10.04/7.71 ((node20(s74) | (~until21(s74)) | xuntil22(s74)) <=> (xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36457,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s74) | node20(s74) | (~until21(s74))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36456])).
% 10.04/7.71 tff(36458,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36457, 36455])).
% 10.04/7.71 tff(36459,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36460,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36459, 36458])).
% 10.04/7.71 tff(36461,plain,
% 10.04/7.71 (xuntil22(s74) | (~until21(s74))),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36460, 35447, 36454])).
% 10.04/7.71 tff(36462,plain,
% 10.04/7.71 (xuntil22(s74)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36461, 36450])).
% 10.04/7.71 tff(36463,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36464,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36465,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36464, 36463])).
% 10.04/7.71 tff(36466,plain,
% 10.04/7.71 ((~xuntil22(s74)) | until21(s75)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36465, 6322, 35465])).
% 10.04/7.71 tff(36467,plain,
% 10.04/7.71 (until21(s75)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36466, 36462])).
% 10.04/7.71 tff(36468,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s75) | node20(s75) | (~until21(s75)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36469,plain,
% 10.04/7.71 ((node20(s75) | (~until21(s75)) | xuntil22(s75)) <=> (xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36470,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s75) | node20(s75) | (~until21(s75))))),
% 10.04/7.71 inference(monotonicity,[status(thm)],[36469])).
% 10.04/7.71 tff(36471,plain,
% 10.04/7.71 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 10.04/7.71 inference(transitivity,[status(thm)],[36470, 36468])).
% 10.04/7.71 tff(36472,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36473,plain,
% 10.04/7.71 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75))),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36472, 36471])).
% 10.04/7.71 tff(36474,plain,
% 10.04/7.71 (xuntil22(s75)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36473, 35447, 36467, 34816])).
% 10.04/7.71 tff(36475,plain,
% 10.04/7.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))),
% 10.04/7.71 inference(rewrite,[status(thm)],[])).
% 10.04/7.71 tff(36476,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))),
% 10.04/7.71 inference(quant_inst,[status(thm)],[])).
% 10.04/7.71 tff(36477,plain,
% 10.04/7.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76)),
% 10.04/7.71 inference(modus_ponens,[status(thm)],[36476, 36475])).
% 10.04/7.71 tff(36478,plain,
% 10.04/7.71 ((~xuntil22(s75)) | until21(s76)),
% 10.04/7.71 inference(unit_resolution,[status(thm)],[36477, 6400, 35465])).
% 10.04/7.72 tff(36479,plain,
% 10.04/7.72 (until21(s76)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36478, 36474])).
% 10.04/7.72 tff(36480,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s76) | node20(s76) | (~until21(s76)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36481,plain,
% 10.04/7.72 ((node20(s76) | (~until21(s76)) | xuntil22(s76)) <=> (xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36482,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s76) | node20(s76) | (~until21(s76))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36481])).
% 10.04/7.72 tff(36483,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36482, 36480])).
% 10.04/7.72 tff(36484,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36485,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36484, 36483])).
% 10.04/7.72 tff(36486,plain,
% 10.04/7.72 (xuntil22(s76) | node20(s76)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36485, 35447, 36479])).
% 10.04/7.72 tff(36487,plain,
% 10.04/7.72 (xuntil22(s76)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36486, 34808])).
% 10.04/7.72 tff(36488,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36489,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36490,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36489, 36488])).
% 10.04/7.72 tff(36491,plain,
% 10.04/7.72 ((~xuntil22(s76)) | until21(s77)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36490, 6461, 35465])).
% 10.04/7.72 tff(36492,plain,
% 10.04/7.72 (until21(s77)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36491, 36487])).
% 10.04/7.72 tff(36493,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s77) | node20(s77) | (~until21(s77)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36494,plain,
% 10.04/7.72 ((node20(s77) | (~until21(s77)) | xuntil22(s77)) <=> (xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36495,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s77) | node20(s77) | (~until21(s77))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36494])).
% 10.04/7.72 tff(36496,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36495, 36493])).
% 10.04/7.72 tff(36497,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36498,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36497, 36496])).
% 10.04/7.72 tff(36499,plain,
% 10.04/7.72 (xuntil22(s77)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36498, 35447, 36492, 34799])).
% 10.04/7.72 tff(36500,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36501,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36502,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36501, 36500])).
% 10.04/7.72 tff(36503,plain,
% 10.04/7.72 ((~xuntil22(s77)) | until21(s78)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36502, 6556, 35465])).
% 10.04/7.72 tff(36504,plain,
% 10.04/7.72 (until21(s78)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36503, 36499])).
% 10.04/7.72 tff(36505,plain,
% 10.04/7.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s78) | (~node20(s78)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s78) | (~node20(s78)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36506,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s78) | (~node20(s78)))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36507,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s78) | (~node20(s78))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36506, 36505])).
% 10.04/7.72 tff(36508,plain,
% 10.04/7.72 (~node20(s78)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36507, 32139, 34790])).
% 10.04/7.72 tff(36509,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s78) | node20(s78) | (~until21(s78)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36510,plain,
% 10.04/7.72 ((node20(s78) | (~until21(s78)) | xuntil22(s78)) <=> (xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36511,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s78) | node20(s78) | (~until21(s78))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36510])).
% 10.04/7.72 tff(36512,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36511, 36509])).
% 10.04/7.72 tff(36513,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36514,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36513, 36512])).
% 10.04/7.72 tff(36515,plain,
% 10.04/7.72 (xuntil22(s78) | (~until21(s78))),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36514, 35447, 36508])).
% 10.04/7.72 tff(36516,plain,
% 10.04/7.72 (xuntil22(s78)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36515, 36504])).
% 10.04/7.72 tff(36517,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36518,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36519,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36518, 36517])).
% 10.04/7.72 tff(36520,plain,
% 10.04/7.72 ((~xuntil22(s78)) | until21(s79)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36519, 6620, 35465])).
% 10.04/7.72 tff(36521,plain,
% 10.04/7.72 (until21(s79)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36520, 36516])).
% 10.04/7.72 tff(36522,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s79) | node20(s79) | (~until21(s79)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36523,plain,
% 10.04/7.72 ((node20(s79) | (~until21(s79)) | xuntil22(s79)) <=> (xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36524,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s79) | node20(s79) | (~until21(s79))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36523])).
% 10.04/7.72 tff(36525,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36524, 36522])).
% 10.04/7.72 tff(36526,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36527,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36526, 36525])).
% 10.04/7.72 tff(36528,plain,
% 10.04/7.72 (xuntil22(s79)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36527, 35447, 36521, 34783])).
% 10.04/7.72 tff(36529,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36530,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36531,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36530, 36529])).
% 10.04/7.72 tff(36532,plain,
% 10.04/7.72 ((~xuntil22(s79)) | until21(s80)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36531, 6695, 35465])).
% 10.04/7.72 tff(36533,plain,
% 10.04/7.72 (until21(s80)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36532, 36528])).
% 10.04/7.72 tff(36534,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s80) | node20(s80) | (~until21(s80)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36535,plain,
% 10.04/7.72 ((node20(s80) | (~until21(s80)) | xuntil22(s80)) <=> (xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36536,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s80) | node20(s80) | (~until21(s80))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36535])).
% 10.04/7.72 tff(36537,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36536, 36534])).
% 10.04/7.72 tff(36538,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36539,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36538, 36537])).
% 10.04/7.72 tff(36540,plain,
% 10.04/7.72 (xuntil22(s80) | node20(s80)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36539, 35447, 36533])).
% 10.04/7.72 tff(36541,plain,
% 10.04/7.72 (xuntil22(s80)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36540, 34775])).
% 10.04/7.72 tff(36542,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36543,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36544,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36543, 36542])).
% 10.04/7.72 tff(36545,plain,
% 10.04/7.72 ((~xuntil22(s80)) | until21(s81)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36544, 6784, 35465])).
% 10.04/7.72 tff(36546,plain,
% 10.04/7.72 (until21(s81)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36545, 36541])).
% 10.04/7.72 tff(36547,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s81) | node20(s81) | (~until21(s81)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36548,plain,
% 10.04/7.72 ((node20(s81) | (~until21(s81)) | xuntil22(s81)) <=> (xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36549,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s81) | node20(s81) | (~until21(s81))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36548])).
% 10.04/7.72 tff(36550,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36549, 36547])).
% 10.04/7.72 tff(36551,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36552,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36551, 36550])).
% 10.04/7.72 tff(36553,plain,
% 10.04/7.72 (xuntil22(s81)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36552, 35447, 36546, 34766])).
% 10.04/7.72 tff(36554,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36555,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36556,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36555, 36554])).
% 10.04/7.72 tff(36557,plain,
% 10.04/7.72 ((~xuntil22(s81)) | until21(s82)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36556, 6851, 35465])).
% 10.04/7.72 tff(36558,plain,
% 10.04/7.72 (until21(s82)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36557, 36553])).
% 10.04/7.72 tff(36559,plain,
% 10.04/7.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s82) | (~node20(s82)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s82) | (~node20(s82)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36560,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s82) | (~node20(s82)))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36561,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s82) | (~node20(s82))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36560, 36559])).
% 10.04/7.72 tff(36562,plain,
% 10.04/7.72 (~node20(s82)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36561, 32139, 34757])).
% 10.04/7.72 tff(36563,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s82) | node20(s82) | (~until21(s82)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36564,plain,
% 10.04/7.72 ((node20(s82) | (~until21(s82)) | xuntil22(s82)) <=> (xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36565,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s82) | node20(s82) | (~until21(s82))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36564])).
% 10.04/7.72 tff(36566,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36565, 36563])).
% 10.04/7.72 tff(36567,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36568,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36567, 36566])).
% 10.04/7.72 tff(36569,plain,
% 10.04/7.72 (xuntil22(s82) | (~until21(s82))),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36568, 35447, 36562])).
% 10.04/7.72 tff(36570,plain,
% 10.04/7.72 (xuntil22(s82)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36569, 36558])).
% 10.04/7.72 tff(36571,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36572,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36573,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36572, 36571])).
% 10.04/7.72 tff(36574,plain,
% 10.04/7.72 ((~xuntil22(s82)) | until21(s83)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36573, 6950, 35465])).
% 10.04/7.72 tff(36575,plain,
% 10.04/7.72 (until21(s83)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36574, 36570])).
% 10.04/7.72 tff(36576,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s83) | node20(s83) | (~until21(s83)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36577,plain,
% 10.04/7.72 ((node20(s83) | (~until21(s83)) | xuntil22(s83)) <=> (xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36578,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s83) | node20(s83) | (~until21(s83))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36577])).
% 10.04/7.72 tff(36579,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36578, 36576])).
% 10.04/7.72 tff(36580,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36581,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36580, 36579])).
% 10.04/7.72 tff(36582,plain,
% 10.04/7.72 (xuntil22(s83)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36581, 35447, 36575, 34750])).
% 10.04/7.72 tff(36583,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36584,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36585,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36584, 36583])).
% 10.04/7.72 tff(36586,plain,
% 10.04/7.72 ((~xuntil22(s83)) | until21(s84)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36585, 7028, 35465])).
% 10.04/7.72 tff(36587,plain,
% 10.04/7.72 (until21(s84)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36586, 36582])).
% 10.04/7.72 tff(36588,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s84) | node20(s84) | (~until21(s84)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36589,plain,
% 10.04/7.72 ((node20(s84) | (~until21(s84)) | xuntil22(s84)) <=> (xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36590,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s84) | node20(s84) | (~until21(s84))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36589])).
% 10.04/7.72 tff(36591,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36590, 36588])).
% 10.04/7.72 tff(36592,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36593,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36592, 36591])).
% 10.04/7.72 tff(36594,plain,
% 10.04/7.72 (xuntil22(s84) | node20(s84)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36593, 35447, 36587])).
% 10.04/7.72 tff(36595,plain,
% 10.04/7.72 (xuntil22(s84)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36594, 34742])).
% 10.04/7.72 tff(36596,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36597,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36598,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36597, 36596])).
% 10.04/7.72 tff(36599,plain,
% 10.04/7.72 ((~xuntil22(s84)) | until21(s85)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36598, 7089, 35465])).
% 10.04/7.72 tff(36600,plain,
% 10.04/7.72 (until21(s85)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36599, 36595])).
% 10.04/7.72 tff(36601,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s85) | node20(s85) | (~until21(s85)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36602,plain,
% 10.04/7.72 ((node20(s85) | (~until21(s85)) | xuntil22(s85)) <=> (xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36603,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s85) | node20(s85) | (~until21(s85))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36602])).
% 10.04/7.72 tff(36604,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36603, 36601])).
% 10.04/7.72 tff(36605,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36606,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36605, 36604])).
% 10.04/7.72 tff(36607,plain,
% 10.04/7.72 (xuntil22(s85)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36606, 35447, 36600, 34733])).
% 10.04/7.72 tff(36608,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36609,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36610,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36609, 36608])).
% 10.04/7.72 tff(36611,plain,
% 10.04/7.72 ((~xuntil22(s85)) | until21(s86)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36610, 7184, 35465])).
% 10.04/7.72 tff(36612,plain,
% 10.04/7.72 (until21(s86)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36611, 36607])).
% 10.04/7.72 tff(36613,plain,
% 10.04/7.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s86) | (~node20(s86)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s86) | (~node20(s86)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36614,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s86) | (~node20(s86)))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36615,plain,
% 10.04/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s86) | (~node20(s86))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36614, 36613])).
% 10.04/7.72 tff(36616,plain,
% 10.04/7.72 (~node20(s86)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36615, 32139, 34724])).
% 10.04/7.72 tff(36617,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s86) | node20(s86) | (~until21(s86)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36618,plain,
% 10.04/7.72 ((node20(s86) | (~until21(s86)) | xuntil22(s86)) <=> (xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36619,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s86) | node20(s86) | (~until21(s86))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36618])).
% 10.04/7.72 tff(36620,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36619, 36617])).
% 10.04/7.72 tff(36621,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36622,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 10.04/7.72 tff(36623,plain,
% 10.04/7.72 (xuntil22(s86) | (~until21(s86))),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36622, 35447, 36616])).
% 10.04/7.72 tff(36624,plain,
% 10.04/7.72 (xuntil22(s86)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36623, 36612])).
% 10.04/7.72 tff(36625,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36626,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36627,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36626, 36625])).
% 10.04/7.72 tff(36628,plain,
% 10.04/7.72 ((~xuntil22(s86)) | until21(s87)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36627, 7248, 35465])).
% 10.04/7.72 tff(36629,plain,
% 10.04/7.72 (until21(s87)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36628, 36624])).
% 10.04/7.72 tff(36630,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s87) | node20(s87) | (~until21(s87)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36631,plain,
% 10.04/7.72 ((node20(s87) | (~until21(s87)) | xuntil22(s87)) <=> (xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36632,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s87) | node20(s87) | (~until21(s87))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36631])).
% 10.04/7.72 tff(36633,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36632, 36630])).
% 10.04/7.72 tff(36634,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36635,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36634, 36633])).
% 10.04/7.72 tff(36636,plain,
% 10.04/7.72 (xuntil22(s87)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36635, 35447, 36629, 34717])).
% 10.04/7.72 tff(36637,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36638,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36639,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36638, 36637])).
% 10.04/7.72 tff(36640,plain,
% 10.04/7.72 ((~xuntil22(s87)) | until21(s88)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36639, 7323, 35465])).
% 10.04/7.72 tff(36641,plain,
% 10.04/7.72 (until21(s88)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36640, 36636])).
% 10.04/7.72 tff(36642,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s88) | node20(s88) | (~until21(s88)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36643,plain,
% 10.04/7.72 ((node20(s88) | (~until21(s88)) | xuntil22(s88)) <=> (xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36644,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s88) | node20(s88) | (~until21(s88))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36643])).
% 10.04/7.72 tff(36645,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36644, 36642])).
% 10.04/7.72 tff(36646,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36647,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36646, 36645])).
% 10.04/7.72 tff(36648,plain,
% 10.04/7.72 (xuntil22(s88) | node20(s88)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36647, 35447, 36641])).
% 10.04/7.72 tff(36649,plain,
% 10.04/7.72 (xuntil22(s88)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36648, 34709])).
% 10.04/7.72 tff(36650,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36651,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36652,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89)),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36651, 36650])).
% 10.04/7.72 tff(36653,plain,
% 10.04/7.72 ((~xuntil22(s88)) | until21(s89)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36652, 7412, 35465])).
% 10.04/7.72 tff(36654,plain,
% 10.04/7.72 (until21(s89)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36653, 36649])).
% 10.04/7.72 tff(36655,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s89) | node20(s89) | (~until21(s89)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36656,plain,
% 10.04/7.72 ((node20(s89) | (~until21(s89)) | xuntil22(s89)) <=> (xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36657,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s89) | node20(s89) | (~until21(s89))))),
% 10.04/7.72 inference(monotonicity,[status(thm)],[36656])).
% 10.04/7.72 tff(36658,plain,
% 10.04/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 10.04/7.72 inference(transitivity,[status(thm)],[36657, 36655])).
% 10.04/7.72 tff(36659,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36660,plain,
% 10.04/7.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89))),
% 10.04/7.72 inference(modus_ponens,[status(thm)],[36659, 36658])).
% 10.04/7.72 tff(36661,plain,
% 10.04/7.72 (xuntil22(s89)),
% 10.04/7.72 inference(unit_resolution,[status(thm)],[36660, 35447, 36654, 34700])).
% 10.04/7.72 tff(36662,plain,
% 10.04/7.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))),
% 10.04/7.72 inference(rewrite,[status(thm)],[])).
% 10.04/7.72 tff(36663,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))),
% 10.04/7.72 inference(quant_inst,[status(thm)],[])).
% 10.04/7.72 tff(36664,plain,
% 10.04/7.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90)),
% 10.09/7.72 inference(modus_ponens,[status(thm)],[36663, 36662])).
% 10.09/7.72 tff(36665,plain,
% 10.09/7.72 ((~xuntil22(s89)) | until21(s90)),
% 10.09/7.72 inference(unit_resolution,[status(thm)],[36664, 7479, 35465])).
% 10.09/7.72 tff(36666,plain,
% 10.09/7.72 (until21(s90)),
% 10.09/7.72 inference(unit_resolution,[status(thm)],[36665, 36661])).
% 10.09/7.72 tff(36667,plain,
% 10.09/7.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s90) | (~node20(s90)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s90) | (~node20(s90)))),
% 10.09/7.72 inference(rewrite,[status(thm)],[])).
% 10.09/7.72 tff(36668,plain,
% 10.09/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s90) | (~node20(s90)))),
% 10.09/7.72 inference(quant_inst,[status(thm)],[])).
% 10.09/7.72 tff(36669,plain,
% 10.09/7.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s90) | (~node20(s90))),
% 10.09/7.72 inference(modus_ponens,[status(thm)],[36668, 36667])).
% 10.09/7.72 tff(36670,plain,
% 10.09/7.72 (~node20(s90)),
% 10.09/7.72 inference(unit_resolution,[status(thm)],[36669, 32139, 34691])).
% 10.09/7.72 tff(36671,plain,
% 10.09/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s90) | node20(s90) | (~until21(s90)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 10.09/7.72 inference(rewrite,[status(thm)],[])).
% 10.09/7.72 tff(36672,plain,
% 10.09/7.72 ((node20(s90) | (~until21(s90)) | xuntil22(s90)) <=> (xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 10.09/7.72 inference(rewrite,[status(thm)],[])).
% 10.09/7.72 tff(36673,plain,
% 10.09/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s90) | node20(s90) | (~until21(s90))))),
% 10.09/7.72 inference(monotonicity,[status(thm)],[36672])).
% 10.09/7.72 tff(36674,plain,
% 10.09/7.72 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 10.09/7.72 inference(transitivity,[status(thm)],[36673, 36671])).
% 10.09/7.73 tff(36675,plain,
% 10.09/7.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))),
% 10.09/7.73 inference(quant_inst,[status(thm)],[])).
% 10.09/7.73 tff(36676,plain,
% 10.09/7.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90))),
% 10.09/7.73 inference(modus_ponens,[status(thm)],[36675, 36674])).
% 10.09/7.73 tff(36677,plain,
% 10.09/7.73 (xuntil22(s90) | (~until21(s90))),
% 10.09/7.73 inference(unit_resolution,[status(thm)],[36676, 35447, 36670])).
% 10.09/7.73 tff(36678,plain,
% 10.09/7.73 (xuntil22(s90)),
% 10.09/7.73 inference(unit_resolution,[status(thm)],[36677, 36666])).
% 10.09/7.73 tff(36679,plain,
% 10.09/7.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))),
% 10.09/7.73 inference(rewrite,[status(thm)],[])).
% 10.09/7.73 tff(36680,plain,
% 10.09/7.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))),
% 10.09/7.73 inference(quant_inst,[status(thm)],[])).
% 10.09/7.73 tff(36681,plain,
% 10.09/7.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91)),
% 10.09/7.73 inference(modus_ponens,[status(thm)],[36680, 36679])).
% 10.09/7.73 tff(36682,plain,
% 10.09/7.73 ((~xuntil22(s90)) | until21(s91)),
% 10.09/7.73 inference(unit_resolution,[status(thm)],[36681, 7578, 35465])).
% 10.09/7.73 tff(36683,plain,
% 10.09/7.73 (until21(s91)),
% 10.09/7.73 inference(unit_resolution,[status(thm)],[36682, 36678])).
% 10.09/7.73 tff(36684,plain,
% 10.09/7.73 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s91) | node20(s91) | (~until21(s91)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 10.09/7.73 inference(rewrite,[status(thm)],[])).
% 10.09/7.73 tff(36685,plain,
% 10.09/7.73 ((node20(s91) | (~until21(s91)) | xuntil22(s91)) <=> (xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 10.09/7.73 inference(rewrite,[status(thm)],[])).
% 10.09/7.73 tff(36686,plain,
% 10.09/7.73 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s91) | node20(s91) | (~until21(s91))))),
% 10.09/7.73 inference(monotonicity,[status(thm)],[36685])).
% 10.09/7.73 tff(36687,plain,
% 10.09/7.73 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 10.09/7.73 inference(transitivity,[status(thm)],[36686, 36684])).
% 10.09/7.73 tff(36688,plain,
% 10.09/7.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))),
% 10.09/7.73 inference(quant_inst,[status(thm)],[])).
% 10.09/7.73 tff(36689,plain,
% 10.09/7.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91))),
% 10.09/7.73 inference(modus_ponens,[status(thm)],[36688, 36687])).
% 10.09/7.73 tff(36690,plain,
% 10.09/7.73 (xuntil22(s91)),
% 10.09/7.73 inference(unit_resolution,[status(thm)],[36689, 35447, 36683, 34684])).
% 10.09/7.73 tff(36691,plain,
% 10.09/7.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s91, s92)) | (~xuntil22(s91)) | until21(s92))) <